Free Printable 7th Grade Semester 1 GMAS Ultimate Review

1.

Select the best model for "11 + (-5)"

a)

b)

c)

2.

Which addition expression matches the problem shown on the number line?

a)

3 + -4

b)

-4 + 3

c)

7 + -4

d)

-4 + 7

3.

What equation is modeled?

a)

-7 + 8 =1

b)

-7 + 9 = 1

c)

1 + -7 = -7

d)

8 + -7 = 1

4.

What equation is modeled?

a)

15 + 25 = -10

b)

15 + -25 = -10

c)

-10 + 15 = -10

d)

-25 + 15 = -10

5.

A submarine was 1800 ft below sea level. It dove another 1500 feet deeper. Which integer represents its location?

a)

-300

b)

-1300

c)

-3300

d)

300

6.

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

7.

Mt. Everest is 29,028 feet above sea level. The Dead Sea is 1,312 feet below sea level. What is the different between these two elevations?

**only answer with the integer, NO WORDS**

(a)

8.

In Buffalo, NY, the temperature was -14 degrees in the morning. If the temperature dropped 7 degrees, what is the temperature now?

**only answer with the integer, NO WORDS**

(a)

9.

A submarine was situated 800 feet below sea level. If it ascends 250 feet, what is its new position?

**only answer with the integer, NO WORDS**

(a)

10.

difference

a)

result of addtion

b)

result of subtraction

c)

result of multiplication

d)

result of division

11.

product

a)

result of addtion

b)

result of subtraction

c)

result of multiplication

d)

result of division

12.

quotient

a)

result of addtion

b)

result of subtraction

c)

result of multiplication

d)

result of division

13.

having the same value

a)

term

b)

factor

c)

equivalent

d)

product

14.

A drought can cause the level of the local water supply to drop by a few inches each week. Suppose the level of the water supply drops 2 inches each week. How much will it change in 4 weeks?

a)

-16 inches

b)

-8 inches

c)

-2 inches

15.

Jessica pumped 42 gallons of water out of her pool. This was done over a period of 6 minutes at a constant rate. What was the change in the amount of water in the pool each minute?

a)

-7 gallons

b)

7 gallons

c)

-252 gallons

d)

252 gallons

16.

Jose added 3 fish to his pond each day for 18 days. What was the total change in the number of fish in the pond?

a)

-54 fish

b)

54 fish

c)

6 fish

d)

-6 fish

17.

Ascend

a)

Positive

b)

Negative

18.

Below Sea Level

a)

Positive

b)

Negative

19.

Loss

a)

Positive

b)

Negative

20.

Withdraw

a)

Positive

b)

Negative

21.

Deposit

a)

Positive

b)

Negative

22.

Profit

a)

Positive

b)

Negative

23.

Deduct

a)

Positive

b)

Negative

24.

The sum of a four times number and two

a)

4x+2

b)

4(x+2)

c)

4+x+2

d)

x/4 +2

25.

Nine times the difference of seven times a number and four

a)

9(7n-4)

b)

9*7n-4

c)

7(9n-4)

d)

$\frac{9\cdot7n}{4}$

26.

The difference between nine and a number times three

a)

9-3n

b)

3n-9

c)

9n-3

d)

3-9n

27.

the quotient of four and a number, then add 5

a)

$\frac{4}{n+5}$

b)

$\frac{n+5}{4}$

c)

$\frac{4}{n}+5$

d)

$\frac{5}{n}+4$

28.

An expression does NOT have an

a)

equal sign

b)

operation sign

c)

terms

d)

variables

29.

What is the coefficient in this expression? 5c + 2

a)

5c

b)

c

c)

5

d)

2

30.

What is the constant in this expression? 5c + 2

a)

c

b)

5

c)

5c

d)

2

31.

What is the variable in this expression? 5c + 2

a)

5

b)

5c

c)

c

d)

2

32.

Identify the coefficient of the algebraic expression:

3x + 5

a)

3

b)

x

c)

5

d)

3x and 5

33.

