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

OK

A coefficient is the number part of a term that includes a variable. Example: 2x 2 is the coefficient x is the variable.

A coefficient is the number part of a term that includes a variable. Example: 2x 2 is the coefficient x is the variable.

© 2018 SlidePlayer.com Inc.

All rights reserved.

To ensure the functioning of the site, we use **cookies**. We share information about your activities on the site with our partners and Google partners: social networks and companies engaged in advertising and web analytics. For more information, see the Privacy Policy and Google Privacy & Terms.
Your consent to our cookies if you continue to use this website.

Ads by Google

Ppt on msme in india Ppt on world diabetes day images Ppt on prepositions for grade 5 Ppt on word association test experiment Ppt on van de graaff generator experiments Ppt on social contract theory example Ppt on principles of object-oriented programming php Ppt on diode as rectifier transformer Ppt on bbc news channel Ppt on tribal group of india