﻿ Algebraic Expressions Worksheets | Problems & Solutions

# Algebraic Expressions Worksheets

Algebraic Expressions Worksheets
• Page 1
1.
Choose the verbal expression for 4$a$ + $b$2.
 a. The sum of 4 times $a$ and $b$ squared. b. The difference of 4 times $a$ and $b$ squared. c. The sum of $a$ and $b$ squared. d. The sum of 4 times $a$ and $b$.

2.
The area of the rectangle whose length is 5 times its width is equal to 125 square meters. Write an equation for the area.
[The area of a rectangle equals length times width. Let $x$ represent the width of the rectangle.]
 a. 12$x$ = 125 b. 5$x$2 = 25 c. 6$x$ = 125 d. 5$x$2 = 125

#### Solution:

The area of a rectangle = length × width

Length = 5x
[Length is 5 times its width.]

Area of a rectangle = 5x × x
[Substitute the values of length and width in step 1.]

125 = 5x2
[Area of the rectangle is 125 square meters.]

So, equation for the area is 5x2 = 125.

3.
Identify the expression that represents the phrase.
the product of five and a number
 a. 5 - $x$ b. 5$x$ c. 5 + $x$ d. $x$ - 5

4.
Which of the expressions best suits for the phrase?
a number divided by seven
 a. $\frac{x}{7}$ b. $\frac{7}{x}$ c. 7 - $x$ d. 7$x$

5.
Choose the word phrase for the expression 6$d$.
 a. 6 more than a number b. add a number and 6 c. 6 less than a number d. 6 times a number

6.
Which of the expressions best suits for the phrase?
six less than a number
 a. $x$ - 6 b. 6 + $x$ c. 6 ÷ $x$ d. 6 - $x$

7.
Identify the expression that represents the phrase.
5 more than a number
 a. 5$x$ b. $x$ - 5 c. $x$ + 5 d. $\frac{x}{5}$

8.
Identify a word phrase for the expression $x$ - 12.
 a. sum of a number and 12 b. a number less than 12 c. the difference between a number and 12 d. 12 times a number

9.
The length of a rectangle($l$) is 4 more than twice the width ($w$). The perimeter (P) is 28 units. Which expression would you use to find the length of the rectangle?
 a. 2($w$ + 4) + $w$ = 28 b. 2$w$ + 4 + $w$ = 28 c. 2(2$w$ + $w$) + 4 = 28 d. 2(2$w$ + 4 + $w$) = 28

10.
The clock is showing 1 o'clock now. Which equation shows the time ($p$) 3 hours later?
 a. 1 - 3 = $p$ b. 1 + 3 = $p$ c. 3 = $p$ + 1 d. 1 + $p$ = 3