Combine Like Terms:

3a + 4a + 9

a)

7a

b)

16a

c)

7a + 9

d)

1a + 9

34.

Distribute:

-2(x + 7)

a)

-2x - 14

b)

-2x + 14

c)

-2x + 7

d)

-2x - 7

35.

Combine Like Terms:

6b + 5 - 2b + 6

a)

4b + 11

b)

8b + 11

c)

4b + 1

d)

8b + 1

36.

-4(-4d - 5)

a)

-16d+20

b)

16+20

c)

16d+20

d)

16s-20

37.

-8(6x + 3)

a)

48X+3

b)

-48X-3

c)

14x+3

d)

-48x-24

38.

Simplify the following expression:

-6x + 4(x - 3)

a)

-2x - 12

b)

10x + 12

c)

-10x - 12

d)

-2x + 12

39.

5a + 2b - 7b + 4a

a)

7b - 3a

b)

9a - 5b

c)

4ab

d)

12a + 6b

40.

Simplify the following expression:
-10x + 15 - 3x + 2

a)

7x + 17

b)

-7x+ 13

c)

-13x + 17

d)

-13x + 13

41.

3(2x + 4) + 4(x - 5)

a)

10x + 32

b)

10x - 8

c)

9x - 8

d)

10x - 1

42.

Solve the equation:
-2.6 + x = -4.6

a)

x = 2

b)

x = -2

c)

x = 7.2

d)

x = -7.2

43.

Solve the equation:
x - 5.5 = 10.5

a)

x = 16

b)

x = -15

c)

x = 5

d)

x = -5

44.

Solve

a)

9.7

b)

7.9

c)

97

d)

79

45.

$\frac{5}{24}+c=\frac{1}{3}$

a)

$\frac{1}{8}$

b)

$\frac{2}{3}$

c)

$\frac{6}{24}$

d)

$\frac{4}{24}$

46.

$\frac{t}{-8}=\ -5$

a)

t = 3

b)

t = -40

c)

t = -3

d)

t = 40

47.

Solve for x

$\frac{x}{-4.3}=\ 10.9$

a)

-46.87

b)

46.87

c)

15.2

d)

2.5

48.

$\frac{4}{9}=y-\frac{2}{5}$

a)

$\frac{17}{45}$

b)

$\frac{38}{45}$

c)

$\frac{1}{5}$

d)

$\frac{5}{9}$

49.

Solve the equation. Check your solution.

a)

72

b)

.5

c)

¹/₂

d)

2

50.

$-\frac{2}{5}+x=-1\frac{2}{3}$

CHALLENGE

Solve for x.

51.

$-\frac{x}{19}=-5.6$

Solve for x.

a)

110.4

b)

3.4

c)

13.4

d)

106.4

52.

$-\frac{3}{7}+y=\frac{2}{5}$

Solve for y.

a)

$-\frac{29}{35}$

b)

$\frac{5}{35}\ or\ \frac{1}{7}$

c)

$\frac{29}{35}$

d)

$-\frac{5}{35}\ or\ -\frac{1}{7}$

53.

$y\ -\ \frac{3}{4}=\frac{2}{3}$

How do you undo subtracting 3/4?

a)

add 3/4 to both sides of equation

b)

subtract 3/4 from both sides of equation

c)

multiply 3/4 on both sides of equation

d)

divide 3/4 on both sides of equation

54.

3\ +\ \frac{1}{4}a\ =\ 31

a)

a= 28

b)

a= 112

c)

a= 7

d)

a= 67

55.

7\ +\ \frac{a}{3}=\ 5

a)

a= -2

b)

a= -6

c)

a= 3

d)

a= 15

56.

4c - 6 = 2

a)

2

b)

-2

c)

1

d)

3

57.

2k + 12 = -4

a)

-8

b)

8

c)

-10

d)

4

58.

Which step should you perform first in the following equation:

\frac{2}{3}x\ +\ 7\ =\ 15

a)

Add 7 to both sides

b)

Subtract 7 from both sides

c)

Multiply both sides by $\frac{2}{3}$

d)

Multiply both sides by $\frac{3}{2}$

59.

