Lesson 3.01 Expanding and Simplifying Equations

Module 3 Review Video Guide Notes

Lesson 3.01 Expanding and Simplifying Equations.

WORD / DEFINITION
Like Terms / Terms that have the ______variable with equal powers such as 3y and 4y.
Coefficient / The ______part of a term with variables (ex. 3y has a coefficient of ____).
Constant / Term in an algebraic expression that contains only ______(ex. In the expression 5y + 6, ____ is a constant).
Factoring / Taking a number or expression ______and writing it as a product of two or
more ______.
Congruent / ______measure; the sides of a square are congruent because they are all the same length.

Examples:

2y + 3y + 4y + 5y2 + 6x + 7

Like terms:
Variable terms:
Variables:
Coefficients:
Constant terms:

Write an expression that is equivalent to 3x + 39 by factoring out 3.

Write an expression equivalent to 3x + 24

Write an expression equivalent to 4x − 18

Solve ¼ x + 8 by factoring. (Remember KFC when dividing fractions)

Write an expression equivalent to 1/5 x + 10.

Write an expression equivalent to ½ x + 6

WORD PROBLEM WORKSPACE: Show your steps for the given word problems in space below.

Lesson 3.02: Applications and Expressions

WORD PROBLEM WORKSPACE: Show your steps for the given word problems in space below.

Lesson 3.04: Equations

Algebraic Equation: An equation that include one or more ______.

Riddle 1 / Riddle 2 / Riddle 3 / Riddle 4

Examples:

A + 2 = 17 3b =15 3x + 2 = 17

Butterfly Garden: How wide will the garden be? (perimeter: distance around the object)

(-4/3)x – 6 = -26

WORD PROBLEM WORKSPACE: Show your steps for the given word problems in space below.

Lesson 3.05 Inequalities

WORD PROBLEM WORKSPACE: Show your steps for the given word problems in space below.

Chris / Tim

When multiplying or dividing by a ______number on both sides of an inequality, reverse the direction of the inequality symbol.

WORD PROBLEM WORKSPACE: Show your steps for the given word problems in space below.

Jamie / Abigail

When graphing an inequality:

use a ______dot for the symbols ≤ and ≥

use an ______dot for the symbols < and >

Janice / Leon / Cassidy

Essay Strategies

WORD PROBLEM WORKSPACE: Show your steps for the given word problems in space below.