Free Printable MIF Ch 2 Algebraic Expressions Grade 7

1.

3 - 2a + 3a + 5a

a)

5a+3

b)

5a-3

c)

6a + 3

d)

8a+3

2.

-12n - (-13n)

a)

-25n

b)

25n

c)

n

d)

-n

3.

Simplify the expression by combining like terms.

8a+4b+2c-3b+a

a)

9a+b+2c

b)

10a+7b+c

c)

13abc

d)

18abc

4.

Evaluate 6(x + 1) – 5 where x = 3

a)

19

b)

20

c)

26

d)

-19

5.

What are the variables in the following expression?

a)

3, 4, 1 and 7

b)

z, x and y

c)

+ and -

d)

15

6.

What is the constant in the algebraic expression?

a)

3

b)

2

c)

-2

d)

7

7.

Identify the coefficient(s) in the algebraic expression.

a)

2

b)

4 and 1

c)

1 only

d)

4 only

8.

Evaluate when a = 15:

2(a - 5) + 2

a)

22

b)

27

c)

14

d)

7

9.

Combine Like terms

5x + 3y + 5 + 4x + 3y + y + 8

a)

9x + 7y + 13

b)

6x + 2y + 2

c)

25x + 2y + 3

d)

x + 7y + 12

10.

Evaluate 2n + 7 if
n = -7

a)

21

b)

-14

c)

7

d)

-7

11.

Which shows the absolute value of -15/36 in simplest form?

a)

-5/12

b)

-3/7

c)

3/7

d)

5/12

e)

0.416666

12.

Which of the following are equivalent to 8/11?

a)

0.72

b)

0.727

c)

0.72727272...

d)

$0.\overline{72}$

e)

$0.\overline{727}$

13.

What is the value of R?

a)

-6.5

b)

-6 3/5

c)

-5 3/5

d)

-5.5

14.

Which is true?

a)

P > Q

b)

Q > P

c)

Q = 7

d)

P = 3

e)

Q = P

15.

Which of the integers are 8 units apart on a number line?

a)

0 and 8

b)

- 8 and 0

c)

2 and -6

d)

2 and -10

e)

-22 and - 16

16.

Which of the following expressions have negative answers?

a)

$48\ \div12\ \cdot\ 2$

b)

$-48\ \div12\ \cdot\ 2$

c)

$-48\ \div12\ \cdot\ \left(-2\right)$

d)

$-48\ \div\left(-12\right)\ \cdot\left(-\ 2\right)$

e)

$-48\ \div\left(-12\right)\ \cdot\ 2$

17.

Find the value of the expression:

-12 + 12

a)

0

b)

-4

c)

12

d)

-144

e)

-24

18.

Find the value of the expression:

-13 - 12

a)

-25

b)

1

c)

-1

d)

-21

e)

25

19.

Find the value of the expression:

(-5) - (-20)

a)

-25

b)

15

c)

-5

d)

-15

e)

25

20.

Find the value of the expression:

(-5) - (-20)/(-4)

a)

-20

b)

10

c)

5

d)

-10

e)

20

21.

Diego had $5\ \frac{4}{5}$ feet of rope. He cut off $2\ \frac{2}{3}$ feet for a project. How much rope did he have left? Write your answer as a fraction m/n in simplest form.

a)

3 2/15

b)

3 1/3

c)

2 2/15

d)

47/15

e)

32/15

22.

Evaluate:

$\left(-3\ \frac{1}{2}\right)\cdot\ \left(\frac{-2}{7}\right)$

a)

1

b)

-1

c)

49/4

d)

-49/4

e)

0

23.

The temperature was 12 degrees at 8 pm. By midnight the temperature had dropped 21 degrees. By 6 am the following day, the temperature rose 12.8 degrees. What was the temperature at 6 am?

a)

-9

b)

-3.8

c)

9

d)

3.8

e)

-21.8

24.

James paid $15.50 for 12 mangos. For every 5 mangos he purchased, he got one free. Mary wants to buy 4 mangos from the same stand. She only has $3.28. How much more money does she need?

a)

$6.20

b)

$2.92

c)

$2.08

d)

$9.48

e)

$2.82.

25.

Charles says the sum of -15 + 30 is -45. He said to add 15 and 30 then multiply by -1. Why is this incorrect?

a)

Same signs add

different signs subtract

b)

Different signs add

same signs subtract

c)

Same signs subtract

different signs add

26.

