Free Printable T3 Exam Review (2023-2024)

1.

You are flying in a helicopter 150 feet above sea level. You look down and see a shark swimming 15 feet below the surface of the water. How far away are you from the shark?

a)

-135 feet

b)

165 feet

c)

135 feet

d)

-165 feet

2.

Which expression represents the distance between $2.5$ and $-3\frac{2}{3}$ ?

a)

$\left|2.5-3\frac{2}{3}\right|$

b)

$2.5-\left(-3\frac{2}{3}\right)$

c)

$\left|-3\frac{2}{3}-2.5\right|$

d)

$\left|-3\frac{2}{3}+2.5\right|$

3.

Which expression is used to show the distance between -5 and 5 on a number line?

a)

$-5+5$

b)

$-5-5$

c)

$\left|5-\left(-5\right)\right|$

d)

$|-5+5|$

4.

Evaluate $8a-b$ .

a = 10 and b = 6

a)

74

b)

38

c)

1000

d)

9000

5.

Evaluate $2a+4b$ .

a = 10 and b = 6

a)

20

b)

24

c)

44

d)

4

6.

Evaluate $2(a-5)+2$ .

a = 15

a)

22

b)

27

c)

14

d)

7

7.

Evaluate the expression $bc+5a$ .

a = 3, b = 4, c = 6

a)

99

b)

39

c)

63

d)

87

8.

$\frac{1}{4}$ of a bread recipe calls for $\frac{2}{3}$ cup of bread flour.

How may cups of flour are needed to make the full recipe?

a)

$\frac{1}{6}$ cup

b)

$\frac{3}{8}$ cup

c)

$\frac{5}{12}$ cup

d)

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

9.

For every $\frac{1}{4}$ of a large pizza, a pizza shop uses $\frac{1}{2}$ ounce of pepperoni.

How much pepperoni does one large pizza have?

a)

$\frac{1}{8}$ ounce

b)

$\frac{1}{2}$ ounce

c)

1 ounce

d)

2 ounces

10.

A brownie recipe requires $\frac{2}{3}$ cup of sugar for $\frac{1}{3}$ batch of brownies.

How many cups of sugar is need for 1 batch of brownies?

a)

$\frac{2}{9}$ cup

b)

1 cup

c)

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

d)

2 cups

11.

If a dog can eat $\frac{1}{3}$ of a bag of food in $\frac{1}{2}$ week, how many bags of food can the dog eat in 1 week?

a)

$\frac{1}{6}$ bag per week

b)

$\frac{2}{3}$ bag per week

c)

$1\frac{1}{2}$ bags per week

d)

$\frac{5}{6}$ bag per week

12.

Which algebraic expression can be read as "two less than the product of five and a number, x?

a)

$2-5x$

b)

$5x-2$

c)

$5-2+x$

d)

$2-5+x$

13.

Translate the expression.

"4 times the difference between a number, r, and 7"

a)

$4r-7$

b)

$4(7-r)$

c)

$4(r-7)$

d)

$4r-7$

14.

Translate the following verbal phrase into an algebraic expression.

"Twice a number minus 3"

a)

$2x+3$

b)

$2x-3$

c)

$2\left(x-3\right)$

d)

$\frac{2x}{3}$

15.

Simplify the expression.

$24\cdot(4-2)\div6$

a)

8

b)

2

c)

6

d)

5

16.

Simplify the expression.

$40+(72\div9)\div8$

a)

49

b)

25

c)

41

d)

15

17.

$\frac{2}{3}\times\left(1\ \frac{1}{3}+\frac{5}{3}\right)$

a)

$\frac{25}{9}$

b)

$2$

c)

$2\ \frac{5}{9}$

d)

$\frac{23}{9}$

18.

Simplify the expression.

$\frac{2}{9}\left(1+6\cdot2\right)-4$

a)

-2

b)

$\frac{10}{9}$

c)

10

d)

$-\frac{10}{9}$

19.

