Free Printable Algebra 1 Midterm Review

1.

What does "product" mean?

a)

Multiply

b)

Divide

c)

Add

d)

Subract

2.

Translate this phrase into an algebraic expression.

8 less than the product of 4 and a number

Use the variable m to represent the unknown number.

a)

8 − 4m

b)

8m − 4

c)

8m + 4

d)

4m − 8

3.

Write an algebraic expression for:

three times a number plus 16

a)

3(16) + n

b)

16n + 3

c)

3n + 16

4.

What does "difference" mean?

a)

add

b)

subtract

c)

multiply

d)

divide

5.

Translate: two times the sum of a number and five

a)

2 + y + 5

b)

2y + 5

c)

2(y + 5)

d)

2 − y + 5

6.

Translate the phrase into an algebraic expression

"57 more than 3 times Kate's score" Use the variable g to represent Kate's score.

a)

57g + 3

b)

3g + 57

c)

3g − 57

d)

57 + 3g

7.

Which of the following expressions would need parentheses?

a)

4 times the difference of a number and 8

b)

Five times a number increased by 7

c)

4 times a number

d)

15 less than a number multiplied by 12

8.

3y Choose two matching statements

a)

three times y

b)

three plus y

c)

the product of three and y

d)

three divided by y

9.

The sum of a number x and a number y, cubed

a)

x + y³

b)

x + y²

c)

(x + y)²

d)

(x + y)³

10.

Pick the correct sequence of steps for Order of Operations:

a)

Parentheses, Multiplication/Division, Addition/Subtraction, Brackets, Braces

b)

Multiplication/Division, Addition/Subtraction, Parentheses, Brackets, Braces

c)

Parentheses, Brackets, Braces, Multiplication/Division, Addition/Subtraction

d)

Parentheses, Braces, Brackets, Addition/Subtraction, Multiplication/Division

11.

What would be my first step? 3 + 4 x 6 - 4 =

a)

Addition

b)

Multiplication

c)

Subtraction

d)

Division

12.

(7 + 41) ÷ 2 – 15 =

a)

19

b)

9

c)

25

d)

3

13.

18 + (6 – 2) × 2 =

a)

26

b)

29

c)

44

d)

40

14.

15 + 7 × 2 – 11 + 35=

a)

38

b)

251

c)

53

d)

50

15.

(82 ÷ 2) × 3 – 17 =

a)

206

b)

100

c)

106

d)

5

16.

Solve: 3⁴

a)

12

b)

9

c)

81

d)

28

17.

Solve: (2×10)+4

a)

20

b)

26

c)

7

d)

24

18.

3²+4²-(4x2)

a)

14

b)

9

c)

9

d)

17

19.

Which of these illustrates the associative property of multiplication?

a)

^{4 x (5x6) = (4x5) x 6}

b)

^{6 (9+1) = (6x9) + (6x1)}

c)

^{4 x (56) = (45) x 6}

d)

5 + 0 = 0 + 5

20.

What property deals with ORDER?

a)

Distributive

b)

Identity

c)

Commutative

d)

Associative

21.

What property deals with GROUPING?

a)

Identity

b)

Distributive

c)

Commutative

d)

Associative

22.

7 * (1/7) = 1

a)

Multiplicative Identity

b)

Commutative Property

c)

Multiplication Property of Equality

d)

Multiplicative Inverse

23.

5(0) = 0

a)

Multiplicative Property of Zero

b)

Addition Property of Addition

c)

HBO

d)

COW

24.

5(8 + 7) = (5 ^_x 8) + (5 ^_x 7)

a)

Multiplicative Inverse

b)

Distributive Property

c)

Additive Identity

d)

Associative Property of Multiplication

25.

a)

Function

b)

Not a Function

26.

Is this table a function or not a function?

a)

Function

b)

Not a Function

27.

Is this table a function or not a function?

a)

Function

b)

Not a Function

28.

Does the graph represent a function?

a)

Yes, because the vertical line test shows there are no repeating input values

b)

No, because the vertical line test shows there are repeating input values

29.

Is this a function?

a)

Yes

b)

No

30.

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}

d)

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

31.

For the function f(x) = -3x + 3 find f(0).

a)

0

b)

-3

c)

3

d)

-1

32.

Evaluate f(-2) if f(x) = x²+ 3.

a)

-1

b)

1

c)

7

d)

-7

33.

Solve for f(5):
f(5) = -x + 4

a)

9

b)

1

c)

-1

d)

-9

34.

Given f(x) = 3(6 -x), what is the value of f(-8)

a)

-42

b)

6

c)

-6

d)

42

35.

If f(x) = 2x+1, what would the function look like once you substitute in a 1 to find f(1)?

a)

f(x) = 21+1

b)

f(1) = 2 (1) + 1

c)

f(1) = 2x (1) + 1

36.

