Free Printable Practice BM 3 (2025-2026)

1.

Which expression is equivalent to 6 + 16?

a)

16(3 + 8)

b)

16(2 + 8)

c)

2(3 + 8)

d)

2(2 + 8)

2.

Which best represents the expression $\frac{f}{7}$ ?

a)

The difference of a number, f, and eight

b)

The product of a number, f, and eight

c)

The quotient of a number, f, and eight

d)

The sum of a number, f, and eight

3.

What is the product of 54.1 x 6.2?

a)

3,354.2

b)

432.8

c)

335.42

d)

33.28

4.

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

a)

$\frac{1}{9}$

b)

$\frac{1}{6}$

c)

$\frac{1}{2}$

d)

$\frac{1}{3}$

5.

What is the greatest common factor of 8 and 12?

a)

4

b)

8

c)

24

d)

48

6.

What is the least common multiple of 8 and 12?

a)

4

b)

8

c)

24

d)

48

7.

Which expression is equivalent to $\left(0.5\right)^2\times\left(0.6\right)^3$ ?

a)

$\left(0.5\times2\right)\times\left(0.6\times3\right)$

b)

$\left(0.5\times2\right)+\left(0.6\times3\right)$

c)

$(0.5\times0.5)\times(0.6\times0.6\times0.6)$

d)

$(0.5\times0.5)+(0.6\times0.6\times0.6)$

8.

Which two expressions are equivalent to 30 + 42?

a)

6(30 + 42)

b)

6(5 + 7)

c)

3(30 + 42)

d)

3(10 + 14)

e)

3(5 + 7)

9.

Which best represents the expression 6g + 9?

a)

Nine more than the product of six and a number, g

b)

Nine more than the quotient of six and a number, g

c)

Nine times the product of six and a number, g

d)

Nine times the quotient of six and a number, g

10.

An artist painting a canvas with a length of 18 inches and width of 12 inches begins by painting a 1-inch border around the edge of the canvas. What is the area of the border that the artist paints on the canvas represented by the shaded region?

a)

29 in²

b)

30 in²

c)

56 in²

d)

60 in²

11.

The expression $L^2+2L$ represents the area of a garage that is L feet long. What is the area of the garage if L = 22?

a)

68 square feet

b)

88 square feet

c)

508 square feet

d)

528 square feet

12.

A family plans a 550-mile car trip. If the family drives 100 miles each day, d, which expression represents the number of miles the family has left in the car trip after driving for d days?

a)

$550+100d$

b)

$550-100d$

c)

$550d+100$

d)

$550d-100$

13.

What is the value of the expression (2 + 4)³ ÷ (2² - 3)?

a)

10

b)

13.5

c)

18

d)

216

14.

Consider the figure. What is the area of the figure?

a)

14.4 cm²

b)

21.6 cm²

c)

25.8 cm²

d)

28.8 cm²

15.

Which expression is equivalent to 2 × 2 × 4 × 4 × 4 × 4?

a)

$2^2+4^4$

b)

$2^2\times4^4$

c)

$4\times16$

d)

$4+16$

16.

Consider the net of a right square pyramid made up of one square and four equilateral triangles. What is the surface area of the right square pyramid?

a)

25 cm²

b)

43 cm²

c)

68 cm²

d)

111 cm²

17.

Consider the net of a chocolate bar box that is in the shape of a right triangular prism. How much cardboard is needed to make the chocolate bar box?

a)

480 cm²

b)

504 cm²

c)

564 cm²

d)

574 cm²

18.

Which mathematical word describes $\frac{1}{2}$ in the expression $\frac{1}{2}+9x+1$ ?

a)

coefficient

b)

constant

c)

sum

d)

variable

19.

Consider the figure. What is the area of the figure?

a)

127 cm²

b)

148 cm²

c)

176 cm²

d)

840 cm²

20.

Consider the net of a right rectangular prism. What is the surface area of the right rectangular prism?

a)

64 square inches

b)

96 square inches

c)

112 square inches

d)

128 square inches

21.

