Free Printable Algebra 1

1.

^simplify 5x³2x²

a)

10x⁵

b)

3x

c)

10x⁶

d)

7x⁵

2.

Simplify to an equivalent expression BUT leave in exponent form.
4³⋅4⁵

a)

4⁸

b)

16⁸

c)

4¹⁵

d)

16¹⁵

3.

Simplify (2m⁴)(5m²)

a)

10m⁶

b)

10m⁸

c)

7m⁶

d)

7m⁸

4.

a)

-30x¹¹

b)

-30x¹⁸

c)

-x¹¹

d)

-x¹⁸

5.

a)

b)

16c³d³

c)

d)

6.

a)

b)

c)

3x⁴y

d)

7.

a)

b)

-7c⁹

c)

d)

8.

a)

b)

2x²z⁴

c)

3x²y⁵z⁴

d)

9.

a)

$\frac{27x^{15}z^3}{y^6}$

b)

$\frac{9x^{15}z^3}{y^6}$

c)

$27x^8yz^4$

d)

$\frac{27x^8z^4}{y}$

10.

$\left(\frac{-8p^{10}}{7r^3}\right)^{^2}$

a)

-64p²⁰/ 49r⁶

b)

64p²⁰/ 49r⁶

c)

-8p²⁰/ 14r⁶

d)

-64p¹²/ 49r⁵

11.

Rewrite using positive exponents

a)

2⁴

b)

1/2⁴

c)

4²

d)

1/4²

12.

Using exponents, simplify the following expression

a)

x^-7

b)

1/x⁷

c)

x⁷

d)

x^-9

13.

Write the equation that best matches the graph shown.

a)

y = 4x

b)

y = 4x - 3

c)

y = 4/3 x + 4

d)

y = 4/3 x - 3

14.

Write the equation of the line.

a)

y= -1x-3

b)

y= -3x-1

c)

y=(-1/3)x-1

d)

y= -3x-3

15.

Which equation matches the table below?

a)

y = 3x - 6

b)

y = -3x + 6

c)

y = 3x + 6

d)

y = -3x - 6

16.

Which equation best represents the relationship between x and y in the table shown?

a)

y=5x + 10

b)

y=1/5x+5

c)

y= 5x+5

d)

y=10x+5

17.

What is the algebraic equation for the following table?

a)

y = x + 3

b)

y = 3x

c)

y = x ÷ 3

d)

y = x - 3

18.

Which equation matches the table?

a)

y = 3x + 9

b)

y = x + 9

c)

y = x + 3

d)

y = 12x - 3

19.

What is the equation for the table?

a)

y =1/4x -3

b)

y =4x - 3

c)

y = -3x -3

d)

y =-2x -3

20.

Write the slope-intercept form of the equation between (0, 1) and (4, 4)

a)

y = -1/4x + 1

b)

y = -5/4x - 1/4

c)

y = x - 1/4

d)

y = 3/4x + 1

21.

Write the equation of the line in slope-intercept form through (4, 5) and (2, -1)

a)

y = -7x - 1

b)

y = 3x - 7

c)

y = -x - 7

d)

y = 7x - 1

22.

Write the equation of the line in slope-intercept form through (-5, 1) and (-1, 5)

a)

y = 4x + 6

b)

y = x + 6

c)

y = -x + 6

d)

y = 6x + 1

23.

Write the equation of the line in slope-intercept form through (0, -2) and (1, -3)

a)

y = -3x - 2

b)

y = -2x - 3

c)

y = x - 2

d)

y = -x - 2

24.

Write the equation of the line in slope-intercept form through (-4, -5) and (-5, -1)

a)

y = -21x + 1

b)

y = -4x - 21

c)

y = -x + 1

d)

y = x - 21

25.

Find the product:
(3x + 2)(2x + 4)

a)

6x² + 16x + 8

b)

5x² +11x + 6

c)

5x² + 16x + 6

d)

6x² + 11x + 8

26.

