Free Printable Acc Alg Mid-Summer Quiz

1.

The sum of seven and x

a)

7-x

b)

x-7

c)

7x

d)

7+x

2.

A letter that represents a number.

a)

Addition

b)

Expression

c)

Algebra

d)

Variable

3.

Five less than y

a)

5+y

b)

5y

c)

5-y

d)

y-5

4.

A mathematical phrase that uses variables, numerals, and operation symbols.

a)

Algebra

b)

An equation

c)

An algebraic expression

d)

Something very scary

5.

The quotient of seven and w

a)

7/w

b)

7w

c)

w/7

d)

w7

6.

Twenty decreased by x

a)

20+x

b)

20/x

c)

x-20

d)

20-x

7.

A(n) __________________ is a number and/or variable that is separated by addition or subtraction.

a)

variable

b)

term

c)

coefficient

d)

expression

8.

A ______________ is a number multiplied by a variable.

a)

term

b)

variable

c)

coefficient

d)

numerical expression

9.

How many terms are in the given expression?
5² + 7n - 2f

a)

6

b)

5

c)

3

d)

2

10.

Name the constants in the expression:
3x + 8 + 6n + 4 + f

a)

3, 6

b)

3, 6, 1

c)

8, 4

d)

8, 3, 6

11.

Evaluate the expression. Let c = 3 d = 2
3c + 7d

12.

Evaluate the expression. Let a = 4
5a + 7a - 8

13.

Evaluate the expression. Let g = 3 h = 9
4h + 2g + 4

14.

6a - 3d
when a = 1, d = 2

15.

2x + 3 + x²; for x = 4

a)

17

b)

27

c)

19

d)

25

16.

8y + 12 - 2z
for y = 4 and z = 2

a)

40

b)

20

c)

84

d)

34

17.

Evaluate when x = 2 and y = 5:
2 + (12 - 5x) ⋅ 2y

a)

22

b)

40

c)

142

d)

-86

18.

a²- b²Evaluate if a=4 and b =2

a)

4

b)

20

c)

-4

d)

12

19.

What is the first step in solving this problem:
12 ÷ 6 (3) + 8

a)

multiplication

b)

addition

c)

division

d)

subtraction

20.

Identify the variable in the expression 5y+7?

a)

x

b)

5y

c)

y

d)

7

21.

When adding integers, if the signs are DIFFERENT you...

a)

Add the numbers and attach the sign of the number with higher absolute value

b)

Subtract the numbers and attach the sign of the number with higher absolute value

c)

Multiply the numbers and the sign is negative

d)

Take the absolute value of the numbers and add

22.

When multiplying or dividing a NEGATIVE and NEGATIVE number your result will be...

a)

POSITIVE

b)

NEGATIVE

c)

DEPENDS ON WHICH NUMBER IS LARGER.

23.

When multiplying or dividing a NEGATIVE and POSITIVE number your result will be...

a)

Positive

b)

Negative

c)

Depends on which is bigger.

24.

-8+(-2)

a)

-6

b)

-10

c)

10

d)

6

25.

Reorder the following from least to greatest

a)

-10

b)

-5

c)

0

d)

5

e)

10

1)

2)

3)

4)

5)

26.

$\left|-281\right|=$

27.

3(-7) (a)

Choose from the below words

-21

21

-4

4

28.

Solve $\frac{-81}{9}$ .

a)

10

b)

-10

c)

-9

d)

9

29.

-5-(-7)

a)

-12

b)

12

c)

2

d)

-2

30.

The high temperature Monday was 4 degrees. The low temperature was -7 degrees. What is the difference between the high and low temperatures?

a)

3 degrees

b)

12 degrees

c)

11 degrees

d)

10 degrees

31.

Find the value:
15 - 100

a)

-85

b)

100

c)

-100

d)

95

32.

-5 + (-3) =

33.

-7 + 5 =

34.

4 + (-3) =

35.

6 - (-3) =

36.

8 - 11 =

37.

-17 - 1 =

38.

$\frac{14}{-7\ }=$

39.

$\frac{-36}{9}=$

40.

-3(5) =

41.

(-7)(-7) =

42.

a)

2/12

b)

2/24

c)

1/12

d)

1/6

43.

a)

3/11

b)

21/38

c)

19/24

d)

3/16

44.