A landscape designer uses the expression $2L+2W$ to determine how much fencing is needed to enclose a rectangular field of length, L, and width, W. If the length of the field is 25 yards, and the width of the field is 30 yards, how much fencing is needed to enclose the rectangular field?

a)

5 yards

b)

55 yards

c)

80 yards

d)

110 yards

22.

A child finishes 4 puzzles in 32 days. At this rate, how many days does it take the child to finish 1 puzzle?

a)

8 days

b)

16 days

c)

28 days

d)

36 days

23.

Consider the coordinate plane. Which point, when plotted correctly, is located in Quadrant 2?

a)

(4, 2)

b)

(-2, -2)

c)

(-2, 4)

d)

(2, -4)

24.

An employee earns $168 working an 8-hour shift. At this rate, how much does the employee earn per hour?

a)

$16

b)

$19

c)

$21

d)

$25

25.

If 55% of a number is 22, what is the number?

a)

0.4

b)

4

c)

40

d)

400

26.

What is the sum of 156.237 + 6.98?

a)

149.25

b)

152.117

c)

153.21

d)

163.217

27.

What is the quotient of $4\frac{2}{5}\div\frac{11}{15}$ ?

a)

$\frac{1}{6}$

b)

$\frac{2}{3}$

c)

5

d)

6

28.

What is 12% of 80?

a)

6.7

b)

9.6

c)

70.4

d)

89.6

29.

A teenager charges $112 to babysit for 8 hours. At this rate, how much does the teenager charge to babysit for 5 hours?

a)

$48

b)

$50

c)

$62

d)

$70

30.

A cargo ship contains a total of 16,770 containers that are evenly placed in 65 rows. How many containers are in each row?

a)

258 containers

b)

249 containers

c)

158 containers

d)

149 containers

31.

What is the value of x in the table?

a)

20

b)

24

c)

32

d)

48

32.

A student has 4 academic classes and 3 elective classes during the school day. Which statement is true?

a)

The ratio of academic classes to elective classes the student has each day is 4 to 7.

b)

The ratio of academic classes to total classes the student has each day is 3 to 4.

c)

The ratio of elective classes to academic classes the student has each day is 6 to 3.

d)

The ratio of elective classes to total classes the student has each day is 3 to 7.

33.

A scientist analyzes the change in temperature of a pond. If the temperature of the pond drops by $2.1\degree F$ , the change in temperature is shown as $-2.1$ . If the temperature of the pond rises by $2.1\degree F$ , the change in temperature is shown as $2.1$ . What does 0 represent in this situation?

a)

The temperature of the pond is 0°F.

b)

There is a decrease in the temperature of the pond.

c)

There is an increase in the temperature of the pond.

d)

There is no change in the temperature of the pond.

34.

A shoe store sells basketball shoes and running shoes only. The shoe store sells 4 styles of basketball shoes and 7 styles of running shoes. Which ratio represents the number of styles of basketball shoes to the total number of styles of shoes?

a)

A) 4:7

b)

B) 4:11

c)

C) 7:4

d)

D) 7:11

35.

The table shows the balances for three students’ bank accounts at the end of the month. Which statement is true?

a)

Student 1 has a smaller balance than Student 2, which can be expressed by the inequality $-125.15<65.36$ .

b)

Student 1 has a larger balance than Student 3, which can be expressed by the inequality $-125.15>−25.85$ .

c)

Student 2 has a smaller balance than Student 1, which can be expressed by the inequality $65.36<−125.15$ .

d)

Student 3 has a larger balance than Student 2, which can be expressed by the inequality $-25.85>65.36$ .

36.

A scientist has 18 quarts of a solution. If the scientist pours out half of the solution, exactly how many cups of the solution remain? (Note: 1 quart = 4 cups.)

a)

7 cups

b)

9 cups

c)

36 cups

d)

72 cups

37.

Which best describes the statement −10 < −15?

a)

The statement is false because −10 is greater than −15, and −10 is located above −15 on a vertical number line oriented from bottom to top.

b)

The statement is false because −10 is greater than −15, and −10 is located below −15 on a vertical number line oriented from bottom to top.

c)

The statement is true because −10 is less than −15, and −10 is located above −15 on a vertical number line oriented from bottom to top.

d)

The statement is true because −10 is less than −15, and −10 is located below −15 on a vertical number line oriented from bottom to top.

38.

Consider the coordinate plane. Which point represents (−6, 3)?

a)

Point J

b)

Point K

c)

Point L

d)

Point M

39.

An artist uses 8 tubes of paint in 10 days. At this rate, how many tubes of paint does the artist use in 1 day?

a)

$\frac{1}{2}$ tube of paint

b)

$\frac{4}{5}$ tube of paint

c)

2 tubes of paint

d)

4 tubes of paint

40.

Consider the number line. Which statements are true? Select ALL that apply.

a)

Point Q represents the opposite of −3 because it is located the same distance from 0 as −3.

b)

Point Q represents the opposite of 3 because it is located the same distance from 0 on the opposite side of 0.

c)

Point R represents the opposite of 0 because 0 is its own opposite.

d)

Point S represents the opposite of −1.5 because it is located the same distance from 0 on the opposite side of 0.

e)

E. Point S represents the opposite of -2.5 because it is located the same distance from 0 as 2.5.

41.

A recipe calls for 7 ounces of almond flour for every 9 ounces of all-purpose flour. What is an equivalent ratio of almond flour to all-purpose flour?

a)

10 to 8

b)

14 to 16

c)

21 to 23

d)

28 to 36

42.

A student has $131.89 in savings. The student spends $26.07 of the savings. The amount of money left in the student’s savings can be modeled by the expression $131.89−26.07$ . What is the value of the expression?

a)

$105.82

b)

$115.82

c)

$157.96

d)

$171.19

43.

What is the product of 19.8 × 0.42?

a)

2.022

b)

8.316

c)

20.22

d)

83.16

44.

How many $\frac{2}{3}$ ounce servings are in $5 \frac{1}{2}$ ounces of oatmeal?

a)

$\frac{4}{33}$ serving

b)

$\frac{5}{39}$ serving

c)

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

d)

$8\frac{1}{4}$ servings

45.

A soccer player makes 2 goals and misses 11 goals in practice. What is the ratio of the number of goals the soccer player makes to the total number of goals attempted?

a)

$2:11$

b)

$2:13$

c)

$11:13$

d)

$13:2$

46.

How much money does the lifeguard earn in total during Week 1 and Week 2?

a)

$151.00

b)

$152.00

c)

$283.50

d)

$294.50

47.

If the lifeguard makes $9.50 per hour, how many hours did the lifeguard work during Week 3?

a)

3 hours

b)

5 hours

c)

13 hours

d)

15 hours

48.

If point Q is reflected across the y-axis, what are the coordinates of the reflected point?

a)

(-4, -2)

b)

(-4, 2)

c)

(4, -2)

d)

(4, 2)

49.

The wreckage of the Titanic was found at a depth of 12,000 feet below sea level. If 0 represents sea level, which integer best represents the depth where the Titanic was found?

a)

-24,000

b)

-12,000

c)

12,000

d)

24,000

50.

What are the coordinates that represent the location of point V?

a)

(-4, -3)

b)

(-4, 3)

c)

(-3, -4)

d)

(-3, 4)

51.

There are 3 cows for every 2 goats on a farm. Which two combinations of cows and goats could be on the farm?

a)

6 cows and 7 goats

b)

8 cows and 12 goats

c)

9 cows and 6 goats

d)

13 cows and 12 goats

e)

27 cows and 18 goats

52.

What is 25% of 400?

a)

16

b)

80

c)

100

d)

300

53.

A customer purchases 50 clothing hangers for $17. At this rate, how much does it cost to purchase 150 clothing hangers?

a)

$51

b)

$99

c)

$117

d)

$441

54.

A car travels 82.5 miles in 1.5 hours. If the car travels at a constant rate, how many miles does the car travel in 1 hour?

a)

18 miles

b)

50 miles

c)

55 miles

d)

83 miles

55.

What is the quotient of $2\frac{1}{2}\div\frac{1}{6}$ ?

a)

$\frac{5}{12}$

b)

$1\frac{3}{8}$

c)

$2\frac{2}{5}$

d)

$15$

56.

