Equations with Decimals Worksheet

**Page 2**

11.

Rose is paid $8.75 an hour and $1.25 for every patient she attends in a hospital. Solve the equation 8.75 + 1.25$p$ = 13.75 to find out the number of patients she has to attend to earn $13.75 in an hour.

a. | 6 | ||

b. | 3 | ||

c. | 4 | ||

d. | 5 |

8.75 + 1.25

[Original equation.]

1.25

[Subtract 8.75 from each side.]

[Divide each side by 1.25.]

[Simplify.]

Rose has to attend 4 patients in order to earn $13.75 in an hour.

Correct answer : (3)

12.

Solve: 3.6$x$ + 10.0 = 2.6$x$ - 4.0

a. | -15.1 | ||

b. | 14 | ||

c. | -14 | ||

d. | 15.1 |

[Original equation.]

10(3.6

[Multiply each side by 10 to rewrite the equation without decimals.]

36

[Use distributive property.]

10

[Subtract 26

10

[Subtract 100 from each side.]

[Divide each side by 10.]

[Simplify.]

Correct answer : (3)

13.

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 each side.]

[Divide each side by -3.]

[Simplify.]

[Round to the nearest hundredth.]

The nearest hundredth value of

Correct answer : (1)

14.

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

a. | -5.33 | ||

b. | 4.33 | ||

c. | 5.33 | ||

d. | -4.33 |

[Original equation.]

-3

[Add 5 to each side.]

[Divide each side by -3.]

[Simplify.]

[Round to the nearest hundredth.]

To the nearest hundredths value of

Correct answer : (1)

15.

The rent of an apartment is $819.24 per month in Milan. Ed, Bill, Brad and Victor plan to share the apartment. Find the share that each of them has to pay.

a. | $206.81 | ||

b. | $202.81 | ||

c. | $204.81 | ||

d. | $208.31 |

4

[Original equation.]

[Divide each side by 4.]

[Simplify.]

The share that each of them has to pay is $204.81

Correct answer : (3)

16.

Write the equation for the sentence, 'Seven-hundredths times a number $x$ equals thirteen and five tenths'.

a. | 0.7$x$ = 13.5 | ||

b. | 0.007$x$ = 13.5 | ||

c. | 0.07$x$ = 1.35 | ||

d. | 0.07$x$ = 13.5 |

Thirteen and five tenths is 13.5

0.07

[Write the equation.]

Correct answer : (4)

17.

"The product of negative forty-six hundredths and a number $x$ equals fifty-seven and six tenths." Which of the equations best represents the sentence?

a. | -0.46$x$ = 57.6 | ||

b. | 0.046$x$ = 57.6 | ||

c. | 0.46$x$ = 57.6 | ||

d. | -0.046$x$ = 57.6 |

The product of negative forty-six hundredths and a number

Fifty-seven and six tenths is 57.6

The equation will be -0.46

Correct answer : (1)

18.

"Seven-hundredths times a number $x$ equals thirteen and five tenths and solve for $x$." Write an equation for the sentence.

a. | 190.85 | ||

b. | 19.85 | ||

c. | 19.28 | ||

d. | 192.85 |

Thirteen and five tenths is 13.5

0.07

[Original equation.]

[Divide each side by 0.07]

[Simplify.]

The value of

Correct answer : (4)

19.

Solve 55.5$x$ + 49.6 = 83.8 and round the value of $x$ to the nearest tenth.

a. | 0.8 | ||

b. | 0.7 | ||

c. | 0.6 | ||

d. | 0.5 |

[Original equation.]

55.5

[Subtract 49.6 from each side.]

[Divide each side by 55.5.]

[Simplify.]

[Rounded to the nearest tenth.]

Correct answer : (3)

20.

A 16-storied building was rented to 16 different software companies for $13473 as a whole, per month. Find the amount of rent paid by each company, if each company pays the same amount of rent.

a. | $840.06 | ||

b. | $843.06 | ||

c. | $842.06 | ||

d. | $841.06 |

16

[Write an equation.]

[Divide each side by 16.]

[Simplify.]

[Round to nearest cent.]

So, the amount of rent paid by each company is $842.06.

Correct answer : (3)