If f(x) = -3x - 8, find f(-1).

a)

f(-1) = 5

b)

f(-1) = -5

c)

f(-1) = -12

d)

f(-1) = -10

37.

How many minutes did Justin travel at 6 mph?

a)

20

b)

10

c)

30

d)

0

38.

b - 14 = 62

a)

b = -76

b)

b = 76

c)

b = -48

d)

b = 48

39.

$\frac{c}{-9}\ =\ -8$

a)

c = -1

b)

c = 1

c)

c = -72

d)

c = 72

40.

2x = 5

a)

x = $\frac{5}{2}$

b)

x = 10

c)

x = -10

d)

x = $\frac{2}{5}$

41.

3x - 10 = 14

a)

x = $\frac{4}{3}$

b)

x = 8

c)

x = 134

d)

x = 24

42.

17 = 3x + 2

a)

x = 7

b)

x = 65

c)

x= $\frac{19}{3}$

d)

x = 5

43.

-4x + 9 = 41

a)

x = $\frac{25}{2}$

b)

x = -128

c)

x = -8

d)

x = 200

44.

$21=3+4n+5n$

a)

9

b)

$-7$

c)

6

d)

2

45.

$-2v\ +\ v\ =\ 3$

a)

4

b)

$-5$

c)

$-3$

d)

5

46.

$96=6\left(k+8\right)$

a)

$12$

b)

$8$

c)

$-4$

d)

$9$

47.

$97=-3\left(6n-5\right)-8$

a)

$-10$

b)

$16$

c)

$-5$

d)

$-2$

48.

4 = 2(x + 3)

a)

1/2

b)

7/2

c)

-1

d)

5

49.

10(h+1) - 4 = 76

a)

h=10

b)

h=4

c)

h=7

d)

h=76

50.

2x - 3 + 4x = 27

a)

12

b)

4

c)

5

d)

15

51.

What is the first step to solve this equation:
11 - 3x = 44

a)

Add 3 to both sides

b)

Subtract 11 from both sides

c)

Add 11 to both sides

d)

Divide 3 on both sides.

52.

The objective when solving an equation is to....

a)

isolate the variable.

b)

check the solution.

c)

guess and check.

d)

Combine Like Terms.

53.

Solve: 4k + 39 = 7k + 6

a)

k = 11

b)

k = 3

c)

k = -3

d)

k = -11

54.

Solve: 14y + 5 = 8y - 1

a)

y = 1

b)

y = -1

c)

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

d)

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

55.

Solve: 46 - 8p = 19 + p

a)

p = -3

b)

p = 7

c)

p = 3

d)

p = 9

56.

Solve: 8b + 10 = 3b + 25

a)

b = -3

b)

b = 5

c)

b = 7

d)

b = 3

57.

Solve: 25x = 90 - 5x

a)

x =4.5

b)

x = -4.5

c)

x = -3

d)

x = 3

58.

Solve: 5k + 21 = 17k - 3

a)

k = -2

b)

k = 2

c)

k = 1.5

d)

k = -1.5

59.

Solve: 15y + 5y - 6 = 17y

a)

y = 2

b)

y = -2

c)

y = 9

d)

y = -31

60.

Solve: 7h = 8h - 5 + 4h

a)

h = 5

b)

h = 0

c)

h = -1

d)

h = 1

61.

Solve for z

11 = 6|-2z|- 5

a)

+4/3, -4/3

b)

1/2, -1/2

c)

-4/3, 1/2

d)

5.5, -5.5

62.

Solve for p

-6|-8p - 7| = -15

a)

-19/16, -9/16

b)

1/4, -3.5

c)

9/16, -9/16

d)

-19/16

63.

Solve for k.

|k - 9| = 4

a)

5, 13

b)

-5, -13

c)

5, -5

d)

13

64.

How many solutions does the equation have?

4|m| = -20

a)

no solution

b)

one solution

c)

two solutions

65.

solve for z.

|-4z|=7

a)

-7/4, 7/4

b)

-7/4

c)

11, 3

d)

-11, -3

66.

Solve the following equation:

|−4 + 5x| = 16

a)

{16/5,12/5}

b)

{4, −5}

c)

{−12/5, 4}

d)

{4}

67.

Solve the following equation:

∣ 2x + 9 ∣ = 15

a)

x = 3

b)

x = 3, x = −6

c)

x = 3, x = −12

d)

x = 6, x = −12

68.

Solve the following equation:

|−2n| + 10 = −50

a)

{30, −30}

b)

{20, −20}

c)

{−5, 5}

d)

No Solution

69.

Solve the following equation:

−2|−2r − 4| = −12

a)

{3, 1}

b)

{−5, 1}

c)

{−5, 5}

d)

No Solution

70.

