Free Printable Grade 10 revision

1.

Function or relation?

a)

Function

b)

Relation

2.

What is the DOMAIN of this graph?

a)

-4 ≤ x ≤ 3

b)

-1 ≤ x ≤ 4

c)

4 < x < 3

d)

-1 < x < 4

3.

What is the Domain?

a)

y ≥ 6

b)

-10 ≤ y ≤ 6

c)

-10 ≤ x ≤ 6

d)

All real numbers

4.

f(x) = -x + 2; Evaluate g(-5)

a)

g(-5) = 7

b)

g(-5) = -3

c)

g(-5) = 0

d)

g(-5) = 3

5.

Evaluate r(3)

a)

r(3) = 16

b)

r(3) = 12

c)

r(3) = 13

d)

r(3) = 0

6.

a)

One-to-One Function

b)

Not One-to-One Function

7.

a)

One-to-One Function

b)

Not One-to-One Function

8.

To determine if a function is a one-to-one function by looking at it's graph,

it must passed the vertical and horizontal line test

a)

False

b)

True

9.

The relation in the graph is..

a)

a function but not a one-to-one function.

b)

a one-to-one function.

c)

not a function

10.

a)

One-to-One Function

b)

Not One-to-One Function

11.

The relation in the graph is..

a)

a function but not a one-to-one function.

b)

a one-to-one function.

c)

not a function

12.

Which of the following relations is a one-to-one function?

a)

{(0,2), (0,4), (0,5), (0,6)}

b)

{(1,3), (4,3), (8,3), (3,1)}

c)

{(5,-1), (6,3), (1,2), (7,-8)}

d)

{(1,2), (3,4), (-1,-2), (1,5)}

13.

It a test to check if a function is one-to-one.

a)

Horizontal Line test

b)

Vertical Line test

c)

None of these

14.

Which of the following relations is a one-to-one function?

a)

(a)

b)

(b)

c)

(c)

d)

None of these

15.

Given the set of points

(-4,-3) (-1,0) (3,5) (7,-3) (10,-7)

What is the range?

a)

-4,-1,3,7,10

b)

-4,-3,-1,0,3,5,7,

-3,10,-7

c)

-3,0,5,-7

d)

-3,0,7,-3,10,-7

16.

$f\left(x\right)\ =\frac{3+x}{4}$

Evaluate f(-2)

a)

$\frac{1}{4}$

b)

1

c)

$-\frac{5}{4}$

d)

4

17.

Select all Linear Functions

a)

$y=\frac{1}{2}x-3$

b)

$y=3$

c)

$y=4x^2-4$

d)

$y=-\frac{3}{x}-2$

18.

What is the rate of change between (-2,-5) and (3,4) ?

a)

1

b)

$-\frac{9}{5}$

c)

-1

d)

$\frac{9}{5}$

19.

a)

Linear

b)

Nonlinear

c)

Neither

20.

Is the following linear or nonlinear?

y = x³ + 15

a)

Linear

b)

Nonlinear

c)

Neither

21.

Which value(s) are the x-intercept(s)?

a)

(-3 , 0)

b)

(0 , -15)

c)

(1 , -16)

d)

(5 , 0)

22.

What is/are the x-intercept(s)?

a)

(3 , 0)

b)

(0 , 3)

c)

(6 , 0)

d)

(0 , 6)

23.

What is/are the y-intercept(s)?

a)

(3 , 0)

b)

(0 , 3)

c)

(6 , 0)

d)

(0 , 6)

24.

What kind of symmetry does the graph have, and is it even, odd, or neither?

a)

point symmetry/odd

b)

point symmetry/even

c)

line symmetry/odd

d)

line symmetry/even

e)

no symmetry/neither ever nor odd

25.

a)

Linear

b)

Nonlinear

c)

Neither

26.

Which graph is linear?

a)

Graph A

b)

Graph B

c)

Graph C

d)

Graph D

27.

Is the function Linear or Nonlinear?

a)

Linear

b)

Nonlinear

28.

Is the function linear or nonlinear?
y = x² + 7

a)

Linear

b)

Nonlinear

29.

Is the following linear or nonlinear?

y = x³ + 15

a)

Linear

b)

Nonlinear

c)

Neither

30.

Which value(s) are the x-intercept(s)?

a)

(-3 , 0)

b)

(0 , -15)

c)

(1 , -16)

d)

(5 , 0)

31.

Which value is the y-intercept?

a)

(-3 , 0)

b)

(0 , -15)

c)

(1 , -16)

d)

(5 , 0)

32.

What is/are the x-intercept(s)?

a)

(3 , 0)

b)

(0 , 3)

c)

(6 , 0)

d)

(0 , 6)

33.

