Free Printable Grade 10 MA1 T1 Alg 2 Revision

1.

What is the vertex of the absolute value function?

a)

(4, 0)

b)

(0, 4)

c)

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

d)

$\left[4,\ \infty\right)$

2.

What is the domain of the absolute value function?

a)

(4, 0)

b)

(0, 4)

c)

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

d)

$\left[4,\ \infty\right)$

3.

What is the range of the absolute value function?

a)

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

b)

$\left[3,\ \infty\right)$

c)

$\left[0,\ \infty\right)$

d)

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

4.

What is the range of this graph?

a)

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

b)

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

c)

(2, 3)

d)

$\left[3,\ \infty\right)$

5.

What is the y-intercept?

a)

(0, 2)

b)

(2, 0)

c)

none

d)

(2, 2)

6.

What is the vertex?

a)

(1, 4)

b)

(4, 1)

c)

(0, 0)

d)

(0, 1)

7.

What is the y-intercept?

a)

(0, 7)

b)

none

c)

(-4, 3)

d)

(0, 0)

8.

What is/are the x-intercept(s)? Select all that apply.

a)

(-10, 0)

b)

(2, 0)

c)

(0, -1)

d)

(-4, -3)

9.

What is/are the x-intercept(s) of the absolute value function?

a)

(0, 4)

b)

none

c)

(4, 0)

d)

[4, infinity)

10.

What is the equation of the absolute value function?

a)

f(x)= |x+4|

b)

f(x)= |x-4|

c)

f(x)= |x| + 4

d)

f(x)= |x| - 4

11.

What is the equation of the absolute value function?

a)

f(x)= 4|x+3|

b)

f(x)= 1/4 |x+3|

c)

f(x)= 1/4 |x - 3|

d)

f(x)= 4|x - 3|

12.

The function
^{f(t) = -2|t - 15| + 50}is graphed and represents weekly sales of shoes, f(t) in $1000s, where t is weeks. What is the domain for this graph?

a)

0 ≤ t ≤ 40

b)

0 ≤ t ≤ ∞

c)

20 ≤ t ≤ 40

d)

-∞ ≤ t ≤ 50

13.

Name the parent function.

a)

linear

b)

quadratic

c)

absolute value

d)

cubic

14.

Name the parent function.

a)

constant

b)

square root

c)

linear

d)

absolute value

15.

What is the equation of the graph below?

a)

f(x) = I x + 2 I

b)

f(x) = I x + 2 I +2

c)

f(x) = I x - 2 I +2

d)

f(x) = I x - 2 I

16.

Describe the transformation from the Absolute Value Parent Function.

a)

Stretches more narrow, shifts up 4 units

b)

Stretches more narrow, shifts down 4 units

c)

Compresses wider, shifts up 4 units

d)

Compresses wider, shifts down 4 units

17.

y = |x| - 7 makes the graph slide . . .

a)

left 7

b)

right 7

c)

up 7

d)

down 7

18.

Determine the transformation

a)

Left 5, up 1

b)

Left 5, down 1

c)

Right 5, up 1

d)

Right 5, down 1

19.

Determine the Domain

a)

x > 5

b)

x > -5

c)

All Reals

d)

x > 1

20.

Determine the Range of the function

a)

y > 2

b)

y < 2

c)

y > 0

d)

y < 0

21.

Describe the transformations of the absolute value equation.

a)

Flips to A shape, compresses wider, shifts right 1 unit

b)

Flips to A shape, compresses wider, shifts up 1 unit

c)

Flips to A shape, stretches more narrow, shifts right 1 unit

d)

Flips to A shape, stretches more narrow, shifts up 1 unit

22.

Write an absolute value function given the following transformations:
Vertical Stretch of 2
Horizontal shift left 1 unit
Vertical shift down 9 units

a)

f(x) = |2x + 1| - 9

b)

f(x) = |2x - 1| - 9

c)

f(x) = 2|x + 1| - 9

d)

f(x) = 2|x - 1| - 9

23.

