Free Printable Gr 8 Review All Topics

1.

What is the vertex of the given parabola?

a)

(1, 2)

b)

x = 2

c)

(2, 1)

d)

(0, -4)

2.

What is the value of ab in the given parabola

f(x) = - 8x² + 10 + 2?

hint: f(x) = ax² + bx + c 😎

a)

- 18

b)

- 16

c)

- 80

d)

20

3.

What are the solutions to the given quadratic equation?

a)

(0, -1), (0, 3)

b)

(1, 4)

c)

x = 1

d)

(- 1, 0), (3, 0)

4.

What is the vertex of the given parabola?

a)

(1, - 4)

b)

(-1, 0), (3, 0)

c)

x = 1

d)

(-4, 1)

5.

Does this parabola have a maximum or minimum and what is it's value?

a)

minimum, -3

b)

minimum, 5

c)

maximum, - 3

d)

maximum, 5

6.

What is the axis of symmetry of the given quadratic graph?

a)

(0, -2)

b)

(- 2, 0)

c)

x = - 2

d)

(0, 2)

7.

What is the value of c ÷ a given the parabola

y = 2x² + 12x + 18?

hint: y = ax² + bx + c

a)

9

b)

36

c)

6

d)

3/2

8.

A parabola has a vertex at (-7, 9), where is the axis of symmetry?

a)

y = 9

b)

x = - 7

c)

y = -7

d)

x = 9

9.

What are the solutions to the parabola?

a)

(5, 0), (2, 0)

b)

(0, -10)

c)

(0, -5), 90, 2)

d)

(- 5, 0), (2, 0)

10.

What is the value of c² given the parabola

f(x) = 3x²+ 12x - 8? 😆

a)

4

b)

64

c)

16

d)

- 64

11.

Quadratic equations take the shape of a _______ when graphed.

a)

parabola

b)

straight line

c)

snaked line

d)

elliptical

12.

Does the following graph have a maximum or minimum.

a)

Maximum

b)

Minimum

13.

Does this parabola have a minimum or maximum and what is its value?

a)

minimum: 2

b)

maximum: 2

c)

minimum: 5

d)

maximum: 5

14.

A parabola has a vertex at (-3,2).

What is the axis of symmetry?

a)

y = -2

b)

x = 3

c)

x = -3

d)

y = 2

15.

Use the picture to find the vertex and axis of symmetry

a)

Vertex (3,8) Axis x = 3

b)

Vertex (3,8) Axis y = 3

c)

Vertex (8,3) Axis x = 3

d)

Vertex (8,3) Axis y = 3

16.

What are the x- intercepts?

a)

x= 0 and x= -4

b)

x= 0 and x= 4

c)

y= 0

d)

x= 2

17.

Use the graph to determine the solutions.

a)

-1 and -3

b)

1 and -3

c)

1 and 3

d)

-1 and 3

18.

How many solutions does this graph have?

a)

one

b)

two

c)

no solutions

d)

cannot be determined

19.

What is another name for the x-intercepts and solutions of a quadratic?

a)

y-intercept

b)

Zeros

c)

x-axis

d)

They don't have another name

20.

What are the coordinates of the y-intercept?

a)

(-3, 0)

b)

(0, -3)

c)

(2, 1)

d)

y=-3

21.

What is the domain and the range for the graph?

a)

Domain : -2 ≤ x ≤ 2
Range : 0 ≤ y ≤ 4

b)

Domain : 0 ≤ x ≤ 4
Range : -2 ≤ y ≤ 2

c)

Domain : All real #s
Range : y ≤ 4

d)

Domain : -2 ≤ x ≤ 2
Range : y ≤ 4

22.

Determine the domain and range of the function

a)

Domain: All real numbers

Range: All real numbers

b)

Domain: x ≥ -4

Range: All real numbers

c)

Domain: All real numbers

Range: y ≥ -4

d)

Domain: -1 ≤ x ≤ 5

Range: y ≥ -4

23.