What is/are the y-intercept(s)?

a)

(3 , 0)

b)

(0 , 3)

c)

(6 , 0)

d)

(0 , 6)

34.

What kind of symmetry does the graph have, and is it even, odd, or neither?

a)

point symmetry/odd

b)

point symmetry/even

c)

line symmetry/odd

d)

line symmetry/even

e)

no symmetry/neither ever nor odd

35.

What kind of symmetry does the graph have, and is it even, odd, or neither?

a)

point symmetry/odd

b)

point symmetry/even

c)

line symmetry/odd

d)

line symmetry/even

e)

no symmetry/neither even nor odd

36.

Even, odd, or neither?

a)

Even

b)

Odd

c)

Neither

37.

The function shown in the graph is:

a)

even

b)

odd

c)

neither odd nor even

d)

both odd and even

38.

Which one of the following functions is even?

a)

f(x) = x⁴ + x³

b)

g(x) = x⁴ + x²

c)

h(x) = x⁵ + x³

d)

k(x) = x³ + x

39.

Which one of the following functions is odd?

a)

f(x) = 3x⁴ - 4x³

b)

g(x) = 5x⁴ + 3x²

c)

h(x) = 6x⁵ - x³

d)

k(x) = x⁶ + 8x²

40.

Is the function Linear or Nonlinear?

a)

Linear

b)

Nonlinear

41.

Is the function linear or nonlinear?
y = x² + 7

a)

Linear

b)

Nonlinear

42.

What kind of symmetry does the graph have, and is it even, odd, or neither?

a)

point symmetry/odd

b)

point symmetry/even

c)

line symmetry/odd

d)

line symmetry/even

e)

no symmetry/neither ever nor odd

43.

Which graphs shows the equation $Y=\ -\frac{2}{3}x+5$

a)

b)

c)

d)

44.

What are the coordinates for the x-intercept of this graph?

a)

(0,2)

b)

(2,0)

c)

(-3,0)

d)

(0,-3)

45.

Given the list of ordered pairs, what is the x-intercept?
(8,10), (3, -4), (0, 8), (4, -3), (9, 0)

a)

(8,10)

b)

8, 3, 0, 4, 9

c)

(0,8)

d)

(9,0)

46.

Find the x and y intercepts
4x - 5y = 40

a)

x intercept is (10,0) y intercept is (0,8)

b)

x intercept is (10,0) y intercept is (0,20)

c)

x intercept is (8,0) y intercept is (0,10)

d)

x intercept is (10,0) y intercept is (0,-8)

47.

What is the x- intercept of the graph of 3x+4y=24

a)

(12,0)

b)

(8,0)

c)

(0,12)

d)

(0,8)

48.

What is the x- and y-intercepts for the following equation ? 4x - 10y = 20

a)

x - int = (4,0)

y-int = (0,-10)

b)

x-int = (5,0)

y-int = (0,2)

c)

x - int = (5,0)

y int = (0,-2)

d)

x -int = (4,0)

y -int = (0,-10)

49.

What is the x- and y-intercepts for the following equation ? 4x - 10y = 20

a)

x - int = (4,0)

y-int = (0,-10)

b)

x-int = (5,0)

y-int = (0,2)

c)

x - int = (5,0)

y int = (0,-2)

d)

x -int = (4,0)

y -int = (0,-10)

50.

What is the slope intercept form of the equation
4x - 8y = 72

a)

y = -4x + 72

b)

y = -4x - 9

c)

y = 1/2x - 9

d)

y = 4x + 9

51.

The graph of a linear function is shown on the grid.

Which equation is best represented by this graph?

a)

a $y=-\frac{7}{4}x+4$

b)

$y=-\frac{7}{4}x+7$

c)

$y=-\frac{4}{7}x+4$

d)

$y=-\frac{4}{7}x+7$

52.

x + 2y = 10

a)

y = -2x + 5

b)

y = -1/2x + 5

c)

y = -1/2x - 5

d)

2y = -x + 10

53.

Solve for y:
2x + 2y = 6

a)

y = - x + 3

b)

y = x + 3

c)

y = 2x +6

d)

y = - 2x + 6

54.

Find the x and y intercepts for the equation:

$4x-5y=40$

a)

x-intercept is 10
y-intercept is 8

b)

x-intercept is 10
y-intercept is 20

c)

x-intercept is 8
y-intercept is 10

d)

x-intercept is 10
y-intercept is -8

55.

Find the x and y intercepts for the equation:

$4x-5y=40$

a)

x-intercept is 10
y-intercept is 8

b)

x-intercept is 10
y-intercept is 20

c)

x-intercept is 8
y-intercept is 10

d)

x-intercept is 10
y-intercept is -8

56.