A certain map has a scale of 1 in: 100 mi. The distance on the map between Baltimore and Washington, D.C. is 0.45 inches. Which of the following is the actual distance between Baltimore and Washington, D.C.?

a)

0.45 miles

b)

4.5 miles

c)

45 miles

d)

450 miles

20.

A map has a scale of 1 cm: 50 mi. The distance on the map between Chicago and Cincinnati is 5 centimeters. Which of the following is the actual distance between Chicago and Cincinnati?

a)

5 centimeters

b)

50 miles

c)

250 miles

d)

500 miles

21.

A map has a scale of 1 in: 25 mi. If the actual distance between Boston and New Haven is 200 miles, which of the following is the map distance between Boston and New Haven?

a)

8 inches

b)

8 miles

c)

4 inches

d)

5000 inches

22.

Write $-2\ \frac{5}{6}$ as a decimal.

a)

$-2.8\overline{3}$

b)

-2.56

c)

$2.8\overline{3}$

d)

-2.83

23.

Write $\frac{10}{15}$ as a decimal.

a)

-0.66

b)

$0.\overline{6}$

c)

0.66

d)

$-0.\overline{6}$

24.

Which of the following are repeated decimals?

Select all that apply.

a)

$\frac{2}{8}$

b)

$-\frac{4}{9}$

c)

$2\frac{7}{14}$

d)

$4\frac{4}{12}$

e)

$\frac{0}{3}$

25.

Which of the following are equivalent to $\frac{-4}{5}$ ?

Select all that apply.

a)

$\frac{-4}{-5}$

b)

$-\left(\frac{-4}{-5}\right)$

c)

$\frac{4}{-5}$

d)

$\frac{4}{5}$

e)

$-\frac{4}{5}$

26.

Which of the following is equivalent to $\frac{a}{-b}$ ?

a)

$\frac{-b}{a}$

b)

$\frac{-a}{-b}$

c)

$\frac{-a}{b}$

d)

$\frac{a}{b}$

27.

When simplified, is the expression below positive or negative?

$-\left(\frac{-4}{-5}\right)$

a)

positive

b)

negative

28.

Does the table represent a proportional relationship?

a)

yes

b)

no

29.

Does the table represent a proportional relationship?

a)

yes

b)

no

30.

Does the table represent a proportional relationship?

a)

yes

b)

no

31.

Does the graph represent a proportional relationship?

a)

yes

b)

no

32.

Does the graph represent a proportional relationship?

a)

yes

b)

no

33.

What is the equation form for a proportional relationship?

a)

$y=k+x$

b)

$y=k-x$

c)

$y=kx$

d)

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

34.

What does k represent in the equation $y=kx$ ?

a)

independent variable

b)

constant of proportionality

c)

dependent variable

d)

y-intercept

35.

What is the equation for the table?

a)

$y=\frac{1}{3}x$

b)

$y=3x$

c)

$y=5x$

d)

$y=\frac{1}{5}x$

36.

Simplify the expression.

$3-5(a-4)$

a)

$23-5a$

b)

$5a-23$

c)

$18a$

d)

$-18a$

37.

Simplify expression.

$7(a+8)-5a+4$

a)

$2a+60$

b)

$-5a+60$

c)

$2a+56$

d)

$7a+4$

38.

Simplify the expression.

$3(a-14)-5(a+12)$

a)

$-2a-102$

b)

$-104a$

c)

$8a-2$

d)

no solution

39.

Simplify the expression.

$(8x+6)-(x+4)$

a)

$7x+2$

b)

$7x+10$

c)

$9x+10$

d)

$9x+2$

40.

Simplify the expression.

$(11x-2)+(9x-4)$

a)

$20x-6$

b)

$20x-2$

c)

$2x-6$

d)

$2x-2$

41.

Which expression is equivalent to $-5(x+10)$ ?

a)

$5x+50$

b)

$-5x+10$

c)

$-5x-50$

d)

$5x-50$

42.

Simplify the expression.

