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Algebra Word Problems - Printable Mathematics Worksheets grade 1 - Wayground

Algebra Word Problems

14 questions

1st - 1st Grade

Mathematics

Algebra Word Problems is a Grade 1 mathematics worksheet that helps students connect everyday situations to algebraic equations and solve for an unknown. The 14 problems use familiar contexts such as cooking, shopping, money, attendance, running, and sharing a bill to practise addition, subtraction, multiplication, division, and fractional relationships. Students identify equations, select all equations that apply, and calculate missing values. The worksheet includes 7 multiple-choice questions, 2 multiple-select questions, and 5 fill-in-the-blank problems. Students work with unknowns in different positions, including equations such as 2 + x = 7, x + 30 = 47, and x + 12 = 30, while also solving simple word problems involving totals, differences, products, and equal sharing. This free printable worksheet includes a complete answer key for checking student work.

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Worksheets

Algebra Word Problems

Total questions: 14

Name
Class
Date
1.

Lisa is cooking muffins. The recipe calls for 7 cups of sugar. She has already put in 2 cups. Select the equation that shows how to solve for how many she needs to put in.

a)

2 + x = 7

b)

x - 2 = 7

c)

x - 7 = 2

d)

7x = 2

2.

Which equation shows how to solve for how many packages of diapers you can buy with $40 if one package costs $8?

a)

x + 8 =40x\ +\ 8\ =40  

b)

40 − x = 840\ -\ x\ =\ 8  

c)

18x = 40\frac{1}{8}x\ =\ 40  

d)

8x = 408x\ =\ 40  

3.

One number is 4 times as large as another. Their sum is 45. What are the numbers? Select the two that apply.

a)

6

b)

9

c)

12

d)

27

e)

36

4.

Angela sold eight more new cars this year than Carmen. If together they sold a total of 88 cars, how many cars did Angela sell?

(a)  

5.

Last Friday Trevon had $29. Over the weekend he received some money for cleaning the attic. He now has $41. Which equation(s) shows how to solve for how much money he received? Pick all that apply.

a)

29x = 41

b)

x - 41 = 29

c)

41 - x = 29

d)

29 + x = 41

e)

x + 29 = 41

6.

Last week Julia ran 30 miles more than Pranav. Julia ran 47 miles. Which equation shows how many miles Pranav ran?

a)

x - 30 = 47

b)

x + 30 = 47

c)

30x = 47

d)

47x = 30

7.

Four fifths of a class of 480 shows up for class one day. Which equation can be used to solve for how many students attended?

a)

45x = 480\frac{4}{5}x\ =\ 480  

b)

4x = 4804x\ =\ 480  

c)

54x = 480\frac{5}{4}x\ =\ 480  

d)

5x = 4805x\ =\ 480  

8.

Jill sold half of her comic books and then bought sixteen more. She now has 36. Which equation shows how to solve the question: "With how many did she begin?"

a)

  x2+36=16\frac{x}{2}+36=16  

b)

2x + 16=362x\ +\ 16=36  

c)

2(x + 16) = 362\left(x\ +\ 16\right)\ =\ 36  

d)

x2  + 16 = 36\frac{x}{2\ }\ +\ 16\ =\ 36  

9.

The product of X and 5 is 55. How much is x?

(a)  

10.

The sum of X and 12 is 30. How much is x?

(a)  

11.

The difference between X and 5 is 15. How much is x?

(a)  

12.

How many boxes of envelopes can you buy with $12 if one box costs $3?

(a)  

13.

Your mother gave you $13.32 with which to buy a present. This covered 35\frac{3}{5}   of the cost. How much did the present cost?

a)

$7.92

b)

$18.64

c)

$22.20

d)

$24.80

14.

At a restaurant, Mike and his three friends decided to divide the bill evenly. If each person paid $13 then what was the total bill?

a)

$3.25

b)

$39.00

c)

$52.00

d)

$65.00

Answer Key

Algebra Word Problems

Total questions: 14

1.
a)

2 + x = 7

2.
d)

8x = 408x\ =\ 40  

3.
b)

9

, e)

36

4.
48
5.
c)

41 - x = 29

, d)

29 + x = 41

, e)

x + 29 = 41

6.
b)

x + 30 = 47

7.
a)

45x = 480\frac{4}{5}x\ =\ 480  

8.
d)

x2  + 16 = 36\frac{x}{2\ }\ +\ 16\ =\ 36  

9.
11
10.
18
11.
20
12.
4
13.
c)

$22.20

14.
c)

$52.00

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FAQs

What does the Algebra Word Problems worksheet cover?

This worksheet teaches students to translate real-world situations into equations and solve for an unknown using addition, subtraction, multiplication, division, and fractional relationships. Its 14 items combine multiple choice, multiple select, and fill-in-the-blank formats, including prompts where students identify equations such as 2 + x = 7 or solve values such as the unknown in x + 12 = 30.

How can I use this worksheet to teach students to write equations from word problems?

Introduce one context at a time by asking students to identify the known amount, the unknown, and the relationship between them before choosing an equation. Use the equation-selection items about muffins, diapers, money, and running to discuss why the operation and placement of x match the story, then have students solve the later fill-in-the-blank problems to apply the same reasoning independently.

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

Students may reverse the known and unknown quantities, such as choosing x - 2 = 7 instead of 2 + x = 7, or use multiplication when a situation describes a difference or total. In the multiple-select items, watch for students who choose only one equivalent equation or select an equation that does not preserve the relationship; in the fill-in-the-blank items, check that they solve for x rather than repeat a number stated in the problem.

How do I assign and grade this Algebra Word Problems worksheet?

The worksheet is available as a printable PDF and as a digital quiz on Wayground, so you can assign the same equation-modeling practice in either format. It includes a complete answer key, and printable submissions can be graded by scanning student work with the Wayground for Teachers app.

How can I differentiate this Algebra Word Problems worksheet for my students?

In the worksheet’s Advanced Settings, adjust font spacing and font size to make the word-problem text and equation choices easier to read. You can also apply a dyslexia-friendly font or translate the worksheet into another language, helping students access the shopping, money, and everyday-situation prompts without changing the task format.

Where can I find more worksheets like this on Wayground?

Wayground offers a comprehensive collection of free printable worksheets and practice problems across all 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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