Write an absolute value function given the following transformations:
Reflection across the x-axis
Vertical shift right 2 units
Horizontal shift down 7 units

a)

y = -|x + 2| - 7

b)

y = |x - 2| - 7

c)

y = -|x - 2| - 7

d)

y = -|x - 2| + 7

24.

What is the equation of the graph below? You can click the picture to zoom in!

a)

y = - | x + 2| + 4

b)

y = - | x - 2| + 4

c)

y = | x - 2 | + 4

d)

y = | x - 2| - 4

25.

What is the vertex of the following function?
y= -4|x+2|+5

a)

(-4,2)

b)

(-2,5)

c)

(-4,-2)

d)

(2,5)

26.

What is the vertex of the following function?
y= 4|x|+1

a)

(0,1)

b)

(4,1)

c)

(-4,1)

d)

(4,-1)

27.

Which function is graphed?

a)

f(x) = -3|x - 1| + 4

b)

f(x) = -|x - 1| + 4

c)

f(x) = -5|x + 1| + 4

d)

f(x) = -3|x - 4| + 1

28.

What is the transformation for the function: y = -3|x| ?

a)

stretched and shifted down

b)

compressed and shifted down

c)

opens down and compressed

d)

opens down and stretched

29.

Write the equation for a graph that shifts down 9.

a)

y=|x|-9

b)

y=|x-9|

c)

y=-9|x|

d)

y=|x|+9

30.

What is the transformation for the function: y=|x|+10 ?

a)

Shifted left 10

b)

Shifted right 10

c)

Shifted up 10

d)

Shifted down 10

31.

What are the transformations of the equation: y = -¹/₂|x| + 3

a)

Stretch

b)

Reflect

c)

Vertical shift

d)

Shrink - Compress

32.

What is the vertex of the following function?
y=2|x-3|+1

a)

(2,3)

b)

(-3,1)

c)

(2,-3)

d)

(3,1)

33.

Write an absolute value function given the following transformations:
Reflection across the x-axis
Vertical shift right 2 units
Horizontal shift down 7 units

a)

y = -|x + 2| - 7

b)

y = |x - 2| - 7

c)

y = -|x - 2| - 7

d)

y = -|x - 2| + 7

34.

Determine the transformation

a)

Left 5, up 1

b)

Left 5, down 1

c)

Right 5, up 1

d)

Right 5, down 1

35.

Write an absolute value function given the following transformations from the parent function: Reflection across the x-axis Vertical shift right 2 units Horizontal shift down 7 units

a)

$y=-|x+2|-7$

b)

$y=|x-2|-7$

c)

$y=-|x-2|-7$

d)

$y=-|x-2|+7$

36.

Describe the transformation of the equation below:

y = I x + 3 I

a)

Left 3

b)

Right 3

c)

Up 3

d)

Down 3

37.

Describe the transformation of the equation below from the parent function of y = IxI

y = I x + 2 I - 5

a)

Left 2 up 5

b)

Right 2 up 5

c)

Left 2 down 5

38.

Describe the transformation that is applied to the parent function.

f(x) = IxI - 5

a)

Shifts left 5

b)

Shifts right 5

c)

Shifts up 5

d)

Shifts down 5

39.

What is the transformation for the function: y = 3|x| ?

a)

horizontally stretched

b)

vertically compressed

c)

up 3 units

d)

vertically stretched

40.

What is the transformation for the function: y= -|x| ?

a)

Shifted right 1

b)

Shifted down 1

c)

reflected across the x-axis

d)

reflected across the y-axis

41.

What is the transformation for the function: y = |-x| ?

a)

horizontal stretch

b)

reflection across the x-axis

c)

reflection across the y-axis

d)

vertical compression

42.

Describe the transformation from the parent function

y = |x|?

y = |3x|

a)

Vertical Compression

b)

Vertical Stretch

c)

Horizontal compression

d)

Horizontal Stretch

43.

The blue graphs is the parent function f(x)=|x|, the red must be

a)

g(x)=|x+2|

b)

g(x)=|x|+2

c)

g(x)=|x-2|

d)

g(x)=|x|-2

44.

