Free Printable 7th Grade IAR Review

1.

Which expression is equivalent to (8x - 5) -2(3x - 5)?

a)

14x - 5

b)

14x + 5

c)

2x + 5

d)

2x - 15

2.

Which expression represents a factorization of 32m + 56mp?

a)

8(4m + 7p)

b)

8(4 + 7)mp

c)

8p(4 + 7m)

d)

8m(4 + 7p)

3.

Determine the value of the expression -10.75 + 5.28 - 2.45

(a)

4.

Tyler bought a package of pencils for $4.25 and some erasers that cost $0.75 each. He paid a total of $10.25 for these items. How many erasers did Tyler buy?

(a)

5.

Solve the equation 8x + 7 = 71

(a)

6.

Which expressions are equivalent to 4 - 3.5 + (-5)

a)

4 + 3.5 - 5

b)

4 + (-3.5) - 5

c)

4 - 3.5 - 5

d)

4 + (-3.5) - (-5)

7.

Gina is hiking 10 feet below sea level. She sees a bird that is flying at an elevation of 35 feet. What is the distance between Gina and the bird? Write just the number.

(a)

8.

What is 6.25% as a decimal?

a)

6.25

b)

.625

c)

.0625

d)

625

9.

Write 0.04 as a percent. Make sure to type the percent sign.

(a)

10.

What is 10% of 45?

a)

450

b)

4.5

c)

49.5

d)

.045

11.

A rectangle has a width of 12 cm and a length of 8 cm. What is the perimeter of the rectangle? Type just the number.

(a)

12.

A rectangle has a width of 3 inches and a length of 7 inches. What is the area? Type just the number.

(a)

13.

Lucas bought 8 pencils for $10.80. What is the cost per pencil?

a)

$0.75

b)

$1.30

c)

$1.08

d)

$1.35

14.

Select the choices that show a proportional relationship.

a)

y = 5x

b)

y = 3x + 4

c)

d)

15.

Gretchen spends 1/2 an hour grooming Hobo and 1/3 of an hour riding Hobo. How much time did she spend with Hobo?

a)

⅖ hours

b)

⅚ hours

c)

⅔ hours

d)

⅜ hours

16.

Cliff collects marbles. ½ of his collection is blue. Of the blue marbles ½ of these are a dark blue. How much of Cliff’s marble collection is dark blue?

a)

1 of the marbles

b)

¼ of the marbles

c)

10 of the marbles

d)

½ of the marbles

17.

A Gatorade cooler has 36 cups of water. If a serving is ¾ of a cup how many servings are in the cooler?

a)

48 servings

b)

27 servings

c)

36 ¾ servings

d)

60 servings

18.

If a sheep eats ⅙ of a bale of hay a day how many sheep can be fed off of 2 bales of hay?

a)

3 sheep

b)

6 sheep

c)

9 sheep

d)

12 sheep

19.

Solve
-5t + 9 = 24

a)

t = -3

b)

t = 3

c)

t = 6

d)

t = 12

20.

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

a)

x = 22

b)

x = -22

c)

x = 1

d)

x = -1

21.

–2n + 5(–3 + 3n)

a)

–15 + n

b)

17n – 15

c)

13n – 15

d)

–17n + 3

22.

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

a)

8a + 2b + 4

b)

2a + 2b + 4

c)

8ab

d)

4ab + 4

23.

Solve:
7x - 3x - 8 = 24

a)

8

b)

-8

c)

3.2

d)

4

24.

When graphing an inequality, you use an open dot when you use which symbol?

a)

<, >

b)

≤, ≥

25.

What inequality does the number line graph represent?

a)

x > 5

b)

x < −5

c)

x ≥ 5

d)

x ≥ −5

26.

Which is the solution of
-6a ≥ -36

a)

a ≥ 6

b)

-6 ≥ a

c)

a ≤ 6

d)

6 ≤ a

27.

True or false: you flip the sign every time you multiply or divide when you're solving an inequality.

a)

True

b)

False

28.

Solve
$b-7<-12$

a)

$b<-5$

b)

$b>-5$

c)

$b<-19$

d)

$b>-19$

29.

Solve
$-5n+5<60$

a)

$n>-11$

b)

$n<-11$

c)

$n<-13$

d)

$n>-13$

30.

Jim paid a gym membership fee of $50, plus $20 per month. Jim has paid a total of $290 to the gym. Which equation matches this situation?

a)

50 + 20m = 290

b)

20 + 50m = 290

c)

50 + 20 = m

d)

50m - 20 = 290

31.

