Equations & Inequalities - Mixed Review (A) - Complete Each Section

Q: How are the word problems in Section 3 handled?

Students write an appropriate equation or inequality from the situation, then solve for the unknown and record the solution.

Sep 23, 2026

Uploaded by Mia

Mixed Review (A) worksheet for solving equations and inequalities. Students complete Section 1 by solving multiple linear equations for variables such as x, n, y, m, and a. Section 2 requires solving inequalities involving greater than, less than, and inclusive comparisons. Section 3 focuses on writing and solving equations or inequalities from word problems about peaches, eggs, daily earnings, advancing in a game, coins, pears, and campers, followed by an answer key with final values.

LanguageEnglish

CategoryExam

FormatPDF

Pages3

Reading Time8 min

AccessFree to download

Section 1—Solve Each Equation

Section 2—Solve Each Inequality

Section 3—Write and Solve

Word Problems

ANSWER KEY

Name: Equations & Inequalities—Mixed Review (A) Directions: Complete each section. Show your work. Section 1—Solve Each Equation 1. x + 14 = 33 x = 4. m ÷ 6 = 8 m = 2. n − 9 = 27 n = 5. 28 = 4a a = 3. 5y = 45 y = 6. x + 37 = 80 x = Section 2—Solve Each Inequality 7. x + 5 > 12 x > 9. 3y ≥ 24 y ≥ 8. n − 4 ≤ 15 n ≤ 10. m ÷ 4 < 6 m < Section 3—Write and Solve 11. A vendor has some peaches. After selling 18, he has 32 left. How many did she start with? Equation / Inequality: Solution: ____________________ 12. A farmer packs eggs into cartons of 12. He has 96 eggs total. How many cartons? Equation / Inequality: Solution: Mashup Math LLC | Al[l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com](l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com) 13. A vendor needs at least $150 per day. She earns $6 per item. Write an inequality for items n. Equation / Inequality: Solution: 14. A gamer must score more than 40 points to advance. She has 27 and earns p more. Write an inequality. Equation / Inequality: Solution: ____________________ Word Problems 15. A gamer earns 8 coins per room. After r rooms she has 72 coins. Write and solve an equation for r. Equation / Inequality: Solution: 16. A market stall had some pears. After a delivery of 45, there are 118 pears. How many before? Equation / Inequality: Solution: ____________________ 17. A camp needs at most 60 campers per activity. Already 38 signed up. Write an inequality for additional campers a. Equation / Inequality: Solution: Mashup Math LLC | Al[l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com](l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com) ANSWER KEY Section 1: Solve Each Equation 1.) x + 14 = 33 → x = 19 (33−14=19) 2.) n − 9 = 27 → n = 36 (27+9=36) 3.) 5y = 45 → y = 9 (45÷5=9) 4.) m ÷ 6 = 8 → m = 48 (8×6=48) 5.) 28 = 4a → a = 7 (28÷4=7) 6.) x + 37 = 80 → x = 43 (80−37=43) Section 2: Solve Each Inequality 7.) x + 5 > 12 → x > 7 (12−5=7) 8.) n − 4 ≤ 15 → n ≤ 19 (15+4=19) 9.) 3y ≥ 24 → y ≥ 8 (24÷3=8) 10.) m ÷ 4 < 6 → m < 24 (6×4=24) Section 3: Write and Solve 11.) 1. ) x − 18 = 32 → x = 50 (32+18=50) 12.) 2. ) 12c = 96 → c = 8 (96÷12=8) 13.) 3. ) 6n ≥ 150 → n ≥ 25 (150÷6=25) 14.) 4. ) 27 + p > 40 → p > 13 (40−27=13) Word Problems 1. Eq: 8r = 72 → Sol: r = 9 (72÷8=9) 2. Eq: p + 45 = 118 → Sol: p = 73 (118−45=73) 3. Eq: 38 + a ≤ 60 → Sol: a ≤ 22 (60−38=22) Mashup Math LLC | Al[l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com](l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com)

FAQs

What should students do for Section 1?

Solve each equation and show the work, writing the value of the variable (e.g., x, n, y, m, a).

What types of problems are included in Section 2?

Inequalities using symbols like >, <, ≥, and ≤, where students determine the range of the variable.

How are the word problems in Section 3 handled?

Students write an appropriate equation or inequality from the situation, then solve for the unknown and record the solution.

Sep 23, 2026

Uploaded by Mia

Equations & Inequalities - Mixed Review (A) - Complete Each Section_Page 1

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