Equations with Decimals Worksheet

**Page 1**

1.

Jimmy and Arthur bought a vanilla cake on Francis's birthday, which cost $4.40. Both of them shared the cost equally. Find the share of each person.

a. | $4.20 | ||

b. | $1.60 | ||

c. | $3.20 | ||

d. | $2.20 |

2

[Write the equation from data.]

[Divide each side by 2.]

[Simplify.]

The share of each person is $2.20.

Correct answer : (4)

2.

Solve -6$x$ + 8 = 18 and round the value of $x$ to the nearest hundredth.

a. | 1.67 | ||

b. | -1.67 | ||

c. | -0.67 | ||

d. | 0.67 |

[Original equation.]

-6

[Subtract 8 from each side.]

[Divide each side by -6.]

[Simplify.]

If the digit in the thousandth place is greater than or equal to 5, round up. Otherwise round down.

[Round to the nearest hundredths.]

Correct answer : (2)

3.

Solve 21.3$x$ + 14.3 = 55.2 and round the value of $x$ to the nearest tenth.

a. | 2.1 | ||

b. | 1.8 | ||

c. | 2.0 | ||

d. | 1.9 |

[Original equation.]

21.3

[Subtract 14.3 from each side.]

[Divide each side by 21.3.]

[Simplify.]

[Rounded to the nearest tenth.]

Correct answer : (4)

4.

A 21-storied building was rented to 21 different software companies for $23668 as a whole, per month. Find the amount of rent paid by each company, if each company pays the same rent.

a. | $1127.05 | ||

b. | $1125.05 | ||

c. | $1126.05 | ||

d. | $1128.05 |

21

[Write an equation.]

[Divide each side by 21.]

[Simplify.]

[Round to nearest cent.]

So, the rent paid by each company is $1127.05.

Correct answer : (1)

5.

Mrs. Ursula took a face-lifting treatment that costed her $784.35. The total cost included the cost of the treatment and a 8% tax. Find the cost of the treatment without the tax.

a. | $726.25 | ||

b. | $706.25 | ||

c. | $746.25 | ||

d. | $716.25 |

The equation to be solved to find the cost of the treatment without the tax is Cost of the treatment without tax + Tax x (Cost of the treatment without tax) = Total cost.

[Original equation.]

1.08

[Combine like terms.]

[Divide each side by 1.08.]

= 726.25

[Simplify.]

So, the cost of the face-lifting treatment without the tax is $726.25.

Correct answer : (1)

6.

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

a. | 4.0363 | ||

b. | 40.363 | ||

c. | 403.63 | ||

d. | 430.63 |

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 : (3)

7.

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. | -0.0166 | ||

c. | 0.166 | ||

d. | 0.0166 |

The sum of the opposite of twelve hundredths times a number

Fifteen hundredths = 0.15

-0.12

[Write the equation.]

-0.12

[Subtract 0.13 from each side.]

[Divide each side by -0.12]

[Simplify.]

Correct answer : (1)

8.

5 participants ran in a 941 meters relay with each covering the same distance. How much distance did each cover?

a. | 187.20 meters | ||

b. | 189.20 meters | ||

c. | 186.20 meters | ||

d. | 188.20 meters |

5

[Original equation.]

=

[Divide each side by 5.]

= 188.20

[Simplify.]

Each of them covers a distance of 188.20 meters.

Correct answer : (4)

9.

Rose wants to buy a bouquet of daisies and tulips for $10.5. A bunch of daisies cost $6 and the tulips cost $1.5 each. Solve the equation 1.5$t$ + 6 = 10.5 to find $t$, the number of tulips Rose can buy.

a. | 4 | ||

b. | 5 | ||

c. | 3 | ||

d. | 2 |

[Original equation.]

1.5

[Subtract 6 from each side.]

[Divide each side by 1.5]

[Simplify.]

Rose can buy 3 tulips.

Correct answer : (3)

10.

Mike arranged for a dinner at a restaurant on the occasion of his birthday. The total bill was $895.75, which included the cost of the dinner and a 9% tip. Find the cost of the dinner arranged by Mike without the tip.

a. | $811.79 | ||

b. | $821.79 | ||

c. | $831.79 | ||

d. | None of the above |

The equation to be solved to find the cost of the dinner without the tip is, Cost of the dinner without tip + Tip × (Cost of the dinner without tip ) = Total bill.

[Original equation.]

1.09

[Combine like terms.]

[Divide each side by 1.09.]

[Simplify.]

[Round to the nearest cent.]

The cost of the dinner without the tip is $821.79.

Correct answer : (2)