Describe the transformation of the equation below from the parent function of y = I x I
y = -2 I x - 3 I + 3

a)

reflected over x axis, stretched by 2, right 3, up 3

b)

reflected over x axis, stretched by 2, left 3 up 3.

c)

reflected over x axis, compress by 2, right 3, up 3

d)

reflected over the x axis, compress by 2, left 3, up 3

45.

Describe the transformations of the absolute value equation.

a)

Reflects over x-axis, compresses wider, shifts right 1 unit

b)

Reflects over x-axis, compresses wider, shifts up 1 unit

c)

Reflects over x-axis, stretches more narrow, shifts right 1 unit

d)

Reflects over x-axis, stretches more narrow, shifts up 1 unit

46.

The graph represents a piecewise function. How many pieces make up the function?

a)

1

b)

2

c)

3

d)

4

47.

What is the equation and domain of the blue piece, labelled as "A"?

a)

f(x) = x + 1, x ≤ –1

b)

f(x) = x + 2, x ≤ –1

c)

f(x) = x, x ≤ –1

d)

f(x) = x – 1, x ≤ –1

48.

The equation of the red piece is y = 1. What is the domain of the red piece?

a)

x > –1

b)

x < –1

c)

x < –1 or x > 1

d)

–1 < x < 1

49.

What is the equation and domain of the green piece, labelled as "C"?

a)

f(x) = 3x + 1, x ≥ 1

b)

f(x) = 3x, x ≥ 1

c)

f(x) = 3x – 1, x ≥ 1

d)

f(x) = 3x – 2, x ≥ 1

50.

Which graph matches:

-x+4 if x<2

2x-6 if x>=2

a)

A

b)

B

c)

C

d)

D

51.

Match the graph with the correct equation.

a)

b)

c)

d)

52.

Match the graph with the correct equation.

a)

b)

c)

d)

53.

What are the values of A, H and K in the equation below?

f(x) = 4|x +2| - 3

a)

A= 4

H= 2

K= - 3

b)

A= 4

H= - 2

K= - 3

c)

A= - 3

H= 4

K= 2

54.

Which of the following represents a vertical stretch of the parent function f(x) = |x| by a factor of 5?

a)

f(x) = |x| + 5

b)

f(x) = 5|x|

c)

f(x) = |5x|

d)

f(x) = |x| - 5

55.

Evaluate: |-12|

a)

12

b)

-12

c)

0

d)

1.2

56.

What graph is an absolute value graph?

a)

b)

c)

d)

57.

What equation goes with this graph?

a)

$y\ =\ \left(x+2\right)^2+3$

b)

$y=\left|x-2\right|+3$

c)

$y=\left|x-3\right|+2$

d)

$y=\left(x-2\right)^2+3$

58.

Identify which graph goes along with the function $y=\left(x-4\right)^2+2$

a)

b)

c)

d)

59.

Identify what function represents the graph?

a)

$y=\left|x-4\right|-1$

b)

$y=\left|x+4\right|-1$

c)

$y=\left(x-4\right)^2-1$

d)

$y=\left(x+4\right)^2-1$

60.

A Quadratic function moves to the right 3 units and down 2 units. Which function goes with this graph?

a)

$y=\left|x+3\right|-2$

b)

$y=\left(x+3\right)^2-2$

c)

$y=\left|x-3\right|-2$

d)

$y=\left(x-3\right)^2-2$

61.

Identify what function goes with the graph?

a)

$y=\left|x+4\right|-1$

b)

$y=\left(x+4\right)^2-1$

c)

$y=-\left(x+4\right)^2-1$

d)

$y=-\left|x+4\right|-1$

62.

What is the Range of this graph?

a)

$\left[0,\infty\right]$

b)

$\left(0,\infty\right)$

c)

$\left[0,\infty\right)$

d)

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

63.

What is the Domian of this graph?

a)

$\left[0,\infty\right]$

b)

$\left[-\infty,\infty\right]$

c)

$\left[0,\infty\right)$

d)

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

64.