(a)

Choose from the below words

1/3

3

3/9

3/18

45.

a)

-4/3

b)

13/18

c)

4/3

d)

2/9

46.

a)

-3/5

b)

-8/14

c)

-1/12

d)

-7/24

47.

a)

1/40

b)

5 1/8

c)

6 3/8

d)

5/8

48.

a)

1/4

b)

9/16

c)

5/11

d)

6/24

49.

a)

6 3/20

b)

5 4/9

c)

6 4/15

d)

8 1/4

50.

a)

5/14

b)

2 1/3

c)

-1 1/3

d)

2 1/2

51.

It took Earl ½ hour to do his science homework and ⅓ hour to do his math homework. How long did Earl work on homework?

a)

⅖ hour

b)

⅙ hour

c)

⅚ hour

d)

⅕ hour

52.

The weight of an object on the moon is ⅙ its weight on Earth. If a bowling ball weighs 12½ pounds on Earth, how much would it weigh on the moon? (a)

Choose from the below words

2 1/12 pounds

11 1/3 pounds

12 1/12 pounds

13 2/3 pounds

53.

Roberto needs separate roofing tiles to be cut from one large tile. How many tiles that are each 14 ⅜ inches in length can he cut from the one large piece of tile that is 100 ⅝ inches long? (a)

Choose from the below words

86 1/4 tiles

7 tiles

7 3/4 tiles

115 tiles

54.

Evaluate

$x^4\times x^3=$

55.

Simplify

x⁰

56.

Simplify

$g^4\times g^7$

a)

g¹¹

b)

g³

c)

g¹⁴

d)

g²⁴

57.

$\left(f^{10}b^{23}\right)\left(f^2b^7\right)=$ (a)

Choose from the below words

$f^{12}b^{30}$

f^{20}b^{30}

f^{10}b^{18}

58.

Label all parts of the term

a)

Exponent

b)

Base

c)

Coefficient

1

2

3

1)

2)

3)

59.

Simplify

g^-5

a)

$g^5$

b)

$\frac{1}{g^{-5}}$

c)

$\frac{1}{g^5}$

d)

$\frac{g^5}{1}$

60.

Simplify

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

Choose from the below words

6x^4y^6

$9x^4y^6$

9x^4y^5

6x^4y^5

61.

Simplify

$\left(4x^3y^5\right)\left(3x^2y^6\right)$

62.

$\frac{4x^6}{2x_{ }^2}=$

63.

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

64.

Simplify

$\frac{4x^5c^{-7}}{x^2c^{-4}y^{-6}}$

65.

$\left(3x^4y^5\right)\left(5xy^2\right)$

66.

Simplify
$\left(4x^3y^2\right)^4$

67.

Simplify

$4x^0$

68.

Simplify

$3x^0$

69.

Simplify

$\frac{c^4x^6}{c^{12}x^4}$

70.

a)

7²

b)

7^1/2

c)

7^-2

d)

7^-1/2

71.

a)

4^4/3

b)

4^3/4

c)

2^4/3

d)

2^3/4

72.

a)

2^3/5

b)

-2^3/5

c)

2^5/3

d)

8⁵

73.

a)

7³

b)

7

c)

7^3/4

d)

7^4/3

74.

a)

216

b)

6^1/2

c)

6²

d)

6^3/2

75.

a)

2^1/6

b)

64

c)

6^1/2

d)

2⁶

76.

a)

5x^5/4

b)

5x^-5/4

c)

(5x)^-5/4

d)

(5x)^-4/5

77.

a)

(5x)^-2/1

b)

(5x)^2/1

c)

(5x)^-1/2

d)

(5x)^1/2

78.

a)

(6v)³

b)

6v^3/2

c)

(6v)^3/2

d)

(6v)^2/3

79.

a)

m^{- 2}

b)

m^{- 0.5}

c)

m^1/2

d)

m^0.5

80.

Simplify: 5(y + 10)

a)

5y + 50

b)

5y + 10

c)

5y + 15

d)

5y + 5

81.

Simplify: -9(x - 4)

82.

Match the following each expression with what it would be AFTER you distribute.

a)

6(x - 3)

1.

6x - 18

b)

6(x + 3)

2.

6x + 18

c)

-6(x - 3)

3.

-6x + 18

d)

-6(x + 3)

4.

-6x - 18

83.

Simplify: -4(2x - 5)

a)

-8x + 20

b)

-8x - 20

c)

-8x - 5

d)

-2x - 9

e)

-2x - 1

84.

Simplify: -6(3x - 9)

85.

Match each expression with what it would be AFTER you distribute.

a)

2(4x - 8)

1.

8x - 16

b)

2(4x + 8)

2.