Terry had his car repaired at Ace Auto. He was charged $50 per hour of labor plus $150 for parts. His total bill for the repair before tax was $375. How many hours of labor was Terry charged for?

a)

2.5 hours

b)

4.5 hours

c)

7.5 hours

d)

10.5 hours

32.

Joan needed $100 to buy a graphing calculator for her math class. Her neighbor will pay her $5 per hour to babysit and her Father gave her $10 for mowing the lawn. Which inequality represents the minimum amount of hours she will need to babysit in order for her to buy her calculator?

a)

5x + 10 ≥ 100

b)

5x - 100 ≥ 10

c)

10x + 5 ≤ 100

d)

5x + 10 > 100

33.

Is this graph proportional?

a)

Yes

b)

No

34.

What does k represent in the equation y = kx?

a)

constant for preparation

b)

constant of proportionality

c)

kangaroos

d)

krispy kreme

35.

How do you find k?

a)

x/y

b)

y/x

c)

y=kx

d)

x ⋅ y

36.

Is this table proportional?

a)

Yes

b)

No

37.

Daniel walked 2/5 mile in 1/4 hour. How fast did he walk, in miles per hour?

a)

1.25 miles per hour

b)

1/10 miles per hour

c)

1.6 miles per hour

d)

2 miles per hour

38.

5000 - (- 8000)

a)

Positive

b)

Negative

c)

Zero

39.

-3.4 + 3.4

a)

Positive

b)

Negative

c)

Zero

40.

-4.8 - 7.3

a)

Positive

b)

Negative

c)

Zero

41.

0.6 - 1.4 + 0.6

a)

Positive

b)

Negative

c)

Zero

42.

-6 - (-12)

a)

Positive

b)

Negative

c)

Zero

43.

A positive number plus a positive number will _________ be positive.

a)

Always

b)

Sometimes

c)

Never

44.

A positive number TIMES a negative number will __________ be negative

a)

Always

b)

Sometimes

c)

Never

45.

A positive number MINUS a negative number will ___________ be negative

a)

Always

b)

Sometimes

c)

Never

46.

A negative number MINUS a positive number will _____________ be negative

a)

Always

b)

Sometimes

c)

Never

47.

A postive number minus a positive number will ________________ be positive

a)

Always

b)

Sometimes

c)

Never

48.

A negative number divided by a negative number will _________________ be negative.

a)

Always

b)

Sometimes

c)

Never

49.

-1/3 - 4/3

a)

Positive

b)

Negative

c)

Zero

50.

The distance between two numbers is always

a)

Positive

b)

Negative

c)

Zero

51.

7 - 3 is the same as:

a)

7 + 3

b)

7 - (-3)

c)

7 + (-3)

d)

-3 - 7

52.

-x + y

a)

y - x

b)

y + x

c)

-x - y

d)

x - (-y)

53.

(-2)(-3)(-5)

a)

Positive

b)

Negative

c)

Zero

54.

(-2)(-3)(-5)(-6)

a)

Positive

b)

Negative

c)

Zero

55.

The angles of a triangle have to add up to (a) degrees

56.

Complementary Angles ________

a)

Add up to 90 degrees

b)

Add up to 180 degrees

c)

Are congruent

57.

Supplementary angles _______

a)

Add up to 90 degrees

b)

Add up to 180 degrees

c)

Are congruent

58.

Vertical angles _________

a)

Add up to 90 degrees

b)

Add up to 180 degrees

c)

Are congruent

59.

A box has side lengths of 2, 3, and 4. To find the volume...

a)

Multiply all the sides together

b)

Add all the sides together

60.

If an angle is less than 90 degrees it is

a)

Acute

b)

Obtuse

c)

Right

61.

If the diameter of a circle is 10, the radius is

a)

5

b)

10

c)

20

d)

10pi

62.

If the diameter of a circle is 10, the circumference is...

a)

5

b)

10

c)

20

d)

10pi

63.

If the diameter of a circle is 10, the area is...

a)

10pi

b)

25pi

c)

100pi

d)

None of the above

64.

To find the area of a triangle:

a)

Length x Width

b)

Length x Width x (1/2)

c)

Length + Width

65.

Could 2 cm, 3 cm, and 6 cm make a triangle?

a)

No

b)

Yes

66.

You find the median of a data set by...

a)

Finding the number in the middle

b)

Subtracting the biggest and lowest values

c)

Looking for the value that appears most

d)

Adding up the values and dividing by the number of entries

67.

You find the mean of a data set by...

a)

Finding the number in the middle

b)

Subtracting the biggest and lowest values

c)

Looking for the value that appears most

d)

Adding up the values and dividing by the number of entries

68.

