Tick one box (A, B, C or D) for each question. 15 questions, 1 mark each.Name: __________ Class: ______
Mark bar · shade a box for each question you got right
123456789101112131415
/ 15
1The graph shows the curve $y = x^2$ (red) and the line $y = 5x - 6$ (blue). They meet at two points. Use the graph to write down the coordinates of both points of intersection.
Ax = 2 or x = 3B(-2, 4) and (-3, 9)C(2, 9) and (3, 4)D(2, 4) and (3, 9)
2Solve the simultaneous equations $$\begin{aligned} y &= x^2 \\ y &= -4x - 3 \end{aligned}$$ Give the smaller of the two $x$-coordinates.
A3B-1C-3D-4
3How many points do the line $y = -x + 4$ and the curve $y = x^2 + 8$ have in common?
A0B2C1D3
4The graph shows the curve $y = x^2$ (red) and the line $y = -x + 6$ (blue). They meet at two points. Use the graph to write down the coordinates of both points of intersection.
A(-3, 4) and (2, 9)Bx = -3 or x = 2C(3, 9) and (-2, 4)D(-3, 9) and (2, 4)
5Solve the simultaneous equations $$\begin{aligned} y &= x^2 \\ y &= -2x + 3 \end{aligned}$$ Give the smaller of the two $x$-coordinates.
A-3B-2C3D1
6How many points do the line $y = -3x + 4$ and the curve $y = x^2 + 9$ have in common?
A2B3C0D1
7The graph shows the curve $y = x^2$ (red) and the line $y = -4x - 3$ (blue). They meet at two points. Use the graph to write down the coordinates of both points of intersection.
A(-3, 1) and (-1, 9)B(-3, 9) and (-1, 1)Cx = -3 or x = -1D(3, 9) and (1, 1)
8Solve the simultaneous equations $$\begin{aligned} y &= x^2 \\ y &= 7x - 10 \end{aligned}$$ Give the smaller of the two $x$-coordinates.
A5B2C7D-2
9How many points do the line $y = -4x + 1$ and the curve $y = x^2 + 2$ have in common?
A1B3C0D2
10The graph shows the curve $y = x^2$ (red) and the line $y = -2x + 3$ (blue). They meet at two points. Use the graph to write down the coordinates of both points of intersection.
A(-3, 9) and (1, 1)B(-3, 1) and (1, 9)Cx = -3 or x = 1D(3, 9) and (-1, 1)
11How many points do the line $y = x - 4$ and the curve $y = x^2 - 6$ have in common?
A1B0C2D3
12The line $y = 2x + k$ is a tangent to the curve $y = x^2$. Work out the value of $k$.
A-1B1C0D-2
13The graph shows the circle $x^2 + y^2 = 20$ (radius about 4.5) and the line $y = -x - 6$.The line meets the circle at two points. Use the graph to find the smaller of the two $x$-coordinates of these points.
A-3B4C-2D-4
14Solve the simultaneous equations $$\begin{aligned} x^2 + y^2 &= 17 \\ y &= x + 3 \end{aligned}$$
A(1, -1) and (-4, 4)B(-1, -4) and (4, 1)Cx = 1 or x = -4D(1, 4) and (-4, -1)
15Solve the simultaneous equations $$\begin{aligned} y &= x^2 + x - 4 \\ y &= 2x - 2 \end{aligned}$$
Ax = -1 or x = 2B(-1, 2) and (2, -4)C(1, -4) and (-2, 2)D(-1, -4) and (2, 2)
How confident do you feel on this topic now?RedAmberGreen
Tick one box (A, B, C or D) for each question. 15 questions, 1 mark each.Name: __________ Class: ______
Mark bar · shade a box for each question you got right
123456789101112131415
/ 15
1Solve the simultaneous equations $$\begin{aligned} y &= x^2 \\ y &= -5x - 6 \end{aligned}$$ Give the smaller of the two $x$-coordinates.
A-2B-3C3D-5
2How many points do the line $y = 3x + 4$ and the curve $y = x^2 + 7$ have in common?
A3B0C2D1
3The graph shows the curve $y = x^2$ (red) and the line $y = -x + 6$ (blue). They meet at two points. Use the graph to write down the coordinates of both points of intersection.
