# 1.4 - Writing Equations from Word Problems

ID: nogit-juhib
Ashley Ballew, BP BY-NC
Subject: Algebra

A.CED.1

18 questions

# 1.4 - Writing Equations from Word Problems

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##### 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:

Show Work

7) Tritt's age:

Show Work

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 $470. What is her fee and her hourly rate? 9) The fee is: Show Work 10) Her hourly rate is: Show Work 11) When angles are complementary, the sum of their measures is 90 degrees. Two complementary angles have measures of 2﻿$x$﻿-10 degrees and 3﻿$x$﻿-10 degrees. Find the measures of each angle. 12) Angle 1: Show Work 13) Angle 2: Show Work 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?

Show Work

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:

Show Work

17) Elizabeth's hours per week:

Show Work

18) Siobhan's hours per week:

Show Work