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Worksheets7th Grade GMAS Test Practice
Total questions: 102
Worksheet time: 54mins
What is the additive inverse of 2/5?
2/5
-2/5
5/2
-5/2
What is the additive inverse of -3.2?
+3.2
-3.2
+2.3
-2.3
What number will complete the equation? -3 + 4 + __ = 0
+3
-4
-7
-1
Sara had a balance of $350 in her bank account. Her electric bill was $375. After she pays the electric bill, what amount of money should she deposit to bring her bank account back to $0?
$375
$350
$25
$50
A scuba diver reached a depth of -14 feet (below sea level). The diver descended another -12 feet. How many feet will the diver have to travel to return to sea level?
+26 ft.
-26 ft.
+14 ft.
+2 ft.
Which expression best represents the number line below?
(-4) + (+3)
(-4) – (+3)
(-4) – (+7)
(-4) + (+7)
Which expression best represents the number line below?
–6 + (–4)
–6 – (–4)
–6 + (–10)
+4 + (–6)
Which number line shows the additive inverse property?
A
B
C
D
On Tuesday morning, the temperature was recorded at 5°C. Over the course of the day, the temperature dropped 7°. After this drop, what temperature will be recorded?
12° C
2° C
–2° C
–12° C
Which expression is equivalent to –21?
9 – (–12)
9 + (–12)
–9 + 12
–9 – 12
What is the distance (in units) between 4 and –9 on a number line?
5 units
–5 units
13 units
–13 units
A helicopter is flying directly above a submarine at a position of 125 feet above sea level. The submarine is located at –70 feet below sea level. What expression will calculate the distance between the two vehicles?
125 – 70
|125 – 70|
|125 – (–70)|
|125| – |–70|
A helicopter is flying directly above a submarine at a position of 125 feet above sea level. The submarine is located at –70 feet below sea level. What expression will calculate the distance between the two vehicles?
What is the distance between the two vehicles?
55 feet
–195 feet
–55 feet
195 feet
Evaluate using properties of operations when appropriate.
3/8 + (5/8-2/7)
5/7
-5/7
2 5/8
41/56
Which property of operations is demonstrated in the equation below?
3/8 + (5/8-2/7) = (3/8 + 5/8)-2/7
Commutative Property of Addition
Associative Property of Addition
Identity Property of Addition
Distributive Property
Lindsey was the scorekeeper for a card game that included both negative and positive scores. She has to find the total of the following scores:
(+7) + (−10) + (+5) + (−9).
Lindsey decides to calculate the scores in the following order:
(+7) + (+5) + (−10) + (−9).
Which property of operations justifies her decision?
Commutative Property of Addition
Associative Property of Addition
Identity Property of Addition
Distributive Property
Which scenario might be represented by the expression below? 3(−20)
Making three payments of $20 each to total paying $60
Making 20 payments of $3 each to total paying $60
Three friends giving you $20 each, totaling $60
Paying $3 for each of 20 arcade games, totaling $60 spent on games
Evaluate: 135 / (−3)
45
0.02
−45
−0.02
Which expression is NOT equivalent to the expression below?
-45/67
−45/67
45/−67
−(45/67)
−45/−67
Which scenario might be represented by the expression below? −100/4
Owing $100 on a credit card and making four equal payments totaling $25 each
Spending $100 on each of four friends, totaling $400 spent
Receiving $100 in birthday money each year for four years, totaling $400 in birthday money
Receiving $100 in total from four different friends who have given $25 each
Evaluate using properties of operations when appropriate. −2/3 × 1 x 3/2
1
−1
2/3
−2/3
Which equation properly demonstrates the Identity Property of Addition?
8 + (−8) = 0
3/2 + 0 = 3/2
1/4 × 1 = 1
−8 × 1 = −8
Evaluate: −2.1 × 5
−2.9
2.9
−10.5
10.5
Evaluate: −2 3/8 × (−7/3)
−16/21
16/21
−7/12
7/12
Which expression will have a positive product?