One morning, a student records the temperature as $4°C$ below freezing. That afternoon, the student records the temperature as $6°C$ above freezing. That evening, the student records the temperature as $2°C$ below freezing.

If $0°C$ represents freezing, which number line correctly marks the student’s three thermometer readings?

a)

b)

c)

d)

57.

A cake recipe calls for $\frac{4}{5}$ cup of chocolate. If a baker has $\frac{7}{3}$ cups of chocolate, which statement

is true?

a)

The baker can make a maximum of 1 cake.

b)

The baker can make a maximum of 2 cakes.

c)

The baker can make a maximum of 3 cakes.

d)

The baker can make a maximum of 4 cakes.

58.

Which mathematical term describes both 𝟏𝟗𝒙 and 𝟒𝒙 in the expression 𝟏𝟗𝒙 + 𝟒𝒙?

a)

coefficient

b)

difference

c)

sum

d)

term

59.

The solution set to an inequality is graphed on a number line, as shown. Which statement about the inequality graphed is true?

a)

The inequality is 𝑥 ≥ 7, and some possible solutions are −7, 0, and 7.

b)

The inequality is 𝑥 > 7, and some possible solutions are −7, 0, and 6.

c)

The inequality is 𝑥 ≤ 7, and some possible solutions are −7, 0, and 7.

d)

The inequality is 𝑥 < 7, and some possible solutions are −7, 0, and 6.

60.

Which expression is equivalent to 𝟏𝟒𝒚 + 𝒚 + 𝟑𝒚 + 𝟏𝟒 − 𝟐?

a)

17𝑦 + 12

b)

18𝑦 + 12

c)

29𝑦

d)

30𝑦

61.

Which two expressions are equivalent to 𝟗(𝟒𝒙 + 𝟕)?

a)

9(4𝑥) + 7

b)

9(4𝑥) + 9(7)

c)

13𝑥 + 7

d)

36𝑥 + 7

e)

36𝑥 + 63

62.

A sewing machine sews at a constant rate of 𝟏, 𝟓𝟎𝟎 stitches per minute. If the equation 𝒚 = 𝟏, 𝟓𝟎𝟎𝒙 represents the relationship between the number of minutes, 𝒙, and the total number of stitches, 𝒚, the sewing machine completes, which graph represents the relationship?

a)

b)

c)

d)

63.

Which two expressions are equivalent to 𝟔𝒙?

a)

$x+x+x+x+x+x$

b)

$x\cdot x\cdot x\cdot x\cdot x\cdot x$

c)

$3\left(2x\right)$

d)

$4\left(2x\right)$

e)

$6x+x$

64.

Point 𝑲 is located at $\left(17,-21\right)$ If point 𝑲 is reflected across the 𝒙-axis, what are the coordinates of the reflected point?

a)

$\left(-17,-21\right)$

b)

$\left(-17,21\right)$

c)

$\left(17,-21\right)$

d)

$\left(17,21\right)$

65.

If point 𝑾 is located at (𝟏𝟐, −𝟐𝟏), and point 𝒁 is located at (−𝟒, −𝟐𝟏), which statement is true?

a)

Point 𝑍 is 8 units above point 𝑊 on a coordinate plane.

b)

Point 𝑍 is 8 units below point 𝑊 on a coordinate plane.

c)

Point 𝑍 is 16 units left of point 𝑊 on a coordinate plane.

d)

Point 𝑍 is 16 units right of point 𝑊 on a coordinate plane.

66.

Juan and Michele mark the locations of two stadium seats on a coordinate plane. The first seat is at (−𝟒,−𝟏), and the second seat is at (−𝟒, 𝟕). Each unit on the coordinate plane represents 1 meter.

What is the distance, in meters, between the first and second seats?

a)

5 meters

b)

6 meters

c)

7 meters

d)

8 meters

67.

A customer pays $𝟕𝟐 for 𝟏𝟖 sandwiches. If each sandwich costs the same amount, which is the cost per sandwich?

a)

$2.00

b)

$2.50

c)

$4.00

d)

$4.50

Practice BM 3 (2025-2026)

Total questions: 67

Worksheet time: 1hrs 24mins

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