-5 = 3m - 14

a)

3

b)

-3

c)

12

d)

-6.3

60.

Which step should you perform first in the following equation:

21\ =\ 9\ -\ 4g

a)

Divide both sides by -4

b)

Divide both sides by 4

c)

Add 9 to both sides

d)

Subtract 9 from both sides

61.

331 students went on a field trip. Six buses were filled and 7 students traveled in cars. How many students were in each bus? Write an equation that matches this situation.

a)

331=7x+6

b)

331=13x

c)

331=6x+7

d)

331-7=6x

62.

WRITE AN EQUATION

Aliyah had $24 to spend on seven pencils. After buying them she had $10. How much did each pencil cost?

a)

24-10=7x

b)

24+7x=10

c)

10+7x=24

d)

10+x=14

63.

Penelope is going to the carnival to ride the rides. It costs $20 to get into the carnival and ride tickets are $0.50 each. Write an equation that represents this scenario if she spends $35 in all.

a)

.50x + 20 = 35

b)

.50x = 35

c)

.50 + 20x = 35

d)

.50x - 20 = 35

64.

A taxi charges $3, plus $1.50 for each mile traveled. Mr. Lewis rode in the taxi from his home to the airport and was charged $30. How many miles does Mr. Lewis live from the airport?

a)

18 miles

b)

20 miles

c)

22 miles

65.

Scott works on cars. He charges $35 for each car plus $7 per hour. Write an equation that represents this scenario if Kylie's car bill was $63.

a)

7x + 35 = 63

b)

7x = 63

c)

7x - 35 = 63

d)

35x + 7 = 63

66.

Solve the inequality.

(a)

67.

Solve the inequality.

(a)

68.

Solve the inequality.

(a)

69.

Solve the inequality.

(a)

70.

Solve the inequality.

a)

x < 16

b)

x > 16

c)

x $\ge$ 16

d)

x $\le$ 16

71.

Solve and graph the inequality.
$\frac{5+a}{7}\le2$

a)

A

b)

B

c)

C

d)

D

72.

Solve and graph the inequality.
$-2+\frac{m}{4}\le-7$

a)

A

b)

B

c)

C

d)

D

73.

Solve and graph the inequality.
$-8>\frac{1+k}{2}$

a)

A

b)

B

c)

C

d)

D

74.

Solve and graph the inequality.
$-6+n>10$

a)

A

b)

B

c)

C

d)

D

75.

Select the options to describe how to graph on a number line.

$12\le x$

a)

Open Circle

b)

Closed Circle

c)

Arrow Right

d)

Arrow Left

76.

Select the options to describe how to graph on a number line.

$x\le12$

a)

Open Circle

b)

Closed Circle

c)

Arrow Right

d)

Arrow Left

77.

$6<x$

Is equivalent to...

a)

$x>6$

b)

$x<6$

78.

$\frac{x}{-7}\ge28$

a)

$x\ge-196$

b)

$x\ge-4$

c)

$x\le-196$

d)

$x\le-4$

79.

Solve:

$-7m<28$

a)

m < -4

b)

m > -4

c)

m < 21

d)

m > 21

80.

Pick the correct letter for:
$6\le x$

a)

A

b)

B

c)

C

d)

D

81.

The 30 members of a choir are trying to raise at least $1,500 to cover travel costs to a singing camp. They have already raised $600. Which inequality could you solve to find the average amounts each member can raise that will at least meet the goal?

a)

30x + 600 > 1,500

b)

30x + 600 ≥ 1,500

c)

30x + 600 < 1,500

d)

30x + 600 < 1,500

82.

The dance committee hired a DJ for the fall dance. The DJ charges $125 per hour in addition to $55 for an assistant. The committee wants to keep the total cost under $600. Which inequality represents the maximum amount of hours the DJ will play at the dance?

a)

125x + 55 ≤ 600

b)

125x + 55 ≥ 600

c)

125x + 55 > 600

d)

125+ 55x < 600

83.

