Free Printable Algebra 1 9WKS 3 Review

1.

Which polynomial is written in standard form?

a)

-3x + 8x² + 9x³ - 11

b)

9x³ + 8x²- 3x - 11

c)

8x²+ 9x³ -11 - 3x

d)

-11 - 3x + 8x² + 9x³

2.

Which polynomial is written in standard form?

a)

8x - 11x²

b)

4x³ + 7x - 9

c)

12 + 4x

d)

13x + 7x² - 9x³ + 12

3.

Identify the degree of the monomial:
8a³

a)

8

b)

1

c)

3

d)

11

4.

A polynomial that has two terms is a:

a)

polynomial

b)

monomial

c)

binomial

5.

What is the term classification of the following polynomial?
x³-7x²+3

a)

monomial

b)

binomial

c)

trinomial

d)

polynomial

6.

4x² + 8x - 7
is classified as a...

a)

Third Degree Monomial

b)

Second Degree Binomial

c)

Second Degree Trinomial

d)

Third Degree Cubic

7.

Which of these is in Standard Form?

a)

$4x^2+12x-13x^3$

b)

$5-3x$

c)

$2x^4-12x^2+5x-9$

d)

$5x^5+4x^{\text{4}}+12x^3-23x+15$

8.

(3x + 4y - 3z) - (2x - 6y + 7z)

a)

x + 10y - 10z

b)

-x +10y - 10z

c)

x -10y - 10z

d)

-x -10y - 10z

9.

Add the polynomials.
(3x³ + 3x² – 4x + 5) + (x³ – 2x² + x – 4)

a)

4x³ + 1x² – 3x + 1

b)

2x³ + 1x² - 5x + 9

c)

6x³ + 1x - 1x² - 3

d)

3x⁵ +1x - 1x⁵ - 3x

10.

Find the sum.
(3x³ + 3x² – 4x + 5) + (x³ – 2x² + x – 4)

a)

4x³ + 1x² – 3x + 1

b)

2x³ + 1x² - 5x + 9

c)

6x³ + 1x - 1x² - 3

d)

3x⁵ +1x - 1x⁵ - 3x

11.

Subtract: (2a² + 5a + 3) -(a² - 3a - 4)

a)

3a² + 2a - 1

b)

a²+ 8a + 7

c)

3a²+ 8a + 7

d)

a² + 2a - 1

12.

Which polynomial correctly combines like terms and puts the given polynomial in standard form?

\frac{1}{3}x+8x^4-\frac{2}{3}x^2-x

a)

$8x^4-\frac{1}{3}x^2-x$

b)

$8x^4+\frac{2}{3}x^2+\frac{2}{3}x$

c)

$8x^4-\frac{2}{3}x^2-\frac{2}{3}x$

d)

$8x^4-\frac{2}{3}x^2-x$

13.

Simplify:
2x ( -2x -3)

a)

-4x - 3

b)

x² - 3

c)

-4x² - 6x

d)

-4x - 6

14.

(x +2)(x + 3)

a)

x² + 5x + 6

b)

x² + x + 6

c)

x² + 5x + 5

d)

x² + 6x + 6

15.

(5x+2)(x²-3x+6)

a)

5x³- 17x²+24x +12

b)

5x³+ 17x² - 24x +12

c)

5x³ - 13x² + 24x +12

d)

5x³ +13x² - 24x - 12

16.

(3x - 2)(6x + 1)

a)

21x²

b)

18x² + 9x + 2

c)

9x² - 9x - 2

d)

18x² - 9x - 2

17.

Solve for x:

x + 2 = 9

a)

7

b)

5

c)

9

d)

11

18.

14 + 35v = 3v + 14

a)

One Solution

b)

No Solution

c)

Infinite Solutions

19.

36 - 7p = -7p + 35

a)

One Solution

b)

No Solution

c)

Infinite Solutions

20.

2x - 3 + 4x = 27

a)

12

b)

4

c)

5

d)

15

21.

5x - 14 = 8x + 4

a)

x = 6

b)

x = -6

c)

x = -18/13

d)

x = 10/3

22.