Evaluate f(3) on the graph

a)

f(3) = 1

b)

f(3) = 2

c)

f(3) = 0

d)

f(3) = -1

65.

Evaluate f(5)

a)

f(5) = 0

b)

f(5) = 1

c)

f(5) = -3

d)

f(5) = -2

66.

Evaluate g(-2) with the function $g\left(x\right)=-2x+4$

a)

g(-2) = 8

b)

g(-2) = 0

c)

g(-2) = 4

d)

g(-2) = -4

67.

On what intervals of x is f(x) negative?

a)

b)

c)

$4\le x\le\infty$

d)

$0\le x\le4$

68.

On what intervals of x is f(x) decreasing?

a)

b)

c)

d)

69.

Which statement is true about this function?

a)

The function is never constant

b)

The function is always increasing

c)

The function is never decreasing

d)

The function increases on the interval 11:00 < x < 15:00

70.

What is the domain of the graph?

a)

1≤ x ≤ 4

b)

1 < x < 4

c)

1≤ y ≤ 4

d)

1 < y < 4

71.

What is the RANGE of this graph?

a)

-7<x<5

b)

-7≤x<5

c)

-3<x<1

d)

-3≤x<1

72.

Which graph matches the function:
y = -2|x - 3| + 5

a)

A

b)

B

c)

C

d)

D

73.

Which piecewise function corresponds to this graph? (Take your time)

a)

f(x) = { x if x < 4; -x+1 if x ≥ 4

b)

f(x) = { x if x ≤ 4; -x+1 if x > 4

c)

f(x) = { -x+1 if x < 4; x if x ≥ 4

d)

f(x) = { -x+1 if x ≤ 4; x if x > 4

74.

Evaluate f(-4)

a)

-2

b)

-3

c)

11

d)

-5

75.

Evaluate f(4)

a)

3

b)

7

c)

-4

d)

-7

76.

Determine the interval of increase.

a)

$\left(-\infty,-2\right)$

b)

$\left(-2,1\right)$

c)

$\left(1,\infty\right)$

d)

$\left(-1,\infty\right)$

77.

Evaluate f(0).

a)

-2

b)

0

c)

1

d)

2

78.

Evaluate f(3).

a)

-2

b)

0

c)

1

d)

2

79.

Identify the correct equation & inequality for the blue piece:

a)

$2;\ x<-3$

b)

$-3;\ \ x\le2$

c)

$2;\ x\ge-3$

d)

$-3;\ x<-3$

80.

Identify the correct equation & inequality for the orange piece:

a)

$-x+1;\ \ x\ge-3$

b)

$x+1;\ -3\le x<2$

c)

$x+1;\ \ -3>x>2$

d)

$-x+1;\ -3\le x<2$

81.

Identify the correct equation & inequality for the green piece:

a)

$-x;\ \ x>2$

b)

$-x-2;\ x\ge-4$

c)

$-x-2;\ \ x\ge2$

d)

$x+2;\ \ x\le2$

82.

Determine the piecewise equation & inequality for the middle step of the function:

a)

$4;\ 4<x<6$

b)

$4;\ \ 4<x\le6$

c)

$3;\ \ 5<x\le6$

d)

$3;\ \ 5<x<6$

83.

Describe the transformation from the Absolute Value Parent Function.

a)

Stretches more narrow, shifts right

b)

Stretches wider, shifts right

c)

Stretches more narrow, shifts left

d)

Stretches wider, shifts left

84.

What is f when x equals 0?

a)

-5

b)

0

c)

1/2

d)

1

85.

What is f when x equals 4?

a)

-5

b)

0

c)

3

d)

6

86.

What is f when x equals 8?

a)

0

b)

5

c)

11

d)

16

87.

How many pieces is this Piecewise Function composed of?

a)

1

b)

2

c)

3

d)

4

88.

Find f(-2)

a)

-3

b)

6

c)

8

d)

-6

89.

Find f(0)

a)

-3

b)

18

c)

4

d)

0

90.