A(-3, 4) and (2, 9)B(-3, 9) and (2, 4)C(3, 9) and (-2, 4)Dx = -3 or x = 2
4Solve the simultaneous equations $$\begin{aligned} y &= x^2 \\ y &= -8x - 15 \end{aligned}$$ Give the smaller of the two $x$-coordinates.
A5B-3C-8D-5
5How many points do the line $y = -2x - 2$ and the curve $y = x^2 + 2$ have in common?
A0B1C2D3
6The graph shows the curve $y = x^2$ (red) and the line $y = x + 6$ (blue). They meet at two points. Use the graph to write down the coordinates of both points of intersection.
A(2, 4) and (-3, 9)Bx = -2 or x = 3C(-2, 9) and (3, 4)D(-2, 4) and (3, 9)
7Solve the simultaneous equations $$\begin{aligned} y &= x^2 \\ y &= -4x + 5 \end{aligned}$$ Give the smaller of the two $x$-coordinates.
A-4B1C-5D5
8How many points do the line $y = x + 1$ and the curve $y = x^2 + 3$ have in common?
A3B1C0D2
9The graph shows the curve $y = x^2$ (red) and the line $y = 5x - 6$ (blue). They meet at two points. Use the graph to write down the coordinates of both points of intersection.
A(2, 9) and (3, 4)Bx = 2 or x = 3C(-2, 4) and (-3, 9)D(2, 4) and (3, 9)
10Solve the simultaneous equations $$\begin{aligned} y &= x^2 \\ y &= 3x - 2 \end{aligned}$$ Give the smaller of the two $x$-coordinates.
A2B-1C3D1
11How many points do the line $y = x - 3$ and the curve $y = x^2 - 5$ have in common?
A0B2C3D1
12The line $y = -2x + k$ is a tangent to the curve $y = x^2 - 1$. Work out the value of $k$.
A0B-2C-3D-1
13The graph shows the circle $x^2 + y^2 = 10$ (radius about 3.2) and the line $y = x - 2$.The line meets the circle at two points. Use the graph to find the smaller of the two $x$-coordinates of these points.
A-1B0C1D3
14Solve the simultaneous equations $$\begin{aligned} y &= x^2 - 3x \\ y &= -2x + 2 \end{aligned}$$
A(-2, -2) and (1, 4)Bx = 2 or x = -1C(2, 4) and (-1, -2)D(2, -2) and (-1, 4)
15Solve the simultaneous equations $$\begin{aligned} x^2 + y^2 &= 17 \\ y &= x - 5 \end{aligned}$$
A(4, -4) and (1, -1)Bx = 4 or x = 1C(-4, 1) and (-1, 4)D(4, -1) and (1, -4)
How confident do you feel on this topic now?RedAmberGreen
Tick one box (A, B, C or D) for each question. 15 questions, 1 mark each.Name: __________ Class: ______
Mark bar · shade a box for each question you got right
123456789101112131415
/ 15
1How many points do the line $y = -x + 1$ and the curve $y = x^2 + 4$ have in common?
A2B3C1D0
2Solve the simultaneous equations $$\begin{aligned} y &= x^2 \\ y &= x + 12 \end{aligned}$$ Give the smaller of the two $x$-coordinates.
A3B1C4D-3
3The graph shows the curve $y = x^2$ (red) and the line $y = 5x - 6$ (blue). They meet at two points. Use the graph to write down the coordinates of both points of intersection.
A(2, 9) and (3, 4)Bx = 2 or x = 3C(2, 4) and (3, 9)D(-2, 4) and (-3, 9)
4How many points do the line $y = 3x - 4$ and the curve $y = x^2 + 2$ have in common?
A3B2C0D1
5Solve the simultaneous equations $$\begin{aligned} y &= x^2 \\ y &= 6x - 5 \end{aligned}$$ Give the smaller of the two $x$-coordinates.
A1B5C6D-1
6The graph shows the curve $y = x^2$ (red) and the line $y = -4x - 3$ (blue). They meet at two points. Use the graph to write down the coordinates of both points of intersection.
A(3, 9) and (1, 1)B(-3, 1) and (-1, 9)C(-3, 9) and (-1, 1)Dx = -3 or x = -1
7How many points do the line $y = x - 2$ and the curve $y = x^2 - 5$ have in common?
A3B0C1D2
8Solve the simultaneous equations $$\begin{aligned} y &= x^2 \\ y &= -3x + 10 \end{aligned}$$ Give the smaller of the two $x$-coordinates.