8x + 16

c)

-2(4x - 8)

3.

-8x + 16

d)

-2(4x + 8)

4.

-8x - 16

86.

Simplify: 12 + 4(x - 5) + 7x

a)

12 + 4x - 20 + 7x

b)

11x - 8

c)

11x + 7

d)

3x - 8

87.

Simplify: -7 + 3(x - 8) - 8x + 3

88.

Simplify: 3x + 2y + 4(x - 2y) + 7

a)

7x - 6y + 7

b)

7x + 7

c)

7x + 10y + 7

d)

17xy + 7

e)

7x + 6y + 7

89.

Simplify: 2x - 6y + 3(2x - 5y) + 17

90.

What is the best first step to solve this equation

5 (x-4) + 3x -2 = 4 (2x-1)

(a)

Choose from the below words

Subtract 3x

Combine Like Terms

Distribute the 5 & 4

Add 2

91.

Solve for x

6 (x-1) = 6

(a)

Choose from the below words

x = 2

x = -2

x = 7

x = -7

92.

Write an equation

John and Mary decide to race. John has a 300 ft head start, and runs at a pace of 250ft per minute. Mary runs at a pace of 400 ft per minute. How long before Mary catches up to John?

a)

250 + 300m = 400

b)

300m + 400 = 250m

c)

250 + 400m = 300m

d)

300 + 250m = 400m

93.

Solve for x

2x - 12 = -5x +4x

a)

x = 3

b)

x = 4

c)

x = -3

d)

x = -4

94.

Write an equation

A bucket filled with 300oz of water is poured into an empty bucket at a rate of 7oz per second. How long before both buckets have the same amount of water?

a)

300x - 7 = 0

b)

300 - 7x = 7x

c)

7x = 300 - 7

d)

7x - 7x = 300

95.

Simplify

1/3 (6x + 9y - 15)

a)

6x + 9y - 15

b)

2x + 3y + 5

c)

3x + 3y - 3

d)

2x + 3y - 5

96.

Combine Like Terms

3a + 5b - 3 + 2 (a-4) - b

a)

5a + 4b - 11

b)

4a + 6b - 7

c)

6b - 11

d)

5a + 6b + 5

97.

Write & solve an equation

Bowman had 30 pieces of candy and gave away x pieces. Rose started with 40 pieces of candy and gave away twice as many pieces as Bowman. How many pieces did Bowman give away if they ended up with the same amount of candy left?

a)

40 + 2x = 30 + x

x= 3

b)

30 - x = 40 - 2x

x= -10

c)

30 - 2x = 40 - x

x= 3

d)

30 - x = 40 - 2x

x= 10

98.

Solve for x

12 = -4 (-6x - 3)

a)

x = 2

b)

x = 0

c)

x = -2

d)

not possible

99.

$\frac{x+6}{5}\ =\ 10$

What is the first step?

(a)

Choose from the below words

Subtract 6

Subtract 10

Multiply by 5

Divide by 5

100.

Simplify

- (x + 2) + 3x + 8

a)

4x + 10

b)

2x + 6

c)

-4x - 10

d)

16

101.

Write an equation

Christian has $1200 set aside in a savings account and earns $400 each week. If Christian donates $200 to charity, and spends $410 each week, how many weeks can he continue to spend without running out of money?

a)

1200 + 400w = 200 + 410w

b)

1200 - 400w = -200 + 410w

c)

1200w - 400 = 200w - 410

d)

1200 + 410w = 200 + 400w

102.

Reorder the following steps to solve for x

5(x-4) + 3x -1 = 10x -2

a)

Combine like terms

b)

Distribute the 5

c)

Subtract 8x

d)

Add 3

e)

Divide by 2

1)

2)

3)

4)

5)

103.

Solve for x

5x - (2x + 2) = 5

(a)

Choose from the below words

x = 1

x = 3

x = -1

x = 5

104.

Write an equation

Tamera has two amusement parks to choose from. The first charges $8 per hour, and they give a $3 student discount off the total price. The second charges $7.25 per hour. How many hours would Tamera have to stay at each park for the cost to be the same?

a)

3x + 8 = 7.25

b)

8x - 3 = 7.25x

c)

7.25x + 3x = 8

d)

8x + 3 = 7.25x

105.

Solve for x:

x + 2 = 10

106.

Solve for x:

5x = 30

107.

Solve for x:

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

108.