Solve the following equation:

3| −8x| + 8 = 80

a)

{−7/3, 7/3}

b)

{−3, 3}

c)

{11/3, −11/3}

d)

No Solution

71.

a)

3

b)

5.3

c)

1.08

d)

27

72.

Solve the proportion.

a)

k=5

b)

k=3.3333333

c)

k=60

d)

k=90

73.

Solve the proportion.

a)

p=31.3

b)

p=308

c)

p=924

d)

p=532

74.

Solve for x

a)

1/2

b)

25/8

c)

11

d)

53/4

75.

Solve for a

a)

29/12

b)

41/12

c)

107/12

d)

13

76.

Solve the proportion

a)

x = -1/3

b)

x = 1/3

c)

x = -3/4

d)

x = 3/4

77.

Solve for b

a)

8

b)

17/12

c)

4/3

d)

1/8

78.

Solve for x:

a)

x = yb - v

b)

x = by - v

c)

x = by + v

79.

S = 3F - 24 Solve for F

a)

F = (S + 24)/3

b)

F = S/3 + 24

c)

F = 3S + 24

d)

F = 3(S + 24)

80.

8x + 4y= 16 for y

a)

y = -8x + 16

b)

y = 2x -4

c)

y = -2x + 4

d)

y = -8x + 12

81.

Solve for s:
2s = 6t + 8w

a)

s = 12t + 16w

b)

s = 6t + 4w

c)

s = 3t - 4w

d)

s = 3t + 4w

82.

Solve the formula for b. What is the 1st step?

a)

Subtract h from each side.

b)

Add h to each side.

c)

Divide each side by h.

d)

Multiply each side by 2.

83.

Solve the formula for r. What is the 1st step?

a)

Divide each side by t.

b)

Subtract t from each side.

c)

Add t to each side.

d)

Multiply each side by t.

84.

Solve the literal equation for the given variable.

a)

2A/h

b)

2/(h)

c)

2Ah

d)

Ah/2

85.

Solve for w:
A = LW

a)

A =^L/_W

b)

w = ^L/_A

c)

w = A

d)

w = ^A/_L

86.

a)

h=V/(3πr²)

b)

h=(3V)/(πr²)

c)

h=V/(3πr²)

d)

h=(3π)/(Vr²)

87.

Which function matches the values in the table?

a)

f(x) = x + 5

b)

f(x) = 5x

c)

f(x) = x - 5

d)

f(x) = y - 5

88.

Which function represents the values in the table?

a)

$f\left(x\right)=2x\ -\ 3$

b)

$f\left(x\right)\ =\ 2x$

c)

$f\left(x\right)=\frac{1}{2}x-3$

d)

$f\left(x\right)=3x-8$

89.

Identify the x-intercept of the graph.

a)

(-4, 0)

b)

(0, -2)

c)

(0, -4)

d)

(-2, 0

90.

Identify the y-intercept of the graph.

a)

(0, 3)

b)

(-1, 0)

c)

(0, -1)

d)

(3, 0)

91.

Identify the graph with a x-intercept of 3 and a y-intercept of - 1

a)

b)

c)

d)

92.

Identify the graph with a x-intercept of -2 and y-intercept of 2

a)

b)

c)

d)

93.

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

a)

x - int = 4
y-int = -10

b)

x-int = 5
y-int = 2

c)

x - int = 5
y int = -2

d)

x -int = 4
y -int = -10

94.

Determine the y-intercept for the following equation
4x + 2y = -12

a)

4

b)

-6

c)

-12

d)

2

95.

Find the slope

a)

-5/3

b)

-3/5

c)

5/3

d)

3/5

96.

Find the slope:

a)

3/4

b)

4/3

c)

-3/4

d)

-4/3

97.

Find the slope of the line.

a)

-2

b)

2

c)

-1

d)

1

98.

Find the slope of the line that passes through:
(2, 4) and (6, 12)

a)

1/2

b)

-1/2

c)

2

d)

-2

99.

Find the slope of the line that passes through:
(10, 1) and (5, 2)

a)

1/5

b)

-1/5

c)

5

d)

-5

100.

Find the zero(s) of the function.

a)

x = -3

b)

x = 1

c)

x = {-3, 1}

d)

y = 1

101.

Find the zero(s) of the function.

a)

x = 1

b)

x = -3

c)

x = {-1, 3}

d)

x = 2

102.

Find the root(s) of the function.

a)

x = 3

b)

x = {-3, -1, 2}

c)

x = {-3, 2}

d)

x = -1

103.

Find the zero(s) of the function.

a)

x = -3

b)

x = 3

c)

x = -12

d)

x = 12

104.

