# 1.4 - Writing Equations from Word Problems

A.CED.1

Worksheet | 18 questions (14 autogradable) | 14 points

### Write an equation for each description. Let x = a number. Do not solve.

1.

4 times a number is 16

2.

A number minus 11 is 12 .

3.

$\frac{9}{10}$ times a number plus 6 is 51

4.

3 times the sum of $\frac{1}{3}$ of a number and 8

is 11.

### Write an equation and solve to answer each question below.

5.

Jan's age is 3 years less than twice Tritt's age. The sum of their ages is 30. Find their ages.

6.

Jan's Age:

7.

Tritt's age:

8.

Iris charges a fee for her consulting services plus an hourly rate that is 1$\frac{1}{5}$ times her fee. On a 7-hour job, Iris charged $470. What is her fee and her hourly rate?

9.

The fee is:

10.

Her hourly rate is:

11.

When angles are complementary, the sum of their measures is 90 degrees. Two complementary

angles have measures of 2$x$-10 degrees and 3$x$-10 degrees. Find the measures of each angle.

12.

Angle 1:

13.

Angle 2:

14.

Bill wants to rent a car. Rental Company A charges $35 per day plus $0.10 per mile driven. Rental

Company B charges $25 per day plus $0.15 per mile driven. After how many miles driven will the

price charged by each company be the same?

15.

Katie, Elizabeth, and Siobhan volunteer at the hospital. In a week, Katie volunteers 3 hours more

than Elizabeth does and Siobhan volunteers 1 hour less than Elizabeth. Over 3 weeks, the number

of hours Katie volunteers is equal to the sum of Elizabeth's and Siobhan's volunteer hours in 3

weeks. Complete the table to find out how many hours each person volunteers each week.

16.

Katie's hours per week:

17.

Elizabeth's hours per week:

18.

Siobhan's hours per week: