Free Printable Summer School Review

1.

What is the simplified form of this expression
3x+4+5x+3

a)

15x

b)

8x+7

c)

7x+8

2.

Add these expressions
(3x+15) + (4x+13)

a)

7x+ 28

b)

35x

c)

x+2

3.

Maria has 25 dollars. She has to buy a gallon of milk which costs $3.50. She wants to spend the rest of her money on cereal. If each box of cereal costs $4.50, how many can she purchase?

a)

4 boxes

b)

5 boxes

c)

6 boxes

d)

7 boxes

4.

Solve
-5t + 9 = 24

a)

t = -3

b)

t = 3

c)

t = 6

d)

t = 12

5.

Solve 12 - 6y = 24

a)

2

b)

-2

c)

3

d)

-3

6.

3x + 10(1 – 7x)

a)

13x – 7

b)

–67x + 10

c)

–4x + 10

d)

–73x + 10

7.

–2n + 5(–3 + 3n)

a)

–15 + n

b)

17n – 15

c)

13n – 15

d)

–17n + 3

8.

Simplify by combining like terms:
5a + 2b - 3a + 4

a)

8a + 2b + 4

b)

2a + 2b + 4

c)

8ab

d)

4ab + 4

9.

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

a)

27

b)

21

c)

29

d)

23

10.

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

a)

Subtract 11 from both sides

b)

Divide - 3 on both sides

c)

Add 3 to both sides

d)

Add 11 to both sides

11.

Solve:
7x - 3x - 8 = 24

a)

8

b)

-8

c)

3.2

d)

4

12.

-6(8x-7)=522

a)

x=-10

b)

x=109

c)

x=10

d)

x=4

13.

Which expression represents the area?

a)

6x + 3

b)

8x + 12

c)

8x² + 12

d)

8x + 3

14.

Which expression represents the area of the rectangle?

a)

12x - 2

b)

12x - 1

c)

8x - 2

d)

36x² - 2

15.

Evaluate the expression:
15f - 60 if f = 5

a)

15

b)

95

c)

30

d)

-45

16.

Identify the coefficient(s) in the expression 2x + 4 - x + 3x,

a)

4

b)

x

c)

2 and 3

d)

2, 4, and 3

17.

Use the distributive property to simplify 2(x + 4)

a)

2x + 4

b)

2x + 8

c)

10x

d)

x² + 8

18.

Evaluate using correct order of operations

12 - 2 ⋅ 4

a)

4

b)

46

c)

40

19.

Evaluate using correct order of operations
16 - 4(7 + 1) ÷ 2²

a)

8

b)

4

c)

20

20.

Simplify the expression 2x + 1 + 3x + 2

a)

8x

b)

3x + 5x

c)

5x + 3

21.

Identify the constants in the following expression 3 + 4x - 2x + 5?

a)

3 and 5

b)

4 and 2

c)

x because it is always x

d)

-2

22.

Which phrase matches the expression
y - 6

a)

6 decreased by a number, y

b)

A number, y, decreased by 6

c)

6 minus a number, y

23.

Which expression represents the phrase "eight fewer than the product of a number x, and four"?

a)

8 - 4x

b)

4x - 8

c)

x + 4 - 8

d)

4x ÷ 8

24.

Use the distributive property to simplify the expression 2x + 3(x - 1)

a)

5x - 3

b)

5x - 1

c)

2x

d)

5x + 3

25.

Identify the variable(s) in the following expression 5x + 1 + 3x² + 7

a)

x

b)

5x and 3x²

c)

x and x²

d)

1 and 7

26.

Evaluate when x = 3

2x² + 3 - 2x

a)

9

b)

33

c)

15

d)

5

27.

Simplify the expression by combining like terms 4n + 3 - n + 2 - 2n

a)

6n + 5

b)

n + 5

c)

3n

d)

3n + 5

28.

Simplify the expression using the distributive property x + 2(2x + 1)

a)

5x + 1

b)

3x + 2

c)

5x + 2

d)

11x

29.

3 - 2a + 3a + 5a

a)

5a+3

b)

5a-3

c)

6a + 3

d)

8a+3

30.