Standard form of a quadratic equation

a)

y=x²

b)

y=ax²+bx+c

c)

y=mx+b

d)

y=x

24.

The graph of a quadratic function is called a

a)

Parabola

b)

Vertex

c)

Axis of Symmetry

d)

Vertex Form

25.

A parabola is upside-down when a is:

a)

negative

b)

positive

c)

0

d)

infinite

26.

Which best describes the vertex of a parabola?

a)

Any point on the parabola.

b)

A point on the x-axis.

c)

The highest or lowest point of a parabola

d)

A point on the y-axis.

27.

Name the vertex

a)

(1,1)

b)

(0,0)

28.

What is the vertex?

a)

(2, 4)

b)

(3, -1)

c)

(0, 8)

d)

(4, 2)

29.

What is the vertex?

a)

(5,2)

b)

(2,5)

c)

(-2,5)

d)

(-5,2)

30.

Does this graph have a maximum or minimum value?

a)

maximum

b)

minimum

c)

neither

d)

both

31.

Does this parabola have a minimum or maximum and what is its value?

a)

minimum: 2

b)

maximum: 2

c)

minimum: 5

d)

maximum: 5

32.

The axis of symmetry line passes through which point?

a)

y-intercept

b)

any random point

c)

vertex

d)

symmetrical point for the vertex

33.

What is the equation for axis of symmetry?

a)

y = 3

b)

x = 3

c)

x = 5

d)

x = 1

34.

Name the Axis of Symmetry

a)

x = 1

b)

x = 0

35.

Is this a maximum or a minimum?

a)

max

b)

min

c)

cannot be determined

36.

Does this graph have maximum or minimum value?

a)

maximum

b)

minimum

c)

neither

d)

both

37.

What are the x-intercept(s) of this graph?

a)

-1 and -3

b)

-1 and 3

c)

1 and 3

d)

1 and -3

38.

What are the coordinates of the y-intercept?

a)

(-3, 0)

b)

(0, -3)

c)

(2, 1)

d)

y=-3

39.

What are the X-intercept(s) of this graph?

a)

-1 and -3

b)

1 and -3

c)

1 and 3

d)

-1 and 3

40.

What are the coordinates of the y-intercept?

a)

(-3, 0)

b)

(0, -3)

c)

(2, 1)

d)

y=-3

41.

What is the y-intercept of this graph?

a)

-6

b)

-2

c)

3

d)

5

42.

Use the picture to find the vertex and axis of symmetry.

a)

Vertex: (8, 3); axis of symmetry: y=3

b)

Vertex: (8, 3); axis of symmetry: x=3

c)

Vertex: (3, 8); axis of symmetry: y=3

d)

Vertex: (3, 8); axis of symmetry: x=3

43.

Does this parabola have a maximum or minimum?

a)

Maximum

b)

Minimum

44.

What is the green dot on the parabola called?

a)

maximum

b)

minumum

c)

roots

d)

zeros

45.

When the vertex is the highest point it is called ____

a)

tipping point

b)

maximus prime

c)

minimum

d)

maximum

46.

A vertex that represents the LOWEST point on a graph is called _____

a)

maximum

b)

minimum

c)

vertex

d)

home run

47.

What is the vertex?

a)

(2, 4)

b)

(3, -1)

c)

(0, 8)

d)

(4, 2)

48.

What is the vertex of this parabola?

a)

(−1, 3)

b)

(−3, 11)

c)

(−2, 5)

d)

(0, 5)

49.

What are the x- intercepts?

a)

x= 0 and x= -4

b)

x= 0 and x= 4

c)

y= 0

d)

x= 2

50.

What are the x-intercepts (zeros)?

a)

x = -2 and x = 2

b)

x = -1 and x = 1

c)

x = 0

d)

x = 2 and x = -4

51.

What are the green dots called?

a)

axis of symmetry

b)

vertex

c)

parabola

d)

roots or x-intercepts

52.

What is the equation for axis of symmetry?

a)

y=3

b)

x=3

c)

x=5

d)

x=1

53.