7x - 4 = 3 + 8x

a)

x = 7

b)

x = -7

c)

x = 2/7

d)

x = 11

23.

6(5g+ 2)=30g

a)

g=2

b)

g=12

c)

all real numbers

d)

no solution

24.

5(2x -1) = -5+ 10x

a)

x = 5

b)

x = 0

c)

all real numbers

d)

no solution

25.

What is the first step to solve this equation?

3x + 6 = 10 + 3x + 4x

a)

Add 4x to both sides of the equation

b)

Combine like terms 3x and 4x on the same side of the equation

c)

Add 3x and 6 to get 9x

d)

Add 6 and 10 to get 16

26.

30b + 53 ≥ 18b − 83

a)

b≥−34/3

b)

b≥-14 2/3

c)

b>8

d)

-b<12

27.

54x + 64 ≥ 49x + 59

a)

x≥−1

b)

x≤-1

c)

x>9

d)

x<-3

28.

a)

Function

b)

Not a Function

29.

Is this mapping a function or not a function?

a)

Function

b)

Not a Function

30.

All of the y values or outputs are called what?

a)

Domain

b)

Range

c)

Relation

d)

Function

31.

All of the x values or inputs are called what?

a)

Domain

b)

Range

c)

Relation

d)

Function

32.

Which of these is NOT the same

a)

Range

b)

Input

c)

Dependent Value

d)

Y-Value

33.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

34.

Which set of values is a function?

a)

(9,5) (10,5) (9,-5) (10,-5)

b)

(3,4) (4,-3) (7,4) (3, 8)

c)

(6,-5) (7, -3) (8, -1) (9, 1)

d)

(2, -2) (5, 9) (5, -7) (1, 4)

35.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

36.

For the function {(0,1), (1,-3), (2,-4), (-4,1)}, write the domain and range.

a)

D: {1, -3, -4,}
R: {0, 1, 2, -4}

b)

D:{0, 1, 2, -4}
R:{1, -3, -4}

c)

D:{0, 1, 2, 3, 4}
R:{1, -3, -4}

37.

a)

8

b)

-24

c)

24

d)

-22

38.

a)

27

b)

21

c)

24

d)

72

39.

a)

30

b)

62

c)

14

d)

32

40.

a)

Function

b)

Not a Function

41.

Is this a continuous or discrete function?

a)

Continuous

b)

Discrete

42.

Is this a continuous or discrete function?

a)

Continuous

b)

Discrete

43.

Is this a continuous or discrete function?

a)

Continuous

b)

Discrete

44.

Is this a continuous or discrete function?

a)

Continuous

b)

Discrete

45.

Discrete or Continuous?

a)

Discrete

b)

Continuous

46.

What is the range of the function shown?

a)

{10, 19, 26}

b)

{-3, 0, 4}

c)

{-3, 0, 4, 10, 19, 26}

d)

{0, 16}

47.

What is the range of the function f(x)= x² + 2 when the domain
is {-1, 0 , 1}?

a)

{1, 2, 3}

b)

{2, 3}

c)

{0, 2, 4}

d)

{1, 3}

48.

What is the domain of the function graphed?

a)

x < 5

b)

x ≥ 1

c)

x > 0

d)

All real numbers

49.

Which of the inequalities below best describes the domain of the function shown on the graph?

a)

-2 ≤ x ≤ 2

b)

-5 ≤ x ≤ -3

c)

-2 ≤ x ≤ 3

d)

-5 ≤ x ≤ 3

50.

A toy rocket is launched into the air, and the data from the rocket's flight is graphed below. What is the domain of the data collected?

a)

0≤ x ≤ 7

b)

0≤ x ≤ 8

c)

0≤ y ≤ 7

d)

0≤ y ≤ 8

51.

The elements of f(x) are (-7, 3), (-1, 6) and (8, -3). What is the range of the function?

a)

{-7, -1, -8}

b)

{-3, 6}

c)

{-3, 3, 6}

d)

All real numbers

52.

