Algebraic Expressions Worksheets

Algebraic Expressions Worksheets
  • Page 1
 1.  
Choose the verbal expression for 4a + b2.
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.


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 x represent the width of the rectangle.]
a.
12x = 125
b.
5x2 = 25
c.
6x = 125
d.
5x2 = 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.


Correct answer : (4)
 3.  
Identify the expression that represents the phrase.
the product of five and a number
a.
5 - x
b.
5x
c.
5 + x
d.
x - 5


Answer: (b)


Correct answer : (2)
 4.  
Which of the expressions best suits for the phrase?
a number divided by seven
a.
x7
b.
7x
c.
7 - x
d.
7x


Answer: (a)


Correct answer : (1)
 5.  
Choose the word phrase for the expression 6d.
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
a.
x - 6
b.
6 + x
c.
6 ÷ x
d.
6 - x


Answer: (a)


Correct answer : (1)
 7.  
Identify the expression that represents the phrase.
5 more than a number
a.
5x
b.
x - 5
c.
x + 5
d.
x 5


Answer: (c)


Correct answer : (3)
 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


Answer: (c)


Correct answer : (3)
 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.
2w + 4 + w = 28
c.
2(2w + w) + 4 = 28
d.
2(2w + 4 + w) = 28


Answer: (d)


Correct answer : (4)
 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


Answer: (b)


Correct answer : (2)

More Algebraic Expressions Worksheets
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