Quiz about Grade 7 MCA Algebra Test Questions

Question 1

Which equation represents a proportional relationship?

Accepted Answer

$$y=-x$$

Answer

$$y=\left|x\right|$$

Answer

$$y=\frac{1}{x}$$

Answer

$$y=x^2$$

Question 2

Which equation represents a proportional relationship?

Accepted Answer

$$y=2x$$

Answer

$$y=x+2$$

Answer

$$y=x-2$$

Answer

$$y=\frac{2}{x}$$

Question 3

Which equation represents a proportional relationship?

Accepted Answer

$$y=\frac{1}{6}x$$

Answer

$$y=\frac{5}{x}$$

Answer

$$y=3x+1$$

Answer

$$y=x^2$$

Question 4

Which equation represents a inversely proportional relationship?

Accepted Answer

$$xy=5$$

Answer

$$x+y=5$$

Answer

$$x-y=5$$

Answer

$$\frac{x}{y}=5$$

Question 5

Which equation represents a inversely proportional relationship?

Accepted Answer

$$y=\frac{1}{x}$$

Answer

$$y=-x$$

Answer

$$y=x$$

Answer

$$y=x^2$$

Question 6

Which graph show a proportional relationship?

Accepted Answer

Question 7

Which graphs represent proportional relationships?

Select the graphs you want to choose.

Accepted Answer

Accepted Answer

Question 8

A teacher draws a graph on the board. Which statement describes the graph?

Accepted Answer

It models a proportional relationship because the line passes through the origin and has a constant slope.

Answer

It models a proportional relationship because the line passes through the origin and has a changing slope.

Answer

It does not model a proportional relationship because the line passes through the origin and has a positive slope.

Answer

It does not model a proportional relationship because the line passes through the origin and has a negative slope.

Question 9

The distances 2 travelers drove over a period of time are represented on the graph.

Which equation can be used to find d, the distance in miles the slower traveler drove in t hours?

Accepted Answer

d = 40t

Answer

d = 20t

Answer

d = 60t

Answer

d = 100t

Question 10

Printer A prints 12 pages each minute. Printer B prints 8 pages each minute. Which equation can be used to find p, the number of pages both printers can print in m minutes?

Accepted Answer

p = (12+8)m

Answer

p = m + 12 + 8

Answer

p = (12)(8)m

Answer

$$p=\frac{12+8}{m}$$

Question 11

The speed of a car is 40 kilometers per hour. Which representations may be used to show the distance, y, the car travels in x hours?

Select the representations you want to choose.

Accepted Answer

Accepted Answer

y = 40x

Answer

y = x + 40

Answer

y = 40

Question 12

The graph shows the distance that a flock of birds flew over time.

How much time would it take the flock of birds to fly 700 miles?

Accepted Answer

15.6 hours

Answer

7.8 hours

Answer

22.2 hours

Answer

45.0 hours

Question 13

Sam begins reading a book that has 175 pages. He starts reading at 2:00 p.m. He finishes page 50 at 2:30 p.m. At this rate, what time will he finish the entire book?

Accepted Answer

3:45 PM

Answer

3:55 PM

Answer

4:30 PM

Answer

6:00 PM

Question 14

Marta drove 280 miles on the first day of a trip and used 12 gallons of gasoline. She drove 130 miles on the second day of the trip and used 9 gallons of gasoline. What was the average number of miles per gallon for the entire trip?

Accepted Answer

19.5 miles per gallon

Answer

14.4 miles per gallon

Answer

23.3 miles per gallon

Answer

37.8 miles per gallon

Question 15

A slice of bread contains 3 grams of fiber. This amount is 12% of the recommended daily allowance (RDA) for fiber. What is the total RDA for fiber?

Accepted Answer

25 grams

Answer

8.3 grams

Answer

36 grams

Answer

400 grams

Question 16

Jane averaged 34 feet per second during a bicycle race. There are 5,280 feet in a mile. To the nearest mile per hour, what was her average speed during the bicycle race?

Accepted Answer

23 mph

Answer

17 mph

Answer

34 mph

Answer

50 mph

Question 17

Anne bought a calculator that cost $30. She received 10% off her purchase and then was charged 6% tax. What was the total amount that Anne paid?

Accepted Answer

$28.62

Answer

$21.20

Answer

$25.38

Answer

$28.80

Question 18

Tyrell is buying a scooter. He pays 10% of the total cost as a deposit. He will pay the remaining $78.21 when he picks up the scooter. What is the total cost of the scooter?