A willow tree is 5.1 feet tall and grows at a rate of 2.5 feet a year. After how many years will the tree have reached no more than 60 feet tall?

a)

5.1 + 2.5y ≥ 60

b)

60 < 5.1 + 2.5

c)

5.1 + 2.5y ≤ 60

d)

5.1 + 2.5y > 60

84.

Mrs. Scott decided that she would spend no more than $120 to buy a jacket and a skirt. If the price of the jacket was $20 more than 3 times the price of the skirt, which inequality represents the highest possible price of the skirt?

a)

20x + 120 ≥ 3

b)

x/3 + 20 ≤ 120

c)

3x + 20 ≤ 120

d)

3x + 20 ≥ 120

85.

Saylor is selling Lemonade. Her goal is to make $60. If she sells 2 cups of lemonade for 3 dollars, how many cups of lemonade does she need to sell to reach her goal?

a)

20 cups

b)

30 cups

c)

180 cups

d)

40 cups

86.

Cali is a runner that typically runs a 5 kilometer race in 40 minutes. I she runs at the same rate, how long will it take her to run a half marathon (13.1 kilometers)?

a)

104.8 minutes

b)

15.3 minutes

c)

91.7 minutes

d)

117.9 minutes

87.

Julie is doing a road trip across the USA. Her total trip is 12,290 miles. If she is able to travel 819 miles in two days, how many days will it take her to complete her trip?

a)

30 days

b)

25 days

c)

29 days

d)

23 days

88.

Is this table proportional?

a)

Yes

b)

No

89.

What is the constant of proportionality?

a)

$3

b)

$4

c)

$2

d)

$9

90.

Is this table proportional?

a)

Yes

b)

No

91.

A chef used 1 ⁄4 of a bag of potatoes to make 1 gallon of stew. If he wanted to make 6 gallons of stew, how many bags of potatoes would he need?

a)

1.5 bags of potatoes

b)

0.25 bags of potatoes

c)

2 bags of potatoes

d)

3.5 bags of potaotes

92.

A carpenter used 1 ⁄2 of a box of nails while working on a birdhouse and was able to finish 1 ⁄4 of it. At this rate, how many boxes will he need to finish 1 birdhouse?

a)

2 boxes

b)

3 boxes

c)

4 boxes

d)

5 boxes

93.

A water hose had filled up 1/7 of a pool after 1/10 of an hour. At this rate, how many hours would it take to fill the (1) pool?

a)

7/10 of an hour

b)

1/8 of an hour

c)

1/10 of an hour

d)

7/8 of an hour

94.

Sargento cheese slices $2.48 for 10 slices
or
Velveeta Cheese slices $3.18 for 12 slices
Find the unit price for each and choose the better deal.

a)

Sargento

b)

Velveeta

95.

Goldfish crackers $1.99 for 7.2 oz.
or
Cheez-its $2.70 for 13.7 oz.
Find the unit price of each and choose the better deal.

a)

Goldfish

b)

Cheez-its

96.

Oreos $2.98 for 15.5 oz.
or
Chips Ahoy $2.50 for 14 oz.
Find the unit price of each and choose the better deal.

a)

Oreos

b)

Chips Ahoy

97.

Jane is buying coffee. Coffee Shop A sells 30 ounces for $9.95, and Coffee Shop B sells 12 ounces for $3.50. Which coffee shop is cheaper per ounce?

a)

A, because they are selling more coffee in total.

b)

A, because their unit price is $0.29 per ounce, whereas B's is $0.33 per ounce.

c)

B, because their unit price is $0.29 per ounce, and A's is $0.33 per ounce.

98.

What is the unit rate?

a)

$80 per hour

b)

$40 per hour

c)

$20 per hour

d)

$10 per hour

99.

Desha is making pancakes. She uses 2.5 cups a flour for 4 servings. How much flour will she need for 6 servings?

a)

$3\frac{3}{4}$ cups

b)

$2\frac{3}{4}$ cups

c)

$3\frac{1}{4}$ cups

d)

$2\frac{1}{4}$ cups

100.

Find the height of a door on a scale drawing if the door is 2 meters tall and the scale is 1 centimeter = 4 meters. Round to the nearest tenth

a)

2 cm

b)

1/2 cm

c)

8 cm

d)

1/4 cm

101.

