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. | $y$ = $x$ + 0.08$x$ | ||

c. | $y$ = 1,275 + 0.08$x$ | ||

d. | $y$ = 0.08(1,275) + $x$ |

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. | 28$w$ - 64 = 8 | ||

d. | 8$w$ + 28 = 64 |

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 - 3.40$n$ | ||

b. | f($n$) = 23 - 3.40$n$ | ||

c. | f($n$) = 20 + 3.40$n$ | ||

d. | f($n$) = 20 - $n$ |

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. | $f$($x$) = $x$ + 17$x$ | ||

b. | $f$($x$) = $x$ - 0.17$x$ | ||

c. | $f$($x$) = $x$ + 0.17$x$ | ||

d. | $f$($x$) = $x$ - 17$x$ |

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. | 5$x$ - 8$y$ = 521 | ||

b. | - 5$x$ + 8$y$ = 521 | ||

c. | 5$x$ + 8$y$ = 521 | ||

d. | 5$x$ + $y$ = 521 |

Correct answer : (3)

16.

Which of the following choices represents the phrase "5 added to 4 times $x$ is equal to 25"?

a. | 4$x$ - 5 = 25 | ||

b. | 5 + 4$x$ = 25 | ||

c. | $\frac{x}{5}$ + 5 = 25 | ||

d. | 4($x$ + 5) = 25 |

5 added to 4

[Add 5 to 4

5 added to 4 times

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. | $\mathrm{xy}$ | ||

b. | $y$ + $x$ | ||

c. | 10$\mathrm{y+x}$ | ||

d. | 10$y$ - $x$ |

Among the choices, choice C is a two-digit number with

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. | $\frac{x+29}{7}$ | ||

b. | $\frac{x-29}{7}$ | ||

c. | $\frac{x-35}{7}$ | ||

d. | $\frac{x+35}{7}$ |

The first step of the operation is, add 6 to

=

The second step of the operation is, divide the sum by 7

=

The third step of the operation is, subtract 5 from the quotient

=

[Write 5 as

=

[The LCD of 7 and 1 is 7.]

=

[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. | 24.24$m$ | ||

b. | 24.24$m$ + 12 | ||

c. | 24.24(12)$m$ | ||

d. | 24.24 + 12$m$ |

= 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

Correct answer : (3)

20.

Danielle is 35 years younger than Chris. If Chris is $a$ years, then what is Danielle's age?

a. | 35$a$ | ||

b. | $a$ + 35 | ||

c. | $\frac{a}{35}$ | ||

d. | $a$ - 35 |

Danielle is 35 years younger than Chris.

So, Danielle's age is (

Correct answer : (4)