Algebra II: Inequalities and Systems of Equations

This worksheet covers solving linear and quadratic inequalities, systems of linear equations, and systems of linear and quadratic equations, including graphical solutions.

Grade 11 Math AlgebraInequalities and System of Equations

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Includes

3 Short AnswerFill in the BlanksMultiple Choice

Standards

CCSS.MATH.CONTENT.HSA.CED.A.3CCSS.MATH.CONTENT.HSA.REI.C.6CCSS.MATH.CONTENT.HSA.REI.D.11

Topics

AlgebraInequalitiesSystems of EquationsGrade 11

7 sections · Free to use · Printable

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Algebra II: Inequalities and Systems of Equations

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Read each question carefully and provide your answer in the space provided. Show all your work for full credit.

1. Solve the inequality and graph the solution set on a number line: 3(x - 2) + 5 ≤ 2x + 7

2. The solution set for the inequality x² - 5x + 6 > 0 is .

3. For the inequality 2x² + 7x - 4 ≤ 0, the interval notation for the solution is .

4. Solve the following system of equations by substitution or elimination:

2x + y = 10

3x - 2y = 1

5. Which of the following graphs represents the solution to the system: y = x + 3 y = -2x + 0

6. Find the points of intersection for the system:

y = x² - 4x + 3

y = x - 1

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