A parabola has a vertex at (-3,2).

Where is the axis of symmetry?

a)

y = -2

b)

x = 2

c)

x = -3

d)

y = -3

54.

The axis of symmetry passes through which coordinate?

a)

y coordinate

b)

x coordinate

c)

always goes through the origin

d)

always goes through the x-intecept

55.

What is the vertical line that divides the parabola into two equal parts?

a)

parabola

b)

vertex

c)

axis of symmetry

d)

unicorns

56.

Which of the following could be the graph of $y=\frac{2}{x}$

a)

b)

c)

d)

57.

Which of the following could be the graph of $y=-\frac{2}{x}$

a)

b)

c)

d)

58.

Which of the following could be the graph of $y=\frac{7}{x}$

a)

b)

c)

d)

59.

What is the definition of an ASYMPTOTE?

a)

A curved line.

b)

A line that only touches the origin.

c)

A line that only lives on the first quadrant.

d)

A line that a curve approaches, as it heads towards infinity.

60.

Quadratic equations take the shape of a _______ when graphed.

a)

parabola

b)

straight line

c)

snaked line

d)

elliptical

61.

A parabola has a vertex at (-3,2).

What is the axis of symmetry?

a)

y = -2

b)

x = 3

c)

x = -3

d)

y = 2

62.

Which answer choice describes y = -3x² +7x - 2 accurately

a)

opens up with a maximum

b)

opens up with a minimum

c)

opens down with a maximum

d)

opens down with a minimum

63.

What are the x-intercept(s) of this graph?

a)

-1 and -3

b)

-1 and 3

c)

1 and 3

d)

1 and -3

64.

What are the coordinates of the y-intercept?

a)

(-3, 0)

b)

(0, -3)

c)

(2, 1)

d)

y=-3

65.

What is the equation for axis of symmetry?

a)

y = 3

b)

x = 3

c)

x = 5

d)

x = 1

66.

Use the picture to find the vertex and axis of symmetry.

a)

Vertex: (8, 3); axis of symmetry: y=3

b)

Vertex: (8, 3); axis of symmetry: x=3

c)

Vertex: (3, 8); axis of symmetry: y=3

d)

Vertex: (3, 8); axis of symmetry: x=3

67.

Describe the rule for this sequence

5, 12, 19, 26......

a)

Add five each time

b)

Add seven each time

c)

Subtract seven each time

d)

Add 8 each time

68.

Describe the rule for this sequence

2, 4, 8, 16

a)

add 8 each time

b)

add 4 each time

c)

add 2 each time

d)

Double the previous term

69.

What is the missing term in this sequence

4, ....., 8, 10

a)

5

b)

6

c)

7

d)

8

70.

Fill in the missing term in this sequence

2, 5, ......, 11

a)

5

b)

6

c)

7

d)

8

71.

Find the next term in this sequence

6, 8,12,18.....

a)

20

b)

22

c)

26

d)

24

72.

What is the nth term rule for the following sequence

5, 8, 11, 14.....

a)

3n

b)

3n + 2

c)

3n - 2

d)

5n + 3

73.

What is the nth term rule of this sequence

9, 13, 17, 21....

a)

4n + 5

b)

9n

c)

5n + 4

d)

5n

74.

The nth term of a sequence is 4n + 1.

What are the first 4 terms of the sequence

a)

4, 8, 12, 16

b)

5, 9, 13, 17

c)

5, 6, 7, 8

d)

4, 5, 6, 7

75.

The nth term of a sequence is 3n + 5.

What are the first 4 terms of the sequence

a)

8, 11, 14, 17

b)

8, 13, 18, 23

c)

3, 6, 9, 12

d)

5, 10, 15, 20

76.

The nth term of a sequence is 2n - 1.

What are the first 4 terms of the sequence

a)

2, 4, 6, 8

b)

1, 2, 3, 4

c)

1, 3, 5, 7

d)

2, 5, 7, 9

77.