An engineering scale model shows a church that is 2 inches tall. If the scale is 1 inch = 265 feet, how tall is the actual church?

a)

132.5 ft

b)

132.5 in

c)

530 ft

d)

530 in

102.

The scale on a map is 1 cm for every 400 km. If Maine and Japan are 22 cm apart on the map, what is the distance between Maine and Japan?

a)

8,800 km

b)

18.18 cm

c)

800 km

d)

18.18 km

103.

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

a)

x = 10

b)

x = 4

c)

x = 2

d)

x = 5

104.

Solve for x.

a)

2

b)

4.5

c)

7

d)

4

105.

What is the scale factor?

a)

$\frac{1}{3}$

b)

5

c)

$\frac{1}{2}$

d)

9

106.

Which of the following are non-proportional?

a)

5 lbs for $4.00

&

7 lbs for 5.60

b)

2.6 miles in 19.5 minutes &

5.8 miles in 43.5 minutes

c)

1.5 cups of sugar for 3 lemons & 2.5 cups of sugar for 5 lemons

d)

$15.75 for 3 cups of coffee and $26.75 for 5 cups of coffee

107.

$\frac{5}{3.2}=\frac{6}{x}$

a)

3.84

b)

2.67

c)

9.38

d)

4.12

108.

Solve for x

a)

x = 15

b)

x = 11

c)

x = 1/11

d)

x = 20

109.

Is this a proportion?

a)

YES

b)

NO

110.

Does this table show a proportional relationship? If so, what is the constant of proportionality?

(a)

Choose from the below words

Yes, 3 is the constant of proportionality

Yes, 1/3 is the constant of proportionality

Yes, 2.5 is the constant of proportionality

No, the quantities are not proportional

111.

The value of y is directly proportional to x. Find the constant of proportionality when x = 16 and y = 4.

a)

1/4

b)

4

c)

1/16

d)

1/3

112.

Which of the following is an ordered pair on the graph? What does it represent in the situation? (a)

Choose from the below words

(30,5); Every 30 earth pounds equals 5 moon pounds

(30,5); Every 5 earth pounds equals 30 moon pounds

(5, 30); Every 5 earth pounds is 30 moon pounds

113.

Which equation shows the proportional relationship for the graph?

a)

y=1/50x

b)

y = 100x

c)

y=50x

d)

y = 10x

114.

Tell whether Y is directly proportional to X or not based on the data in the table. If so, what is the constant of proportionality?

a)

No, the data is not proportional

b)

Yes, K= 0.03

c)

Yes, K=25

d)

Yes, K=30

115.

The constant of proportionality is (a) . There are 200 stars on (b) flags.

Choose from the below words

50

4

25

100

5

2

116.

Which relationships have the same constant of proportionality between y and x as in the equation y=2x? (Select 2)

a)

b)

c)

d)

117.

A printer makes 9 posters every 3 minutes. The number of posters printed is proportional to the number of minutes the printer runs. K=3. Which of the following statements is true of the constant of proportionality?

a)

There are 9 posters every 3 minutes printed

b)

There is one poster printed every 9 minutes

c)

There is three posters printed for every one minute

d)

None, this is not a proportional relationship

118.

A grocery store charges $6 for 3 pounds of apples. The total cost is proportional to the number of pounds purchased. Let C represent the cost, and A represent the number of apples. Which equation best describes the relationship between C and A?

a)

C = 6A

b)

C = 2A

c)

C = 1/2A

d)

A=2C

119.

The slope of segment DE is (a) the slope of segment AB.

Choose from the below words

equal to

greater than

less than

120.

If y is directly proportional to x and y = 18 when x = 6, what is the equation that represents this relationship?

a)

y = 3x

b)

y = 6x

c)

y = x/3

d)

y = 18x

121.

A car travels 120 miles in 2 hours. The distance traveled is proportional to the time spent driving. What is the constant of proportionality?

a)

60

b)

240

c)

2

d)

120

122.