Find the solution(s) of the function.

a)

x = 2

b)

x = -2

c)

x = 18

d)

x = -9

105.

Find the zero(s) of the function.

a)

x = 10

b)

x = -10

c)

x = -8/5

d)

x = 8/5

106.

The graph of a linear function is always straight?

a)

true

b)

false

107.

What does "m" represent in y=mx+b?

a)

y-intercept

b)

slope

c)

macaroni

d)

nothing

108.

Which of these following is not a type of slope

a)

positive

b)

negative

c)

undefined

d)

all of these are types of slope

109.

What is the slope of the line represented by the equation y = 7 - x?

a)

7

b)

0

c)

1

d)

-1

110.

What is 'b' in this linear equation? y= 5x - 6

a)

6

b)

5

c)

y

d)

-6

111.

What is the equation by looking at this graph?

a)

y= x + 3

b)

y= -x + 2

c)

y= 2x + 2

d)

y= x + 2

112.

whats the slope of the function y=2/3x+6

a)

2/3

b)

3/2

c)

6

d)

-4

113.

what is the slope of the following 12x - 6y = 30

a)

2

b)

-2

c)

12

d)

-12

114.

what is the slope intercept form for the equation -2x + 8y = 2

a)

y = -2x + 8

b)

y = 1/4x + 1/4

c)

y = -1/4x - 1/4x

d)

y = 2/8x + 4

115.

which of the following is the best first step to solve for y = mx +b? equation is -2x - 4y = -12

a)

add 4y to both sides

b)

subtract 2x from both sides

c)

add 2x to both sides

d)

divide by -4

116.

a)

y=-3x+1

b)

y=3x+1

c)

y=1/3x+1

d)

y=-1/3x-1

117.

Use the graphs of f and g to describe the transformation from the graph of f to the graph of g.

a)

The graph of g is a vertical translation 2 units up of the graph of f

b)

The graph of f is a horizontal translation two units left of g

c)

The graph of g is a vertical stretch by a factor of 2 of the graph of f

d)

The graph of g is a reflection of the graph of f

118.

Use the graphs of f and g to describe the transformation from the graph of f to the graph of g.

a)

The graph of g is a vertical translation 4 units up from the graph f

b)

The graph of g is a horizontal translation of the graph of f, 4 units right

c)

The graph of g is a horizontal translation of the graph of f, 4 units left

d)

The graph of g is a vertical stretch of the graph of f, by a factor of 7

119.

Which transformation on

f(x) = x

is g(x) = -f(x)

a)

Reflection across the y-axis

b)

The slope will be less steep

c)

The graph will be wider

d)

Reflection across the x-axis.

120.

A slide is also called a _________.

a)

Translation

b)

Reflection

c)

Rotation

d)

Transformation

121.

A turn is also called a ___________.

a)

Translation

b)

Reflection

c)

Rotation

d)

Transformation

122.

Is the sequence arithmetic: -3, 3, -3, 3, ...

a)

Yes

b)

No

123.

Is the sequence arithmetic: 17, 9, 1, -7, ...

a)

Yes

b)

No

124.

Find the common difference: -34, -29, -24, -19, ...

a)

d = -5

b)

d = 5

c)

d = -6

d)

d = 6

125.

Find the common difference: 29, 21, 13, 5, ...

a)

d = -10

b)

d = -9

c)

d = -8

d)

d = -7

126.

Find the next three terms in the arithmetic sequence: -33, -24, -15, -6, ...

a)

-1, 7, 15

b)

-5, 2, 9

c)

3, 12, 21

d)

-65, -73, -81

127.

Find the next three terms in the arithmetic sequence: 25, 34, 43, 52, ...

a)

63, 72, 81

b)

79, 88, 97

c)

70, 79, 88

d)

61, 70, 79

128.

Find a₂₆ in the arithmetic sequence: -15, -35, -55, -75, ...

(Hint: Write the explicit rule first, then use it to solve)

a)

-515

b)

-490

c)

-535

d)

460

129.

Find the 35th term in the arithmetic sequence: -10, -14, -18, -22, ...

(Hint: Write the explicit rule first, then use it to solve)

a)

-216

b)

-148

c)

-146

d)

-150

130.

Find the 32nd term of this sequence.

34, 37, 40, 43, ...

(Hint: Write the explicit rule first, then use it to solve)

a)

32

b)

64

c)

127

d)

356

131.

Given the sequence:

25, 21, 17, 13,...

Write the explicit equation that models the sequence.

a)

a_n = 25 + (n-1)4

b)

a_n = 29 + (n-1)(-4)

c)

a_n= 25 +(n-1)(-4)

d)

a_n = 29 +(n-1)(4)

Algebra 1 Midterm Review

Total questions: 131

Worksheet time: 6hrs 34mins

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