(−1) × (−1) × (−1)
(1) × (−1) × (1)
(−1) × (1) × (−1)
(1) × (1) × (−1)
Which expression is equivalent to the expression below? −1(x − y)
−1xy
−x + y
−x − y
x + y
Which property does the equation below demonstrate?
3(-5 - 10) = (-5 - 10)3
Commutative Property of Multiplication
Associative Property of Multiplication
Identity Property of Multiplication
Distributive Property
Which property does the equation below demonstrate? -4/7 x 1 = -4/7
Commutative Property of Multiplication
Associative Property of Multiplication
Identity Property of Multiplication
Distributive Property
Which property justifies Step 1 shown below?
[(2/5) x 3/4] x 4/3 = 3/4 x [(5/2) x 2/5]
Step 1: 2/5 x (3/4 x 4/3)
Commutative Property of Multiplication
Associative Property of Multiplication
Identity Property of Multiplication
Distributive Property
Convert 4/25 to a decimal number.
0.425
0.16
6.25
0.08
What is -2/9 expressed as a decimal number?
-0.29
-0.2
0.2
-0.2̅
Which decimal number below is not considered to be a rational number?
-0.125
0.3
1.73
3.14159 ...
Evaluate: 1.5 + (-1) x (1/2 + 1/4) - 1/2
0
1
3
-1.5
Evaluate: 6 + (-7) x 2 - 15 / 3
0
-4.3
-13
-5.6
The menu at the local pizza shop is shown: Sadie’s family orders a medium pizza with one topping, a large pizza with three toppings, two salads, and an order of breadsticks. What is the cost of the bill before tax and tip?
$40.25
$43.00
$39.25
$44.00
Ben and his friend share a taxi to work. The taxi driver charges a $2.50 flat fee as well as $0.40 for every 1/5 of a mile traveled. The total distance of the taxi ride was 4.2 miles. Ben and his friend split the final bill. How much did each friend pay?
$5.45
$10.90
$4.18
$6.70
Simplify the expression below. 9x + 10 – 2x + 1
7x + 10
7x + 11
11x + 11
22x
What is the sum of (5x – 10) and (–x + 8)?
2x
4x – 18
6x – 2
4x – 2
What is the difference of (–2x + 9) and (3x – 4)?
–5x + 5
x + 5
–5x + 13
x + 13
Simplify the expression below: –(x + y)
-x – y
–xy
–x + y
x – y
Which expression could NOT be a factored form of the expression below? 10x – 20
10(x – 2)
5(2x – 4)
2(5x – 20)
–2(–5x + 10)
At the movies, the cost of popcorn and the cost of soda can be represented by the expressions shown below. In terms of x, how could the price of one order of popcorn and two sodas be expressed in simplest form?
5x + 5
10x
7x + 5
12x
At a restaurant, Toby knew he would tip his server 20% of whatever the cost (c) of the final bill was. He knew he could use the strategy c + 0.2c to calculate his final cost after paying the 20% tip. Which other process could Toby use to calculate his cost after tip?
c + 20
1.2c
0.8c
c – 0.2c
Which expression could NOT be used to calculate the perimeter of the rectangle below?
2x(2x + 10)
2(2x + x + 10)
2(2x) + 2(x + 10)
2x + 2x + x + 10 + x + 10
When calculating the price (p) of an item that has been marked down by 25%, Denise states that the expression p – 0.25p will calculate the sale price. Kristal says that a shorter way to calculate the sale price would be to use the expression 0.75p. Who is correct?
Denise is correct.
Kristal is correct.
Both Denise and Kristal are correct.
Neither Denise nor Kristal are correct.
When hanging a 2 7/8 ft long wall hanging in the middle of a wall that is 11 ft long, approximately how far from each end of the wall should it be hung to be in the center of the wall?
Approximately 6 ft from each end.
Approximately 3 ft from each end.
Approximately 2 ft from each end.
Approximately 4 ft from each end.
Use the following situation to answer the question:
Lin, Mark and Sara were assigned to read a book for Language class. The book has a total of 250 pages. The current progress of each student is shown in the table.
