Algebra 1 Common Core Student Edition, Grade 8-9

Concept Byte

Use W ith Lesson 3 -4

Modeling Multi-Step

Inequalities

@ Common Core State Standards

Prepares for A-REI.B.3 Solve linear equations and

inequalities in one variable, including equations w ith

coefficients represented by letters.

MP 7

S om etim es y o u n e e d to p e rfo rm tw o o r m o re step s to solve a n in eq u ality. M odels

ca n h e lp you u n d e r s ta n d h o w to solve m u lti-s te p in eq u alities.

iCtir

M odel a n d solve 2x — 3 < 1.

Inequality

2x - 3 < 1

2x-3 + 3 < l + 3

2x < 4

2x ^ 4

2 2

Model

R J I J J

■ ...I <

R'U I

R— I J J

■HR < J j

I

J J

x< 2 <

Think

The tiles m odel the inequality.

A dd 3 y e llo w tile s to each side.

Simplify by removing the zero pairs.

Divide each side into tw o equal groups.

Each green tile is less th a n tw o y e llo w

tiles, so x < 2.

Ex e r c i se s

W rite a n in e q u a lity fo r e a c h m o d el. Use tiles to solve e a c h inequality,

1 2. J J | H R !m j

J J Ri J

J J

Use tiles to m o d e l a n d solve e a c h in eq u ality.

3. 2n - 5 > 3 4. -9 > 4x - 1


4. z + 6 < 2z + 2 7. 3m + 7 > m - 5
   5. 3w + 4 < —5


5. 5b + 6 > 3b - 2

Po w erAlg eb ra.com Co n cep t By t e Modeling Multi-Step Inequalities 185