Pre-Algebra Final Exam Review

Roots & Irrational Numbers

100

Which of the following numbers is irrational? 

A. \sqrt25

B. 0.25

C. 3.14159...

D. 5/2

C. 3.14159...

200

Which number is an irrational number?

A. √36 

B. 2/5

C. 4.818181...

D. √45

D. √45

300

Which is a perfect cube?

A. 27    B. 16     C. 18     D. 36

A. 27

400

Which is a perfect square?

A. 18  B. 144  C. 40  D. 72

B. 144

500

Which number is irrational?

A. 1.5         B. √2  

C. 0.75       D. 3/4

B. 

\sqrt 2

Equations & Inequalities

100

Solve the following equation for x:

3x + 4 = 13

A. x = 2

B. x = 3

C. x = 4

D. x = 5

B. x = 3

200

Solve the following inequality for x:

2x - 3 < 7

A. x < 5

B. x < 2

C. x > 5

D. x > 2

A. x < 5

300

Which inequality is shown on a number line with an open circle at 2, with an arrow pointing to the left?

A. x > 2

B. x < 2

C. x >= 2

D. x <= 2

B. x < 2

400

Solve: 7 – 2x = 3x + 2 for x:

A. x = -1  

B. x = 1  

C. x = 2  

D. x = -2

B. x = 1

500

Solve the following inequality for x: 

x/2 + 3 ≥ 5

A. x ≥ 1

B. x ≥ 4

 C. x ≤ 4

D. x ≤ 1

Expressions & Simplifying

100

Simplify the following expression:

(6x+12)/3

3x +4

200

Simplify the following expression as much as possible:

4x - 2 + 3x + 5

A. x + 7

B. 7x - 3

C. 7x + 3

D. x - 7

C. 7x + 3

300

Simplify the following expression as much as possible:

2(3x – 5) – 4(x – 2)

2x - 8

400

Simplify the following expression as much as possible:

 x – (4 – 2x) + 6

A. 3x + 2            B. x – 4 + 2x + 6  

C. x – 4 + 2x – 6         D. 3x – 2

A. 3x + 2

500

1. Which of the following expressions simplifies to become the expression 5x – 6?
   A. 6x - x + 6
   B. x + 4x + 6  
   C. 10x – 6x  
   D. 2x + 3x - 6
   
   
   
   

D. 2x + 3x - 6

Geometry

100

What is the volume of a rectangular prism with a length of 4 in, a width of 3 in, and a height of 5 in? 

Hint: V = lwh

A. V = 60 in²

B. V = 45 in²

C. V = 20 in³

D. V = 60 in³

E. V = 20 in² 

D. V = 60 in³ 

200

Which set of numbers makes a right triangle according to the Pythagorean Theorem?

a^2 + b^2 = c^2

5, 12, 13

3, 4, 8

6, 8, 10

Both A and C

D. Both A and C

300

What is the volume of a cone with radius = 5 in, height = 12 in)? Use 3.14 for pi.

Hint: 

V= 1/3 \pi r^2 h

314 inches cubed or 314 cubic inches

400

Calculate the volume of a square pyramid with a base with an square base that has side lengths of 6 cm, and height of 10 cm.

V = 1/3 Bh

A. 180 cm³  

B. 240 cm³  

C. 120 cm³  

D. 110 cm³

C. 120 cm³  

500

Which of the following sets of triangle sides lengths do NOT make a right triangle?

(Hint: use the Pythagorean Theorem)

A. 6, 8, 10  
B. 7, 24, 25  
C. 8, 10, 12  
D. 9, 12, 15

C. 8, 10, 12

Functions, Graphs, & Probability

100

What is the slope of a horizontal line?

A. 2

B. Undefined

C. Zero

D. 1/2

C. Zero

200

What is the probability of rolling an odd number on a standard six-sided die, and then rolling a prime number on that same die?

1/4

300

Which of the following sets of ordered pairs represents a function?

A. {(1,2), (2,3), (1,4)}  

B. {(0,1), (2,3), (3,3)}  

C. {(2,2), (2,4), (3,5)}  

D. {(1,1), (1,2), (1,3)}

B. {(0,1), (2,3), (3,3)}  

400

What is the slope of the line between the two points (1,2) and (3,6)? 

Hint: slope is the rise over run

A. m = 2

B. m = 3

C. m = 4

D. m = 5

A. m = 2

500

How many different ways can you rearrange the letters in the word DOG?

(Hint: use the Fundamental Counting Principle)

9 different ways