Equations with Decimals Worksheet

**Page 3**

21.

Negative twenty-two hundredths times a number $x$ equals the opposite of eighty-eight and eight tenths. Find the value of $x$.

a. | 4.0363 | ||

b. | 403.63 | ||

c. | 430.63 | ||

d. | 40.363 |

The opposite of eighty-eight and eight tenths = -88.8.

-0.22

[Original equation.]

[Divide each side by -0.22.]

[Simplify.]

So, the value of

Correct answer : (2)

22.

The sum of the opposite of twelve hundredths times a number $x$ and thirteen hundredths equals fifteen hundredths. Solve for $x$.

a. | -0.166 | ||

b. | 0.166 | ||

c. | -0.0166 | ||

d. | 0.0166 |

The sum of the opposite of twelve hundredths times a number

Fifteen hundredths = 0.15

-0.12

[Write an equation.]

-0.12

[Subtract 0.13 from each side.]

[Divide each side by -0.12]

[Simplify.]

Correct answer : (1)

23.

Ursula is paid $8.75 for 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 needs to attend to earn $13.75 in an hour.

a. | 5 | ||

b. | 6 | ||

c. | 3 | ||

d. | 4 |

8.75 + 1.25

[Original equation.]

1.25

[Subtract 8.75 from each side.]

[Divide each side by 1.25.]

[Simplify.]

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

Correct answer : (4)

24.

Lindsay wants to buy a bouquet of daisies and tulips for $27.5. A bunch of daisies costs $15 and that of tulips costs $2.5 each. Solve the equation 2.5$t$ + 15 = 27.5 to find $t$, the number of tulips Lindsay can buy.

a. | 6 | ||

b. | 4 | ||

c. | 5 | ||

d. | 7 |

[Original equation.]

2.5

[Subtract 15 from each side.]

[Divide each side by 2.5]

[Simplify.]

Lindsay can buy 5 tulips.

Correct answer : (3)