A5B2C-5D-3
9The graph shows the curve $y = x^2$ (red) and the line $y = 4x - 3$ (blue). They meet at two points. Use the graph to write down the coordinates of both points of intersection.
Ax = 1 or x = 3B(1, 1) and (3, 9)C(1, 9) and (3, 1)D(-1, 1) and (-3, 9)
10How many points do the line $y = -x - 4$ and the curve $y = x^2 - 5$ have in common?
A0B2C3D1
11Solve the simultaneous equations $$\begin{aligned} y &= x^2 \\ y &= 3x - 2 \end{aligned}$$ Give the smaller of the two $x$-coordinates.
A-1B2C3D1
12The line $y = -4x + k$ is a tangent to the curve $y = x^2$. Work out the value of $k$.
A-4B-8C0D4
13The graph shows the circle $x^2 + y^2 = 17$ (radius about 4.1) and the line $y = x + 5$.The line meets the circle at two points. Use the graph to find the smaller of the two $x$-coordinates of these points.
A-1B-4C4D-3
14Solve the simultaneous equations $$\begin{aligned} y &= x^2 + 9x + 4 \\ y &= 3x - 4 \end{aligned}$$
A(-2, -16) and (-4, -10)Bx = -2 or x = -4C(2, -10) and (4, -16)D(-2, -10) and (-4, -16)
15Solve the simultaneous equations $$\begin{aligned} x^2 + y^2 &= 13 \\ y &= -x - 1 \end{aligned}$$
Ax = -3 or x = 2B(-3, 2) and (2, -3)C(-3, -3) and (2, 2)D(3, -2) and (-2, 3)
How confident do you feel on this topic now?RedAmberGreen
Tick one box (A, B, C or D) for each question. 15 questions, 1 mark each.Name: __________ Class: ______
Mark bar · shade a box for each question you got right
123456789101112131415
/ 15
1How many points do the line $y = 4x + 2$ and the curve $y = x^2 + 3$ have in common?
A3B1C2D0
2The graph shows the curve $y = x^2$ (red) and the line $y = 2x + 3$ (blue). They meet at two points. Use the graph to write down the coordinates of both points of intersection.
A(1, 1) and (-3, 9)B(-1, 9) and (3, 1)Cx = -1 or x = 3D(-1, 1) and (3, 9)
3Solve the simultaneous equations $$\begin{aligned} y &= x^2 \\ y &= -2x + 15 \end{aligned}$$ Give the smaller of the two $x$-coordinates.
A5B3C-5D-2
4How many points do the line $y = 2x - 1$ and the curve $y = x^2$ have in common?
A0B3C2D1
5The graph shows the curve $y = x^2$ (red) and the line $y = 5x - 6$ (blue). They meet at two points. Use the graph to write down the coordinates of both points of intersection.
A(2, 4) and (3, 9)Bx = 2 or x = 3C(2, 9) and (3, 4)D(-2, 4) and (-3, 9)
6Solve the simultaneous equations $$\begin{aligned} y &= x^2 \\ y &= -3x + 10 \end{aligned}$$ Give the smaller of the two $x$-coordinates.
A-5B-3C2D5
7How many points do the line $y = 2x + 1$ and the curve $y = x^2 + 5$ have in common?
A0B1C3D2
8The graph shows the curve $y = x^2$ (red) and the line $y = x + 6$ (blue). They meet at two points. Use the graph to write down the coordinates of both points of intersection.
A(-2, 9) and (3, 4)Bx = -2 or x = 3C(2, 4) and (-3, 9)D(-2, 4) and (3, 9)
9Solve the simultaneous equations $$\begin{aligned} y &= x^2 \\ y &= 3x - 2 \end{aligned}$$ Give the smaller of the two $x$-coordinates.
A3B1C-1D2
10How many points do the line $y = -2x + 1$ and the curve $y = x^2 + 3$ have in common?
A1B0C2D3
11The graph shows the curve $y = x^2$ (red) and the line $y = 4x - 3$ (blue). They meet at two points. Use the graph to write down the coordinates of both points of intersection.
A(1, 1) and (3, 9)Bx = 1 or x = 3C(1, 9) and (3, 1)D(-1, 1) and (-3, 9)
12The graph shows the circle $x^2 + y^2 = 20$ (radius about 4.5) and the line $y = x + 2$.The line meets the circle at two points. Use the graph to find the smaller of the two $x$-coordinates of these points.
