7th Grade Math Expressions & Equations

Setting the PowerPoint View Use Normal View for the Interactive Elements To use the interactive elements in this presentation, do not select the Slide Show view. Instead, select Normal view and follow these steps to set the view as large as possible: On the View menu, select Normal. Close the Slides tab on the left. In the upper right corner next to the Help button, click the ^ to minimize the ribbon at the top of the screen. On the View menu, confirm that Ruler is deselected. On the View tab, click Fit to Window. On the View tab, click Slide Master | Page Setup. Select On-screen Show (4:3) under Slide sized for and click Close Master View. On the Slide Show menu, confirm that Resolution is set to 1024x768. Use Slide Show View to Administer Assessment Items To administer the numbered assessment items in this presentation, use the Slide Show view. (See Slide 10 for an example.)

Table of Contents Inverse Operations One Step Equations Two Step Equations Multi-Step Equations Distributing Fractions in Equations Graphing & Writing Inequalities with One Variable The Distributive Property and Factoring Combining Like Terms Simple Inequalities involving Addition & Subtraction Simple Inequalities involving Multiplication & Division Common Core Standards: 7.EE.1, 7.EE.3, 7.EE.4 Simplifying Algebraic Expressions Translating Between Words and Equations Commutative and Associative Properties Using Numerical and Algebraic Expressions and Equations

Commutative and Associative Properties Day 1

The Associative Property is particularly useful when you are combining integers. Example: (-4)= (-4) + 9=Changing it this way allows for the = negatives to be added together first. -10

1Identify the property of = 3 + (-5) ACommutative Property of Addition BCommutative Property of Multiplication CAssociative Property of Addition DAssociative Property of Multiplication

2Identify the property of a + (b + c) = (a + c) + b ACommutative Property of Addition BCommutative Property of Multiplication CAssociative Property of Addition DAssociative Property of Multiplication

3Identify the property of (3 x -4) x 8 = 3 x (-4 x 8) ACommutative Property of Addition BCommutative Property of Multiplication CAssociative Property of Addition DAsociative Property of Multiplication

Discuss why using the associative property would be useful with the following problems: (-4) x 3 x x 7 x (-6)

Combining Like Terms

2x22x2 2x22x2 Coefficient Exponent Variable

Examples: LIKE TERMS NOT LIKE TERMS 6x and 2x 6x 2 and 2x 5y and 8y 5x and 8y 4x 2 and 7x 2 4x 2 y and 7xy 2

2t 3y 2 7t k 4z x 2 5a 4.5y 2

4 Identify all of the terms like 2x A5x B3x 2 C5y D12y E2

5 Identify all of the terms like 8y A9y B4y 2 C7y D8 E-18x

6 Identify all of the terms like 8xy A8x B3x 2 y C39xy D4y E-8xy

7 Identify all of the terms like 2y A51w B2x C3y D2w E-10y

8 Identify all of the terms like 14x 2 A-5x B8x 2 C13y 2 Dx E-x 2

If two or more like terms are being added or subtracted, they can be combined.

-5x 3 + 3y + 7x 3 - 2y – 4x 2 -5x 3 +3y +7x 3 -2y -4x 2 12x 3 + y – 4x 2

Try These: 1.) 2b +6g(3) + 4f + 9f 2.) 9j h h ) 7a a c c 4.) 8x + 56xy + 5y

98x + 3x = 11x A True B False

107x + 7y = 14xy A True B False

11 2x + 3x = 5x A True B False

12 9x + 5y = 14xy A True B False

13 6x + 2x = 8x 2 A True B False

14 -15y + 7y = -8y A True B False

y + 8 = 2y A True B False

16 -7y + 9y = 2y A True B False

179x x = A15x B11x + 4 C13x + 2x D9x + 6x

1812x + 3x A15x B13x C17x D15x + 2

19-4x x - 14 A-22x B-2x - 20 C-6x +20 D22x