Evaluate f(-5)

a)

0

b)

2

c)

5

d)

-4

91.

What absolute value function would go through these points?

a)

$f\left(x\right)=-\left|x-1\right|-2$

b)

$f\left(x\right)=\left|x+1\right|+2$

c)

$f\left(x\right)=-\left|x-1\right|+2$

d)

$f\left(x\right)=\left|x-1\right|+2$

92.

Which of the 3 piecewise equations is depicted by the graph? (Take your time!) (Hint: think about everything you know about graphs and how they should behave)

a)

f(x)

b)

g(x)

c)

h(x)

93.

a)

(1/3)x if {x<-3}

x² - 4 if {-3≤x<1}

√x if {x≥1}

b)

(1/3)x +3 if {x<-4}

x² - 4 if {-4≤x<4}

√x if {x≥0}

c)

(1/3)x +2 if {x<-3}

x² - 4 if {-3≤x<1}

d)

(2/3)x +2 if {x<-5}

x² - 4 if {-3≤x<1}

√x if {x≥1}

94.

1. What is this type of function called?

a)

Discrete Function

b)

Segment Function

c)

Step Function

d)

Jump Function

e)

Linear

95.

How much does it cost to rent the Karaoke machine for 3 days?

a)

$50

b)

$100

c)

$150

d)

$175

96.

What is the value of y when x = -2?

a)

4

b)

2

c)

-3

d)

-4

97.

How many "pieces" are graphed in this function?

a)

1

b)

2

c)

3

d)

4

98.

What is the DOMAIN of the function?

a)

All Real Numbers

b)

x ≤ 4

c)

x > 4

d)

0 ≤ x ≤ 4

99.

What is the RANGE of the function?

a)

All Real Numbers

b)

y ≤ 4

c)

y < 4

d)

0 < y < 4

100.

Name the type of function:

a)

piecewise function

b)

linear function

c)

quadratic function

d)

step function

101.

Which of functions represents the graph?

a)

b)

c)

d)

102.

Which of the piecewise functions matches this graph?

a)

b)

c)

d)

103.

Arithmetic, geometric, or neither?

4, 9, 14, 19, ...

a)

Arithmetic

b)

Geometric

c)

Neither

104.

Arithmetic, geometric, or neither?

100, 50, 25, 12.5, ...

a)

Arithmetic

b)

Geometric

c)

Neither

105.

Find the common difference:

25, 13, 1, -11, ...

a)

12

b)

-12

c)

8

d)

-8

106.

Find the common ratio:

2, 8, 32, 128, ...

a)

1/4

b)

4

c)

1/6

d)

6

107.

Find the next term:

100, 65, 30, -5...

a)

20

b)

-20

c)

40

d)

-40

108.

What are the first three terms of the sequence defined by the following equation?
a_n = 7 + (n - 1)5

a)

7, 35, 175

b)

7, 2, -3

c)

12, 17, 22

d)

7, 12, 17

109.

What is the 16th term of the following sequence?

\left\{10,\ 12,\ 14,\ 16,\ 18,\ ...\right\}

a)

36

b)

38

c)

40

d)

42

110.

-21, -16, -11, -6, ...

Is this sequence arithmetic, geometric, or neither?

a)

arithmetic (common difference d = 5)

b)

geometric (common ratio r = 5)

c)

neither (no common difference OR common ratio) neither (no common difference OR common ratio)

111.

3, 9, 15, 22, ...

Is this sequence arithmetic, geometric, or neither?

a)

arithmetic (common difference d = 6)

b)

geometric (common ratio r = 4)

c)

neither (no common difference OR common ratio) neither (no common difference OR common ratio)

112.

Determine whether the sequence is arithmetic, geometric, or neither.

a)

arithmetic

b)

geometric

c)

neither

113.

Determine whether the sequence is arithmetic, geometric, or neither.

a)

arithmetic

b)

geometric

c)

neither

114.

Find the common ratio for the geometric sequence.

a)

10

b)

1/2

c)

2

d)

4

115.