Which graphs have a line of symmetry? Check all of the boxes that apply.

a)

b)

c)

57.

Is the graph an even, odd, or neither function

a)

Even

b)

Odd

c)

Neither

58.

The function shown in the graph is:

a)

even

b)

odd

c)

neither even nor odd

d)

both even and odd

59.

Even, odd, or neither?

a)

Even

b)

Odd

c)

Neither

60.

What is the location of the absolute maximum for the graphed function?

a)

x = 1

b)

x = 3

c)

x = 4

d)

x = 5

e)

Does Not Exist

61.

How many extrema (max and mins) are in the picture?

a)

2

b)

3

c)

4

d)

5

62.

Minimum or maximum?

a)

Minimum

b)

Maximum

63.

What is the End behavior on the left side

a)

x →-∞, y→∞

b)

x →∞, y→-∞

c)

x →-∞, y→-∞

d)

x →∞, y→∞

64.

What is the End behavior on the left side

a)

x →-∞, y→∞

b)

x →∞, y→-∞

c)

x →-∞, y→-∞

d)

x →∞, y→∞

65.

What is the end behavior on the left side

a)

x →∞, y→∞

b)

x →-∞, y→-∞

c)

x →-∞, y→∞

d)

x →∞, y→∞

66.

What is the End behavior on the right side

a)

x→∞, y→∞

b)

x→⁻∞, y→∞

c)

x→⁻∞, y→0

d)

x→∞, y→⁻∞

67.

What is the end behavior as x → -∞ f(x)→ ?

a)

-∞

b)

∞

68.

In the above graph complete the following end behavior: (f(x)=y)
As x --> -∞, f(x) --> ____
As x --> +∞, f(x) --> ____

a)

-∞
-∞

b)

+∞
-∞

c)

-∞
+∞

d)

+∞
+∞

69.

In the above graph complete the following end behavior:
As x --> -∞, f(x) --> ____
As x --> +∞, f(x) --> ____

a)

-∞
-∞

b)

+∞
-∞

c)

-∞
+∞

d)

+∞
+∞

70.

Describe the end behavior of the graph.

a)

x → ∞, y→ ∞ and x→∞, y→⁻∞

b)

x → ∞, y→ ∞ and x→⁻∞, y→∞

c)

x → ∞, y→ ∞ and x→⁻∞, y→ 0

d)

x → ∞,y→ ∞and x→ ⁻∞, y→ ⁻∞

71.

Describe the end behavior of the graph.

a)

x →∞, y→⁻∞ and x →⁻∞,y→⁻∞

b)

x →∞, y→∞ and x→⁻∞, y→∞

c)

x →∞, y→∞ and x→⁻∞, y→0

d)

x →∞,y→∞ and x→⁻∞, y→⁻∞

72.

Choose all intervals where the graph is INCREASING (Choose all that apply)

a)

(-∞ , 1)

b)

(1 , 3)

c)

(3 , ∞)

73.

Choose all intervals where the graph is DECREASING (Choose all that apply)

a)

(-∞ , 1)

b)

(1 , 3)

c)

(3 , ∞)

74.

Where is the function decreasing?

a)

(-∞, -1)

b)

(-1, ∞)

c)

(-∞, 3)

d)

(-∞, ∞)

75.

When is this function increasing?

a)

(-3, 3)

b)

(-2.5, 2.5)

c)

[-3, 3]

d)

(3, ∞)

76.

What is the decreasing interval on the function shown?

a)

$\left(-\infty,\ -3\right)$

b)

$\left(-\infty,\ -4\right)$

c)

$\left(-4,\ \infty\right)$

d)

$\left(-3,\ \infty\right)$

77.

What is the range of the graph?

a)

[1, ∞)

b)

(1, ∞)

c)

(-∞, ∞)

d)

none of these

78.

What is the range of the graph?

a)

(-∞,∞)

b)

[0,∞)

c)

(0,5)

d)

[-1,∞)

79.

What is a y-intercept?

a)

The value of y when x is zero

b)

The value of x when y is zero

c)

Slope

d)

where a line intersects the x-axis

80.

What is the slope of the line?

a)

Positive

b)

Negative

c)

Zero

d)

Undefined

81.

Select the linear functions that are increasing. Select TWO

a)

b)

c)

d)

e)

82.

Identify the x-intercept of the following linear equation

-8x - 4y = 8

a)

(-1, 0)

b)

(0, -1)

c)

(-2, 0)

d)

(0, -2)

83.

Identify the y-intercept of the following linear equation.