$(3x-2)-(4x+1)$

a)

$x-3$

b)

$-x-3$

c)

$-x+1$

d)

$x+1$

43.

Ricardo has the spinner pictured here and a bag of marbles filled with 2 red marbles, 3 green marbles, and 3 blue marbles. What is the probability that Ricardo spins red on the spinner and picks a red marble out of the bag?

a)

$\frac{1}{16}$

b)

$\frac{1}{2}$

c)

$\frac{1}{4}$

d)

$\frac{1}{8}$

44.

A coin and a number cube with the numbers 1 through 6 are tossed. What is the probability of the coin showing tails and the number cube showing the number 3?

a)

$\frac{1}{12}$

b)

$\frac{1}{4}$

c)

$\frac{1}{8}$

d)

$\frac{1}{2}$

45.

The table shows the possible outcomes of spinning the given spinner and flipping a fair coin. Find the probability of the coins landing heads up and the pointer landing on either 1, 2 or 4.

a)

3

b)

$\frac{3}{5}$

c)

$\frac{1}{2}$

d)

$\frac{3}{10}$

46.

The organized list show al the possible outcomes when 3 fair coins are flipped. Heads = H, Tails = T. What is the probability that at least 2 fair coins land heads up when 3 are flipped?

a)

$\frac{6}{8}$

b)

$\frac{3}{4}$

c)

$\frac{1}{4}$

d)

$\frac{1}{2}$

47.

You have a 6-sided die numbered 1-6 and a fair coin. What is the probability of the coin landing on heads and rolling a number less than 3?

a)

$\frac{1}{6}$

b)

$\frac{1}{2}$

c)

$\frac{1}{3}$

d)

0

48.

A book store took a random survey of customers about their favorite book genre. The table shows the number of customers who selected each genre. Based on the information in the table, which inference about the favorite genre of all the customers appears to be valid?

a)

They are certain to select Romance or Young Adult

b)

They are less likely to select Sci-Fi than Horror, Non-Fiction or History

c)

They are more likely to select Romance than Sci-Fi, Horror, and History

d)

They are certain to select any genre other than History

49.

Petunia conducted a random survey of students to determine the favorite genre of music of 50 students. The results are shown in the bar graph. Based on the information in the graph, which inference about the students is valid?

a)

Girls like country music more than boys like rap music

b)

More girls than boys like rock music

c)

Boys like country music more than rock music

d)

Boys like rock music more than girls like rap music

50.

Which expression is represented on the number line?

a)

$-7+5$

b)

$7+5$

c)

$-7+(-2)$

d)

$7+(-2)$

51.

Which expression is represented on the number line?

a)

$4+1$

b)

$4+(-1)$

c)

$4+(-3)$

d)

$4+3$

52.

Which expression represents the number line?

a)

$-3+(-5)$

b)

$-3+(-6)$

c)

$-3+(-9)$

d)

$-3+9$

53.

Which expression is represented on the number line?

a)

$6+1$

b)

$-6+(-2)$

c)

$6+8$

d)

$6+2$

54.

Mrs. Ray is buying some groceries. The subtotal (before taxes) came to $35.50. The sales tax rate is 4.5%. When she goes to pay, how much will she owe?

a)

$1.60

b)

$37.10

c)

$40.00

d)

$51.48

55.

John bought a shirt for $21. He paid $1.47 in sales tax. What was the sales tax rate?

a)

0.93%

b)

0.07%

c)

7%

d)

93%

56.

Jay bought an $85.00 jacket for 40% off of the regular price. The tax rate is 5.5%. How much did he pay for the jacket?

a)

$53.80

b)

$53.81

c)

$79.05

d)

$51.00

57.

The regular price of a sofa is $599.99. If there is a 20% discount and a 6% sales tax, how much will the sofa cost?

a)

$508.79

b)

$479.99

c)

$635.99

d)

$489.59

58.

Monica goes to Target. Her items total to $150. If she received a 40% discount and then paid 5% sales tax. How much did she pay in all?

a)

$90

b)

$94.50

c)

$176

d)

$106.50

59.