Using the formula $a_n=a_1+d\left(n-1\right)$ , where $a_1$ represents the first term and $d$ represents the common difference, write a formula for the sequence 18, 16, 14, 12, 10, 8, ...

a)

$a_n=18+2\left(n-1\right)$

b)

$a_n=18-2\left(n-1\right)$

c)

$a_n=2+18\left(n-1\right)$

d)

$a_n=-2+18\left(n-1\right)$

116.

Which of the following best describes this sequence?

\left\{5,\ 8,\ 11,\ 14,\ ...\right\}

a)

An arithmetic sequence with a common ratio of 3.

b)

A geometric sequence with a common difference of 3.

c)

An arithmetic sequence with a common difference of 3.

d)

A geometric sequence with a common ratio of 3.

117.

An arithmetic sequence has a₁=2 and d=4. What is the Explicit Rule for a_n and use it to find the 20^th term.

a)

a_n = 2 - 4(n-1)

a₂₀ = 82

b)

a_n = 2 + 4(n-1)

a₂₀ = 78

c)

a_n = 2(4)^n-1

a₂₀ = 2199023255552

d)

a_n = 4 + 2(n-1)

a₂₀ = 42

118.

The first three terms of an arithmetic sequence are 3, 11, and 19. Which function represents the sequence?

a)

a_n = 8 + 3(n-1)

b)

a_n = 8(3)^n-1

c)

a_n = 3 + 8(n-1)

d)

a_n = 3 + 8n

119.

A sequence is defined by the recursive rule

a₁ = -4

a_n = a_n-1 + 5

What is the seventh term of the sequence?

a)

8

b)

31

c)

7

d)

26

120.

Write the explicit formula for the sequence.

9, 5, 1, -3, ...

a)

$f\left(n\right)=9+5\left(n-1\right)$

b)

$f\left(n\right)=9-4\left(n-1\right)$

c)

$f\left(n\right)=4+9\left(n-1\right)$

d)

$f\left(n\right)=9\cdot4^{\left(n-1\right)}$

121.

The first three terms of an a sequence are 3, 11, and 19. Which formula represents the sequence?

a)

a_n = 8 + 3(n-1)

b)

a_n = 8(3)^n-1

c)

a_n = 3 + 8(n-1)

d)

a_n = 3 + 8n

122.

Find the explicit formula:

8, 14, 20, 26, ...

a)

aₙ = 6n + 2

b)

aₙ = 8n + 6

c)

aₙ = 2n + 6

d)

aₙ = 6n + 8

123.

Given the recursive formula below, find the first five terms.

u₁ = 3

u_n = u_n-1 + 2

a)

3, 5, 7, 9, 11

b)

5, 7, 9, 11, 13

124.

Given the first five terms, write the recursive formula.
15, 12, 9, 6, 3 ....

a)

u₁ = 15
u_n = u_n-1 + 3

b)

u₀ = 15
u_n = u_n-1 + 3

c)

u₁ = 15
u_n = u_n-1 - 3

d)

u₀ = 15
u_n = u_n-1 - 3

125.

Given the recursive formula below, find the explicit formula.
a₀= 1
a_n = a_n-1 + 5

a)

a_n= 6 + 5n

b)

a_n = 1 + 5n

126.

Given the sequence below, write the explicit formula.
3, 8, 13, 18 ...

a)

u_n = 3 + 5n

b)

u_n= -2 + 5n

127.

Write the recursive formula of 13, 9, 5, 1, -3, ...

a)

a_n=a_n-1-4

b)

a_n=a_n-1+3

c)

a_n=a_n-1-5

d)

a_n=a_n-1+4

128.

Write a recursive formula for the sequence -4, -6, -8, -10, … .

a)

$a_n=a_{n+1}+2$

b)

$a_n=a_{n-1}+2a$

c)

$a_n=a_{n-1}-2$

d)

$a_n=a_{n-1}+2$

Grade 10 MA1 T1 Alg 2 Revision

Total questions: 128

Worksheet time: 5hrs 33mins

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