Accepted Answer

$86.90

Answer

$86.03

Answer

$88.21

Answer

$115.07

Question 19

The length and width of an 8-inch by 12-inch photo are each reduced by 50%. They are then reduced a second time by 25%. What is the perimeter of the new photo?

Accepted Answer

15 in

Answer

5 in

Answer

7.5 in

Answer

10 in

Question 20

The number of students who had hot lunch was at least 18 more than 2/3 of the number of students who had bag lunch. Exactly 246 students had hot lunch. Which inequality can be used to determine x, the number of students who had bag lunch?

Accepted Answer

Question 21

Bart wants to purchase a new bike. He has $300. He will save d dollars each month for 12 months to have enough money to purchase the bike. Which expression gives the total amount of money Bart needs to purchase the bike?

Accepted Answer

12d + 300

Answer

12d - 300

Answer

300 - d

Answer

$$\frac{300}{12} imes d$$

Question 22

One less than twice a number, x, is 27. Which equation could be used to find x?

Accepted Answer

27 = 2x - 1

Answer

1-27 = 2x

Answer

27 - 1 = 2x

Answer

27 = 1 - 2x

Question 23

The graph shows the values for x. Which inequality best represents the values for x?

Accepted Answer

Question 24

A triangle is shown. Which equation can be used to find the value of x?

Accepted Answer

180 = 2x + 16

Answer

180 = 2x + 56

Answer

180 = 2x - 56

Answer

$$180\ =\ x^2+16$$

Question 25

To open a door, the minimum amount of force, f, that must be applied d inches from the hinge can be found by using the equation $$f\cdot d=72$$

Accepted Answer

$$30f\ge72$$

Answer

$$f\le72\cdot30$$

Answer

$$f\ge72\cdot30$$

Answer

$$30f\le72$$

Question 26

Which expression is equivalent to $$\frac{1}{7}\left(7y\right)-y$$

Accepted Answer

0

Answer

1

Answer

$$\frac{6}{7}y$$

Answer

1y

Question 27

What is the result of the first step in simplifying the expression

$$2\left(15-4\right)^3$$

Accepted Answer

$$2\left(11\right)^3$$

Answer

2(3375 - 64)

Answer

$$\left(30-4\right)^3$$

Answer

$$\left(30-8\right)^3$$

Question 28

Which expression is equivalent to $$\left(6+a\right)\left(b-1\right)$$

Accepted Answer

(b - 1)(a + 6)

Answer

(1 -b)(a + 6)

Answer

6 + ab - 1

Answer

6b - a

Question 29

Question 29.

Accepted Answer

Question 30

See image.

Accepted Answer

1/2

Answer

-3/4

Answer

3/8

Answer

13/8

Question 31

What is the value of the expression $$x\left(\frac{1}{2}\right)^x$$ when x = 3?

Accepted Answer

$$\frac{3}{8}$$

Answer

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

Answer

$$3\ \frac{1}{8}$$

Answer

$$3\ \frac{3}{8}$$

Question 32

What is the value of $$2m^3$$ when m = 0.2?

Accepted Answer

0.0016

Answer

0.064

Answer

1.2

Answer

10.648

Question 33

To calculate body mass index, doctors use the expression $$\frac{703w}{h^2}$$ , where w represents weight in pounds and h represents height in inches. What is the approximate body mass index for a person with a weight of 135 pounds and a height of 65 inches?

Accepted Answer

22.5

Answer

2.5

Answer

163.0

Answer

730.0

Question 34

What is the value of the expression $$\frac{n\left(n+2\right)}{2}when\ n=-6?$$

Accepted Answer

12

Answer

6

Answer

19

Answer

24

Question 35

What is the value of $$q\left(2r+1\right)+r\ when\ 2r+1=5\ and\ q=3$$

Accepted Answer

15

Answer

17

Answer

18

Answer

20

Question 36

Question 36.

Accepted Answer

10

Answer

-22

Answer

-8

Answer

22

Question 37

Question 37.

Accepted Answer

31

Answer

19

Answer

103

Answer

139

Question 38

Question 38.

Accepted Answer

-38

Answer

-56

Answer

-32

Answer

-18

Question 39

The formula $$V=\frac{1}{3}s^2h$$ is the formula for the volume of a square pyramid where s is the side length of the base and h is the height. What is the volume of a square pyramid with side length 1/2 inch and height 5 inches?

Accepted Answer

5/12

Answer

5/36

Answer

5/7

Answer

5/3

Question 40

Question 40.