A2B-4C-3D4
13The line $y = -4x + k$ is a tangent to the curve $y = x^2 - 4$. Work out the value of $k$.
A-12B0C-8D-4
14Solve the simultaneous equations $$\begin{aligned} y &= x^2 - 9x + 13 \\ y &= -2x + 1 \end{aligned}$$
A(3, -7) and (4, -5)B(-3, -5) and (-4, -7)C(3, -5) and (4, -7)Dx = 3 or x = 4
15Solve the simultaneous equations $$\begin{aligned} x^2 + y^2 &= 17 \\ y &= -x - 5 \end{aligned}$$
Ax = -4 or x = -1B(-4, -4) and (-1, -1)C(4, 1) and (1, 4)D(-4, -1) and (-1, -4)
How confident do you feel on this topic now?RedAmberGreen
Tick one box (A, B, C or D) for each question. 15 questions, 1 mark each.Name: __________ Class: ______
Mark bar · shade a box for each question you got right
123456789101112131415
/ 15
1The graph shows the curve $y = x^2$ (red) and the line $y = -x + 6$ (blue). They meet at two points. Use the graph to write down the coordinates of both points of intersection.
Ax = -3 or x = 2B(-3, 9) and (2, 4)C(3, 9) and (-2, 4)D(-3, 4) and (2, 9)
2How many points do the line $y = -x + 1$ and the curve $y = x^2 + 3$ have in common?
A0B3C2D1
3Solve the simultaneous equations $$\begin{aligned} y &= x^2 \\ y &= x + 2 \end{aligned}$$ Give the smaller of the two $x$-coordinates.
A0B1C-1D2
4The graph shows the curve $y = x^2$ (red) and the line $y = 5x - 6$ (blue). They meet at two points. Use the graph to write down the coordinates of both points of intersection.
A(2, 4) and (3, 9)B(2, 9) and (3, 4)Cx = 2 or x = 3D(-2, 4) and (-3, 9)
5How many points do the line $y = 2x + 2$ and the curve $y = x^2 + 1$ have in common?
A2B3C1D0
6Solve the simultaneous equations $$\begin{aligned} y &= x^2 \\ y &= 6x - 5 \end{aligned}$$ Give the smaller of the two $x$-coordinates.
A6B1C5D-1
7The graph shows the curve $y = x^2$ (red) and the line $y = 3x - 2$ (blue). They meet at two points. Use the graph to write down the coordinates of both points of intersection.
A(-1, 1) and (-2, 4)B(1, 4) and (2, 1)Cx = 1 or x = 2D(1, 1) and (2, 4)
8How many points do the line $y = -3x + 4$ and the curve $y = x^2 + 3$ have in common?
A2B1C3D0
9Solve the simultaneous equations $$\begin{aligned} y &= x^2 \\ y &= 8x - 15 \end{aligned}$$ Give the smaller of the two $x$-coordinates.
A3B-3C5D8
10The graph shows the curve $y = x^2$ (red) and the line $y = -5x - 6$ (blue). They meet at two points. Use the graph to write down the coordinates of both points of intersection.
A(-3, 4) and (-2, 9)Bx = -3 or x = -2C(3, 9) and (2, 4)D(-3, 9) and (-2, 4)
11How many points do the line $y = 3x + 3$ and the curve $y = x^2 + 3$ have in common?
A0B2C1D3
12The line $y = 2x + k$ is a tangent to the curve $y = x^2 - 1$. Work out the value of $k$.
A-3B-2C-1D0
13The graph shows the circle $x^2 + y^2 = 10$ (radius about 3.2) and the line $y = -x - 4$.The line meets the circle at two points. Use the graph to find the smaller of the two $x$-coordinates of these points.
A-1B3C-2D-3
14Solve the simultaneous equations $$\begin{aligned} y &= x^2 - x + 7 \\ y &= 3x + 4 \end{aligned}$$
A(1, 13) and (3, 7)B(1, 7) and (3, 13)C(-1, 7) and (-3, 13)Dx = 1 or x = 3
15Solve the simultaneous equations $$\begin{aligned} x^2 + y^2 &= 25 \\ y &= -2x + 10 \end{aligned}$$
A(3, 4) and (5, 0)Bx = 3 or x = 5C(3, 0) and (5, 4)D(-3, -4) and (-5, 0)
How confident do you feel on this topic now?RedAmberGreen
Tick one box (A, B, C or D) for each question. 15 questions, 1 mark each.Name: __________ Class: ______
Mark bar · shade a box for each question you got right
123456789101112131415
/ 15
1How many points do the line $y = -4x + 1$ and the curve $y = x^2 + 7$ have in common?
