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Solving Inequalities

Authored by Amanda Stark

Mathematics

8th - 9th Grade

CCSS covered

Solving Inequalities
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This quiz focuses on solving linear inequalities, a fundamental algebraic concept appropriate for 8th and 9th grade mathematics. Students encounter one-step, two-step, and multi-step inequalities requiring them to apply inverse operations while maintaining proper inequality direction. The problems assess critical skills including isolating variables through addition, subtraction, multiplication, and division, understanding when to reverse inequality symbols (specifically when multiplying or dividing by negative numbers), and translating between symbolic notation and verbal descriptions. Students must demonstrate mastery of inequality symbols and their meanings, apply the distributive property when inequalities involve parentheses, and understand the graphical representation of solutions using open and closed dots on number lines. The quiz progresses from basic symbol recognition to complex multi-step problems involving variables on both sides, requiring students to combine like terms and apply multiple algebraic operations systematically. This quiz was created by a classroom teacher who designed it for students studying solving inequalities in grades 8-9. The assessment serves multiple instructional purposes, functioning effectively as a diagnostic tool to identify student misconceptions about inequality symbols and solution processes, or as formative assessment during direct instruction on algebraic inequalities. Teachers can implement this quiz as a warm-up activity to activate prior knowledge, assign it for independent practice to reinforce classroom learning, or use it as homework to extend student engagement with inequality concepts. The variety of question types, from computational problems to conceptual understanding of graphing conventions, makes it valuable for review sessions before unit assessments. This quiz aligns with standards 8.EE.B.7 (solving linear equations and inequalities in one variable) and A-REI.B.3 (solving linear equations and inequalities in one variable, including equations with coefficients represented by letters), supporting teachers in meeting essential algebra readiness and formal algebra course objectives.

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20 questions

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1.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Media Image

x > 1
1 ≥ x
x is greater than or equal to 1
x is less than or equal to 1

Tags

CCSS.6.EE.B.8

2.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

8x ≥ -32

x ≥ -4
x ≥ 4
x ≤ -4
x ≥ 4

Tags

CCSS.6.EE.B.8

3.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

s + 9 ≥ -25

s ≥ -18
s ≥ -34
s ≤ 18
s ≥ 34

Tags

CCSS.7.EE.B.4B

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

4x - 2 ≤ -22

x ≥ -5
x ≥ -6
x ≤ -6
x ≤ -5

Tags

CCSS.7.EE.B.4B

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

7b - 3 < 11

b < 2
84 > b
b > 2
b < 84

Tags

CCSS.7.EE.B.4B

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

6 - 2h > 30

h < 24
18 > h
h > 12
h < -12

Tags

CCSS.7.EE.B.4B

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Pick the correct inequality.

A
B
C
D

Tags

CCSS.6.EE.B.8

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