Worksheets0.3 MCR3U GRADE 10 REVIEW
Total questions: 20
Worksheet time: 24mins
Name
Class
Date
1.
A parabola has the equation y = 2(x - 5)2 + 3. What are the coordinates of the vertex?
a)
(5,3)
b)
(-5,3)
c)
(2,5)
d)
(2,3)
2.
Which of the following linear equations is equivalent to x + y = 3?
a)
3x - 9 = 3y
b)
-2x + 6 = 2y
c)
-x - y = 3
d)
y + 3 = -x
3.
Line segment AB has endpoints A(-1,2) and B(-5,0). What are the coordinates of the midpoint of AB?
a)
(-2,1)
b)
(2,1)
c)
(-3,1)
d)
(-6,2)
4.
The graph of y = x2 is translated 3 units to the right. What is the equation of the new graph?
a)
y = (x + 3)2
b)
y = 3x2
c)
y = (x - 3)2
d)
y = x2 + 3
5.
The graph of y = x2 is vertically stretched by a factor of 4. What is the equation of the new graph?
a)
y = 4x2
b)
y = 1/4x2
c)
y = x2 + 4
d)
y = (x + 4)2
6.
Evaluate 30 - 32 + 3-1.
a)
-3
b)
-5
c)
-2/3
d)
-23/3
7.
Factor 2x2 - 6x fully.
a)
2x2 - 6x
b)
2(x2 - 3x)
c)
2x(x - 3)
d)
x(2x - 6)
8.
Factor x2 - 3x + 4 fully.
a)
(x - 1)(x + 4)
b)
(x + 1)(x - 4)
c)
(x - 2)(x - 2)
d)
cannot be factored
9.
A parabola has the equation y = x2 + 4x - 1. What are the coordinates of the vertex?
a)
(4,-1)
b)
(2,-5)
c)
(-2,-5)
d)
(-1,4)
10.
What is the solution for the following linear system: 3x - 2y = -7 and x + y = 6?
a)
x = 5, y = -1
b)
x = -2, y = 8
c)
x = 0, y = 6
d)
x = 1, y = 5
11.
Find the equation of the circle that is centred at the origin and passes through the point (0,-2). HINT: x2 + y2 = r2
a)
x2 + y2 = 2
b)
x + y = 2
c)
x2 + y2 = -4
d)
x2 + y2 = 4
12.
A right-angled triangle has a hypotenuse of 10 cm and a side length of 3 cm. What is the length of the last side?
a)
10.4 cm
b)
9.5 cm
c)
5.1 cm
d)
6.7 cm
13.
Use the quadratic formula to solve the equation 2x2 + 3x - 7 = 0. HINT:x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}
a)
2.77, -1.27
b)
2.53, -5.53
c)
1.27, -2.77
d)
there are no real solutions
14.
What is the radius of the circle represented by the the following equation: x2 + y2 = 16?
a)
16
b)
48
c)
4
d)
this is not an equation of a circle
15.
Factor 4x(x - 2) + 8y(x - 2) fully.
a)
(x - 2)(4x + 8y)
b)
4(x - 2)(x + 2y)
c)
4x(x - 2)(8y)
d)
cannot be factored
16.
The equation y = 2(x - 3)2 + 5 is a parabola that has been...
a)
horizontally stretched / vertically compressed by a factor of 2
b)
translated 3 units to the left
c)
translated 5 units down
d)
none of the above
17.
Solve x2 + 4x - 12 = 0.
a)
x = 1, - 12
b)
x = -6, 2
c)
x = -2, 6
d)
x = 4, -3
18.
If D(-2,0) and E(4,5), calculate the length of DE. HINT:d=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}
a)
5.4
b)
2.6
c)
7.8
d)
9.8
19.
Determine the value of c that makes the expression x2 - 6x + c a perfect square.
a)
9
b)
36
c)
6
d)
16
20.
Which of the following statements about the parabola y = -3(x + 2)2 + 9 is false?
a)
it has been reflected along the y-axis
b)
it has been translated 2 units to the left
c)
it has been translated 9 units up
d)
it has been vertically stretched by a factor of 3
100 %