What is a sequence?

a)

An order of the same numbers.

b)

A list of numbers in a specific order.

c)

A list of numbers always decreased.

d)

An order of numbers with no relation.

78.

How is an arithmetic sequence found?

a)

By multiplying the same number to the previous term.

b)

By adding the same number to the previous term.

79.

How is an geometric sequence found?

a)

By adding the same number to the previous term.

b)

By multiplying the previous term by the same number.

80.

What is a term?

a)

Each number in the sequence.

b)

Each variable in the sequence.

c)

Each number or variable in the sequence.

81.

Describe the relationship between the terms in the arithmetic sequence
4, 8, 12, 16

a)

Subtracting 4 to the previous term

b)

Adding 4 to the previous term

c)

Multiplying by 2 to the previous term

d)

Dividing each term by 2

82.

Describe the relationship between the terms in the arithmetic sequence
15, 30, 45, 60

a)

Adding 15 to the previous term

b)

Subtracting 15 to the previous term

c)

Multiplying each term by 3

d)

Dividing the previous term by 2

83.

Describe the relationship between the terms in the arithmetic sequence
15, 12, 9, 6

a)

Adding 3 to the previous term

b)

Subtracting 3 to the previous term

c)

Dividing the previous term by 3

d)

Multiplying the previous term by 3

84.

Describe the relationship between the terms in the geometric sequence
2, 4, 8, 16

a)

Multiplying the previous term by 2.

b)

Adding by 2 to the previous term.

c)

Subtracting the previous term by 4

d)

Multiplying the previous term by 4

85.

Describe the relationship between the terms in the geometric sequence
3, 9, 27, 81

a)

Multiplying the previous term by 2

b)

Multiplying the previous term by 3

c)

Dividing the previous term by 3

d)

Adding 3 to the previous term

86.

Describe the relationship between the terms in the geometric sequence
4, 16, 64, 256

a)

Adding 12 to the previous term.

b)

Multiplying the previous term by 3

c)

Multiplying the previous term by 4

d)

Multiplying the previous term by 6

87.

What 3 terms come next in the sequence?
4, 8, 12, 16

a)

20, 24, 28

b)

12, 8, 4

c)

24, 28, 20

d)

20, 22, 24

88.

What 3 terms come next in the sequence?
2, 4, 8, 16

a)

32, 64, 128

b)

18, 20, 22

c)

24, 28, 32

d)

32, 60, 120

89.

What 2 terms come next in the sequence?
15, 12, 9, 6

a)

6. 3, 0

b)

3, 6

c)

6, 3

d)

3, 0

90.

What 3 terms come next in the sequence?
144, 72, 36

a)

36, 18, 9

b)

18, 16, 9

c)

18, 9, 4.5

d)

4.5, 9, 16

91.

Calculate the gradient of the line drawn below.

a)

Gradient=3

b)

Gradient=2

c)

Gradient=-2

d)

Gradient=-3

92.

Find the gradient of the line that passes through (3,4) and (2,2).

a)

Gradient=-2

b)

Gradient=4

c)

Gradient=2

d)

Gradient=3

93.

Find the gradient .

a)

Gradient=3

b)

Gradient=-3

c)

Gradient=9

d)

Gradient=7

94.

Find the gradient of the line passing through the points (3,-5) and (7,11).

a)

Gradient=3

b)

Gradient=7

c)

Gradient=16

d)

Gradient=4

95.

Find the equation of the line drawn below.

a)

x=1

b)

y=1

c)

y=x

d)

y=x+1

96.

Which of the following is the graph of the equation y=2x-5.

a)

b)

c)

d)

97.

Find the gradient of the line below.

a)

Gradient=1

b)

Gradient=-1

c)

Gradient=4

d)

Gradient=-4

98.

Find the type of the gradient in this graph.

a)

Negative

b)

Positive

c)

Zero

d)

No gradient

99.

Find the gradient of the line that passes through the points (2,-2) and (4,8).

a)

Gradient=5

b)

Gradient=4

c)

Graduent=10

d)

Gradient=2

100.