$-4x+3=-29$

a)

$x=4$

b)

$x=6$

c)

$x=2$

d)

$x=8$

60.

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

a)

$x=0$

b)

$x=12$

c)

$x=-3$

d)

$x=-6$

61.

$-5x-1=-16$

a)

$x=3$

b)

$x=-4$

c)

$x=2$

d)

$x=5$

62.

\frac{x}{5}+7=9

a)

$x=5$

b)

$x=7$

c)

$x=9$

d)

$x=10$

63.

Solve for t.

$6t+4\le-2$

a)

$t\le-1$

b)

$t\le1$

c)

$t=1$

d)

$1=t$

64.

Solve the inequality.

$-4x+14\le54$

a)

$x\ge-10$

b)

$x\le-10$

c)

$x\ge10$

d)

$x\le10$

65.

Solve the inequality.

a)

$x<-20$

b)

$x>-20$

c)

$x>20$

d)

$x<20$

66.

Solve the inequality.

$8+4x>24$

a)

$x>4$

b)

$x>8$

c)

$x>64$

d)

$x<8$

67.

Is $\angle1$ vertical to $\angle2$ ?

a)

yes

b)

no

68.

What is the measure of $\angle y$ ?

a)

$76\degree$

b)

$104\degree$

69.

Which angle is congruent to the $54\degree$ angle?

a)

$\angle1$

b)

$\angle2$

c)

$\angle3$

d)

None of them

70.

What is the value of x?

a)

1

b)

30

c)

53

d)

10

71.

Find the missing angle measure.

a)

146°

b)

34°

c)

36°

d)

136°

72.

What is the sum of the inside angles of a triangle?

a)

90 degrees

b)

180 degrees

c)

360 degrees

d)

45 degrees

73.

Find the missing angle measure.

a)

29°

b)

39°

c)

49°

d)

59°

74.

Do the following side lengths form a triangle?

2 inches, 2 inches, 4 inches

a)

Yes

b)

No

75.

Can the following side measures form a triangle?

4 cm, 7 cm, 10 cm

a)

Yes

b)

No

76.

Which set of numbers may represent the lengths of the sides of a triangle?

a)

{3, 3, 9}

b)

{6, 6, 7}

c)

{6, 4, 2}

d)

{7, 8, 1}

77.

Two angles of a triangle measure 30° and 108°. What is the measure of the third angle of the triangle?

a)

$42\degree$

b)

$45\degree$

c)

$62\degree$

d)

$222\degree$

78.

How many triangles exist with the following angle measures?

100°, 100°, 50°

a)

No triangle exists with the given angle measures.

b)

More than one triangle exists with the given angle measures.

c)

Exactly one unique triangle exists with the given angle measures.

79.

How many triangles can be created with the side lengths of 3 cm, 4cm, and 5 cm?

a)

only 1 unique triangle

b)

multiple triangles

c)

no triangles

80.

Given the three angle measures, how many triangles can you create?

a)

one unique triangle

b)

multiple triangles

c)

no triangles

81.

A square pyramid is cut parallel to the base. What is the shape of the cross section?

a)

pyramid

b)

triangle

c)

square

d)

circle

82.

A triangular prism is cut parallel to the bases, as shown in the picture. What is the shape of the cross section?

a)

triangle

b)

rectangle

c)

square

d)

trapezoid

83.

A cylinder is cut parallel to the bases, as shown in the picture. What is the shape of the cross section?

a)

Square

b)

Rectangle

c)

Circle

d)

Cylinder

84.

A cone is cut perpendicular from its apex through the base. What is the shape of the cross section?

a)

Cone

b)

Triangle

c)

Pyramid

d)

Rectangle

85.

A cylinder is cut perpendicular to its bases. What is the shape of the cross section?

a)

Rectangle

b)

Circle

c)

Cylinder

d)

Triangle

T3 Exam Review (2023-2024)

Total questions: 85

Worksheet time: 4hrs 13mins

Similar Resources on Wayground