How many more pages has Mark read than Sara?
150 pages
55 pages
105 pages
45 pages
Use the following situation to answer the question:
Lin, Mark and Sara were assigned to read a book for Language class. The book has a total of 250 pages. The current progress of each student is shown in the table.
How many pages have the three students read combined?
350 pages
305 pages
295 pages
195 pages
Avery is currently making $14 per hour at her job. Her boss gives her a 15% raise for showing good work ethic.
If she works 40 hours every week, how much will her weekly paycheck be at this new rate of pay?
$161.00
$644.00
$560.00
$1,160.00
Avery is currently making $14 per hour at her job. Her boss gives her a 15% raise for showing good work ethic.
If Avery works 40 hours per week, how much more per week will Avery be making than before her 15% raise?
$15.00
$280.00
$84.00
$116.00
Which equation represents the descriptions below? Five more than two times a number is 11.
2(n + 5) = 11
2n + 5 = 11
5(n + 2) = 11
5n + 2 = 11
Which equation represents the description below?
The difference of a number and 15 is multiplied by -3 and the result is -30.
n - 15 × (-3) = -30
n - [15 × (-3)] = -30
-3(n - 15) = -30
-3n - 15 = -30
Solve for x: -4x + 17 = -31
x = 12
x = -12
x = 3.5
x = -3.5
Solve for x: (4/5)x = 20
x = 18
x = 16
x = 24
x = 25
Solve for x: (x - 3/4) = 1/5
x = 19/20
x = 4/9
x = 20/9
x = -2/9
Collin's bowling team practices on a night when the bowling alley offers a special deal of $2 per game. The show rental fee is $3.50.
Which equation would calculate how many games (g) of bowling Collin played if his final cost was $17.50?
2g + 3.5 = 17.5
7.5g = 17.5
2g - 3.5 = 17.5
2g + 3.5g = 17.5
Collin's bowling team practices on a night when the bowling alley offers a special deal of $2 per game. The show rental fee is $3.50.
How many games did Collin bowl?
5 games
7 games
6 games
8 games
Marlee had a certain amount of money (x) in her bank account. She deposited $60.00 from her grandmother for her birthday. She then spent 1/4 of the money in her account on rent that totaled $550.
Which equation represents this situation?
1/4 x + 60 = 550
1/4 (x – 60) = 550
x + 60 x 1/4 = 550
1/4 (x + 60) = 550
Marlee had a certain amount of money (x) in her bank account. She deposited $60.00 from her grandmother for her birthday. She then spent 1/4 of the money in her account on rent that totaled $550.
How much money (x) did Marlee have in her account to begin with?
$2,140.00
$2,440.00
$1,960.00
$790.00
Which sequence of steps will solve the equation for x?
Step 1: Subtract 8 from both sides of the equation Step 2: Divide both sides of the equation by 3
Step 1: Subtract 8 from both sides of the equation Step 2: Multiply both sides of the equation by 3
Step 1: Divide both sides of the equation by 3 Step 2: Add 8 to both sides of the equation
Step 1: Add 8 to both sides of the equation Step 2: Divide both sides of the equation by 3
A rectangle has an area of 195 ft squared. It's width is 13 ft.
Which equation will calculate the length (l) of the rectangle? A rectangle has an area of 195 ft². Its width is 13 ft.
195 x l = 13
13 x l = 195
l + 13 = 195
195 / 13 = l
A rectangle has an area of 195 ft squared. It's width is 13 ft.
What is the length (l) of the rectangle?
84.5 ft.
2,535 ft.
15 ft.
26 ft.
Solve the inequality for x. -5x + 24 > -6
x < 6
x > 6
x < -6
x > -6
Which number line represents the solution to the inequality shown?
Number line with closed circle on 20 and arrow pointing to the left.
Number line with closed circle on 20 and arrow pointing to the right.
Number line with open circle on 20 and arrow pointing to the left.
Number line with open circle on 20 and arrow pointing to the right.