A3B1C0D2
2The graph shows the curve $y = x^2$ (red) and the line $y = -4x - 3$ (blue). They meet at two points. Use the graph to write down the coordinates of both points of intersection.
A(-3, 1) and (-1, 9)B(-3, 9) and (-1, 1)C(3, 9) and (1, 1)Dx = -3 or x = -1
3Solve the simultaneous equations $$\begin{aligned} y &= x^2 \\ y &= 2x + 8 \end{aligned}$$ Give the smaller of the two $x$-coordinates.
A-2B4C-1D2
4How many points do the line $y = 3x - 3$ and the curve $y = x^2 - 4$ have in common?
A2B1C0D3
5The graph shows the curve $y = x^2$ (red) and the line $y = x + 2$ (blue). They meet at two points. Use the graph to write down the coordinates of both points of intersection.
A(-1, 1) and (2, 4)Bx = -1 or x = 2C(-1, 4) and (2, 1)D(1, 1) and (-2, 4)
6Solve the simultaneous equations $$\begin{aligned} y &= x^2 \\ y &= 3x + 10 \end{aligned}$$ Give the smaller of the two $x$-coordinates.
A3B5C2D-2
7How many points do the line $y = 4x + 2$ and the curve $y = x^2 + 6$ have in common?
A1B3C0D2
8The graph shows the curve $y = x^2$ (red) and the line $y = -2x + 3$ (blue). They meet at two points. Use the graph to write down the coordinates of both points of intersection.
Ax = -3 or x = 1B(3, 9) and (-1, 1)C(-3, 9) and (1, 1)D(-3, 1) and (1, 9)
9Solve the simultaneous equations $$\begin{aligned} y &= x^2 \\ y &= x + 20 \end{aligned}$$ Give the smaller of the two $x$-coordinates.
A5B1C4D-4
10How many points do the line $y = 2x - 3$ and the curve $y = x^2 + 2$ have in common?
A1B2C0D3
11The graph shows the curve $y = x^2$ (red) and the line $y = 3x - 2$ (blue). They meet at two points. Use the graph to write down the coordinates of both points of intersection.
A(1, 1) and (2, 4)B(-1, 1) and (-2, 4)C(1, 4) and (2, 1)Dx = 1 or x = 2
12The line $y = -4x + k$ is a tangent to the curve $y = x^2 + 2$. Work out the value of $k$.
A6B-6C-2D-4
13The graph shows the circle $x^2 + y^2 = 10$ (radius about 3.2) and the line $y = x - 4$.The line meets the circle at two points. Use the graph to find the smaller of the two $x$-coordinates of these points.
A3B1C-1D2
14Solve the simultaneous equations $$\begin{aligned} y &= x^2 - 5x + 10 \\ y &= 2x - 2 \end{aligned}$$
Ax = 3 or x = 4B(3, 4) and (4, 6)C(-3, 4) and (-4, 6)D(3, 6) and (4, 4)
15Solve the simultaneous equations $$\begin{aligned} x^2 + y^2 &= 10 \\ y &= -x - 4 \end{aligned}$$
Ax = -1 or x = -3B(-1, -1) and (-3, -3)C(-1, -3) and (-3, -1)D(1, 3) and (3, 1)
How confident do you feel on this topic now?RedAmberGreen
Tick one box (A, B, C or D) for each question. 15 questions, 1 mark each.Name: __________ Class: ______
Mark bar · shade a box for each question you got right
123456789101112131415
/ 15
1Solve the simultaneous equations $$\begin{aligned} y &= x^2 \\ y &= -2x + 8 \end{aligned}$$ Give the smaller of the two $x$-coordinates.
A-4B4C2D-2
2How many points do the line $y = -2x - 1$ and the curve $y = x^2 + 4$ have in common?
A0B3C1D2
3The graph shows the curve $y = x^2$ (red) and the line $y = 5x - 6$ (blue). They meet at two points. Use the graph to write down the coordinates of both points of intersection.