What is the range of the function graphed?

a)

-3 < x ≤ 6

b)

-3 < y ≤ 6

c)

2 < y ≤ 6

d)

2 < x ≤ 6

53.

What is the domain of the graph?

a)

{-4, 0, 2, 4}

b)

{-5, -4, -3, -1}

c)

{-5, -4, -3, -1, 0, 2, 4}

d)

All real numbers

54.

Write an equation in slope-intercept form:

$slope\ =\ -\frac{2}{3}$ $y-intercept\ =\ \left(0,\ -9\right)$

a)

$y\ =\ -\frac{2}{3}x\ +\ 9$

b)

$y\ =\ -\frac{2}{3}x\ -\ 9$

c)

$y\ =\ -9x\ +\ \frac{2}{3}$

d)

$y\ =\ -9x\ -\ \frac{2}{3}$

55.

Write an equation in slope-intercept form:

$Slope\ =\ 10$

y-intercept\ =\ \left(0,\ 8\right)

a)

$y\ =\ 8x\ -\ 10$

b)

$y\ =\ 8x\ +\ 10$

c)

$y\ =\ 10x\ -\ 8$

d)

$y\ =\ 10x\ +\ 8$

56.

Write an equation in slope-intercept form:

$Slope\ =\ \frac{3}{8}$

y-intercept\ =\ \left(0,\ -1\right)

a)

$y\ =\ \frac{3}{8}x\ -\ 1$

b)

$y\ =\ \frac{3}{8}x\ +\ 1$

c)

$y\ =\ 1x\ +\ \frac{3}{8}$

d)

$y\ =\ 1x\ -\ \frac{3}{8}$

57.

Write the equation for the graph shown.

a)

$y\ =\ -\frac{2}{4}x\ +\ 8$

b)

$y\ =\ \frac{2}{4}x\ +\ 8$

c)

$y\ =\ 8x\ +\ \frac{2}{4}$

d)

$y\ =\ -\frac{4}{2}x\ +\ 8$

58.

Gil has $200 saved for snacks. He will spend $5 on snack per week until he runs out.

a)

$y\ =\ 200-5x\$

b)

$y\ =\ 5x\ +\ 200$

c)

$y\ =\ -200x\ +\ 5$

59.

Bad Bunny currently has $5 to go to Mexico. He is selling his famous cupcakes for $25 per dozen to raise more money.

a)

$y\ =\ 25x\ -\ 5$

b)

$y\ =\ 25x\ +\ 5$

c)

$y\ =\ 5x\ +\ 25$

d)

$y\ =\ -5x\ +\ 25$

60.

Write an equation for the table shown.

a)

$y\ =\ \frac{1}{2}x\ +\ 4$

b)

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

c)

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

d)

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

61.

Write an equation for the table shown.

a)

$y\ =\ 3x\ +\ 4$

b)

$y\ =\ 3x\ -\ 2$

c)

$y\ =\ \frac{1}{3}x\ +\ 4$

d)

$y\ =\ -3x\ +\ 4$

62.

Which company shows a greater rate of change?

a)

Water's Edge Rafts

b)

Ryan's Rafts

63.

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

a)

7/6

b)

2

c)

6/7

d)

-2

64.

Find slope:

a)

m= 4

b)

m=1/4

c)

m=-4

d)

m=-1/4

65.

What is the y-intercept?

a)

7

b)

0

c)

1

d)

2

66.

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

a)

b)

c)

d)

67.

Find the slope of the line.

a)

-5/4

b)

5/4

c)

-4/5

d)

4/5

68.

Find the slope of the line.

a)

Undefined

b)

0

c)

1

d)

-1

69.

Find the slope of the line.

a)

Undefined

b)

0

c)

1

d)

-1

70.

What is the y-intercept of the equation:
y = 2x - 3

a)

-2

b)

2

c)

3

d)

-3

71.

Which of these represents slope-intercept form?

a)

y - y₁ = m(x-x₁)

b)

Ax + By = C

c)

y = mx + b

72.

