Solving Two-Step Linear Inequalities

Solving Two-Step Linear Inequalities

Assessment

Flashcard

Mathematics

6th Grade

Practice Problem

Hard

CCSS
6.EE.B.8, HSA.REI.D.12, 7.EE.B.4B

+1

Standards-aligned

Created by

Wayground Content

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15 questions

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1.

FLASHCARD QUESTION

Front

What is a two-step linear inequality?

Back

A two-step linear inequality is an inequality that requires two operations to isolate the variable. It typically takes the form of ax + b < c, ax + b > c, ax + b ≤ c, or ax + b ≥ c.

2.

FLASHCARD QUESTION

Front

How do you solve a two-step linear inequality?

Back

To solve a two-step linear inequality, perform the following steps: 1) Use addition or subtraction to move the constant term to the other side of the inequality. 2) Use multiplication or division to isolate the variable. Remember to reverse the inequality sign if you multiply or divide by a negative number.

Tags

CCSS.6.EE.B.8

3.

FLASHCARD QUESTION

Front

What does it mean to reverse the inequality sign?

Back

Reversing the inequality sign means changing the direction of the inequality. For example, if you have x < 5 and you multiply both sides by -1, it becomes -x > -5.

Tags

CCSS.6.EE.B.8

4.

FLASHCARD QUESTION

Front

What is the difference between < and ≤?

Back

The symbol < means 'less than' and does not include the value, while ≤ means 'less than or equal to' and includes the value.

Tags

CCSS.6.EE.B.8

5.

FLASHCARD QUESTION

Front

What is the solution set of an inequality?

Back

The solution set of an inequality is the set of all values that satisfy the inequality. It can be represented on a number line or in interval notation.

Tags

CCSS.6.EE.B.8

6.

FLASHCARD QUESTION

Front

How do you graph a two-step linear inequality?

Back

To graph a two-step linear inequality, first graph the corresponding equation as a line. Use a solid line for ≤ or ≥ and a dashed line for < or >. Then shade the region that represents the solution set.

Tags

CCSS.HSA.REI.D.12

7.

FLASHCARD QUESTION

Front

What is an example of a two-step linear inequality?

Back

An example of a two-step linear inequality is 2x + 3 < 7.

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