Free Printable 7th Grade IAR Review

1.

In the first round of a card game, Emilio scored 20 points. Then he lost 10 points on one turn and lost 25 points on his final turn. What is Emilio's final score?

(a)

2.

What is the additive inverse of 4.5?

a)

$\left|4.5\right|$

b)

$4\frac{1}{2}$

c)

-4.5

d)

$\left|-4.5\right|$

3.

A fish finder shows a large fish at 13 feet below the surface of the water and a smaller fish located 4 feet below the surface of the water. Select all the expressions that are equivalent to the distance between the fish.

a)

$\left|-13\ +\ \left(-4\right)\right|$

b)

$\left|-13-\left(-4\right)\right|$

c)

$\left|-13-4\right|$

d)

$\left|-4+\left(-13\right)\right|$

4.

A marathon is 26.2 miles long. There is a water station every $1\frac{1}{4}$ miles along the race route and at the finish line. How many water stations are needed for this marathon?

a)

12

b)

16

c)

21

d)

26

5.

A remote-control airplane is descending (going down) at a rate of 24.91 meters per second. What will be its change in height after $3\frac{1}{2}$ seconds? Round your answer to the nearest meter.

a)

87 m

b)

870 m

c)

-87 m

d)

-870 m

6.

What is $\left|-11\right|$ ?

(a)

7.

What is the opposite of 3?

(a)

8.

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

9.

Candice and Chris run a relay race at recess. Candice runs 1 ⅓ of a lap around the track. Chris runs ½ of a lap around the track. How much farther does Candice run than Chris?

a)

⅚ laps

b)

⅔ laps

c)

¾ laps

d)

⅙ laps

10.

-7 - 2

a)

-9

b)

9

c)

5

d)

-5

11.

-8 - (-4) =

a)

12

b)

-12

c)

4

d)

-4

12.

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

a)

6n + 5

b)

n + 5

c)

3n

d)

3n + 5

13.

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

a)

5x + 1

b)

3x + 2

c)

5x + 2

d)

11x

14.

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

15.

Solve
-5t + 9 = 24

a)

t = -3

b)

t = 3

c)

t = 6

d)

t = 12

16.

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

a)

x = 22

b)

x = -22

c)

x = 1

d)

x = -1

17.

Factor the following expression completely:
16x + 24

a)

10(6x + 14)

b)

8(2x + 3)

c)

8x(2 + 3)

d)

4(2x + 6)

18.

When you graph an inequality, you used a closed dot when you use which symbols?

a)

≤, ≥

b)

<, >

19.

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

a)

<, >

b)

≤, ≥

20.

6 - 2h > 30

a)

h < 24

b)

18 > h

c)

h > 12

d)

h < -12

21.

a)

x is less than or equal to -2

b)

x < -2

c)

-2 < x

d)

x is greater than -2

22.

a)

x > 1

b)

1 ≥ x

c)

x is greater than or equal to 1

d)

x is less than or equal to 1

23.

When do you "flip the inequalities sign"?

a)

When you add or subtract a negative

b)

When it's a 1-step problem

c)

When you multiply or divide a negative

d)

When it's a 2-step problem

24.

Which of these keywords would match the inequality symbol " ≤ "

a)

No Fewer Than

b)

Above

c)

Budget

d)

Fewer Than

25.

Which Keyword would match the inequality symbol " ≥ "

a)

Budget

b)

No More Than

c)

At Least

d)

Exceeds

26.

Melissa wants to spend no more than $300 on school clothes. She spends $75 on a coat and then wants to buy some sweaters that are on special for $10 each. Write an inequality to show how many sweaters Melissa can buy. DO NOT SOLVE

a)

75x-10 ≥ 300

b)

75+10 ≤ 300x

c)

10x ≥ 300

d)

75+10x ≤ 300

27.

Does the table represent a proportional relationship?

a)

yes

b)

no

28.

Does the table represent a proportional relationship?

a)

yes

b)

no

29.

Does the graph represent a proportional relationship?

a)

yes

b)

no

30.

Does the graph represent a proportional relationship?

a)

yes

b)

no

31.

Which equation represents a proportional relationship?

a)

y = x + 3

b)

y = x - 9

c)

y = 7x

d)

y = 4x + 1

32.

Which equation DOES NOT represent a proportional relationship?

a)

y = 11x

b)

y = x/4

c)

y = 1/2 x

d)

y = x + 3

33.