Multiply:
(3x – 1)(x + 5)

a)

3x² + 4x + 5

b)

3x² + 4x - 5

c)

3x² + 14x + 5

d)

3x² + 14x - 5

27.

Multiply: (r + 7)(r − 7)

a)

r ²− 49

b)

r ²+ 14

c)

r ² − 7r + 49

28.

a)

A

b)

B

c)

C

d)

D

29.

a)

A

b)

B

c)

C

d)

D

30.

a)

A

b)

B

c)

C

d)

D

31.

a)

A

b)

B

c)

C

d)

D

32.

a)

A

b)

B

c)

C

d)

D

33.

Simplify:
(x - 9)(x - 7)

a)

x² - 2x - 63

b)

x² - 16x - 63

c)

x² - 2x + 63

d)

x² - 16x + 63

34.

What is the area of this rectangle?

a)

48

b)

$8x^2+14x+6$

c)

$8x^2+x+5$

d)

$2x^2+6x+8$

35.

Write in standard form:

2x\left(x+3\right)

a)

$3x+6$

b)

$2x^2+6$

c)

$2x^2+6x$

d)

$8x$

36.

What goes in the missing spot?

a)

3

b)

-3

c)

3x

d)

-3x

37.

What goes in the missing spot?

a)

3x

b)

3x²

c)

-3x

d)

-3x²

38.

What goes in the missing spot?

a)

7

b)

-7

c)

7x

d)

-7x

39.

What goes in the missing spot?

a)

6x

b)

6

c)

9x

d)

9

40.

What goes in the missing spot?

a)

10

b)

-10

c)

21

d)

-21

41.

What is the answer?

a)

3x² + 2x - 21

b)

3x² - 2x - 21

c)

3x² + 16x - 21

d)

3x² - 16x - 21

42.

What goes in the missing spot?

a)

2

b)

1

c)

x

d)

x²

43.

Write a linear equation in the form of y=mx+b

a)

y = -2x - 3

b)

y = 2x - 3

c)

y = 3x -2

d)

y= -3x -2

44.

Write a linear equation in the form of y=mx+b

a)

y = 2x + 3

b)

y = -2x + 3

c)

y = 2x -3

d)

y = 3x - 4

45.

What is the y-intercept?

a)

-34

b)

-24

c)

0

d)

-3

46.

What is the y-intercept?

a)

-21

b)

-17

c)

1/4

d)

4

47.

Simplify

x⁻⁶

a)

$\frac{1}{x^6}$

b)

x⁶

c)

-x⁶

d)

$\frac{-1}{x^6}$

48.

Rewrite using a positive exponent.

g^-7

a)

$\frac{1}{g^7}$

b)

$g^7$

c)

$\frac{1}{g^{-7}}$

49.

Rewrite using a positive exponent.

2w^-13

a)

-w¹³

b)

$\frac{2}{w^{13}}$

c)

$\frac{2}{w^{-13}}$

d)

$2w^{13}$

50.

Simplify

a)

$\frac{7a^5}{b^3}$

b)

$\frac{b^3}{7a^5}$

c)

$\frac{7b^3}{a^{-5}}$

d)

$\frac{7b^3}{a^5}$

51.

Write with positive exponents:

a)

a^-2

b)

a²

c)

$\frac{1}{a^2}$

52.

Simplify the expression so that it contains only positive exponents.

a)

b)

c)

d)

53.

Simplify the expression so that it contains only positive exponents.

a)

b)

c)

d)

54.

Simplify. Hint: do product rule first, then negative rule!

a)

$42x^5$

b)

$\frac{42}{x^5}$

c)

$\frac{42}{x^{-5}}$

d)

$\frac{1}{42x^5}$

55.

What is the domain of this function?

a)

All Real Numbers

b)

-1 ≤ x ≤ 1

c)

-1 ≤ f(x) ≤ 1

d)

2

56.