Accepted Answer

3/32

Answer

3/64

Answer

3/8

Answer

1/2

Question 41

Question 41.

Accepted Answer

14

Answer

10

Answer

16

Answer

26

Question 42

Question 42.

Accepted Answer

-13

Answer

-5

Answer

7

Answer

17

Question 43

The equation $$64=8h+4^2$$ can be used to calculate h, the slant height of a pyramid. What is the slant height of the pyramid?

Accepted Answer

6

Answer

10

Answer

24

Answer

40

Question 44

A baker starts with n pounds of cocoa. He buys 200 more pounds of cocoa and uses 7.2 pounds per day. How much cocoa does the baker start with if he uses all the cocoa in 30 days?

Accepted Answer

16

Answer

1.08

Answer

162.8

Answer

416

Question 45

Joe uses the equation $$C=\frac{22.98A}{350}+15.06$$ to calculate the cost, C, of painting an area of A square feet. What is the maximum area Joe can paint with $84?

Accepted Answer

1,050

Answer

20

Answer

1,264

Answer

1,509

Question 46

The formula $$-h=-10t^2+vt$$ can be used to find t, the amount of time it takes a ball to reach the ground when it is thrown from a height of h meters at a velocity of v meters per second. What is the velocity of a ball thrown from a height of 96 meters that takes 3 seconds to reach the ground?

Accepted Answer

-2

Answer

-62

Answer

1.1

Answer

32

Question 47

The equation $$\frac{1}{2}l=4w-8$$ shows the relationship between the length,l, and width, w, of a rectangle. What is the length when the width is 6 units?

Accepted Answer

32

Answer

4

Answer

8

Answer

40

Question 48

The equation $$\frac{4}{5}=\frac{x}{y}$$ can be used to find y, the total cost in dollars to make x bracelets. What is the cost to make 1 bracelet?

Accepted Answer

$1.25

Answer

$0.45

Answer

$0.80

Answer

$2.00

Question 49

A boat travels 9 miles against the current and 9 miles with the current on a river. The equation

$$tr^2-4t=36r$$ can be used to find t, the time it takes the boat to travel the 18 miles at an average rate of r miles per hour. How long does it take the boat to travel the 18 miles at an average rate of 8 miles per hour?

Accepted Answer

4.8

Answer

4.2

Answer

5

Answer

24

Question 50

Question 50.

Accepted Answer

Question 51

Question 51.

Accepted Answer

2/9

Answer

13/18

Answer

1

Answer

2

Question 52

A student uses 1 rectangular table and 1 square table to display a science project. The student extends the length of the rectangular table by adding a table leaf with width t feet. The equation $$76=4^2+5\left(t+9\right)$$ expresses the total combined area of both tables. What is the area of the table leaf?

Accepted Answer

15

Answer

3

Answer

12

Answer

60

Question 53

Question 53.

Accepted Answer

125

Answer

50

Answer

250

Answer

500

Question 54

Biologists estimate deer populations by sampling a small area and using that information to estimate the entire population of a large area. They use the equation p=na to estimate p, the population of deer in a acres of land, where n is the number of deer per acre determined from the sampling. A biologist determines that 1,800 deer populate an area of 150 acres. What value of n did the biologist find in the initial sampling of the population?

Accepted Answer

12

Answer

83

Answer

1,650

Answer

270,000

Question 55

Question 55.

Accepted Answer

5.8

Answer

2.6

Answer

6.8

Answer

9.0

Question 56

The equation 3m=2b shows the relationship between m, the length of a scale model of a bridge in inches, and b, the length of the actual bridge in yards. The length of the scale model is 24 inches. What is the length of the actual bridge?

Accepted Answer

36

Answer

16

Answer

72

Answer

144

Question 57

The distance Jan travels in 2 hours is 18 miles more than the distance she travels in 0.5 hours. The distance she travels is proportional to the time. How many miles does Jan travel in 2 hours?

Accepted Answer

24

Answer

30

Answer

72

Answer

82

Question 58

Question 58.

Accepted Answer

$$1\ \frac{1}{8}$$

Answer

$$\frac{1}{6}$$

Answer

2

Answer

8

Question 59

A recipe uses 12 cups of flour. The recipe makes 32 servings. Which equation models the relationship between p cups of flour and s servings?

Accepted Answer

p = 0.375s

Answer

p = 2.67s

Answer

p = 20s

Answer

p = $$\frac{384}{s}$$

Grade 7 MCA Algebra Test Questions

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