What is the equation y=kx for the table?

a)

y=1/3x

b)

y=3x

c)

y=5x

d)

y=1/5x

34.

The constant of proportionality in the equation y = ½x is _______.

a)

x

b)

y

c)

1/2

d)

2

35.

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

36.

Find the unit rate: $3.60 for 3 pounds of apples. How much does it cost for 1 pound of apples?

a)

$1.00 per pound

b)

$3.60 per pound

c)

$1.20 per pound

d)

$1.10 per pound

37.

Jasmin is baking a cake that calls for 1/4 cup water for every 1/2 cup of flour. How much flour will she need if she uses 1.5 cups of water?

a)

4 cups of flour

b)

.75 cups of flour

c)

3 cups of flour

d)

.25 cups of flour

38.

What does the point (2, 94) represent in this situation?

a)

Every week, they earn $94.

b)

After 94 weeks, they save $2.

c)

After 1 week, they save $47.

d)

After 2 weeks, they save $94.

39.

a)

8

b)

9

c)

72

d)

12

40.

The cost of 50 apples is $25.00. How much would 75 apples cost?

a)

$12.50

b)

$50.00

c)

$37.50

d)

$75.00

41.

The number of people signed up for a bus trip increased from 32 to 45. What is the percent increase? Round to the nearest percent.

a)

52%

b)

41%

c)

42%

d)

45%

42.

Rosa and her friends are eating out for dinner. The bill was $45.80. They want to leave a 20% tip. How much should they leave for tip?

a)

$54.96

b)

$45.80

c)

$9.16

d)

$20

43.

Juanita is shopping for a new shirt, and she has narrowed her decision down to two. Both shirts are $35, and both are on sale. Shirt A is 25% off. Shirt B is $10 off. Which shirt is the better deal?

a)

Shirt A

b)

Shirt B

c)

The discount is the same.

d)

The blue one.

44.

Jerry borrowed $4,000 for 5 years at 6% simple interest rate. How much interest is that?

a)

$800

b)

$1,000

c)

$1,200

d)

$1,500

45.

200 children attended the school play. Of the total attendance, 40% were boys. How many girls attended the school play?

a)

800

b)

180

c)

80

d)

120

46.

Ella makes 6/15 of her shots in the game. Write this fraction as a percent.

a)

60%

b)

61.5%

c)

30%

d)

40%

47.

Which of the following expression(s) are equivalent to 0.14? Select all that apply.

a)

7/50

b)

14%

c)

14/100

d)

1/4

e)

4/25

48.

Match the vocabulary with the correct meaning

a)

Two angles with the sum of 180°.

1.

Supplementary Angles

b)

Two angles directly across that are congruent, sharing only a vertex

2.

Vertical Angles

c)

Angles that are side by side, sharing a ray and a vertex

3.

Adjacent angles

d)

Geometry term meaning equal

4.

Congruent

49.

What is the supplement to 85°

(a)

50.

What is the complement to 30°

(a)

51.

a)

Angles 1 and 2 are adjacent angles.

b)

Angles 3 and 4 are complementaryangles.

c)

Angle 5 + 􏰄Angle 6􏰂 = 180􏰍

d)

Angles 3 and 6 are vertical angles.

52.

Solve for x

a)

6

b)

140

c)

20

d)

90

53.

Find the measure of the indicated angle.

a)

$135\degree$

b)

$55\degree$

c)

$45\degree$

d)

$60\degree$

54.

The Triangle Sum Theorem states that the sum of all angles in a triangle is ______.

a)

45°

b)

90°

c)

180°

d)

360°

55.

What is a possible third side to a triangle with side lengths of 13 and 4?

a)

9

b)

12

c)

8

d)

5

56.

Find the area of the circle below.

a)

100 cm²

b)

225 cm²

c)

9 cm²

d)

28.26 cm²

57.

a)

16 square inches

b)

12 square inches

c)

24 square inches

d)

48 square inches

58.

The pair of figures is similar. Find the missing side.

a)

x = 20

b)

x = 12

c)

x = 5

d)

x = 4

59.

What is the scale factor from the small fry to the large fry?

a)

1/3

b)

48

c)

4

d)

3

60.

Using this scale drawing, what is the real length of the side that measures 8 inches?

a)

8

b)

16

c)

32

d)

40

7th Grade IAR Review

Total questions: 60

Worksheet time: 2hrs 28mins

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