472 students are going on a field trip. 120 students will be returning home and the rest will be spending the night in cabins. If a cabin sleeps 8 people, how many cabins need to be rented?

a)

8x + 120 = 472

b)

472 + 120 = 8x

c)

120 - 8x = 472

d)

8x - 120 = 472

31.

-2m + 3 = -55

a)

24.5

b)

-24.5

c)

29

d)

-29

32.

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

a)

Check the solution

b)

Guess and Check

c)

Isolate the variable

d)

Hope you get the right answer

33.

A group of variables, constants and operations that an include an equal sign

a)

Equation

b)

Constant

c)

Expression

d)

Variable

34.

For the equation - 0.4x + 10 = - 20 Monkey thinks the first step is to subtract 10 from both sides and then add 0.4 to both sides to isolate the variable. What error did she make?

a)

You are supposed to add 10 to both sides

b)

You are supposed to divide both sides by - 0.4

c)

You are supposed to divide both sides by 0.4

d)

No error, with a name like Monkey how could she be wrong

35.

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

a)

Subtract 11 from both sides

b)

Divide - 3 on both sides

c)

Add 3 to both sides

d)

Add 11 to both sides

36.

What is the simplest form of this expression
4x-6a+5a-2x

a)

2x-1a

b)

21xa

c)

6x+11a

37.

Maria has 25 dollars. She has to buy a gallon of milk which costs $3.50. She wants to spend the rest of her money on cereal. If each box of cereal costs $4.50, how many can she purchase?

a)

4 boxes

b)

5 boxes

c)

6 boxes

d)

7 boxes

38.

Doug earns $10.50 per hour working at a restaurant. On Friday he spent 1 ¾ hours cleaning, 2 1/3 hours doing paperwork, and 1 5/12 hours serving customers. What were Doug’s earnings?

a)

$46.97

b)

$47.25

c)

$53.00

d)

$57.75

39.

Joe's BBQ sells BBQ by the pound. Michelle buys $8.75 worth of sides and then 6 pounds of barbeque. If her total bill was $40.55, how much was each pound of barbeque?

a)

$5.30

b)

$3.95

c)

$8.22

d)

$5.32

40.

A mathematical phrase involving at least one variable and sometimes numbers and operation symbols.

a)

Variable

b)

Algebraic Expression

c)

Constant

d)

Coefficient

41.

A letter or symbol used to represent a number or quantities that vary

a)

constant

b)

coefficient

c)

variable

d)

term

42.

A number, a variable, or a product of numbers and variables.

a)

term

b)

variable

c)

sum

d)

coefficient

43.

The total amount resulting from the addition of two or more numbers, amounts, or items.

a)

product

b)

quotient

c)

sum

d)

difference

44.

The result of dividing one quantity by another

a)

product

b)

quotient

c)

sum

d)

difference

45.

The result of multiplying two numbers.

a)

quotient

b)

product

c)

sum

d)

difference

46.

A quantity that does not change its value.

a)

sum

b)

constant

c)

coefficient

d)

quotient

47.

The rules to be followed when simplifying expressions.

a)

algebraic expression

b)

coefficient

c)

order of operations

d)

variable

48.

Terms in an algebraic expression that have the same variable raised to the same power. Only the coefficients of like terms are different.

a)

variable

b)

like terms

c)

product

d)

constant

49.

The difference of a number and 7

a)

7-x

b)

x+7

c)

x/7

d)

x-7

50.

The quotient of a number and -2

a)

x/-2

b)

-2/x

c)

x*-2

d)

x/2

51.

The sum of a number and 4

a)

4+x

b)

x+4

c)

x/4

d)

4+4

52.

Two times the sum of a number and 5 is 20

a)

2(x+5)=20

b)

(2x)+5=20

c)

2x+(x+5)=20

d)

x+x+5=20

53.

Four times the difference of a number and 7 is 32

a)

4(x-7)=32

b)

4x-7=32

c)

4-x-7=32

d)

(4x)-x+7=32

54.

Erik ran 3 less than 5 times the distance that Kerry, k, ran. Which expression represents how far Erik ran?

a)

3 - 5k

b)

5k - 3

c)

5 (3-k)

d)

5 (k-3)

55.