What is the range of this function?

a)

All Real Numbers

b)

-1 ≤ x ≤ 1

c)

-1 ≤ f(x) ≤ 1

d)

1 ≥ x

57.

What is the domain of the graph?

a)

y≥1

b)

x ≥ 1

c)

All real numbers

d)

none of these

58.

Is this relation a Function?

a)

Yes

b)

No

c)

I Don't Know

59.

What is the Range?

a)

y ≥ 6

b)

y ≤ 6

c)

-10 ≤ y ≤ 6

d)

-10 ≤ x ≤ 6

60.

$\left|x+10\right|=11$

a)

3, -3

b)

4, -4

c)

1, -21

d)

0, -2

61.

$\left|-3x-6\right|=15$

a)

$-7$

b)

$-7,\ 3$

c)

$\frac{26}{3},\ -10$

d)

$-\frac{20}{3},\ 4$

62.

$\left|4+2x\right|-1=19$

a)

$-\frac{8}{7}$

b)

$8,\ -12$

c)

$no\ solution$

d)

$\frac{1}{5},\ -\frac{8}{5}$

63.

$\left|x-1\right|+2=10$

a)

$6,\ -6$

b)

$9,\ -7$

c)

$-5,\ 5$

d)

$13,\ 5$

64.

|x+7|=12

a)

x = -5, x = 19

b)

x = 5, x = -19

c)

x = 5, x = -5

d)

x = 12, x = -7

65.

8|-2x + 4| = 96

a)

x = -4, x = 8

b)

x = -4

c)

x = -4, x = -8

d)

x = 4, x = 8

66.

|−2n| + 10 = −50

a)

{30, -30}

b)

{20,-20}

c)

{-5,5}

d)

No Solution

67.

∣ 2x + 9 ∣ = 15

a)

x = 3

b)

x = 3
x = -6

c)

x = 3
x = -12

d)

x = 6
x = -12

68.

Solve for x
l 5x l = 40

a)

x = 8 and x =-8

b)

x = 35 and x = -35

c)

Only x = 8

d)

No Solution

69.

Solve for a.

a)

a = pw

b)

a = p/w

c)

a = w/p

d)

a = w + p

70.

IR = V
(solve for R)

a)

R = IV

b)

R = ^I/_V

c)

R = ^V/_I

d)

R = V - I

71.

Solve:
y = mx + b , for b

a)

y - mx = b

b)

y + mx = b

c)

^y/_mx = b

d)

y + mx = -b

72.

a)

a

b)

b

c)

c

d)

d

73.

a)

a

b)

b

c)

c

d)

d

74.

a)

a

b)

b

c)

c

d)

d

75.

$Solve:\ C=2\pi r,\ for\ r$

a)

$r=\frac{C}{2\pi}$

b)

$r=C+2\pi$

c)

$r=C-2\pi$

d)

$r=2\pi C$

76.

$Solve\ C=\frac{5}{9}\left(F-32\right),\ for\ F.$

a)

$F\ =\ \frac{5}{9}C+32$

b)

$F\ =\ \frac{5}{9}C-32$

c)

$F\ =\ \frac{9}{5}C-32$

d)

$F\ =\ \frac{9}{5}C+32$

77.

$Solve\ 3b=6v-3b,\ for\ b.$

a)

$6b-6$

b)

$b-6$

c)

$0$

d)

$6$

78.

a)

A

b)

B

c)

C

d)

D

79.

Solve the literal equation for the given variable.

a)

$b=\frac{2A}{h}$

b)

$b=\frac{2}{h}$

c)

b= 2Ah

d)

$b=\frac{Ah}{2}$

80.

a)

g = (2.5+h)f

b)

g=1

c)

$g=\ \frac{f\left(5+h\right)}{2}$

d)

$g=\frac{\left(5f+h\right)}{2}$

81.

Solve the literal equation for the given variable.

a)

$\frac{1000C}{tc}=W$

b)

$\frac{1000}{t}=W$

c)

1000 - t = W

d)

0 = W

82.

