Absolute Value Equations, Functions, and Inequalities

A Grade 11 math worksheet covering absolute value equations, functions, and inequalities with various question types.

Grade 11 Math AlgebraAbsolute Value Equations Functions and Inequalities

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Includes

2 Short AnswerMultiple ChoiceLong AnswerFill in the BlanksTrue / False

Standards

CCSS.MATH.CONTENT.HSA.CED.A.1CCSS.MATH.CONTENT.HSA.REI.B.3CCSS.MATH.CONTENT.HSF.IF.C.7.B

Topics

AlgebraAbsolute ValueEquationsFunctionsInequalitiesGrade 11

8 sections · Free to use · Printable

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

1. Solve for x: |2x - 3| = 7

2. Find the solutions to the equation: |x/3 + 2| - 1 = 4

3. Which of the following graphs represents the function f(x) = |x - 2| + 1?

A V-shape opening upwards with vertex at (2, 1)

A V-shape opening upwards with vertex at (-2, 1)

A V-shape opening downwards with vertex at (2, 1)

A V-shape opening downwards with vertex at (-2, 1)

4. Graph the function g(x) = -|x + 1| + 3. Clearly label the vertex and at least two other points.

5. Solve the inequality: |3x + 6| < 9

6. Solve and graph the solution set on a number line: |-2x + 4| ≥ 6

7. The absolute value of a number represents its from zero on a number line.

8. When solving an absolute value inequality of the form |ax + b| < c, the solution is typically written as a inequality.

9. The equation |x| = -5 has no real solutions.

True

False

10. The graph of an absolute value function always has a vertex.

True

False