A(2, 9) and (3, 4)Bx = 2 or x = 3C(-2, 4) and (-3, 9)D(2, 4) and (3, 9)
4Solve the simultaneous equations $$\begin{aligned} y &= x^2 \\ y &= -9x - 20 \end{aligned}$$ Give the smaller of the two $x$-coordinates.
A5B-4C-5D-9
5How many points do the line $y = x + 1$ and the curve $y = x^2 + 5$ have in common?
A2B3C0D1
6The graph shows the curve $y = x^2$ (red) and the line $y = -4x - 3$ (blue). They meet at two points. Use the graph to write down the coordinates of both points of intersection.
Ax = -3 or x = -1B(-3, 9) and (-1, 1)C(3, 9) and (1, 1)D(-3, 1) and (-1, 9)
7Solve the simultaneous equations $$\begin{aligned} y &= x^2 \\ y &= 3x + 4 \end{aligned}$$ Give the smaller of the two $x$-coordinates.
A1B4C-1D3
8How many points do the line $y = -4x + 4$ and the curve $y = x^2 + 5$ have in common?
A0B3C2D1
9The graph shows the curve $y = x^2$ (red) and the line $y = 3x - 2$ (blue). They meet at two points. Use the graph to write down the coordinates of both points of intersection.
A(-1, 1) and (-2, 4)Bx = 1 or x = 2C(1, 1) and (2, 4)D(1, 4) and (2, 1)
10Solve the simultaneous equations $$\begin{aligned} y &= x^2 \\ y &= -4x + 5 \end{aligned}$$ Give the smaller of the two $x$-coordinates.
A5B-4C1D-5
11How many points do the line $y = 2x + 2$ and the curve $y = x^2$ have in common?
A1B3C0D2
12The graph shows the circle $x^2 + y^2 = 17$ (radius about 4.1) and the line $y = x - 3$.The line meets the circle at two points. Use the graph to find the smaller of the two $x$-coordinates of these points.
A0B-1C4D1
13The line $y = -4x + k$ is a tangent to the curve $y = x^2 - 4$. Work out the value of $k$.
A-12B0C-8D-4
14Solve the simultaneous equations $$\begin{aligned} x^2 + y^2 &= 10 \\ y &= x - 2 \end{aligned}$$
A(-1, -3) and (3, 1)B(1, 3) and (-3, -1)Cx = -1 or x = 3D(-1, 1) and (3, -3)
15Solve the simultaneous equations $$\begin{aligned} y &= x^2 + 6x + 4 \\ y &= x - 2 \end{aligned}$$
A(2, -4) and (3, -5)B(-2, -4) and (-3, -5)C(-2, -5) and (-3, -4)Dx = -2 or x = -3
How confident do you feel on this topic now?RedAmberGreen
Tick one box (A, B, C or D) for each question. 15 questions, 1 mark each.Name: __________ Class: ______
Mark bar · shade a box for each question you got right
123456789101112131415
/ 15
1How many points do the line $y = 3x + 4$ and the curve $y = x^2 + 5$ have in common?
A2B3C0D1
2The graph shows the curve $y = x^2$ (red) and the line $y = -2x + 3$ (blue). They meet at two points. Use the graph to write down the coordinates of both points of intersection.
A(-3, 1) and (1, 9)B(3, 9) and (-1, 1)C(-3, 9) and (1, 1)Dx = -3 or x = 1
3Solve the simultaneous equations $$\begin{aligned} y &= x^2 \\ y &= -6x - 5 \end{aligned}$$ Give the smaller of the two $x$-coordinates.
A-1B-5C-6D5
4How many points do the line $y = x + 1$ and the curve $y = x^2 + 5$ have in common?
A2B1C3D0
5The graph shows the curve $y = x^2$ (red) and the line $y = x + 6$ (blue). They meet at two points. Use the graph to write down the coordinates of both points of intersection.
A(2, 4) and (-3, 9)B(-2, 4) and (3, 9)C(-2, 9) and (3, 4)Dx = -2 or x = 3
6Solve the simultaneous equations $$\begin{aligned} y &= x^2 \\ y &= 7x - 12 \end{aligned}$$ Give the smaller of the two $x$-coordinates.
A7B4C3D-3
7How many points do the line $y = 4x + 3$ and the curve $y = x^2 + 11$ have in common?