Benjamin wants to buy 10 items at the supermarket. 5 of the items cost $3.50 each. 1 of them costs $13.20. The rest cost $1.40 each. He has $20. How much more does he need?

a)

$5.60

b)

$17.50

c)

$36.30

d)

$16.30

e)

$16.70

27.

Combine Like Terms:

$16-4-3.2a+2a$

a)

12 - 1.2a

b)

20 + 5.2a

c)

4 - 1.2a

d)

12 - 5.2a

e)

12 + 5.2a

28.

If Alex is x years old and Addison is y years younger, what is a simplified expression that would show their combined ages in 5 years?

a)

x + (x-y) + 5

b)

(x + 5) + (x-y+5)

c)

2x - y + 10

d)

2x + y - 10

e)

(x + 5) + (x + y + 5)

29.

The width of a rectangle is 8x yards. The length of the rectangle is 5 more than the width. What is a simplified expression showing the perimeter of the rectangle?

a)

8x + (8x + 5)

b)

8x + (8x - 5)

c)

16x - 10

d)

32x - 10

e)

32x + 10

30.

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

a)

Positive

b)

Negative

c)

Depends on the largest number

d)

None of the above

31.

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

a)

Positive

b)

Negative

c)

Depends on which is bigger.

d)

None of the above

32.

Sharon wants to make cookies for her class bake sale. She found a recipe that calls for 2/3 cups of flour for each batch of cookies. How many batches can she make using 12 cups of flour?

a)

12

b)

18

c)

6

d)

4

33.

The price of Quiktrip stock dropped a total of $372.33 over a 7 day period. The stock dropped the same amount each day. What amount did they lose each day? (hint : amount should be negative)

a)

-$53.19

b)

-$5.32

c)

$53.19

d)

-$365.33

34.

On Tuesday in Washington D.C. the temperature at 8am was -8 degrees. At 1pm, it was 27 degrees. By how many degrees did the temperature change from morning to evening?

a)

21

b)

-35

c)

35

d)

19

35.

What is the sum?
$\frac{4}{5}+\frac{1}{5}$

a)

^{$\frac{5}{10}$}

b)

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

c)

1

d)

_{$\frac{4}{5}$}

36.

What is the product?

⁴/₅ × -¹/₅

a)

^{- 5}/₁₀

b)

⁴/₁₀

c)

^{- 4}/₂₅

d)

⁵/₂₅

37.

What is the quotient?
³/₄ ÷ ³/₈

a)

¹/₂

b)

¹/₄

c)

0

d)

2

38.

What is the difference?

⁹/₁₄ - ³/₇

a)

³/₁₄

b)

^{- 6}/₇

c)

^{- 3}/₁₄

d)

⁶/₁₄

39.

Ella played a math game and had five cards shown. Her score was the sum of the numbers on these five cards. What was Ella's score?

a)

3

b)

23

c)

-5

d)

10

40.

Julie walks 10 dogs a week and gets paid $4.25 for each dog. How much money does she make in one week?

a)

$42.50

b)

$442.50

c)

$425.00

d)

$3.50

41.

Mr. Smith has an account balance of -$275.78. He deposits $539.20 into his account. What is Mr. Smith's account balance now?

a)

$813.98

b)

$263.42

c)

$539.78

d)

$345.98

42.

If a plant grows 1/4 cm every day for 21 days, what is the total amount of growth?

a)

82 cm

b)

25 cm

c)

17 1/4 cm

d)

5 1/4 cm

43.

A jug of orange juice contains 40.75 fluid ounces. It is shared equally among 5 people. How many ounces of orange juice does each person receive?

a)

81.45 fl. oz.

b)

203.75 fl. oz.

c)

20.75 fl. oz.

d)

8.15 fl. oz.

44.

A student has $78 in his checking account. If the student spends $12 on lunch, which number could be combined with the amount left in the account to make zero?

a)

–90

b)

–78

c)

–66

d)

–12

45.

-3 ¼ + ½

a)

-2 ¾

b)

3 ¾

c)

-3 ¾

d)

-¾

46.

-2 ⅙ - (-1 ¾)

a)

-5/12

b)

3 11/12

c)

5/12

d)

-2 1/10

47.

Simplify the expression
$-4\ \times\ \left(-9\ \frac{1}{3}\right)$

a)

$37\ \frac{1}{3}$

b)

$-37\ \frac{1}{3}$

c)

$-\frac{3}{112}$

d)

$-\frac{3}{7}$

48.

Simplify the expression
$-\frac{13}{14}\ \times\ \left(-6\right)$

a)

$5\frac{4}{7}$

b)

$-5\frac{4}{7}$

c)

$\frac{13}{84}$

d)

$-\frac{13}{84}$

49.

