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Algebra I - Word Problems - Printable Mathematics Worksheets - Wayground

Algebra I - Word Problems

11 questions

7th - 9th Grade

Mathematics

Algebra I - Word Problems gives Grade 7–9 mathematics students focused practice translating verbal statements into equations and solving for an unknown. The 11 multiple-choice items include equations with fractions, quotients, products, and integer values, along with real-world situations involving copier and cartridge costs, shopping totals, membership fees, ages, weights, and school attendance. Students must identify the relationship described in each sentence, represent it algebraically, solve the resulting equation, and select the matching answer. The contextual problems also require students to distinguish fixed amounts from per-unit costs and check whether a solution fits the situation. This free printable worksheet with an answer key works for independent practice, guided instruction, review, or an algebra assessment for students developing one-variable equation-solving skills.

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Worksheets

Algebra I - Word Problems

Total questions: 11

Name
Class
Date
1.

Five more than half a number is six. Find the number.

a)

-2

b)

2

c)

1

d)

-1

2.

Seven less than the quotient of a number and five is two. Find the number.

a)

35

b)

25

c)

45

d)

9

3.

Three fewer than four times a number is five more than twice the number. Find the number.

a)

−13-\frac{1}{3}

b)

4

c)

1

d)

2

4.

Cherokee High School order two copiers plus a supply of toner cartridges. Each copier cost $675, and each cartridge cost $80. If the total cost was $2310, how many cartridges were ordered?

a)

20 cartridges were ordered.

b)

21 cartridges were ordered.

c)

12 cartridges were ordered.

5.

Jack bought 8 pairs of socks and a T-shirt. His bill was $18.50 without tax. The T-shirt was $6.50. What was the price of each pair of socks?

a)

Each pair of socks costs $2.00.

b)

Each pair of socks costs $1.50.

c)

Each pair of socks costs $3.00.

6.

Mrs. Petragnani wants to go to the zoo with her family. A family membership costs $25 plus an additional $3 for each child’s pass. She spent $37 for a membership and passes. How many child passes did she buy?

a)

Mrs. Petragnani bought 4 child passes.

b)

Mrs. Petragnani bought 3 child passes.

c)

Mrs. Petragnani bought 5 child passes.

7.

Alexa is thinking of a number. Eight more than the product of 5 and the number is 93. Find her number.

a)

Alexa's number is 18.

b)

Alexa's number is -17.

c)

Alexa's number is 17.

d)

Alexa's number is -18.

8.

Jill is thinking of a number. Twenty less than one fourth of the number is  −45-45 . Find her number.

a)

Jill's number is 100.

b)

Jill's number is 260.

c)

Jill's number is -260.

d)

Jill's number is -100.

9.

Papa John is 50 years old. His age is 2 years more than 3 times the age of Jimmy John. How old is Jimmy John?

a)

Jimmy John is 16 years old.

b)

Jimmy John is 17 years old.

c)

Jimmy John is 18 years old.

d)

Jimmy John is 19 years old.

10.

Erin weighs 99 pounds. Her weight is five pounds less than two thirds of her father’s weight. How much does her father weigh?

a)

Erin's father weighs 312 pounds.

b)

Erin's father weighs 141 pounds.

c)

Erin's father weighs 156 pounds.

d)

Erin's father weighs 282 pounds.

11.

Marlton Middle School had a Valentine Dance. Four fifths of the students plus 7 teachers were there. If there were 495 people at the dance, how many students attend the school?

a)

627 students attend the school.

b)

2440 students attend the school.

c)

628 students attend the school.

d)

610 students attend the school.

Answer Key

Algebra I - Word Problems

Total questions: 11

1.
b)

2

2.
c)

45

3.
b)

4

4.
c)

12 cartridges were ordered.

5.
b)

Each pair of socks costs $1.50.

6.
a)

Mrs. Petragnani bought 4 child passes.

7.
c)

Alexa's number is 17.

8.
d)

Jill's number is -100.

9.
a)

Jimmy John is 16 years old.

10.
c)

Erin's father weighs 156 pounds.

11.
d)

610 students attend the school.

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FAQs

What does the Algebra I - Word Problems worksheet help students practice?

This worksheet helps Grade 7–9 students translate verbal statements and real-world scenarios into one-variable equations, then solve them using multiple-choice reasoning. Its 11 items include fractional relationships, quotients, products, fixed fees, per-item costs, ages, weights, and attendance totals, so students practice identifying the unknown and matching a solved value to the original situation.

How can I use this worksheet to teach translating word problems into equations?

Model one verbal equation first by underlining relationship words such as “half,” “times,” “less than,” and “more than,” then have students name the unknown before solving. Next, use the copier, sock, or membership problem to separate the fixed cost from the per-unit cost and write an equation together. Students can explain why their selected answer satisfies both the equation and the context before completing the remaining multiple-choice items independently.

What mistakes should I watch for when students complete this word-problem worksheet?

Students may reverse relationships such as “five more than half a number” or misread “less than,” leading to an incorrectly structured equation. They may also overlook fixed amounts in the copier, shopping, and membership problems, mishandle negative values or fractional coefficients, or choose an answer without substituting it back to check the stated total.

How do I assign and grade this Algebra I word-problem worksheet?

The worksheet is available as a printable PDF and as a digital quiz on Wayground, and it includes a complete answer key for all 11 multiple-choice questions. For printable submissions, you can grade student work by scanning it with the Wayground for Teachers app.

How can I differentiate this worksheet for my students?

In the worksheet’s Advanced Settings, adjust font spacing or font size to give students more room to read and annotate the equation-based word problems and answer choices. You can also apply a dyslexia-friendly font or translate the worksheet into another language to support access to its verbal and real-world scenarios.

Where can I find more worksheets like this on Wayground?

Wayground offers a broad collection of free printable worksheets and practice problems across subjects, with downloadable PDFs and answer keys to help students master essential skills and concepts. Browse more resources at https://wayground.com/en-us/worksheets.

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