George has $75 saved. He knows he can make $20 for each lawn (l) he mows. He would like his savings account balance to be at least $500 by the end of the summer.
Which inequality represents George’s summer savings goal?
75 + 20l ≥ 500
75 + 20l ≤ 500
75l + 20 ≥ 500
75l + 20 ≤ 500
George has $75 saved. He knows he can make $20 for each lawn (l) he mows. He would like his savings account balance to be at least $500 by the end of the summer.
How many lawns will George have to mow to reach his savings goal?
21 lawns
22 lawns
6 lawns
7 lawns
What is the constant of proportionality in the diagram below?
3
2
2/3
2 2/3
What is the constant of proportionality in the graph below?
4
3
4/3
2
2 1/3
Sara makes $255 for working 15 hours and makes $680 for working 40 hours. What is the constant of proportionality (unit rate) of Sara's rate of pay per hour?
15
2.6
17
12
Which equation shows a proportional relationships between h and m?
m = 55h
m = 12h + 1
m = h – 1
m = h/4
Mike purchased 1.35 pounds of steak for $13.50. Which equation represents the relationship between the cost per pound?
C = 13.50p
C = 10p
C = 3.5p
C = 6.5p
When Julie jogs, she burns 255 calories in 15 minutes and 340 calories in 20 minutes. Which equation represents how many calories (c) she can burn per minute (m)?
C = 17m
C = 15m
C = 85m
C = 20m
Which equation best represents the relationship between hours worked (h) and money earned (M) as shown in the graph below?
M = 10h + 175
M = 175h + 10
M = 17.5h
M = 25h
Which equation best represents the relationship between pounds (p) and total cost (C) as shown in the table below?
C = 1p
C = 0.99p + 1
C = 1.98p + 2
C = 0.99p
Use the situation below to answer questions 75 and 76. The graph below shows a proportional relationship between the amounts of sugar needed to make different amounts of cupcakes. Interpret the coordinate (5, 60).
For every 60 cupcakes made, 5 cups of sugar are used.
For every 5 cupcakes made, 60 cups of sugar are used.
If 5 is multiplied by 60, the product will be the final amount of cupcakes that are made.
If 5 is divided by 60, the quotient will be the final amount of cupcakes that are made.
For the situation above, what would be the value of r in the coordinate (1,r)?
1
12
6
2
The graph below shows the speed of the future "Hyperloop" with the coordinate (8, 6,080) labeled on the line. Which choice best completes and describes the coordinate (1,r)?
(1,760): The coordinate (1,760) describes the unit rate of the graph stating that the “Hyperloop” will have a speed of 760 miles per hour.
(1,760): The coordinate (1,760) describes how long it will take the “Hyperloop” to travel 1 mile.
(1,600): The coordinate (1,600) describes the unit rate of the graph stating that the “Hyperloop” will have a speed of 600 miles per hour.
(1,600): The coordinate (1,600) describes how long it will take the “Hyperloop” to travel 1 mile.
On tax-free weekend, Ben buys school supplies totaling $47.50. He has a sale coupon for 15% off his entire purchase. What will Ben’s final cost be after the 15% discount?
$7.13
$42.35
$40.38
$32.50
Wendy and two friends went out to eat and decided they would split the bill. The total bill was $35.40. They also decided to leave a 20% tip. What is the price that each person paid?
$7.08
$42.48
$21.24
$14.16
What is the final cost of a TV that has a price of $699.00 after an 8% tax?
$643.08
$754.92
$707.00
$559.20
A salesman makes $13.00 per hour, plus 10% commission on all sales that he makes. One week, he worked 40 hours and sold $1,250.00 worth of merchandise. How much money did he earn in that week?
$645.00
$560.00
$616.00
$1,810.00
Maggie takes out a loan from the bank for $7,500. The simple interest on the loan is 5%. She agrees to pay the loan back over the course of 3 years. What is the total amount of money that Maggie will pay back after 3 years? I = prt
(a)
A department store purchases certain tennis shoes for $48.00 and applies a markup of 30%. What is the retail price that the customer will pay at the department store?