$-\frac{5}{14}\ \div\ -1\ \frac{3}{7}$

a)

$-\frac{1}{4}$

b)

$\frac{1}{4}$

c)

$-\frac{25}{49}$

d)

$\frac{25}{49}$

50.

Answer in simplest form.
-5/8 + 3/8

a)

1

b)

8/8

c)

-2/8

d)

-1/4

51.

Simplify the expression:
$-1\ \frac{7}{8}\ \div\ \frac{9}{6}$

a)

$1\ \frac{1}{4}$

b)

$-1\ \frac{1}{4}$

c)

$2\ \frac{13}{16}$

d)

$-2\frac{13}{16}$

52.

\frac{2}{5}\div0.1

(a)

53.

Multiply. Write fractions in simplest form.

$2\frac{2}{3}\times\left(-4\frac{1}{4}\right)$

a)

$-11\frac{1}{3}$

b)

$\frac{34}{3}$

c)

$-8\frac{3}{12}$

d)

$-8\frac{1}{4}$

54.

$8\frac{4}{7}+\left(-5\frac{3}{7}\right)$

a)

$3\frac{1}{7}$

b)

$13\frac{1}{7}$

c)

$-3\frac{1}{7}$

d)

$-13\frac{7}{7}$

55.

(- 12) - (- 4) =

a)

-16

b)

-8

c)

- 3

d)

8

56.

Calculate
1.08÷4

a)

2.7

b)

0.27

c)

2.07

d)

.20

57.

What is the product?
⁴/₅ × ¹/₅

a)

⁵/₁₀

b)

⁴/₁₀

c)

⁴/₂₅

d)

⁵/₂₅

58.

Convert this decimal into a fraction:

.625

a)

1/3

b)

5/8

c)

6/9

d)

1/4

59.

What is 0.507 as a fraction?

a)

$\frac{57}{1,000}$

b)

$\frac{507}{1,000}$

c)

$\frac{507}{100}$

d)

$\frac{57}{100}$

60.

What decimal is equivalent to $\frac{7}{100}$ ?

a)

.07

b)

.7

c)

7.100

d)

100.7

61.

What decimal is equivalent to $\frac{1}{4}$ ?

a)

.25

b)

1.4

c)

4.1

d)

.10

62.

What is 0.01 as a fraction?

a)

$\frac{1}{10}$

b)

$\frac{1}{100}$

c)

$\frac{1}{1,000}$

d)

$\frac{1}{50}$

63.

Evaluate the expression:

-16 + (-13)

a)

29

b)

-29

c)

3

d)

-3

64.

Evaluate the expression:

329 - (-104)

a)

433

b)

225

c)

-433

d)

-225

65.

Evaluate the expression:

\left(\frac{5}{27}\right)\cdot\left(-\frac{9}{15}\right)

a)

$-\frac{4}{9}$

b)

$-\frac{1}{6}$

c)

$-\frac{75}{243}$

d)

$-\frac{1}{9}$

66.

Evaluate the expression:

\left(-68\right)\ \div\left(-4\right)

a)

17

b)

-17

c)

16

d)

-16

67.

Evaluate the expression:
18.2 + 7.3 - $3\ \frac{2}{5}\cdot$ 0.4 - (-6.5)

a)

15.34

b)

2.3

c)

30.64

d)

152.49

68.

Evaluate the expression:

-39.85+41.76\div1.2+\frac{5}{8}\cdot\left(-0.6\right)

a)

1.33

b)

-1.33

c)

-5.425

d)

6.725

69.

Evaluate the expression:

\frac{\left(1\ \frac{4}{7}\right)}{-\left(\frac{15}{21}\right)}

a)

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

b)

$3\ \frac{1}{7}$

c)

$-\frac{11}{36}$

d)

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

70.

The highest outdoor temperature ever recorded in the United States was $134\degree$ F, measured at Death Valley, California. The coldest outdoor temperature recorded was $-79.8\degree$ F, measured in Prospect Creek, Alaska. Find the difference between these two temperatures.

a)

$54.2\degree F$

b)

$213.8\degree F$

c)

$-54.2\degree F$

d)

$-213.8\degree F$

71.

A group of tourists are viewing a U.S. national park. Their tour bus starts its journey at an elevation of 138 feet below sea level. The bus stops for a short break after ascending 470 feet in elevation. What is the new elevation of the bus relative to sea level?

a)

608 feet above sea level

b)

302 feet below sea level

c)

332 feet above sea level

d)

608 feet below sea level

72.

