Free Printable 2023 Final Exam

1.

Find the measure of the missing angle

a)

25

b)

30

c)

35

d)

40

2.

What is the measure of angle 3?

a)

47

b)

51

c)

57

d)

61

3.

What is the measure of angle b?

a)

24

b)

32

c)

36

d)

40

4.

What inequality does the number line graph represent?

a)

x ≥ 3

b)

x > 3

c)

x < -3

d)

x ≤ -3

5.

Write the inequality for the graph.

a)

x ≥ 5

b)

x < 5

c)

x > 5

d)

x ≤ 5

6.

$\frac{x}{-6}>3$

a)

$x>-18$

b)

$x=-18$

c)

$x<18$

d)

$x<-18$

7.

$-2x-3\ge5$

a)

$x\ge4$

b)

$x\ge-4$

c)

$x\le4$

d)

$x\le-4$

8.

What is the probability of rolling a 3 and spinning a red?

a)

1/6

b)

1/4

c)

1/10

d)

1/24

9.

What is the probability of pulling out an orange marble, keeping it, and then taking a green marble?

a)

$\frac{5}{66}$

b)

$\frac{2}{33}$

c)

$\frac{2}{11}$

d)

$\frac{4}{18}$

10.

Lauren spins the spinner with 8-equal sized sections one time. Drag the tiles to arrange the events in order from least likely to most likely.

a)

spinning a 4 or 5

b)

spinning a 6

c)

spinning an even number

d)

spinning a number greater than 5

1)

2)

3)

4)

11.

Mrs. Bennett has graded 20% of her 150 students’ papers. How many papers does she still need to finish grading?

a)

30

b)

750

c)

45

d)

120

12.

Anna drove 231 miles on 7 gallons of gas. What was her miles per gallon? (MPG)

a)

35 miles per gallon

b)

33 miles per gallon

c)

37 miles per gallon

d)

39 miles per gallon

13.

Kenji paid $124 for 4 concert tickets. What is the cost of 7 concert tickets?

a)

$210

b)

$264

c)

$217

d)

$224

14.

You travel 65 miles in 1.25 hours. Moving at the same speed, how far would you travel in 6 hours.

a)

127 miles

b)

312 miles

c)

357 miles

d)

432 miles

15.

Simplify

(2a²b⁴z)(6a³b²z⁵)

a)

8a⁵b⁶z⁶

b)

12a⁶b⁸z⁵

c)

12a⁵b⁶z⁶

d)

8a⁶b⁸z⁵

16.

a)

$\frac{2}{x^2}$

b)

-2x²

c)

2x²

d)

2x¹⁴

17.

a)

$\frac{1}{3^5}\$

b)

3⁵

c)

3⁴²

d)

$\frac{1}{3^2}$

18.

Simplify the following expression:
-6x + 4(-x - 3)

a)

-2x - 12

b)

10x + 12

c)

-10x - 12

d)

-2x + 12

19.

Simplify the following expression:
-6x + 4(-x - 3)

a)

-2x - 12

b)

10x + 12

c)

-10x - 12

d)

-2x + 12

20.

Find the sum.
(2x² + 5x - 7) + ( 3 - 4x² + 6x)

a)

2x²+ 3x +1

b)

-2x²- 11x -4

c)

2x² + 5x -7

d)

-2x² + 11x -4

21.

Find the difference.
(3- 2x + 2x²) - (4x -5 +3x²)

a)

x_² + 6x + 8

b)

2x²+ 5x - 7

c)

-x²-6x + 8

d)

-2x² + 11x - 4

22.

Find the value of x

a)

10

b)

9

c)

7

d)

6

23.

Which would be the best classification for the triangle shown?

a)

right isosceles

b)

obtuse scalene

c)

obtuse isosceles

d)

right scalene

24.

What is

m\angle F

?

(a)

25.

What is the measure of angle O?

a)

35

b)

50

c)

60

d)

75

26.

What is the measure of angle T?

a)

40

b)

45

c)

50

d)

55

27.

Name the figure.

a)

ray

b)

line

c)

line segment

d)

point

28.

What are vertical angles?

a)

Angles that are adjacent to each other

b)

Angles that add up to 180°

c)

Angles that are opposite of each other when lines intersect

d)

Angles that add up to 90°

29.