Which expression correctly represents that Jaime walked 7 miles fewer than 3 times the number of miles (r) that Robert walked.

a)

3(r-7)

b)

3r - 7

c)

7(3-r)

d)

7 - 3r

56.

Kalia buys 5 items that cost d dollars each. She gives the cashier $60. Which expression represents the change she should receive?

a)

60 - 5d

b)

60 - d

c)

60 + 5d

d)

5d - 60

57.

What expression represents 19 more than 6 times a number, n

a)

6n + 19

b)

6n - 19

c)

19n + 6

d)

19n - 6

58.

Marie currently has a collection of 58 stamps. If she buys s stamps each week for w weeks, which expression represents the total number of stamps she will have?

a)

58sw

b)

58 + sw

c)

58s + w

d)

58 + s + w

59.

the product of 8 and the difference of c and 9

a)

8c - 9

b)

8 (c - 9)

c)

8 (c+9)

d)

9 (c + 8)

60.

What is the difference between an expression and equation?

a)

Expressions have an equal sign and equations do not have an equal sign

b)

Expressions do not have an equal sign and equations do have an equal sign

c)

There is not a difference

d)

Expressions do not have variables and equations have variables

61.

How would you translate
x - 5 = 12 into words?

a)

x - 5 = 12

b)

The product of x and 5 is twelve

c)

x less than 5 is 12

d)

Five less than x is 12.

62.

How would you translate
x - 5 = 12 into words?

a)

x - 5 = 12

b)

The product of x and 5 is twelve

c)

x less than 5 is 12

d)

Five less than x is 12.

63.

a number more than 12

a)

n + 12

b)

12n

c)

12 + n

d)

12 - n

64.

Find the sum of -11 and -14

a)

3

b)

25

c)

-3

d)

-25

65.

The sum of two positive integers will be...

a)

Positive

b)

Negative

c)

Zero

66.

-6 + 21

a)

-27

b)

15

c)

127

d)

27

67.

-27 + (-127) + 27

a)

-27

b)

0

c)

-127

d)

27

68.

When adding integer with different signs...

a)

use the greatest absolute value to find the sum

b)

add the numbers and the term with the greatest absolute value will determine the sign for the sum

c)

multiplying the same signs will give you a positive product

d)

subtract the numbers and the term with the greatest absolute value will determine the sign for the sum

69.

Which expression is equivalent to -12 - 9

a)

12 + 9

b)

12 + (-9)

c)

-12 - (-9)

d)

-12 + (-9)

70.

What is the difference between 18 and -19

a)

37

b)

-1

c)

1

d)

-12

71.

In Buffalo, New York, the temperature was -14°F in the morning. If the temperature dropped 7°F, what is the temperature now?

a)

21

b)

-7

c)

-21

d)

-14

72.

Which example below is correct?

a)

-9 - 4

-9 + (-4)

-13

b)

-4 - 9

4 + (-9)

-5

c)

-9 - 4

-9 - (-4)

-5

d)

9 - 4

9 + (-4)

-5

73.

Heather owes her mom $5. She borrows another $6 from her. Which expression best represents the situation?

a)

-$11

b)

$11

c)

-5 + (-6)

d)

-5 - (-6)

74.

The product of two positive integers is...

a)

The first perfect square after 100

b)

Positive

c)

Negative

d)

Zero

75.

Determine the product for the following expression

-(-4)

a)

1

b)

-1

c)

-4

d)

4

76.

Scooby ate 16 "Scooby Snax" per hour. How many "Scooby Snax" did he eat after 5 hours?

a)

-80

b)

80

c)

21

d)

11

77.

Which results in a product larger than 70?

a)

70 x -10

b)

-25 x (-3)

c)

70 + (-10)

d)

$-\frac{70}{10}$

78.

Which demonstrates the correct product?

a)

3 x (-4) = -7

b)

-3 x 4 = 12

c)

-3 x (-4) = -12

d)

-3 x (-4) = 12

79.

-84 $\div$ (-7)

a)

77

b)

-77

c)

12

d)

21

80.

$-\frac{24}{8}$

a)

-3

b)

-16

c)

-192

d)

$-\frac{8}{24}$

81.

