Inequalities and Systems of Equations

Grade 8 math worksheet covering solving and graphing linear inequalities and systems of linear equations.

Grade 8 Math AlgebraInequalities and System of Equations

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Includes

3 Short AnswerMultiple ChoiceFill in the BlanksTrue / False

Standards

CCSS.MATH.CONTENT.8.EE.C.7CCSS.MATH.CONTENT.8.EE.C.8

Topics

mathalgebrainequalitiessystems of equationsgrade 8

8 sections · Free to use · Printable

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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 the number line.

4x - 7 < 9

2. Solve the inequality: -2x + 5 ≥ 15

1. Which of the following is a solution to the inequality 3x + 1 > 10?

x = 2

x = 3

x = 4

x = 1

1. A system of equations with no solution is called an system.

2. When solving a system of equations by graphing, the solution is the point of of the lines.

1. Solve the following system of equations by substitution:

y = 2x + 1

3x + y = 11

2. Solve the following system of equations by elimination:

x + y = 7

x - y = 3

1. A system of two linear equations can have exactly two solutions.

True

False

2. If two lines in a system of equations are parallel, then the system has no solution.

True

False

1. Graph the following system of equations and identify the solution:

y = x + 2

y = -2x + 5

Solution: