Question 1

Which of the following fractions is equivalent to $\frac{3}{5}$?

Accepted Answer

$\frac{9}{15}$

Question 2

Simplify the fraction $\frac{28}{56}$ to its lowest terms.

Accepted Answer

$\frac{1}{2}$

Question 3

A pizza is cut into 12 equal slices. If 8 slices are eaten, what fraction of the pizza remains?

Accepted Answer

$\frac{1}{3}$

Question 4

Evaluate the expression $(-3)^3$.

Accepted Answer

$-27$

Question 5

Which of the following is the correct exponential form for $8 	imes 8 	imes 8 	imes 8$?

Accepted Answer

$8^4$

Question 6

Evaluate the algebraic expression $2x + 5$ when $x = 4$.

Accepted Answer

$13$

Question 7

Translate the phrase 'the sum of 17 and a number $x$' into an algebraic expression.

Accepted Answer

$17 + x$

Question 8

Write an equation for the following scenario: 'Seven more than twice a number is equal to 19.' Let $x$ be the number.

Accepted Answer

$2x + 7 = 19$

Question 9

Use the distributive property to simplify $4(x - 8)$.

Accepted Answer

$4x - 32$

Question 10

Combine like terms in the expression $3x + 7x - 2$.

Accepted Answer

$10x - 2$

Question 11

A water tank contains 10 liters of water and is being filled at a rate of $r$ liters per minute. Write an expression for the amount of water in the tank after $t$ minutes.

Accepted Answer

$10 + rt$

Question 12

Evaluate $\frac{1}{2}a + 4b$ when $a = 10$ and $b = -6$.

Accepted Answer

$-19$

Question 13

Which of the following is a proper fraction?

Accepted Answer

$\frac{2}{5}$

Question 14

Simplify the expression $2(x + 3) + 4x$.

Accepted Answer

$6x + 6$

Question 15

Evaluate $-8y^3$ when $y = 2$.

Accepted Answer

$-64$

Question 16

Which of the following expressions represents 'negative three times the value of $x$ increased by 5'?

Accepted Answer

$-3x + 5$

Question 17

If $x = -2$, what is the value of $x^2 + 4x + 6$?

Accepted Answer

$2$

Question 18

Which of the following is the correct translation for 'the quotient of a number $x$ and 6 subtracted from 9 is equal to 1'?

Accepted Answer

$9 - \frac{x}{6} = 1$

Question 19

Use the distributive property to expand and simplify $-2(3x - 4y + 5)$.

Accepted Answer

$-6x + 8y - 10$

Question 20

Combine like terms and simplify: $5a - 3b + 2a + 7b$.

Accepted Answer

$7a + 4b$

Intermediate Algebra Study Guide: Real Numbers and Algebraic Expressions

Study Guide - Practice Questions

Study Guide - Flashcards