Jessie needs $1\ \frac{5}{8}$ gallons of paint to paint her room. She only has $\frac{5}{6}$ gallons of paint. How many more gallons of paint does she need?

a)

$\frac{19}{24}$ gallon

b)

$1\ \frac{1}{2}$ gallon

c)

$1\ \frac{5}{19}$ gallon

d)

$\frac{10}{12}$ gallon

73.

Mrs. Williamson wants to buy 2 T-shirts and 6 pairs of socks for her children. Each pair of socks costs $3.60 and each T-shirt costs $15.80. If she only budgeted $50, how much is her budget short?

a)

$1.80

b)

$3.20

c)

$4.60

d)

$13.90

74.

A sporting goods store is offering a 6% discount on the sale of football jerseys. The price of each jersey is $39.90 before the discount. How much will Chris be charged if Chris buys 5 football jerseys because Chris can't pass up a good deal?

a)

$175.76

b)

$199.50

c)

$193.53

d)

$187.53

75.

Emily participates in a trivia quiz show. In each round, 20 points are awarded for a correct answer and 10 points are deducted for an incorrect answer. Emily answered 7 questions correctly and 8 incorrectly in the first round.

What was her score for the first round?

a)

150 points

b)

-20 points

c)

-80 points

d)

60 points

76.

Emily participates in a trivia quiz show. In each round, 20 points are awarded for a correct answer and 10 points are deducted for an incorrect answer. Emily answered 4 questions correctly and 11 incorrectly in the second round.

What was her score for the second round?

a)

190 points

b)

-110 points

c)

-30 points

d)

30 points

77.

Emily participates in a trivia quiz show. In each round, 20 points are awarded for a correct answer and 10 points are deducted for an incorrect answer. Emily answered 7 questions correctly and 8 incorrectly in the first round. Emily answered 4 questions correctly and 11 incorrectly in the second round.

If the final score is the average of the points for both rounds, find Emily's score.

a)

-20 points

b)

-30 points

c)

15 points

d)

45 points

78.

Identify a constant in the expression
3x + 2y + 7

a)

3

b)

2y

c)

7

d)

2

79.

Identify the coefficient in the expression
4m + n + 2

a)

2

b)

4

c)

m

d)

n

80.

How many terms are in the expression
3x + 2y + z

a)

5

b)

2

c)

4

d)

3

81.

Identify the variables in the expression
3x + 9

a)

x

b)

y

c)

9

d)

3x

82.

Identify the variables in the expression
3x + 9

a)

x

b)

y

c)

9

d)

3x

83.

What is a constant?

a)

A term with no variables.

b)

A number.

c)

A term with numbers and variables.

d)

A letter.

84.

How many terms are in the expression
3a + 2b + c + 100

a)

3

b)

4

c)

5

d)

6

85.

A term can be made up of which of the following?

a)

a number

b)

a variable

c)

a coefficient with a variable

d)

all of the above

86.

Identify the constant in the expression
4y + 2 + x

a)

x

b)

y

c)

4y

d)

2

87.

Which term contains a coefficient?
m + 3n + p + 3

a)

m

b)

3n

c)

p

d)

3

88.

Which of the following is not true of an expression?

a)

It can be solved

b)

It can be evaluated

c)

It is a mathematical phrase

d)

It does not have an equal sign

89.

How is the number 9 best described in the expression
9m + 3n + 4

a)

coefficient

b)

variable

c)

constant

d)

term

90.

What is a variable.

a)

A number without a letter.

b)

A number multiplied by a letter.

c)

A symbol to represent the unknown.

d)

Parts of the expression separated by plus or minus signs.

91.

What is the coefficient of x?

8 + 5x - y

a)

8

b)

0

c)

5

d)

-5

92.

What is the coefficient of y:
4 - 2y

a)

2

b)

4

c)

-2

d)

0

93.

What is the coefficient of x²?
3x + 8x²

a)

3

b)

11

c)

-11

d)

8

94.

What is the coefficient of t^{3 ?}13x + 5y - 10t³

a)

-10

b)

8

c)

5

d)

13

95.

What is the coefficient of x?
9 - x

a)

0

b)

1

c)

-1

d)

8

96.

What is the constant?
5x - 8

a)

5x

b)

5

c)

-8

d)

8

97.

What is the constant?
-3x + 2

a)

2

b)

-3x

c)

-3

d)

3

98.