4(x + 8) - 4 = 34 - 2x

a)

x = 1

b)

x = 2

c)

x = 3

d)

x = 4

83.

8x + 4 = 4(2x + 1)

a)

No Solution

b)

Zero Solution

c)

Infinitely Many Solutions

84.

Solve.

24k-72=3(8k-16)

a)

x = 3

b)

x = -3

c)

no solutions

d)

all real numbers

85.

2(x + 6) + 3 = 9 + 5x

a)

16

b)

2

c)

-8

d)

-10

86.

Solve the equation

4x - 5x + 9 =5x - 9

a)

x = -3

b)

x = 9

c)

x = 3

d)

x = -9

87.

-6(1 - 6r) = -2(r + 3)

a)

14

b)

0

c)

-11

d)

4

88.

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

a)

y = -4

b)

y = 9

c)

y = 4

d)

y = 36/19

89.

Is this mapping a function or not a function?

a)

Function

b)

Not a Function

90.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

91.

Which graph does NOT pass the vertical line test?

a)

Graph 1

b)

Graph 2

c)

Graph 3

d)

Graph 4

92.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

93.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

94.

Is the graph a function or not a function?

a)

function

b)

not a function

c)

There is no answer

95.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

96.

What is the Domain of this linear function?

a)

-3 < x ≤ 5

b)

x = -1

c)

5 < x ≤ -3

d)

-2 < x ≤ 6

97.

What is the range of the graph?

a)

1 ≤ x ≤ 5

b)

1 < x < 5

c)

1 ≤ y ≤ 5

d)

1 < y < 5

98.

What is the range of the graph?

a)

-7 ≤ x < 5

b)

-3 ≤ x < 1

c)

-3 ≤ y < 1

d)

-7 ≤ y < 5

99.

What is the range?

a)

x≥0

b)

y≥0

c)

All real numbers

d)

{0, 1, 2, 3, 4,...}

100.

What is the Domain?

a)

-3 < x ≤ 3

b)

-4 ≤ x < 5

c)

-4 ≤ y ≤ 5

d)

-3 < y ≤ 3

101.

What is the domain of the function?

a)

x>3

b)

x≥-3

c)

y≤4

d)

y<4

102.

What is the range of the graph?

a)

(-∞,∞)

b)

[0,∞)

c)

(0,5)

d)

[-1,∞)

103.

RANGE is found by reading the ends of a graph from ___ to ___.

a)

Right to left

b)

Left to right

c)

Bottom to top

d)

Top to bottom

104.

DOMAIN is found by reading the ends of a graph from ___ to ___.

a)

Right to left

b)

Left to right

c)

Bottom to top

d)

Top to bottom

105.

In interval notation, positive and negative ∞ are always closed in by ______.

a)

( ) Parentheses

b)

[ ] Square Brackets

c)

{ } Curly Brackets

106.

What is the range of the graph?

a)

[-15, 9]

b)

(-∞, ∞)

c)

(-15, ∞)

d)

[-15, ∞)

107.

What is the domain of the graph?

a)

[ -∞, ∞]

b)

(-∞,∞)

c)

[-3 , 3]

d)

[-15, 9]

108.

What is the range of the graph?

a)

[1, ∞)

b)

(1, ∞)

c)

(-∞, ∞)

d)

none of these

109.

What is the domain of the graph?

a)

[1,∞)

b)

(-∞,1]

c)

(-∞,∞)

d)

[-∞,∞]

110.

What is the range?

a)

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

b)

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

c)

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

d)

None of the answer choices

e)

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

111.

What is the domain?

a)

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

b)

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

c)

[-2,3]

d)

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

e)

None of the answer choices

112.

What is the domain?

a)

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

b)

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

c)

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

d)

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

e)

None of the answer choices

Algebra 1 - Unit 3 Review

Total questions: 112

Worksheet time: 7hrs 45mins

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