1.4 - Writing Equations from Word Problems

ID: nogit-juhib
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Avatar for Ashley BallewAshley Ballew, BP BY-NC
Subject: Algebra
Grade: 9
Assignment Type: Worksheet
Standards: HSA-CED.A.1

A.CED.1

WorksheetAnswer Key

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.

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


4.

3 times the sum of 13\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 115\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 2xx-10 degrees and 3xx-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.

A template for answering this question. Ask your instructor for an alternative.


16.

Katie's hours per week:


17.

Elizabeth's hours per week:


18.

Siobhan's hours per week: