Free Printable Integers/Algebra

1.

2 - 4

a)

2

b)

-8

c)

6

d)

-2

2.

-5 - (- 3)

a)

-8

b)

8

c)

-2

d)

15

3.

6 - (-4)

a)

10

b)

2

c)

-2

d)

-10

4.

-18 +(-6)

a)

3

b)

-3

c)

-12

d)

-24

5.

-2 + (-8)

a)

-6

b)

6

c)

-10

d)

10

6.

-9 - 5

a)

-14

b)

4

c)

-4

d)

45

7.

-3 +(- 2)

a)

-1

b)

5

c)

-5

d)

-6

8.

-4 - 2

a)

6

b)

-2

c)

-8

d)

-6

9.

8 - (-5)

a)

1

b)

-15

c)

13

d)

15

10.

12 - (-12)

a)

24

b)

-24

c)

0

d)

-144

11.

2 - 4

a)

2

b)

-8

c)

6

d)

-2

12.

-8 - (-6)

a)

2

b)

14

c)

-2

d)

-14

13.

(-4)(-5)

a)

-9

b)

-20

c)

9

d)

20

14.

3 - (-8)

a)

11

b)

-11

c)

5

d)

-5

15.

-32/8

a)

-4

b)

-5

c)

4

d)

24

16.

-2 + (-5)

a)

-3

b)

3

c)

-7

d)

7

17.

Write an integer to match the following scenario, a temperature of 10 degrees below zero.

a)

-10

b)

-11

c)

10

d)

11

18.

Write an integer to match the following scenario, a $35 withdrawal.

a)

-35

b)

35

c)

-25

d)

25

19.

Write an integer to match the following scenario, 5000 feet above sea level.

a)

5000

b)

-5000

c)

1000

d)

-1000

20.

Write an integer to match the following scenario, $5 deposit.

a)

+5

b)

-5

c)

-4

d)

4

21.

Write an integer to match the following scenario, 11 strokes above par.

a)

11

b)

-11

c)

15

d)

-15

22.

What is the opposite of -9?

a)

9

b)

-9

c)

10

d)

-10

23.

What is the opposite of the opposite of 12?

a)

12

b)

-12

c)

13

d)

-13

24.

Write an integer to match the following scenario, to descend 20 meters.

a)

-20

b)

20

c)

19

d)

10

25.

What is the opposite of the opposite of 15?

a)

15

b)

-12

c)

13

d)

-15

26.

What is the opposite of the opposite of -30?

a)

30

b)

-30

c)

13

d)

-15

27.

What is the opposite of -20?

a)

20

b)

-9

c)

10

d)

-20

28.

What is the opposite of the integer on the number line?

a)

0

b)

-7

c)

7

d)

1

29.

What is the opposite of -30?

a)

30

b)

-9

c)

10

d)

-20

30.

What is the opposite of the opposite of -40?

a)

-40

b)

40

c)

13

d)

-15

31.

Write an integer to match the following scenario, 650 feet below sea level.

a)

-650

b)

650

c)

1000

d)

-1000

32.

Write an integer to match the following scenario, 7 inches below normal

a)

-7

b)

7

c)

8

d)

-8

33.

Write an integer to match the following scenario, a gain of 5 yards on the first down.

a)

+5

b)

-5

c)

8

d)

-8

34.

Write an integer to match the following scenario, a loss of $30.

a)

-30

b)

-80

c)

30

d)

-8

35.

What is an integer?

a)

A positive number

b)

A fraction

c)

A negative number only

d)

A negative or positive whole number

36.

2x + 6 = 18

a)

x = 12

b)

x = -6

c)

x = 6

d)

x = -12

37.

4x - 5 = 11

a)

x = -4

b)

x = 6

c)

x = -6

d)

x = 4

38.

-3x + 8 = -1

a)

x = 5

b)

x = 3

c)

x = -5

d)

x = -3

39.

14 = 6x - 4

a)

x = -3

b)

x = 10

c)

x = -10

d)

x = 3

40.

-1x + 10 = 5

a)

x = 5

b)

x = 15

c)

x = -5

d)

x = -15

41.

3x - 9 = 9

a)

x = 0

b)

x = 6

c)

x = 18

d)

x = 3

42.

-8x + 3 = 27

a)

x = -4

b)

x = 3

c)

x = -3

d)

x = 4

43.

-10 = 4x + 6

a)

x = -4

b)

x = 1

c)

x = 4

d)

x = -1

44.

12 = 5x + 17

a)

x = -1

b)

x = 1

c)

x = 5

d)

x = -5

45.

3x - 7 = -16

a)

x =7

b)

x = -3

c)

x = 3

d)

x = -7

46.

Simplify: x + 3x + 6x + x

a)

9x

b)

11x

c)

2x + 9x

d)

Can't be simplified

47.

Simplify: 7t - 3t + t - 3t

a)

2t

b)

8t - 6t

c)

14t

d)

Can't be simplified

48.

Simplify: 4q + 4t + 3q + t

a)

12tq

b)

3q + 4t

c)

7q + 5t

d)

Can't be simplified

49.

Simplify: 4k + 6k - 3k + 3s - s

a)

13k + 3s

b)

7k + 2s

c)

7k + 4s

d)

Can't be simplified

50.

Simplify: 10d - 3d + 2e + 4d

a)

11d + 2e

b)

17d + 2e

c)

19de

d)

Can't be simplified

51.

Simplify: 8q + 3q - 6t + 2q - 4q

a)

3qt

b)

11q - 6t - 2q

c)

9q -6t

d)

Can't be simplified

52.

Simplify: $7y^2\ -5y\ +\ 9y\ -\ 5y^2$

a)

$6y^{2\ }$

b)

$2y^{2\ }+\ 4y\$

c)

$12y^{2\ }+\ 14y$

d)

Can't be simplified

53.

Simplify: 10w + 3d + 3w + d

a)

13w + 4d

b)

17wd

c)

13w + 3d

d)

Can't be simplified

54.

Simplify: 12b + 4b²- 10b

a)

4b² + 2b

b)

4b²+ 22b

c)

6b²

d)

Can't be simplified

55.

Simplify: 5e + 7e - 10e + 9 e

a)

31e

b)

21e - 10e

c)

11e

d)

Can't be simplified

56.

Simplify: 7j + 3k + 10j - k

a)

3j + 4k

b)

17j + 2k

c)

19jk

d)

Can't be simplified

57.

Simplify: m + m + m + m

a)

4m

b)

m⁴

c)

m

d)

Can't be simplified

58.

Simplify: 4f²+ 3h - g + f

a)

5f²+ 3h - g

b)

7fhg

c)

4f² + 3hgf

d)

Can't be simplified

59.

Simplify: 23s + 23d + 4s - 4d

a)

27s + 19d

b)

19s + 27d

c)

27s + 27d

d)

Can't be simplified

60.

Simplify: 5p + 7y + 2t - 3p + 4y

a)

15pyt

b)

2p + 11y + 2t

c)

8p + 11y + 2t

d)

Can't be simplified

61.

-7(w - 4) + 3w - 27

a)

4w + 15

b)

-4w + 1

62.

6(x + 1) - 5(x + 2)

a)

2x + 8

b)

x - 4

63.

8(x + 5) - 4(x + 4)

a)

4x + 24

b)

4x + 16

64.

3(4+3r)

a)

12+9r

b)

7+6r

c)

12+5r

65.

Fill in the blank:
2(x + 7) = 2x + __

a)

7

b)

14

c)

7x

d)

14x

66.

Fill in the blank:
4(3x + __) = 12x + 16

a)

4

b)

16

c)

4x

d)

12

67.

e(f + g) is equivalent to:

a)

ef + g

b)

f + g

c)

f + eg

d)

ef + eg

68.

2(c - 8)

a)

2c - 16

b)

2c + 16

c)

2c - 8

d)

c - 16

69.

3(2c - 5)

a)

6c - 15

b)

6c + 15

c)

6c + 15

d)

-6c - 15

70.

The talent show committee sold a total of 530 tickets in advance. Student tickets cost $3 each and the adult tickets cost $4 each. If the total receipts were $1740, how many of each type of ticket were sold?

a)

S + A = 530
3S + 4A = 1740

b)

S + A = 530
4S + 3A = 1740

c)

S + A = 1740
3S + 4A = 530

d)

S + A = 1740
4S + 3A = 530

71.

A large large pizza at Palanzio’s Pizzeria costs $6.80 plus $0.90 for each topping. The cost of a large cheese pizza at Guido’s Pizza is $7.30 plus $0.65 for each topping. Set up a system of equations to represent the situation.

a)

y = 6.80 + .65x
y=7.30+.90x

b)

x + y = 6.80
x + y = 7.30

c)

y = 6.80+.90x
y = 7.30 + .65x

d)

y + .90x = 6.80
y + .65x = 7.30

72.

Is (-3, -7) a solution to the following system of equations?
y = 4x + 5
y = x – 4

a)

Yes

b)

No

c)

Sometimes

73.

Some students want to order shirts with their school logo. One company charges a setup fee of $43 and an additional $9.65 per shirt. The other company charges $8.40 per shirt with a setup fee of $58. Set up a system of equations to represent the situation.

a)

y = 9.65 + x
y = 8.40 + x

b)

y = 9.65x + 43
y = 8.40x + 58

c)

y =9.65x
y = 8.40x

d)

y = 9.65x - 43
y = 8.40x - 58

74.

Solve the system of equations by graphing:
y = 2x
y = 3x³

a)

(-0.816, -1.633), (0,0), (0.816, 1.633)

b)

(0,0)

c)

No Solution

d)

(0,0), (0.667, 1.33)

75.

Today, January 10th, is National...

a)

Save the Eagles day

b)

Eat chocolate day

c)

Math appreciation day

d)

Clean your room day

76.

Which of the following is equivalent to 4x + 28

a)

4(x + 7)

b)

4(x + 28)

c)

4x + 7

d)

4(x + 24)

77.

Which is equivalent to 5(a + 6)?

a)

5a + 6

b)

a + 30

c)

5a + 30

d)

5a - 30

78.

Distribute: 2(c - 8)

a)

2c - 16

b)

2c + 16

c)

2c - 8

d)

c - 16

79.

Distribute: 3(2c - 5)

a)

6c - 15

b)

6c + 15

c)

6c + 15

d)

-6c - 15

80.

Which of the following is equivalent to
9(5c + 4)?

a)

45c + 36

b)

81c

c)

45c + 4

d)

49c

81.

Simplify:
7(y - 3)

a)

7y - 21

b)

7y - 3

c)

7y + 3

d)

7y + 21

82.

Which of the following expressions is equivalent to 10x - 8?

a)

2(5x - 8)

b)

10(x - 8)

c)

8(2x - 1)

d)

2(5x - 4)

83.

Fill in the blank:
2(x + 7) = 2x + __

a)

7

b)

14

c)

7x

d)

14x

84.

Fill in the blank:
4(3x + __) = 12x + 16

a)

4

b)

16

c)

4x

d)

12

85.

Which of the following is not equivalent to 12x + 6?

a)

6(2x + 1)

b)

10x + 2x + 6

c)

3(4x + 2)

d)

12(x + 6)

86.

Which of the following is equivalent to 16ab + 24b?

a)

8b(2a + 3)

b)

8ab(2 + 3)

c)

8a(2b + 3)

d)

8(2a + 3b)

87.

Fill in the blanks:
__(5x + 1) = 10x + 2

a)

2

b)

5

c)

10

d)

x

88.

Which of the following is not equivalent to 4x - 8?

a)

4(x - 2)

b)

2(2x - 4)

c)

2x + 2x - 8

d)

4(x - 8)

89.

Fill in the blank:
3x(2y + 1) = __ + 3x

a)

6xy

b)

6x

c)

6y

d)

6x²

90.

Which of the following is equivalent to 5(2x + 3)?

a)

52x + 53

b)

7x + 10

c)

10x + 15

d)

10x + 3

91.

Factor the following expression:
39u + 13

a)

3(13u + 1)

b)

13(3u + 1)

c)

u(39 + 13)

d)

1(u + 39)

92.

Factor the following linear expression:
20y - 5

a)

4(5y - 1)

b)

5(4y - 1)

c)

20(y - 5)

d)

y(20 - 5)

93.

Distribute the following:
10(z - 6)

a)

10z - 60

b)

10z + 60

c)

-10z - 60

d)

-10z + 60

94.

6(x + 3y) is equivalent to:

a)

6 + 18y

b)

6x + 18

c)

24xy

d)

6x + 18y

95.

e(f + g) is equivalent to:

a)

ef + g

b)

f + g

c)

f + eg

d)

ef + eg

96.

Which is the greatest integer?

a)

-33

b)

-31

c)

-28

d)

-17

97.

Boston has a temperature of -20 degrees. It is colder in New York than in Boston. Select the value that could represent the temperature of New York

a)

0

b)

30

c)

-30

d)

-19

98.

What is the opposite of zero?

a)

1

b)

-1

c)

0

d)

it doesn't have one

99.

Darrel is currently 20 feet below sea level. Which correctly describes the opposite of Darrel's elevation?

a)

20 feet below sea level

b)

20 feet above sea level

c)

2 feet below sea level

d)

At sea level

100.

Which situation could the integer -50 represent?

a)

An increase of $50 in a bank account

b)

The temperature on a warm spring day

c)

The distance driven on the way to the beach

d)

A decrease of 50 employees

101.

Express as an integer: at sea level

a)

0

b)

-0

c)

1

d)

-10

102.

Which is not an integer?

a)

-5

b)

12

c)

0

d)

-1/2

103.

Opposite of 142

a)

-142

b)

142

c)

+142

104.

Which integer represents a withdrawal from your bank account of $50

a)

-$50

b)

$50

c)

+$50

105.

Which integer represents a gain of 10 yards on a football play?

a)

+10

b)

-10

106.

Identify the set of numbers that is graphed below

a)

{-4,3,-1}

b)

{-4,-3,1} and their opposties

107.

12 and -12 are example of ....

a)

opposites

b)

even numbers

c)

negative numbers

d)

absolute values

108.

A decrease of 5 inches.

a)

positive

b)

negative

109.

Negatives numbers are right or left of zero?

a)

right

b)

left

110.

What is an integer?

a)

A whole number

b)

A fraction

c)

A negative number only

d)

Negative and positive whole number and 0

111.

Which is NOT negative?

a)

Withdrawal

b)

Loss

c)

Fine

d)

Bonus

112.

Distance between the 2 integers?

a)

8

b)

6

c)

-7

d)

7

Integers/Algebra

Total questions: 112

Worksheet time: 7hrs 51mins

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