You find the range of a data set by...

a)

Finding the number in the middle

b)

Subtracting the biggest and lowest values

c)

Looking for the value that appears most

d)

Adding up the values and dividing by the number of entries

69.

Solve: 5x + 5 = 25

(a)

70.

True or False: 5x + 5 = 5(x + 5)

a)

True

b)

False

71.

2x + 3x + 5 =

a)

5x + 5

b)

10x

72.

If 4x = -12, x =

a)

3

b)

-3

c)

8

d)

-8

73.

-2(x - 5) =

a)

-2x + 10

b)

-2x - 10

c)

2x + 10

d)

2x - 10

74.

Which probability is least likely?

a)

0.25

b)

1/10

c)

0.9

d)

1/2

75.

The probability of flipping a coin and getting heads is...

a)

1/2

b)

1.0

c)

2.0

d)

0.05

76.

45% is equal to what as a decimal?

a)

45

b)

0.45

c)

0.045

d)

4.5

77.

1% is equal to what as a decimal?

a)

0.01

b)

0.1

c)

1.0

d)

100

78.

7/8 ______ 1.4

a)

>

b)

<

c)

=

79.

4x - 5 - 7x

a)

-3x - 5

b)

-8x

c)

11x - 5

d)

3x - 5

80.

3(2y - 7)

a)

6y + 7

b)

6y - 7

c)

6y + 21

d)

6y - 21

81.

7a(3b - 2c + 4)

a)

10ab + 5ac + 11a

b)

10ab - 14ac + 11a

c)

21ab - 14ac + 28a

d)

21ab + 14ac + 28a

82.

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

a)

10w + 21

b)

-4w + 1

c)

3w + 5

d)

2w - 5

83.

Solve the equation:
4p = 16

a)

p = 12

b)

p = 64

c)

p = 3

d)

p = 4

84.

y - 33 = 147

a)

y = 114

b)

y = 177

c)

y = 180

d)

Answer not Given

85.

Solve for x:

a)

20

b)

7

c)

10

d)

3

86.

3c + 5 = 23

a)

c = 3

b)

c = 6

c)

c = 7

d)

c = 18

87.

-5 + 7k = -19

a)

-3

b)

5

c)

2

d)

-2

88.

Level 3

Solve for a

a)

a= -2

b)

a= -6

c)

a= 3

d)

a= 15

89.

Solve: -2x ≤ 14

a)

x ≤ 7

b)

x ≤ -7

c)

x ≥ 7

d)

x ≥ -7

90.

You flip an inequality symbol when you...

a)

subtract

b)

multiply and divide only

c)

multiple by a negative number

d)

multiple or divide by a negative number

91.

Match the graph with its inequality.

a)

a > 11

b)

a < 11

c)

a ≥ 11

d)

a ≤ 11

92.

Does the table represent a proportional relationship?

a)

yes

b)

no

93.

Does the table represent a proportional relationship?

a)

yes

b)

no

94.

Does the graph represent a proportional relationship?

a)

yes

b)

no

95.

Does the graph represent a proportional relationship?

a)

yes

b)

no

96.

A proportional relationship can be written as an equation in the form
____ = _____ _____

a)

y = k+x

b)

y = k-x

c)

y = kx

d)

y = k/x

97.

What does k represent in the equation y = kx?

a)

independent variable

b)

constant of proportionality

c)

dependent variable

d)

krispy kreme

98.

Match the following decimals to their percentage equivalent

a)

50%

1.

0.50

b)

5%

2.

0.05

c)

105%

3.

1.05

d)

100%

4.

1

e)

3.31%

5.

0.0331

99.

What is 10% of 275

a)

27

b)

27.05

c)

2750

d)

27.5

100.

10% of the 7th graders at a middle school take art as an elective. If 20 students take art, how many students are in the entire school?

a)

200

b)

400

c)

300

d)

250

101.

Solve for x

a)

x=6

b)

x =1/6

c)

x = 7

d)

x=9

102.

A bank is offering a savings account that earns 1.5% interest every year. If you have $500 with which to open the account and are not going to withdraw or deposit any money from it, how much total money would you have after 3 years?

a)

$2250

b)

$225

c)

$22.50

d)

$522.50

103.

The Rubber Ducky Company increased their production of ducks from 2,500 ducks last
year to 3,250 ducks this year. By what percent did they increase their production?

a)

30%

b)

77%

c)

130%

d)

177%

104.

Is this a correct answer?

a)

Yes, the student correctly added.

b)

No, you cannot add unlike denominators

c)

No, 5 + 7 is not 12

d)

No, 2 + 3 is not 5

7th Grade IAR Review

Total questions: 104

Worksheet time: 3hrs 4mins

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