What is the y-intercept for the given graph?

a)

(0,-5)

b)

(0,5)

c)

(0,1)

d)

(0,-1)

73.

Name the x- and y-intercepts for the equation:
5x - 3y = 15

a)

(3, 0) and (0, -5)

b)

(0, 3) and (-5, 0)

c)

(5, 15) and (15, 3)

d)

(0, -3) and (5, 0)

74.

Which graph represents 2x + 4y = 12?

a)

b)

c)

d)

75.

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

a)

b)

c)

d)

76.

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

a)

b)

c)

d)

77.

Which of the following linear inequalities represents the graph?

a)

$y\ge3$

b)

$x\ge3$

c)

$y\le3$

d)

$y<3$

78.

Which of the following linear inequalities represents the graph?

a)

$x\ge2$

b)

$x\ge-2$

c)

$y\ge-2$

d)

$y>-2$

79.

When graphing a linear inequality, < and > signs would require you to draw...

a)

a solid line

b)

a dotted line

80.

When graphing a linear inequality, $\le$ and $\ge$ signs would require you to draw...

a)

a solid line

b)

a dotted line

81.

Which point below is NOT part of the solution set?

a)

(0, 0)

b)

(-10, -10)

c)

(-1, 5)

d)

(5, 20)

82.

Are the points on the line part of the solution set or not?

a)

Yes, they are part of the solution set

b)

No, they are NOT part of the solution set

83.

Write the linear inequality in standard form for this situation: In order to raise money to attend upcoming competitions, the Math Pentathalon team is selling apple cider and hot chocolate. They hope to make at least $240 by selling hot chocolate for $1 a glass and hot apple cider for $2 a glass.

a)

x + 2y < 240

b)

x + 2y > 240

c)

x + 2y ≤ 240

d)

x + 2y ≥ 240

84.

Which point is not a solution?

a)

(1, 3)

b)

(-1, 2)

c)

(3, -2)

d)

(5, 0)

85.

Which point is a solution?

a)

(0, 6)

b)

(-3, 4)

c)

(1, 0)

d)

(-4, 3)

86.

Match, the solutions is the purple area

a)

y > -4/5x - 1 and y ≤ 2/3x + 3

b)

y ≥ -4/5x - 1 and y ≤ 2/3x + 3

c)

y < -4/5x - 1 and y < 2/3x + 3

d)

y < -4/5x - 1 and y ≥ 2/3x + 3

87.

Match

a)

y ≥ -x - 1 and y < x + 4

b)

y < -x - 1 and y > x + 4

c)

y > -x - 1 and y ≥ x + 4

d)

y < -x - 1 and y ≥ x + 4

88.

What is the solution to this system of equations?

a)

(-4,3)

b)

(5,-4)

c)

(-4, -5)

d)

(-4, 5)

89.

What is the solution to this system of equations?

a)

(1,4)

b)

(4,1)

c)

(3,5)

d)

(-1, 4)

90.

How may solutions does this graph have?

a)

None

b)

1

c)

3

d)

Infinitely many

91.

Solve by graphing.
y = 2x + 1
y = 4x - 1

a)

(1,3)

b)

(-1,-3)

c)

(-1,3)

d)

(3,1)

92.

Solve this system of equations by graphing.

y = 1/2x + 2

y = -3x + 9

a)

(2, 3)

b)

(-2, -3)

c)

(3, 2)

d)

(-3, 2)

93.

Solve the system of equations.
y = 4x+1
3x + 2y = 13

a)

(1, 5)

b)

(5, 1)

c)

(0.25, 2)

d)

∅

94.

Solve the system of equations.
x + 2y = -3
x - y = -12

a)

(-9, 3)

b)

(-7 ,5)

c)

(3, 15)

d)

(9, 6)

95.

According to exponent rules, when we raise a power to a power we _______ the exponents.

a)

add

b)

subtract

c)

multiply

d)

divide

96.

According to exponent rules, when we multiply powers we _______ the exponents.

a)

add

b)

subtract

c)

multiply

d)

divide

97.