A2B1C0D3
8Solve the simultaneous equations $$\begin{aligned} y &= x^2 \\ y &= -x + 2 \end{aligned}$$ Give the smaller of the two $x$-coordinates.
A-2B-1C1D2
9How many points do the line $y = -3x + 1$ and the curve $y = x^2 + 7$ have in common?
A3B1C2D0
10How many points do the line $y = x$ and the curve $y = x^2 + 1$ have in common?
A3B2C0D1
11The graph shows the curve $y = x^2$ (red) and the line $y = 2x + 3$ (blue). They meet at two points. Use the graph to write down the coordinates of both points of intersection.
A(1, 1) and (-3, 9)B(-1, 9) and (3, 1)Cx = -1 or x = 3D(-1, 1) and (3, 9)
12The line $y = 2x + k$ is a tangent to the curve $y = x^2 - 2$. Work out the value of $k$.
A-2B-1C-4D-3
13The graph shows the circle $x^2 + y^2 = 13$ (radius about 3.6) and the line $y = -x - 1$.The line meets the circle at two points. Use the graph to find the smaller of the two $x$-coordinates of these points.
A2B-2C-3D3
14Solve the simultaneous equations $$\begin{aligned} x^2 + y^2 &= 25 \\ y &= -x + 5 \end{aligned}$$
A(5, 0) and (0, 5)B(5, 5) and (0, 0)C(-5, 0) and (0, -5)Dx = 5 or x = 0
15Solve the simultaneous equations $$\begin{aligned} y &= x^2 + 4x - 7 \\ y &= 2x - 4 \end{aligned}$$
A(-3, -2) and (1, -10)Bx = -3 or x = 1C(-3, -10) and (1, -2)D(3, -10) and (-1, -2)
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Tick one box (A, B, C or D) for each question. 15 questions, 1 mark each.Name: __________ Class: ______
Mark bar · shade a box for each question you got right
123456789101112131415
/ 15
1The graph shows the curve $y = x^2$ (red) and the line $y = x + 6$ (blue). They meet at two points. Use the graph to write down the coordinates of both points of intersection.
A(-2, 9) and (3, 4)B(-2, 4) and (3, 9)Cx = -2 or x = 3D(2, 4) and (-3, 9)
2Solve the simultaneous equations $$\begin{aligned} y &= x^2 \\ y &= 7x - 10 \end{aligned}$$ Give the smaller of the two $x$-coordinates.
A2B5C-2D7
3How many points do the line $y = -2x + 2$ and the curve $y = x^2 + 6$ have in common?
A3B1C0D2
4Solve the simultaneous equations $$\begin{aligned} y &= x^2 \\ y &= -4x + 5 \end{aligned}$$ Give the smaller of the two $x$-coordinates.
A1B-5C-4D5
5How many points do the line $y = -3x + 1$ and the curve $y = x^2 + 5$ have in common?
A0B2C1D3
6The graph shows the curve $y = x^2$ (red) and the line $y = 2x + 3$ (blue). They meet at two points. Use the graph to write down the coordinates of both points of intersection.
Ax = -1 or x = 3B(-1, 9) and (3, 1)C(1, 1) and (-3, 9)D(-1, 1) and (3, 9)
7Solve the simultaneous equations $$\begin{aligned} y &= x^2 \\ y &= 2x + 8 \end{aligned}$$ Give the smaller of the two $x$-coordinates.
A-1B-2C4D2
8How many points do the line $y = 2x + 1$ and the curve $y = x^2 - 1$ have in common?
A3B1C0D2
9The graph shows the curve $y = x^2$ (red) and the line $y = -x + 2$ (blue). They meet at two points. Use the graph to write down the coordinates of both points of intersection.
A(-2, 4) and (1, 1)B(-2, 1) and (1, 4)C(2, 4) and (-1, 1)Dx = -2 or x = 1
10Solve the simultaneous equations $$\begin{aligned} y &= x^2 \\ y &= -x + 6 \end{aligned}$$ Give the smaller of the two $x$-coordinates.
A-1B3C-3D2
11How many points do the line $y = -2x$ and the curve $y = x^2 + 4$ have in common?
A0B1C2D3
12The graph shows the circle $x^2 + y^2 = 20$ (radius about 4.5) and the line $y = x - 6$.The line meets the circle at two points. Use the graph to find the smaller of the two $x$-coordinates of these points.
