Decimal Word Problems Worksheet

**Page 1**

1.

Solve - 3$x$ - 5 = 11 and round the value of $x$ to the nearest hundredths.

a. | 5.33 | ||

b. | 4.33 | ||

c. | - 4.33 | ||

d. | - 5.33 |

[Original equation.]

- 3

[Add 5 to both sides.]

[Divide each side by - 3.]

[Simplify.]

[Round to the nearest hundredth.]

To the nearest hundredths value of

Correct answer : (4)

2.

Mike, Jimmy, Brian and Jake plan to share an apartment in Milan. How much should each of them pay every month, if the rent of the apartment is $823.32 per month?

a. | $203.83 | ||

b. | $209.33 | ||

c. | $205.83 | ||

d. | $207.83 |

4

[Original equation.]

[Divide each side by 4.]

[Simplify.]

Each of them should pay $205.83 for the apartment.

Correct answer : (3)

3.

Find the value of $x$, if seven-hundredths times a number $x$ equals thirteen and five tenths.

a. | 192.85 | ||

b. | 19.85 | ||

c. | 190.85 | ||

d. | 19.28 |

Thirteen and five tenths is 13.5.

0.07

[Original equation.]

[Divide each side by 0.07]

[Simplify.]

The value of

Correct answer : (1)

4.

Solve 24.4$x$ + 17.9 = 58.1 and round the value of $x$ to the nearest tenth.

a. | 1.5 | ||

b. | 1.8 | ||

c. | 1.7 | ||

d. | 1.6 |

[Original equation.]

24.4

[Subtract 17.9 from each side.]

[Divide each side by 24.4.]

[Simplify.]

[Rounded to the nearest tenth.]

Correct answer : (4)

5.

A 26-storied building was rented to 26 different software companies for a total monthly rent of $24,857. If each company pays the same rent, then find the rent paid by each company.

a. | $954.04 | ||

b. | $956.04 | ||

c. | $957.04 | ||

d. | $955.04 |

26

[Write an equation.]

[Divide each side by 26.]

[Simplify.]

[Round to nearest cent.]

So, the rent paid by each company is $956.04.

Correct answer : (2)

6.

Carol is paid $12 an hour and $1.50 extra for every patient she attends. Solve the equation 12 + 1.50$p$ = 24, to find the number of patients she needs to attend to earn $24 an hour.

a. | 11 | ||

b. | 7 | ||

c. | 8 | ||

d. | 9 |

12 + 1.50

[Original equation.]

1.50

[Subtract 12 from each side.]

[Divide each side by 1.50.]

[Simplify.]

Carol has to attend 8 patients in order to earn $24 in an hour.

Correct answer : (3)

7.

Solve for $x$, if 159.06 - 48.2$x$ = 0.

a. | 5.8 | ||

b. | 2.3 | ||

c. | 4.8 | ||

d. | 3.3 |

[Original equation.]

159.06 = 48.2

[Add 48.2

[Divide both sides with 48.2.]

= 3.3

Correct answer : (4)

8.

Find the value of $x$, if 6$x$ - 6.2 = 4.2 - 6$x$.

a. | 3.36 | ||

b. | 6.06 | ||

c. | 4.06 | ||

d. | 0.86 |

[Original equation.]

6

[Combine like terms.]

12

[Add.]

[Divide each side by 12.]

Correct answer : (4)

9.

What is the value of $k$, if 3$k$ + 38.7 = 103.2?

a. | 23.1 | ||

b. | 21.5 | ||

c. | 23.3 | ||

d. | 22.9 |

[Original equation.]

3

[Subtract 38.7 from both sides.]

[Divide by 3 on both sides.]

Correct answer : (2)

10.

A car rental agency charges $40.44 for 8 hours and $6.34 for each extra hour. Josh rents a car and pays $65.80. Find the total number of hours for which he was charged.

a. | 13 | ||

b. | 14 | ||

c. | 11 | ||

d. | 12 |

Total amount = Amount taken for 8 hours + (Amount taken for each extra hour × Number of extra hours).

= 40.44 + (6.34 ×

[Substitute.]

= (6.34 ×

[Subtract 40.44 from both sides.]

= (6.34 ×

=

[Divide both sides with 6.34.]

Total number of hours Josh took the car for rent = 8 + 4 = 12.

Correct answer : (4)