Which inequality matches the graph?

a)

A

b)

B

c)

C

d)

D

30.

8x ≥ -32

a)

x ≥ -4

b)

x ≥ 4

c)

x ≤ -4

d)

x ≥ 4

31.

Pick the correct letter for:
6 > x

a)

A

b)

B

c)

C

d)

D

32.

Solve:
5 - 3x < -4

a)

x > 3

b)

x < 3

c)

x < -3

d)

x > -3

33.

Which rate is equivalent to 6 miles per gallon?

a)

30 miles to 6 gallons

b)

24 miles to 8 gallons

c)

18 miles to 3 gallons

34.

You spend $40 on 5 pounds of concrete. What is the unit rate in dollars per pound?

a)

$8 per pound

b)

$5 per pound

c)

$35 per pound

d)

0.125 pounds per dollar

35.

$\left(a^{-3}b^4c\right)^{-2}$

a)

$\frac{c^2}{a^6b^8}$

b)

$\frac{b^8}{a^6c^2}$

c)

$\frac{a^6}{b^8c^2}$

36.

Rewrite using a positive exponent.

5g^{-7}km

a)

$\frac{5km}{g^7}$

b)

$5g^7km$

c)

$\frac{5}{g^{-7}km}$

d)

$\frac{1}{5g^7km}$

37.

Simplify

a)

$-\frac{1}{6}$

b)

$\frac{1}{6}$

c)

6

d)

-6

38.

Simplify

a)

$\frac{7a^5}{b^3}$

b)

$\frac{b^3}{7a^5}$

c)

$\frac{7b^3}{a^{-5}}$

d)

$\frac{7b^3}{a^5}$

39.

Simplify

a)

$\frac{1}{5x^3}$

b)

$\frac{1}{x^5}$

c)

$-\frac{5}{x^3}$

d)

$\frac{5}{x^3}$

40.

Simplify

a)

$\frac{a^3b^2}{4}$

b)

$\frac{4a^3}{b^2}$

c)

$\frac{4}{a^3b^2}$

d)

$\frac{1}{4a^3b^2}$

41.

A rectangle has width (2x + 3) and length (2x - 4).

What is the AREA of the rectangle?

a)

$4x^2+2x-12$

b)

4x- 1

c)

8x- 2

d)

4x²- 2x - 12

e)

$8x+14$

42.

(2x+3)²

a)

2x + 3 + 2x + 3

b)

4x²+ 12x + 9

c)

4x²+ 9

d)

16x²+ 9

43.

Simplify:

a)

0

b)

-3n³ +8n

c)

-3n⁶

d)

-6n³

44.

4a(5a²- a + 4)

a)

20a³- 4a²+ 16a

b)

20a²- 5a + 8a

c)

20a²+ 4a²+ 16a

d)

20a³+3a² + 16a

45.

Classify this polynomial by its degree and number of terms: x² + 2x + 6

a)

1st polynomial

b)

2nd trinomial

c)

3rd binomial

d)

3rd trinomial

46.

Find the sum.
(2x² + 5x - 7) + ( 3 - 4x² + 6x)

a)

2x²+ 3x +1

b)

-2x²- 11x -4

c)

2x² + 5x -7

d)

-2x² + 11x -4

47.

You have a bag of 17 marbles. Four are blue, 6 are green, 2 are red, and the others are yellow. What is the probability of drawing a green marble, putting it aside, and then drawing another green marble?

a)

15/136

b)

30/289

c)

Other

48.

A number cube is rolled twice. What is the probability of getting a 6 on the first roll, then a number less than 5 on the second roll?

a)

2/3

b)

5/36

c)

1/9

d)

1/36

49.

Lucy has the spinner pictured and spins it twice in a row. What is the probability that she lands on blue first and then on yellow or green?

a)

1 / 16

b)

1 ⁄ 6

c)

1 ⁄ 8

d)

3 ⁄ 4

50.

You roll a six sided die. What is the probability of rolling an even number three times in a row?

a)

3/100

b)

1/2

c)

1/6

d)

1/8

2023 Final Exam

Total questions: 50

Worksheet time: 3hrs 30mins

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