A farmer buys a horse for $60. He sells it to his neighbor for ......Combining Like Terms and...
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Combining Like Terms and Expressions (1).notebook 1 October 12, 2015 A farmer buys a horse for $60. He sells it to his neighbor for $70. Then he discovers he could have made a better deal. He borrows $10 from his wife, and buys the horse back for $80. He then sells it to another neighbor for $90. How much money did he make?
Transcript of A farmer buys a horse for $60. He sells it to his neighbor for ......Combining Like Terms and...
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Combining Like Terms and Expressions (1).notebook
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October 12, 2015
A farmer buys a horse for $60. He sells it to his neighbor for $70. Then he discovers he could have made a better deal. He borrows $10 from his wife, and buys the horse back for $80. He then sells it to another neighbor for $90. How much money did he make?
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Combining Like Terms and Expressions (1).notebook
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October 12, 2015
Constant12 ..... 6......35A term that has no variables
Review!
Coefficient
14y.....9x....3x2
The number in front of a variable. This number tells us how many of each that we have
Variable Any letter or symbol representing a unknown number
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Combining Like Terms and Expressions (1).notebook
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October 12, 2015
Are Any of These Like Terms?
5x and 7x 6 and 9
3a and 3b 5x2 and 9x26ab and 9ab
4ab2 and ab2 5a2c and 3ac2
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October 12, 2015
x12
x2y2x2
xy2
3xy2x
3x2
4x
5x2xy2
x2y2
Match The Like Terms
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October 12, 2015
What are Like Terms?
Like Terms are expressions that have the same variable part with the same exponent.
When combining like terms, we only add the coefficients.
Examples: 3x + 4x =
x2 + 3x2 =
7b 9b =
How Do We Combine Like Terms?
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Helpful Steps to Combining Like Terms
1. Clear any parentheses in the equation or expression
2. Place shapes around each like term ﴾include the sign in front﴿
3. Combine shapes of like terms
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Combining Like Terms
1. 8a + 5a
2. 4m 9m
3. 13b + 2b + 5 + 3y
4. 2x + 4 + 2(3x)
5. 6y + 4m 7y + m
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October 12, 2015
Combining Like Terms
7. 3x2 + 6y + 7y 3x26. 3x + 2y 2x + 5y
8. 3x + 5x 2y + 5x
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October 12, 2015
9. 4a2 3b2 + 4b + 10a2
10. 3x3 5 + 3x 4 2x2 + x
Combining Like Terms
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11. 7x2 10 – 2x2 + 5
12. y y2 2y + 1 y2
Combining Like Terms
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13. x2 xy + y2 + xy + 3y2
14. x3 + xy3 + x3y
Combining Like Terms
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15. 2ab + 3a 2b + ab2 + ab
16. c c3 c2 + 3 + c3 + 2c2
Combining Like Terms
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Attachments
Simplify_Expressions.pdf
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Teacher Notes
© 2009 SMART Technologies ULC
Lesson Objectives & Teacher Notes
Lesson Title Simplifying Algebraic Expressions
Subject Mathematics Grade 7/8 Strand Algebra
Objective The objective of this lesson is to simplify algebraic expressions by combining like terms.
Page 1 Title page.
Page 2 An algebraic expression is made up of algebraic terms. An algebraic term can contain variables, coefficients and constants. Like terms are terms which contain the same variables raised to the same power. Click for a hint to reveal the variables. “What do we mean by simplifying expressions?” (Writing the expression in its most compact form.) This usually involves combining like terms. Ask a student volunteer to simplify the expression and write the answer in the box. Scroll down the screen shade to reveal the answer.
Page 3 Identify the like terms by dragging the jigsaw pieces together. Remind students that ‘like terms’ means the variable has to be raised to the same power. x and x2 are not like terms.
Page 4 Solution to previous page.
Page 5 Practice simplifying algebraic expressions. Use the Pen Tool to fill in the blanks. The first problem has been partially completed. Drag answers from the side of the screen.
Page 6 Further practice.
Page 7 Simplify algebraic expressions by combining like terms. In these examples the algebraic expressions contain more than one variable. Use the commutative property to group the like terms together and then simplify. The terms can be dragged to illustrate this.
Page 8 Practice simplifying algebraic expressions. The terms can be dragged to group the like terms together.
Page 9 First use the distributive property to remove the parentheses. Then simplify as before. Click on the number buttons on the side of the page to reveal the steps.
Page 10 Simplify the algebraic expressions using the distributive and commutative properties. In the last example remind students that when there is a minus before the parentheses, when the parentheses are removed the sign inside the parentheses changes to the opposite sign.
SMART Notebook
Page 1: Nov 12-10:16 AMPage 2: Nov 12-10:16 AMPage 3: Page 2Page 4: Page 3Page 5: Page 2Page 6: Page 2Page 7: Page 2Page 8: Page 8Page 9: Nov 30-9:08 PMPage 10: Nov 30-9:08 PMPage 11: Nov 30-9:08 PMPage 12: Nov 30-9:08 PMPage 13: Jul 12-11:24 PMAttachments Page 1
