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Algebraic Expressions Worksheets
Practice Problems
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 = 5x
[Area of the rectangle is 125 square meters.]
So, equation for the area is 5x
Algebraic Expressions Worksheets
- Page 1
1.
Choose the verbal expression for 4 + 2.
 | a. | The sum of 4 times and squared. | |
| b. | The difference of 4 times and squared. | ||
| c. | The sum of and squared. | ||
| d. | The sum of 4 times and . |
Answer: (a)
Correct answer : (1)
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 represent the width of the rectangle.]
[The area of a rectangle equals length times width. Let represent the width of the rectangle.]
| a. | 12 = 125 | ||
| b. | 52 = 25 | ||
| c. | 6 = 125 | ||
| d. | 52 = 125 |
Solution:
The area of a rectangle = length × widthLength = 5
[Length is 5 times its width.]
Area of a rectangle = 5
[Substitute the values of length and width in step 1.]
125 = 5
[Area of the rectangle is 125 square meters.]
So, equation for the area is 5
Correct answer : (4)
3.
Identify the expression that represents the phrase.
the product of five and a number
the product of five and a number
| a. | 5 - | ||
| b. | 5 | |
| c. | 5 + | ||
| d. | - 5 |
Answer: (b)
Correct answer : (2)
4.
Which of the expressions best suits for the phrase?
a number divided by seven
a number divided by seven
| a. | ||
| b. | |||
| c. | 7 - | ||
| d. | 7 |
Answer: (a)
Correct answer : (1)
5.
Choose the word phrase for the expression 6.
| a. | 6 more than a number | ||
| b. | add a number and 6 | ||
| c. | 6 less than a number | ||
| d. | 6 times a number |
Answer: (d)
Correct answer : (4)
6.
Which of the expressions best suits for the phrase?
six less than a number
six less than a number
| a. | - 6 | |
| b. | 6 + | ||
| c. | 6 ÷ | ||
| d. | 6 - |
Answer: (a)
Correct answer : (1)
7.
Identify the expression that represents the phrase.
5 more than a number
5 more than a number
| a. | 5 | ||
| b. | - 5 | ||
| c. | + 5 | |
| d. |
Answer: (c)
Correct answer : (3)
8.
Identify a word phrase for the expression - 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 |
Answer: (c)
Correct answer : (3)
9.
The length of a rectangle() is 4 more than twice the width (). The perimeter (P) is 28 units. Which expression would you use to find the length of the rectangle?
| a. | 2( + 4) + = 28 | ||
| b. | 2 + 4 + = 28 | ||
| c. | 2(2 + ) + 4 = 28 | ||
| d. | 2(2 + 4 + ) = 28 |
Answer: (d)
Correct answer : (4)
10.
The clock is showing 1 o'clock now. Which equation shows the time () 3 hours later?
| a. | 1 - 3 = | ||
| b. | 1 + 3 = | |
| c. | 3 = + 1 | ||
| d. | 1 + = 3 |
Answer: (b)
Correct answer : (2)