According to exponent rules, when we divide powers we _______ the exponents.

a)

add

b)

subtract

c)

multiply

d)

divide

98.

Simplify.

a)

y¹⁵

b)

y⁵

c)

y²

d)

2y⁵

99.

a)

b)

c)

d)

100.

a)

b)

c)

d)

101.

Simplify.

a)

y⁶⁰

b)

¹/_y¹⁶

c)

y^-16

d)

y⁴

102.

Factor x²-2x-15

a)

(x+5)(x-3)

b)

(x-5)(x-3)

c)

(x-5)(x+3)

d)

(x+5)(x+3)

103.

Factor x² + 7x + 12

a)

(x + 2)(x + 10)

b)

(x + 3)(x + 4)

c)

(x + 4)(x + 5)

d)

(x + 4)(x + 6)

104.

Factor:
x²+ 7x - 30

a)

(x + 10)(x - 7)

b)

(x - 10)(x + 3)

c)

(x + 10)(x + 3)

d)

(x + 10)(x - 3)

105.

Factor
a² - a - 12

a)

(a - 4)(a + 3)

b)

(a + 6)(a - 4)

c)

(a - 6)(a + 4)

d)

(a + 4)(a - 3)

106.

Factor:
p² - 14p

a)

p(1 - 14)

b)

2p(p - 7)

c)

p²(1-14)

d)

p(p - 14)

107.

x²- 16

a)

Prime

b)

( x - 4) ( x + 4)

c)

( x - 8) ( x + 8)

d)

( x - 4) ( x - 4)

108.

Factor:
x² - 5x

a)

1(x - 5)

b)

x(x - 5x)

c)

x(x - 5)

d)

x²(1 - 5)

109.

Factor Completely:
2k²-14k-60

a)

2(k-10)(k-3)

b)

Not Factorable

c)

(k-5)(k+9)

d)

2(k-10)(k+3)

110.

Factor Completely:
3x² + 18x +15

a)

3(x² + 6x + 5)

b)

(x + 5)(x + 1)

c)

3(x + 5)(x + 1)

d)

Prime

111.

Factor completely:
3x² + 5x - 12

a)

(3x + 4)(x-3)

b)

(3x - 4)(x + 3)

c)

(3x + 3)(x -4)

d)

(3x - 3)(x + 4)

112.

Factor:x²- 25

a)

( x + 5 ) ( x - 5 )

b)

( x - 5 ) ( x - 5 )

c)

( x + 5 ) ( x + 5 )

d)

Prime

113.

For the quadratic function x² - 17 + 30, which of these would be a factor:

a)

(x + 5)

b)

(x + 15)

c)

(x - 15)

d)

(x + 2)

114.

Which of the following is a correct factor for

3x² + 13x + 12

a)

(x + 4)

b)

(3x + 3)

c)

(3x + 4)

d)

(x + 6)

115.

Does this graph in the back have maximum or minimum value?

a)

maximum

b)

minimum

c)

neither

d)

both

116.

Is this a max or min?

a)

max

b)

min

c)

cannot be determined

117.

What is the vertex of this parabola?

a)

(−1, 3)

b)

(−3, 11)

c)

(−2, 5)

d)

(0, 5)

118.

What is the y-intercept of this parabola?

a)

(−1, 3)

b)

(−3, 11)

c)

(−2, 5)

d)

(0, 5)

119.

Where is the axis of symmetry for this parabola?

a)

x = −1

b)

x = 0

c)

y = 3

d)

x = −3

120.

Given the equation above, find h(-3).

a)

-13

b)

5

c)

-23

d)

23

121.

f(x)=7 means to plug 7 in for the ____ value.

a)

x

b)

y

122.

How many solutions does this graph have?

a)

one

b)

two

c)

no solutions

d)

cannot be determined

123.

Where does the graph cross the x-axis?

a)

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

b)

(0,-3)

c)

(0,0)

d)

(1.0)(0,3)

Algebra 1 9WKS 3 Review

Total questions: 123

Worksheet time: 2hrs 19mins

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