$78.00
$14.40
$62.40
$59.00
John purchased a pair of headphones on sale for $32.50 that were originally priced at $50.00. What was the percent decrease from the original price to the sale price?
30%
17.5%
25%
35%
A car salesman purchased a car at an auction for $8,550. He will re-sell the car at a markup of $11,970. What is the percent increase of the markup?
40%
35%
30%
45%
Anne sketched a scale drawing of the small garden she is planning with dimensions shown below. She plans to use a scale of 2 cm : 3 ft. What will the length of the real garden be?
12 ft.
9 ft.
6 ft.
4 ft.
Triangles have two conditions that must be met, one regarding the three interior angles and one regarding the lengths of the sides: - ANGLES: (Triangle Sum Theorem) The three interior angles of any triangle ALWAYS add up to 180°; if a set of 3 angles sums to 180°, the measures could form many triangles (same angles, proportional side lengths) - SIDE LENGTHS: (Triangle Inequality Theorem) The sum of any 2 side lengths of a triangle must be greater than the measure of the third side; If a set of 3 sides meets these conditions, only ONE triangle can be formed Given the triangle with angles measuring 85° and 40°, and one side measuring 5 cm: (1) What is the measure of the missing angle x? (2) If the triangle shown is NOT an isosceles triangle, what is one possible side length for side y?
5
7
9
11
Which set of angles could NOT be the measures of the interior angles of a triangle?
(A) 90°, 45°, 45°
(B) 60°, 70°, 80°
(C) 50°, 60°, 70°
(D) 100°, 30°, 50°
What is the missing angle of the triangle?
(A) 149°
(B) 31°
(C) 41°
(D) 24°
Which set of values could create only one unique triangle?
(A) 8 cm, 7 cm, 10 cm
(B) 1 cm, 2 cm, 3 cm
(C) 50°, 40°, 90°
(D) 90°, 90°, 90°
Which set of values could create many triangles?
(A) 8 cm, 7 cm, 10 cm
(B) 1 cm, 2 cm, 3 cm
(C) 50°, 40°, 90°
(D) 90°, 90°, 90°
Which TWO sets of values would create NO triangles?
(A) 8 cm, 7 cm, 10 cm
(B) 1 cm, 2 cm, 3 cm
(C) 50°, 40°, 90°
(D) 90°, 90°, 90°
Brad, Jamie, and Iris were attempting to predict which straw lengths would create a triangle. Which student did NOT predict correctly?
(A) Brad predicts straws 1, 2, and 3 will create a triangle.
(B) Jamie predicts straws 1, 3, and 4 will create a triangle.
(C) Iris predicts straws 2, 4, and 5 will create a triangle.
(D) All three predictions are correct.
What is the cross-section of the cylinder shown below with a plane slicing it parallel to the base of the cylinder?
Circle
Square
Rectangle
Oval
Liam is attempting to create a triangular cross-section by slicing the cone below with a plane. Which direction should he use to slice the cone in order to create this cross-section?
Parallel to the base in any spot
Perpendicular to the base in any spot
Perpendicular to the base directly through the vertex
Diagonally in any spot
Which cross-section could NOT be created from the square prism below?
Oval
Triangle
Rectangle
Square
Find the approximate area of the circle shown below. Use 3.14 ≈ π.
81 cm²
254 cm²
243 cm²
57 cm²
Find the approximate circumference of the circle shown below. Use 3.14 ≈ π.
18 cm
54 cm
28 cm
57 cm
A circle has a circumference of 47.1 in. What is the circle’s diameter? Use 3.14 ≈ π.
What is the result of subtracting the sum of 1/4 and 1/2 from 1?
1/4
1/2
3/4
1/3
If a car travels 60 miles in 1.5 hours, what is its average speed in miles per hour?
30 mph
40 mph
50 mph
60 mph
Which expression represents the distributive property?
a(b + c) = ab + ac
a + b = b + a
(a + b) + c = a + (b + c)
a(bc) = (ab)c
