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One and Two Step Equations - Printable Math Worksheets 9th Grade - Wayground

One and Two Step Equations

Emily Dominguez

Created by Emily Dominguez

16 questions

9th Grade

Math

Updated Aug 2026

One and Two Step Equations is a Grade 9 mathematics worksheet that builds fluency with inverse operations, equality properties, and solving linear equations. Students identify the inverse of subtraction, determine which operation to use first, and select the Addition and Division Properties of Equality needed to solve an equation such as 2x - 5 = 10. The 16 questions include multiple-choice, multiple-select, and fill-in-the-blank items. Students then solve one- and two-step equations involving integers, multiplication or division, and fractional coefficients, including equations such as x - 10 = 3, 2x + 6 = 12, and (4/3)x - 5 = 3. This progression helps students connect equation-solving vocabulary and properties to accurate procedural work. It is a free printable worksheet with a complete answer key for Grade 9 practice, independent work, review, or a quick skills check.

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One and Two Step Equations

Total questions: 16

Name
Class
Date
1.

What is the inverse operation of subtraction?

a)

Multiplication

b)

Division

c)

Addition

d)

Exponentiation

2.

In two step equations, what operation should you do first?

a)

Add/Subtract

b)

Multiply/Divide

3.

In the following equation, what properties could we use to solve?


2x - 5 = 10

a)

Addition Property of Equality

b)

Distributive Property

c)

Division Property of Equality

d)

Multiplication Property of Equality

e)

Subtraction Property of Equality

4.

Which property id being used in the following solution?

3x = 9

x = 9

a)

Addition Property of Equality

b)

Subtraction Property of Equality

c)

Multiplication Property of Equation

d)

Division Property of Equality

5.

x - 10 = 3

(a)  

6.

-30y = 120

(a)  

7.

4 + a = 2

(a)  

8.

 k2=13\frac{k}{2}=13  

(a)  

9.

5x = 125

(a)  

10.

2x + 6 = 12

(a)  

11.

 y3−2=14\frac{y}{3}-2=14  

(a)  

12.

7x - 9 = 40

(a)  

13.

53y - 7 = 46

(a)  

14.

 43x−5=3\frac{4}{3}x-5=3  

(a)  

15.

 23x=10\frac{2}{3}x=10  

(a)  

16.

What teams do I coach/manage?

a)

Volleyball

b)

Jewels (Dance)

c)

Cheerleading

d)

Swimming

e)

Soccer

WaygroundAnswer Key

One and Two Step Equations

Total questions: 16

1.
c)

Addition

2.
a)

Add/Subtract

3.
a)

Addition Property of Equality

, c)

Division Property of Equality

4.
d)

Division Property of Equality

5.
13, 13, 13
6.
-4
7.
-2
8.
26
9.
25
10.
3
11.
36
12.
7
13.
1
14.
6
15.
15
16.
b)

Jewels (Dance)

, c)

Cheerleading

FAQs

What does the One and Two Step Equations worksheet help students learn?

This Grade 9 worksheet helps students use inverse operations and Properties of Equality to solve one- and two-step linear equations. Its multiple-choice and multiple-select questions check whether students can identify the correct operation and property, while 11 fill-in-the-blank problems require them to calculate solutions involving integers, multiplication, division, and fractional coefficients.

How can I use this worksheet to teach one- and two-step equations?

Begin with the first items to review inverse operations and the order of operations identified for two-step equations, then model how each step preserves equality. Use the 2x - 5 = 10 property-selection item to discuss why addition and division are needed before students complete the equation-solving items independently. Ask students to explain which operation undoes each term in problems such as 2x + 6 = 12 or y/3 - 2 = 14.

What mistakes should I watch for when students complete this equations worksheet?

Watch for students choosing the wrong inverse operation, applying multiplication or division before addressing the additive term, or selecting a property that does not match the step shown. In the fill-in-the-blank items, students may lose negative signs, mishandle division by a coefficient, or fail to account for a fractional coefficient, as in (4/3)x - 5 = 3. The multiple-select question also requires students to select both applicable properties rather than only one.

How do I assign and grade this One and Two Step Equations worksheet?

Wayground provides this worksheet as a printable PDF and as a digital quiz, with a complete answer key for all 16 questions. You can grade printable submissions by scanning student work with the Wayground for Teachers app, or review responses through the digital quiz. The printable format can also support schools working to reduce screen time.

How can I differentiate this one- and two-step equations worksheet?

Use the worksheet’s Advanced Settings to adjust font spacing or increase the font size so equation symbols, negative signs, and fractional coefficients are easier to read. You can also apply a dyslexia-friendly font or translate the worksheet into another language while keeping its multiple-choice, multiple-select, and fill-in-the-blank equation practice.

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. Teachers can browse downloadable PDFs with answer keys at https://wayground.com/en-us/worksheets to find resources that help students master essential skills and concepts.