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Algebraic Expressions Worksheets - Page 2

Algebraic Expressions Worksheets
  • Page 2
 11.  
Smith earns $1,275 per month plus an 8% commission on his sales. He sold x dollars of merchandise last month. Which equation can be used to find his total earnings of last month (y)?
a.
y = (1,275 + 0.08)x
b.
y = x + 0.08x
c.
y = 1,275 + 0.08x
d.
y = 0.08(1,275) + x


Answer: (c)


Correct answer : (3)
 12.  
A waiter earned $64 for 8 hours of work, including $28 in tips. Which equation helps you to find his hourly wage?
a.
w = 64(8)
b.
8(64) - 28 = w
c.
28w - 64 = 8
d.
8w + 28 = 64


Answer: (d)


Correct answer : (4)
 13.  
Zelma had $20 in her pocket. The money left with her after buying books is equal to $20 minus $3.40 times the number of books she bought. Choose the function that represents a relation between the number of books she bought and the money left with her.
a.
f(n) = 20 - 3.40n
b.
f(n) = 23 - 3.40n
c.
f(n) = 20 + 3.40n
d.
f(n) = 20 - n


Answer: (a)


Correct answer : (1)
 14.  
Nathan purchased a trouser and the shopkeeper gave him a discount of 17%. Select a function rule to represent the price of the trouser after the discount.
a.
f(x) = x + 17x
b.
f(x) = x - 0.17x
c.
f(x) = x + 0.17x
d.
f(x) = x - 17x


Answer: (b)


Correct answer : (2)
 15.  
Nathan & Co., organized a fund raiser for the cyclone victims. Each child ticket costs $5 and an adult ticket costs $8. Choose an equation that models the total amount collected, if the company collected $521 .
a.
5x - 8y = 521
b.
- 5x + 8y = 521
c.
5x + 8y = 521
d.
5x + y = 521


Answer: (c)


Correct answer : (3)
 16.  
Which of the following choices represents the phrase "5 added to 4 times x is equal to 25"?
a.
4x - 5 = 25
b.
5 + 4x = 25
c.
x5 + 5 = 25
d.
4(x + 5) = 25


Solution:

4 times x = 4x

5 added to 4x = 5 + 4x
[Add 5 to 4x.]

5 added to 4 times x is equal to 25 is 5 + 4x = 25.


Correct answer : (2)
 17.  
Which of the following expressions represents a two-digit number with x in its ones place and y in its tens place?
a.
xy
b.
y + x
c.
10y+x
d.
10y - x


Solution:

A two-digit number with x in its units place and y in its tens place has a value of 10y+x.

Among the choices, choice C is a two-digit number with x in its units place and y in its tens place.


Correct answer : (3)
 18.  
A problem involves adding 6 to x and then dividing the sum by 7 followed by subtracting 5 from the quotient. Which of the following is the result obtained by performing the operations described above?
a.
x + 297
b.
x - 297
c.
x - 357
d.
x + 357


Solution:

= x + 6
The first step of the operation is, add 6 to x

= x + 67
The second step of the operation is, divide the sum by 7

= x + 67 - 5
The third step of the operation is, subtract 5 from the quotient

= x + 67 - 51
[Write 5 as 5 / 1.]

= x + 6 - 357
[The LCD of 7 and 1 is 7.]

= x - 297
[Simplify.]


Correct answer : (2)
 19.  
Which of the following expressions is the correct representation of the cost of m dozens of chocolate boxes, if each chocolate box costs $24.24?
a.
24.24m
b.
24.24m + 12
c.
24.24(12)m
d.
24.24 + 12m


Solution:


= 24.24(12)
The cost of a dozen chocolate boxes = The cost of each chocolate box × 12
[1 dozen = 12.]
[Substitute the cost of each chocolate box.]

The cost of m dozens of chocolate boxes = 24.24(12)(m)


Correct answer : (3)
 20.  
Danielle is 35 years younger than Chris. If Chris is a years, then what is Danielle's age?
a.
35a
b.
a + 35
c.
a35
d.
a - 35


Solution:

Age of Chris = a years.

Danielle is 35 years younger than Chris.

So, Danielle's age is (a - 35) years.


Correct answer : (4)

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