9x + 3y = -18

a)

(0, -6)

b)

(-6, 0)

c)

(-2, 0)

d)

(0, -2)

84.

Identify the x-intercept of the following linear equation.

-3x + 2y = - 24

a)

(8, 0)

b)

(0, 8)

c)

(0, -12)

d)

(-12, 0)

85.

What are the x and y intercepts for the equation: 2x - y = 6?

a)

(0, 3) and (-6, 0)

b)

(0, -3) and (-6, 0)

c)

(3, 0) and (0, -6)

d)

(-3, 0) and (0, -6)

86.

What are the x- and y -intercepts on this graph?

a)

(0,5), (0,5)

b)

(5,0), (5,0)

c)

(5,0), (0,5)

d)

(0,0), (5,0)

87.

What is the x-intercept shown on the graph?

a)

(2, 0)

b)

(-2, 0)

c)

(0, 3)

d)

(3, 0)

88.

Which equation represents the following graph?

a)

y = 3x + 2

b)

y = -2x + 3

c)

y = 2x + 3

d)

y = -3x + 2

89.

Find the slope

a)

-5/3

b)

-3/5

c)

5/3

d)

3/5

90.

Which is the graph of y=-x+2?

a)

A

b)

B

c)

C

d)

D

91.

Find the slope between the two given points: (-2,1) and (5,7)

a)

7/6

b)

2

c)

6/7

d)

-2

92.

Write the equation of the line.

a)

y=(3/5)x+1

b)

y=(3/5)x-1

c)

y=(5/3)x+1

d)

y=(3/5)x+1

93.

Write down the equation of this line.

a)

y= 2x+1

b)

y= −2x+1

c)

y= 2x−½

d)

None of the above

94.

What is the equation of this line in the form of y=mx+b.

(a)

95.

Which equation best represents the line on the graph?

a)

y= 1/2x

b)

y= -1/2x

c)

y = 2x

d)

y = -2x

96.

Which equation matches the graph?

a)

y = 2x

b)

y = 1/4 x + 2

c)

y = 1x + 4

d)

y = -2x

97.

Write the equation of the line.

a)

y= -1x-3

b)

y= -3x-1

c)

y=(-1/3)x-1

d)

y= -3x-3

98.

Which is the graph of y= -x + 2?

a)

A

b)

B

c)

C

d)

D

99.

Describe the slope of the line.

a)

negative slope

b)

0 slope

c)

positive slope

d)

undefined slope

100.

Which graph represents 2x + 4y = 12? Convert into y=mx+b

a)

b)

c)

d)

101.

Select the correct graph for each inequality.

a)

A

b)

B

c)

C

d)

_D

102.

Select the graph for y ≥ -3.

a)

A

b)

B

c)

C

d)

D

103.

Which of the graphs represents the linear inequality $y>\frac{1}{2}x+3$ ?

a)

b)

c)

d)

104.

Which of the graphs represents the linear inequality $y\le-x-4$ ?

a)

b)

c)

d)

105.

Which inequality represents the graph?

a)

x ≤ -2

b)

x + 2y ≤ 6

c)

y ≤ -2x

d)

y < -2

106.

Describe the transformation from the parent quadratic function:

$y=\left(x-2\right)^2$

a)

Shift up 2 units

b)

Shift down 2 units

c)

Shift right 2 units

d)

Shift left 2 units

107.

Describe the transformation from the parent cubic function:

$y=\left(x+6\right)^3-4$

* Select TWO answers *

a)

Translation 6 units right

b)

Translation 6 units left

c)

Translation 4 units up

d)

Translation 4 units down

108.

What is the equation of this graph?

a)

f(x) = 2(x + 2)² - 3

b)

f(x) = 2(x - 2)² - 3

c)

f(x) =2|x + 2| - 3

d)

f(x) = 2|x - 2| - 3

109.

Describe the transformation of y = f(x) for the new function
y = f(x) - 5

a)

The graph of y = f(x) was shifted to the right 5 units.

b)

The graph of y = f(x) was shifted to the left 5 units.

c)

The graph of y = f(x) was shifted up 5 units.

d)

The graph of y = f(x) was shifted down 5 units.

110.

Solve:
3(x - 2) = 18

a)

6.7

b)

4

c)

8

d)

-4

111.

Solve: 10x + 9 = 4x - 9

a)

3

b)

0

c)

-18

d)

-3

112.

Solve for x:
4(1-x) + 3x = -2(x+1)

a)

x = -6

b)

x = 6

c)

x = 3

113.

Solve:
2(4x-3) - 8 = 4 + 2x

a)

x = 5/3

b)

x = 3

c)

x = 1

d)

x = 2

114.