Which statement is true?

a)

$\frac{-24}{-8}=-24\div\left(-8\right)=-3$

b)

$-\frac{16}{8}=-16\div8=-2$

c)

$\frac{90}{-9}=90\div\left(-9\right)=10$

d)

$\frac{45}{5}=45\div5=-9$

82.

Which expression will have a negative value?

a)

The product of a negative number and a positive number

b)

The quotient of a two negative numbers

c)

The sum of two positive numbers

d)

The product of two negative numbers

83.

The basketball team lost their last 6 games. They lost by a total of 48 points. Find their average number of points relative to their opponents.

a)

-8 points per game

b)

-7 points per game

c)

-6 points per game

d)

-5 points per game

84.

If possible, simplify the following fraction $\frac{7}{21}$

a)

$\frac{4}{8}$

b)

$\frac{1}{3}$

c)

$\frac{1}{2}$

d)

This fraction is already in simpliest form.

85.

If possible, simplify the following fraction $\frac{6}{24}$

a)

$\frac{3}{12}$

b)

$\frac{1}{3}$

c)

$\frac{1}{4}$

d)

This fraction is already in simpiliest form.

86.

If possible, simplify the following fraction $\frac{12}{18}$

a)

$\frac{2}{3}$

b)

$\frac{4}{6}$

c)

$\frac{1}{2}$

d)

This fraction is already in simplest form.

87.

If possible, simplify the following fraction. $\frac{15}{20}$

a)

$\frac{1}{2}$

b)

$\frac{3}{4}$

c)

$\frac{4}{5}$

d)

This fraction is already in simplest form.

88.

If possible, simplify the following fraction $\frac{9}{16}$

a)

$\frac{1}{2}$

b)

$\frac{3}{5}$

c)

$\frac{4}{5}$

d)

This fraction is already in simplest form.

89.

If possible simplify the following fraction $\frac{9}{24}$

a)

$\frac{2}{8}$

b)

$\frac{1}{4}$

c)

$\frac{3}{8}$

d)

This fraction is already in simplest form.

90.

If possible, simplify the following fraction $\frac{7}{32}$

a)

$\frac{1}{4}$

b)

$\frac{2}{8}$

c)

$\frac{1}{6}$

d)

This fraction is already in simplest form.

91.

If possible, simplify the following fraction $\frac{9}{15}$

a)

$\frac{2}{3}$

b)

$\frac{2}{5}$

c)

$\frac{3}{5}$

d)

This fraction is already in simplest form.

92.

If possible, simplify the following fraction $\frac{12}{32}$

a)

$\frac{3}{8}$

b)

$\frac{2}{7}$

c)

$\frac{2}{6}$

d)

This fraction is already in simplest form.

93.

If possible, simplify the following fraction $\frac{12}{30}$

a)

$\frac{1}{2}$

b)

$\frac{1}{3}$

c)

$\frac{2}{5}$

d)

This fraction is already in simplest form.

94.

What does X equal $\frac{3}{5}=\frac{x}{20}$

a)

12

b)

9

c)

24

d)

18

95.

What does X equal $\frac{5}{6}=\frac{x}{30}$

a)

20

b)

25

c)

15

d)

10

96.

What does X equal $\frac{3}{7}=\frac{x}{28}$

a)

18

b)

9

c)

12

d)

6

97.

What does X equal $\frac{7}{8}=\frac{x}{64}$

a)

42

b)

35

c)

56

d)

72

98.

What does X equal $\frac{5}{9}=\frac{x}{36}$

a)

30

b)

15

c)

10

d)

20

99.

What does X equal $\frac{4}{7}=\frac{x}{49}$

a)

42

b)

32

c)

28

d)

12

100.

What does X equal $\frac{3}{8}=\frac{x}{24}$

a)

12

b)

9

c)

15

d)

18

101.

What does X equal $\frac{4}{9}=\frac{x}{36}$

a)

16

b)

12

c)

20

d)

32

102.

What does X equal $\frac{5}{7}=\frac{x}{42}$

a)

15

b)

30

c)

10

d)

14

103.

What does X equal $\frac{3}{4}=\frac{x}{48}$

a)

24

b)

39

c)

30

d)

36

Summer School Review

Total questions: 103

Worksheet time: 9hrs 35mins

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