A2B3C-2D4
13The line $y = -6x + k$ is a tangent to the curve $y = x^2 + 4$. Work out the value of $k$.
A-14B-9C-5D13
14Solve the simultaneous equations $$\begin{aligned} y &= x^2 + 8x + 9 \\ y &= 2x + 1 \end{aligned}$$
A(-2, -3) and (-4, -7)B(-2, -7) and (-4, -3)C(2, -3) and (4, -7)Dx = -2 or x = -4
15Solve the simultaneous equations $$\begin{aligned} x^2 + y^2 &= 45 \\ y &= x + 3 \end{aligned}$$
A(6, 3) and (-3, -6)B(-6, -3) and (3, 6)Cx = -6 or x = 3D(-6, 6) and (3, -3)
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Tick one box (A, B, C or D) for each question. 15 questions, 1 mark each.Name: __________ Class: ______
Mark bar · shade a box for each question you got right
123456789101112131415
/ 15
1Solve the simultaneous equations $$\begin{aligned} y &= x^2 \\ y &= 4x - 3 \end{aligned}$$ Give the smaller of the two $x$-coordinates.
A-1B4C1D3
2The graph shows the curve $y = x^2$ (red) and the line $y = -2x + 3$ (blue). They meet at two points. Use the graph to write down the coordinates of both points of intersection.
A(-3, 9) and (1, 1)B(3, 9) and (-1, 1)Cx = -3 or x = 1D(-3, 1) and (1, 9)
3How many points do the line $y = -4x + 3$ and the curve $y = x^2$ have in common?
A1B3C2D0
4Solve the simultaneous equations $$\begin{aligned} y &= x^2 \\ y &= -x + 12 \end{aligned}$$ Give the smaller of the two $x$-coordinates.
A-1B-4C4D3
5The graph shows the curve $y = x^2$ (red) and the line $y = -3x - 2$ (blue). They meet at two points. Use the graph to write down the coordinates of both points of intersection.
A(2, 4) and (1, 1)Bx = -2 or x = -1C(-2, 4) and (-1, 1)D(-2, 1) and (-1, 4)
6How many points do the line $y = 3x$ and the curve $y = x^2 - 3$ have in common?
A3B2C1D0
7Solve the simultaneous equations $$\begin{aligned} y &= x^2 \\ y &= -x + 6 \end{aligned}$$ Give the smaller of the two $x$-coordinates.
A-3B-1C2D3
8The graph shows the curve $y = x^2$ (red) and the line $y = 2x + 3$ (blue). They meet at two points. Use the graph to write down the coordinates of both points of intersection.
A(1, 1) and (-3, 9)Bx = -1 or x = 3C(-1, 1) and (3, 9)D(-1, 9) and (3, 1)
9How many points do the line $y = -4x + 3$ and the curve $y = x^2 + 5$ have in common?
A0B1C3D2
10The graph shows the curve $y = x^2$ (red) and the line $y = 4x - 3$ (blue). They meet at two points. Use the graph to write down the coordinates of both points of intersection.
A(1, 9) and (3, 1)Bx = 1 or x = 3C(1, 1) and (3, 9)D(-1, 1) and (-3, 9)
11How many points do the line $y = 4x$ and the curve $y = x^2 + 2$ have in common?
A2B1C0D3
12The graph shows the circle $x^2 + y^2 = 10$ (radius about 3.2) and the line $y = x + 4$.The line meets the circle at two points. Use the graph to find the smaller of the two $x$-coordinates of these points.
A-1B-2C-3D3
13The line $y = 6x + k$ is a tangent to the curve $y = x^2 - 3$. Work out the value of $k$.
A-21B-9C-12D6
14Solve the simultaneous equations $$\begin{aligned} y &= x^2 - 7x + 8 \\ y &= -2x + 4 \end{aligned}$$
Ax = 4 or x = 1B(4, -4) and (1, 2)C(-4, -4) and (-1, 2)D(4, 2) and (1, -4)
15Solve the simultaneous equations $$\begin{aligned} x^2 + y^2 &= 50 \\ y &= x - 8 \end{aligned}$$
Ax = 7 or x = 1B(-7, 1) and (-1, 7)C(7, -1) and (1, -7)D(7, -7) and (1, -1)
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