Find type of the graph.

a)

Positive

b)

Negative

c)

Zero

d)

No gradient

101.

What is the gradient of y = 3x+2

a)

3

b)

-3

c)

2

d)

-2

102.

What is the y-intercept of y = 2x + 1

a)

2

b)

-2

c)

1

d)

-1

103.

What is the gradient of y = 4x + 2

a)

4

b)

-4

c)

2

d)

-2

104.

What is the y-intercept of y = 2x - 5

a)

2

b)

-2

c)

5

d)

-5

105.

What is the gradient of y = -2x + 3

a)

2

b)

-2

c)

3

d)

-3

106.

What is the y-intercept of y = 2x?

a)

2

b)

-2

c)

0

d)

This equation does not cross the y-axis

107.

What is the gradient of y = 3 - 2x

a)

3

b)

-3

c)

2

d)

-2

108.

What is the y-intercept in y = 2 - 4x

a)

2

b)

-2

c)

4

d)

-4

109.

What is the gradient of y = 5 + 3x

a)

5

b)

-5

c)

3

d)

-3

110.

What is the y-intercept in y = -5 - 2x

a)

2

b)

-2

c)

5

d)

-5

111.

What is the gradient of $y\ =\ \frac{1}{2}x+2$ ?

a)

$\frac{1}{2}$

b)

$-\frac{1}{2}$

c)

2

d)

-2

112.

What is the y-intercept of $y\ =\ \frac{3}{2}x\ -\ 5$

a)

$\frac{3}{2}$

b)

$-\frac{3}{2}$

c)

5

d)

-5

113.

What is the gradient of $y=x+\frac{1}{2}$

a)

0

b)

1

c)

$\frac{1}{2}$

d)

$-\frac{1}{2}$

114.

What is the y-intercept of $y=\frac{5}{4}x-\frac{2}{3}$

a)

$\frac{5}{4}$

b)

$-\frac{5}{4}$

c)

$\frac{2}{3}$

d)

$-\frac{2}{3}$

115.

What is the correct equation in
Slope-Intercept Form?
(y = mx +b)

a)

y = x + 2

b)

y = 2x - 1

c)

y = -x + 2

d)

y = -2x - 1

116.

What is the correct equation in
Slope-Intercept Form?
(y = mx +b)

a)

y = 1/3x - 1

b)

y = 1/4x -1

c)

y = -1/3x +1

d)

y = -1/4x + 1

117.

What is the correct equation in
Slope-Intercept Form?
(y = mx +b)

a)

y = x

b)

y = x + 1

c)

y = -x

d)

y = -x + 1

118.

What is the correct equation in
Slope-Intercept Form?
(y = mx +b)

a)

y = 4/3x - 4

b)

y = -4/3x + 3

c)

y = 4/3x + 4

d)

y = -4/3x +3

119.

What is the correct equation in
Slope-Intercept Form?
(y = mx +b)

a)

y = 3x - 3

b)

y = 3x - 1

c)

y = -3x - 3

d)

y = -3x - 1

120.

What is the correct equation in
Slope-Intercept Form?
(y = mx +b)

a)

x = 4

b)

y = 4

121.

What is the correct equation in
Slope-Intercept Form?
(y = mx +b)

a)

y = -3x - 2

b)

y = -2x - 2

c)

y = 2x - 2

d)

y = 3x - 2

122.

What is the correct equation?

a)

x = 5

b)

y = 5

c)

x = - 5

d)

y = -5

123.

What is the correct equation in
Slope-Intercept Form?
(y = mx +b)

a)

y = 3/5x + 1

b)

y = 5/3x + 1

c)

y = 3/5x

d)

y = 5/3x

124.

What is the correct equation in
Slope-Intercept Form?
(y = mx +b)

a)

y = -1/3x + 3

b)

y = 1/3x - 3

c)

y = -1/3x - 3

d)

y = 1/3x + 3

125.