The graph represents the number of plants produced to the number of seed packets used.

What is the constant of proportionality?

123.

Using a proportion, find the height of the tree.

a)

0.0625 ft.

b)

16 ft

c)

8 ft

d)

18 ft

124.

Solve for X

a)

X = 2

b)

X = 4

c)

X = 8

d)

X = 32

125.

A pencil making machine took 1/10 of a second to make enough pencils to fill 1/2 of a box. At this rate, how long would it take the machine to fill the entire (1) box?

a)

1/5 of a second

b)

1/10 of a second

c)

1/8 of a second

d)

3/10 of a second

126.

Haley spent 1/2 of an hour playing on her phone. That used up 1/9 of her battery. How long would she have to play on her phone to use the entire (1) battery?

a)

4.5 hours

b)

1.5 hours

c)

2.5 hours

d)

3.5 hours

127.

Kevin is mixing paint to make orange. The ratio of red paint to yellow paint is 3 oz to 5 oz. How much yellow paint should he mix with 9 oz of red paint?

a)

15 oz

b)

30 oz

c)

45 oz

d)

11 oz

128.

I have read 146 pages in 3 hours. How long would it take to read an entire 390 page book?

Choose the correct proportion.

a)

$\frac{146\ pages}{3\ hours\ }=\frac{390\ pages}{x\ hours}$

b)

$\frac{146\ pages}{390\ pages\ }=\frac{x\ hours}{3\ hours}$

c)

$\frac{146\ pages}{x\ hours\ }=\frac{390\ pages}{3\ hours}$

d)

$\frac{3\ hours}{x\ hours\ }=\frac{390\ pages}{146\ pages}$

129.

A cyclist covers 2/3 of a track in 1/4 hour. At this rate, how many tracks can they cycle per hour?

a)

2 2/3 tracks

b)

3 tracks

c)

2 1/2 tracks

d)

3 1/3 tracks

130.

If 3 pounds of apples costs $0.90, how much will 10 pounds cost?

a)

$3.00

b)

$2.50

c)

$3.50

d)

$2.25

131.

A cake recipe calls for 1.5 cups of milk and 3 cups of flour. Seth made a mistake and used 5 cups of flour. How many cups of milk should he use to keep the proportions correct?

a)

2.5 cups milk

b)

1.75 cups milk

c)

2 cups flour

d)

2.25 cups milk

132.

Which company will save you the most money if you rafted 5 hours?

a)

Ryan's Rafts because it costs $6 per hour cheaper.

b)

Water's Edge Rafts because it costs $30 per hour cheaper.

c)

Ryan's Rafts because it costs $4.80 per hour cheaper.

d)

Water's Edge because it costs $1 per 15 hours cheaper.

133.

A Fred runs 4 miles in 32 minutes. The number of miles , m , is proportional to the number of minutes, t. Write an equation that can be used to represent the relationship between miles (m) and minutes (t). DO NOT USE SPACES AND LOWER CASE ONLY

a)

m=8t

b)

t=8m

c)

m=1/8t

d)

t=1/8m

134.

Annie bought a brand new car for $32,000. The car is now worth $21,000. Find the percent decrease and round to the nearest tenths.

(a)

135.

Sally used a 40% off coupon to purchase a jacket. If she paid $33.00, how much was the original price of the sweater?

(a)

136.

A shirt last month cost $35.20. This month there was a 9.3% increase. Find the price of the shirt now. Round to the nearest cent.

(a)

137.

Jonah bought a new North Face jacket priced at $135. Sales tax in his area is 8.5%, how much will he need to pay? Round to the nearest cent.

(a)

138.

Pam makes a 6.7% commission selling jewelry. Today she sold a $7,500 dollar engagement ring. How much will she earn off of this purchase. Round to the nearest cent

(a)

139.

Sam needs a 90% or higher on his next CIA. If there are 24 questions? What is the least amount of questions he needs to get correct to reach his goal?

(a)

7th Grade Semester 1 GMAS Ultimate Review

Total questions: 139

Worksheet time: 6hrs 17mins

Similar Resources on Wayground