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Grade 9 Algebra: Inequalities and System of Equations

This worksheet covers solving linear inequalities, graphing inequalities, and solving systems of linear equations using various methods.

Grade 9 Math AlgebraInequalities and System of Equations
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3 Short AnswerMultiple ChoiceFill in the Blanks

Standards

CCSS.MATH.CONTENT.HSA.CED.A.3CCSS.MATH.CONTENT.HSA.REI.B.3CCSS.MATH.CONTENT.HSA.REI.D.12

Topics

AlgebraInequalitiesSystems of EquationsGrade 9Math
7 sections · Free to use · Printable
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Grade 9 Algebra: Inequalities and System of Equations

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Read each question carefully and answer to the best of your ability. Show all your work for full credit.

1. Solve the inequality and graph the solution on a number line: 3x - 5 < 10

03691215

2. Solve the inequality: -2x + 7 ≥ 21

3. Which graph represents the inequality y > 2x - 1?

a
-5-4-3-2-112345-5-4-3-2-112345
b
-5-4-3-2-112345-5-4-3-2-112345
c
-5-4-3-2-112345-5-4-3-2-112345
d
-5-4-3-2-112345-5-4-3-2-112345

4. Solve the following system of equations using the substitution method:

y = 2x + 3 4x + y = 15

5. Solve the following system of equations using the elimination method:

3x + 2y = 7 -3x + 4y = 5

6. An   is a mathematical statement that compares two expressions using an inequality symbol.

7. A   is a set of two or more linear equations that share a common solution.