Download presentation

1
**Algebra 1 Glencoe McGraw-Hill JoAnn Evans**

Math 8H The Distributive Property And Combining Like Terms (Day 2) Algebra Glencoe McGraw-Hill JoAnn Evans

2
Remember -- Like terms are terms that have the same variables raised to the same powers. In a term that is the product of a number and a variable, the number is the coefficient of the variable. Like terms can be combined by adding or subtracting their coefficients.

3
**= -x + -2y + -z Add the opposite first.**

Terms are separated by addition signs. To determine the terms of a variable expression, you must first change all subtractions to “add the opposite”. 4x2 + 3x Three terms: 4x2, 3x, and 9 -x – 2y – z = -x + -2y + -z Add the opposite first. Three terms: -x, -2y, and –z -y – 3r = -y + -3r Two terms: -y and -3r

4
Simplify by using the distributive property and then combining like terms. Next, evaluate by substituting in the given value for the variable. 19 – 4x(y – 6) + 5y when y = 2 and x = 3 = x(y + -6) + 5y = xy + 24x + 5y = (3)(2) + 24(3) + 5(2) = = 77

5
**3x(x – 9) + 4(y + 7) when x = 2 and y = -3 = 3x(x + -9) + 4(y + 7) **

Simplify by using the distributive property and then combining like terms. Next, evaluate by substituting in the given value for the variable. 3x(x – 9) + 4(y + 7) when x = 2 and y = -3 = 3x(x + -9) + 4(y + 7) = 3x x + 4y + 28 = 3(2) (2) + 4(-3) = 3(4) (-12) + 28 = = = -26

6
**Remember about negatives that appear in front of parentheses!!**

There is an “invisible 1” outside the parentheses. x - (2x + 3) = x – 1(2x + 3) It’s there. Really! = x + -1(2x + 3) Add the opposite. = x + -2x Distribute. = -1x Combine like terms. = -x – Simplify.

7
**Distributing a Fraction:**

To multiply by ⅛, divide by 8. ⅛(16x + 40) = ⅛(16x) + ⅛(40) = 2x + 5 -¼(12y2 – 16) = -¼(12y ) = -¼(12y2) + ( -¼)(-16) = -3y2 + 4 To multiply by – ¼ , divide by -4.

8
**How can you tell if a variable expression is simplified?**

It must pass three tests: 1. There are no more parentheses or other grouping symbols left in the expression. 2. There are no like terms that haven’t been combined. 3. There are no “double signs”.

Similar presentations

© 2021 SlidePlayer.com Inc.

All rights reserved.

To make this website work, we log user data and share it with processors. To use this website, you must agree to our Privacy Policy, including cookie policy.

Ads by Google