Solve:
5y + 34 = -2(-7y+1)

a)

y = -4

b)

y = 9

c)

y = 4

d)

y = 36/19

115.

What is the first step you should take to solve this problem?

1 + 4n - 6n = 1 - 8n

a)

subtract 8n to both sides

b)

multiply 6n to both sides

c)

combine the like terms 4n + -6n

d)

add 1 to both sides

116.

$-76-10x-7x=5x-21+33$

(a)

117.

Solve: 5x + 15 = 10x - 40

a)

x = 10

b)

x = -10

c)

x = 11

d)

x = -11

118.

Solve. Select BOTH solutions.

$\left|x-1\right|=3$

a)

-2

b)

2

c)

4

d)

-3

119.

Solve. Select BOTH solutions.
$\left|1-9x\right|=80$

a)

$-\frac{79}{9}$

b)

$10$

c)

$-9$

d)

$9$

120.

Solve. Select BOTH solutions.
$\left|-4+x\right|=10$

a)

$6$

b)

$14$

c)

$\frac{5}{2}$

d)

$-6$

121.

Solve. Select BOTH solutions.
$\frac{\left|-1+x\right|}{5}=1$

a)

$-4$

b)

$7$

c)

$-5$

d)

$6$

122.

Solve. Select BOTH solutions.
$5\left|7+x\right|+2=17$

a)

$-10$

b)

$3$

c)

$4$

d)

$-4$

123.

Solve. Select BOTH solutions.

$\left|\frac{x}{5}\right|=3$

a)

8

b)

-8

c)

15

d)

-15

124.

Solve. Select BOTH solutions.
$\left|9x+1\right|=73$

a)

$-\frac{74}{9}$

b)

$-8$

c)

$8$

d)

$63$

125.

Solve. Select BOTH solutions.
$\frac{\left|-1+x\right|}{5}=1$

a)

$-4$

b)

$7$

c)

$-5$

d)

$6$

126.

What is the solution to the system?

a)

(0, 3)

b)

(1, -1)

c)

(-3, 1)

d)

(1, 3)

127.

How many solutions will this system have?

a)

No solution

b)

One Solution

c)

I Don't Know

d)

Infinitely Many Solutions

128.

Which statement best describes "m"?

a)

x- intercept

b)

y - intercept

c)

slope

d)

bee

129.

Solve the System of Equations.

y = 2x − 11

2x − 8y = 4

a)

(6, 1)

b)

(6, −4)

c)

(6, −1)

d)

Infinite number of solutions

130.

Solve the System of Equations.

3x − 2y = 7

y = 2x − 7

a)

No solution

b)

(7, 7)

c)

(−7, −7)

d)

(−7, −3)

131.

Solve the System of Equations.

4x+8y=20

-4x+2y=-30

a)

(-7,1)

b)

(2,-5)

c)

(-2,5)

d)

(7,-1)

132.

Solve the System of Equations.

y = -1x - 5

4x - 8y = 4

a)

(-3, -2)

b)

(5, -7)

c)

(3, 9)

d)

(-5, 4)

133.

Solve the System of Equations.

3x + 2y = 16

7x + y = 19

a)

(-2,5)

b)

(-2,-5)

c)

(2,-5)

d)

(2,5)

134.

Solve the System of Equations.

4x-6y= -6

-2x-12y= -12

a)

(0,1)

b)

(1,0)

c)

(1,1)

d)

(2,1)

135.

Solve the System of Equations.

2x+9y= -7

6x-3y= 9

a)

(-1, -1)

b)

(2,-1)

c)

(1,1)

d)

(1,-1)

136.

^{What is the solution?}

a)

1

b)

-2

c)

(1, 2)

d)

(1, -1)

137.

Which inequality is graphed on the given coordinate plane?

a)

y > x + 1

b)

y < x + 1

c)

y ≥ -x + 1

d)

y ≤ -x + 1

138.

Which ordered pair(s) is a solution to the given system?

a)

(5, -5)

b)

(0,0)

c)

(-5, -2)

d)

(3,-3)

139.

Which ordered pair(s) is a solution to the given system?

a)

(5,0)

b)

(1,-3)

c)

(3,3)

d)

(2,1)

140.

This system has an infinite number of solutions, TRUE or FALSE?

a)

TRUE

b)

FALSE

141.

Rewrite this inequality in "y=" form to graph.
3x - 6y > 12

a)

y > ¹/₂x - 2

b)

y < -¹/₂x + 2

c)

y < ¹/₂x - 2

d)

y > -3x - 2

Grade 10 revision

Total questions: 141

Worksheet time: 5hrs 39mins

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