Match the following proportion to their correct x value.

a)

$\frac{x}{7}=\frac{9}{3}$

1.

x=21

b)

$\frac{x}{14}=\frac{9}{3}$

2.

x=42

c)

$\frac{14}{4}=\frac{x}{14}$

3.

x=49

d)

$\frac{14}{7}=\frac{x}{11}$

4.

x=22

e)

$\frac{14}{12}=\frac{7}{x}$

5.

x=6

109.

Reorder the following steps to correctly solve for x in the proportion.

$\frac{3}{x-1}=\frac{7}{x+7}$

a)

$7(x-1)=3(x+7)$

b)

$7x-7=3x+21$

c)

$7x-3x\ =21+7$

d)

$4x=28$

e)

$x=7$

1)

2)

3)

4)

5)

110.

Solve for x in the following proportion.

$\frac{x-9}{2}=\frac{x-2}{4}$

(a)

Choose from the below words

x=16

x=32

x=20

x=5

111.

Find the value of x.

$\frac{14}{x}=\frac{5}{10}$

x= (a)

Choose from the below words

28

140

30

7

112.

Solve for x.

$\frac{x}{8}=\frac{3}{6}$

113.

$\frac{x}{x-7}=\frac{13}{12}$

a)

x=1

b)

x=91

c)

x=5

d)

x=3

114.

$\frac{x-2}{8}=\frac{3}{2}$

(a)

Choose from the below words

x=16

x=14

x=15

x=12

115.

You come across a large rectangular door.

The ratio of height to length is 2 to 25.

A nearby door is 24 feet high, what is the length?

a)

300 feet

b)

600 feet

c)

27 feet

d)

cannot be determined

116.

Marsha and Jane work at a local grocery store.

Marsha earned $112 for 8 hours of work.

Jane earned $210. Write and solve a proportion to

find the amount of hours worked by Jane.

select two correct answers

a)

$\frac{112}{8}=\frac{210}{x}$

b)

$\frac{112}{8}=\frac{x}{210}$

c)

x=14

d)

x=15

e)

x=2,940

117.

Justify the steps in solving the following equation: $\frac{2}{5}x+6=10$
Reorder the following

a)

subtract 6 from both sides

b)

multiply both sides by 5

c)

divide both sides by 2

1)

2)

3)

118.

Which are examples and non-examples of literal equations.

Organize these options into the right categories

Categorize the following

$d=a$

$A=\frac{1}{2}bh$

$m+n=3p$

$-4x=20$

$10=\frac{1}{3}\left(y-6\right)$

$n+5=2n-14$

Example

Non-example

119.

Solve for g.

$s=\frac{1}{2}gt^2$

a)

$g=\frac{2s}{t^2}$

b)

$g=\frac{st^2}{2}$

c)

$g=2st^2$

d)

$g=\frac{1}{2}t^2$

120.

Solve for R.

$\frac{R}{a}-5=b$

a)

$R=a\left(b+5\right)$

b)

$R=\frac{b}{a}-5$

c)

$R=ab+5$

d)

$R=\frac{a}{b}+5$

121.

Solve for the indicated variable.

If there is $1500 invested is in a bank account after 4 years simple interest, the A is the amount of money in the account in 4 years is given by A = 1500(1 + r(4)).

What is r in terms of A?

a)

$r=\frac{\frac{A}{1500}-1}{4}$

b)

$r=\text{4}(A-1500)$

c)

$r=\frac{A\ +1500}{4}$

d)

$r=\frac{A-1500}{4}$

122.

Solve for x:

2/5 (x + 1) = g

x = (a)

Choose from the below words

$\frac{5}{2}g\ -1$

\frac{2}{5}\left(g+1\right)

\frac{2}{5}g\ +\frac{2}{5}

\frac{5g-1}{2}

123.

Solve for the indicated variable.

A = 1/2 h (b₁ + b₂) for h.

h = (a)

Choose from the below words

\frac{1}{2}A\left(b_1+b_2\right)

\frac{A-b_1-b_2}{2}

2Ab_1-2Ab_2

$\frac{2A}{b_1+b_2}$

124.

If $2000 is in a bank account earning 15% simple interest, the dollar value of the account A in t years is given by A = 2000(1 + 0.15t).What is t in terms of A?

t = (a)

Choose from the below words

\frac{\frac{A}{2000}-1}{0.15}

\frac{A-2000}{0.15}

\frac{2000A\ -\ 1}{0.15}

\frac{A}{0.15}-\frac{1}{2000}

Acc Alg Mid-Summer Quiz

Total questions: 124

Worksheet time: 5hrs 31mins

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