What is the constant?
-4 - 9y

a)

-4

b)

4

c)

9

d)

-9

99.

What is the constant?
4 + 12a

a)

4

b)

12

c)

12a

d)

4 + 12a

100.

What is the coefficient?
-3x + 2

a)

-3

b)

3

c)

2

d)

-3x

101.

What is the coefficient?
-4 - 9y

a)

-4

b)

-9y

c)

-9

d)

4

102.

Write an algebraic expression:
three times a number

a)

3n

b)

3/n

c)

3+n

d)

3-n

103.

Simplify by combining like terms.
m + 9 - 4m

a)

5m

b)

m + 5m

c)

-3m + 9

d)

4m

104.

Simplify the expression: 7v + 2 + 12 + 2v

a)

23

b)

23v

c)

9 + 14v

d)

9v + 14

105.

Which expression is equivalent to $8c\ +\ 6\ -\ 3c\ -\ 2?$

a)

$5c+4$

b)

$5c+8$

c)

$11c+4$

d)

$11c+8$

106.

Simplify by combining like terms.
-14w + 8 + 9w - 2

a)

23w + 6

b)

-23w + 6

c)

-6w + 7

d)

-5w + 6

107.

Combine Like Terms

30 + 80k + 9k + 27

a)

57 + 89k

b)

57 + 720k

c)

30 + 80k

108.

Simplify: x + 3x + 6x + x

a)

9x

b)

11x

c)

2x + 9x

d)

Can't be simplified

109.

Simplify the following expression by combining like terms:

-10x + 15 - 3x + 2

a)

$13x^2+17$

b)

$-13x\ +17$

c)

$-13x+13$

d)

-7x+17

110.

A variable can be _______?

a)

Any number

b)

Any letter of the alphabet

c)

only X

d)

only 1

111.

Simplify: 5 + 11y + 2

a)

5 + 11y

b)

18y

c)

11y + 7

d)

11y + 3

112.

Simplify: 15x + 19 + 2x + 4

a)

17x + 15

b)

17x + 23

c)

30x + 15

d)

13x + 15

113.

A number by itself with no variable attached is called a _____.

a)

coefficient

b)

constant

c)

variable

d)

term

114.

Simplify the expression completely.

3z+9+5z-4

a)

$8z+5$

b)

$8z+13$

c)

$13z$

d)

$21z$

115.

Simplify the expression completely.

t+2+6t

a)

$9t$

b)

$12t$

c)

$7t+2$

d)

$18t$

116.

Combine like terms to simplify the expression: 8 + 5x - 3 - 2x

a)

-3x² - 11

b)

3x² + 5

c)

11 - 3x

d)

5 + 3x

117.

Combine like terms to simplify the expression: 3r - 2r + 5

a)

5r + 5

b)

r + 5

c)

5r - 5

d)

5

118.

Factor 12x - 20

a)

6(2x - 3)

b)

4(3x - 5)

c)

4x(3x - 5)

d)

3(4x + 6)

119.

Factor in simplest form: 6x + 12

a)

3(2x + 4)

b)

6(x+2)

c)

6x(x+2)

d)

1/2 (3x + 24)

120.

Factor completely: 6x + -3

a)

3(2x + -1)

b)

-2 + -1 + 6 + x

c)

6( -2 + x )

d)

3 ( 1 + 2x)

121.

Factor completely: 16 + 24x

a)

8 ( 2 + 3x)

b)

4 ( 4 + 7x)

c)

8 ( 2 - 3x)

d)

6 ( 4x + 3)

122.

Factor Completely:

-9u + (- 81)

a)

9(u + 9)

b)

-9(u - 9)

c)

-9(u + 9)

d)

-90u

123.

Factor:
12x + 9

a)

3(4x + 3)

b)

x(12+9)

c)

3(4x - 3)

d)

not factorable

124.

Factor:

7x + 49

a)

7(x + 7)

b)

56x

c)

can't be factored

d)

7(x + 49)

125.

Factor Completely:

12 - 4b

a)

4(b - 12)

b)

4(3 - b)

c)

-4(b + 2)

d)

12(1 - b)

126.

Factor Completely:

10 + 15p

a)

5(3+p)

b)

5(2+3n)

c)

5(2+3p)

d)

25p

127.

Factor:

4x + 30

a)

2(2x + 30)

b)

4(x + 15)

c)

2(2x + 15)

d)

can't be factored

MIF Ch 2 Algebraic Expressions Grade 7

Total questions: 127

Worksheet time: 13hrs 5mins

Similar Resources on Wayground