Solve the simultaneous equations

x+y=5

x-y=1

a)

x=2, y=3

b)

x=3, y=2

c)

x=3, y=-2

d)

x=-3, y=2

126.

Solve the simultaneous equations

a+b=11

a-b=3

a)

a=7, b = 4

b)

a=-4, b= 7

c)

a=4, b = 7

d)

a=4, b= -7

127.

Solve the Simultaneous Equations: a+b= 3; a-b= -7

a)

a=-2, b = 5

b)

a=2, b = -5

c)

a=2, b = 5

d)

a=-2, b = -5

128.

What is the solution?

a)

No solution

b)

(0, 2)

c)

(0, -4)

d)

(3, -3)

129.

Where do these two lines intersect?

a)

No solution

b)

(-2, 3)

c)

(3, -2)

d)

(2, 3)

130.

What is the solution?

a)

(6, 3)

b)

(3, 6)

c)

(-6, 3)

d)

No solution

131.

Solve the system of equations using substitution:

-4x + 4y = 8

y = -2x - 10

a)

(-4, -2)

b)

(12, -34)

c)

(4, -18)

d)

(-2, -6)

132.

Solve the system of equations using substitution:

y = 2x + 5

2x + 2y = 4

a)

(1, 7)

b)

(7, 1)

c)

(2, 9)

d)

(-1, 3)

133.

What is the solution to the system?

8x + 4y = 12

y = -2x + 3

a)

(0,3)

b)

(3,0)

c)

No solution(parallel lines)

d)

Infinitely many solutions

134.

Solve:

3x - y = 11

x + y = 5

a)

x = 4

y = 1

b)

x = 4

y = -1

c)

x = -4

y = 1

d)

x = -4

y = -1

135.

Solve:

3x + 5y = 4

4x - 5y = -18

a)

x = -2

y = 2

b)

x = -2

y = -2

c)

x = 2

y = -2

d)

x = 2

y = 2

136.

Solve:

3x + 2y = 15

7x + 2y = 19

a)

x = 1, y = -6

b)

x = -1, y = 6

c)

x = -1, y = -6

d)

x = 1, y = 6

137.

Solve:

x + y = 5

x - y = 1

a)

x = 2, y = 3

b)

x = 3, y = 2

c)

x = 3, y = -2

d)

x = -3, y = 2

138.

Solve:

2x + 5y = 29

x + 5y = 22

a)

x = -7, y = -3

b)

x = -7, y = 3

c)

x = 7, y = 3

d)

x = 7, y = -3

139.

Solve:

3x - 4y = 26

2x - 4y = 20

a)

x = -6, y = -2

b)

x = 6, y = -2

c)

x = 6, y = 2

d)

x = -6, y = 2

140.

Solve:

4x - y = 17

7x - y = 32

a)

x = 5, y = -3

b)

x = -5, y = -3

c)

x = -5, y = 3

d)

x = 5, y = 3

141.

Solve:

3x + 5y = 4

4x - 5y = -18

a)

x = -2, y = 2

b)

x = 2, y = 2

c)

x = -2, y = -2

d)

x = 2, y = -2

142.

Solve:

2x + 3y = 5

x + 3y = 7

a)

x = 2, y = 3

b)

x = -2, y = -3

c)

x = -2, y = 3

d)

x = 2, y = -3

143.

Solve:

3x - y = 11

x + y = 5

a)

x = -4, y = -1

b)

x = 4, y = -1

c)

x = -4, y = 1

d)

x = 4, y = 1

144.

Solve:

5x + y = 9

10x − 7y = −18

a)

x = 1, y = 4

b)

x = -1 y = -4

c)

x = -1, y = 4

d)

x = 1, y = -4

145.

Solve:

−4x − 2y = 14

−10x + 7y = −25

a)

x = -1, y = -5

b)

x = -1, y = 5

c)

x = 1, y = -5

d)

x = 1, y = 5

Gr 8 Review All Topics

Total questions: 145

Worksheet time: 4hrs 44mins

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