Essential Vocabulary for Combining Like Terms in Algebra
Explore key terms such as variables, constants, exponents, operations, coefficients, and more in algebraic expressions. Learn to identify and combine like terms efficiently through clear explanations and visual examples. Enhance your understanding of algebra with this comprehensive vocabulary lesson created by Simone.
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Select a Lesson Vocabulary Combining Like Terms Vocabulary Combining Like Terms Teacher Information Teacher Information Created by Simone http://www.teacherspayteachers.com/Store/Simone
1 x Variable: A letter that represents an unknown number.
2 8 Constant: A number.
3 x2 Exponent: A number written above and to the right of a base number. The exponent shows how many times to use the base number in repeated multiplication. For example, 52 is 5 x 5.
4 Operations: addition, subtraction, multiplication, and division
5 5x + y + 8 x2 Expression: A mix of variables, constants, exponents, and operations. Expressions do not have equal signs.
6 5x + y + 8 x2 Term: A small part of the expression. Each term is separated by + or
7 Like terms have the same variable and exponent. n2 and 7n2 5x and 10x 12 and 17
8 5x + y + 8 Coefficient: A number multiplied by a variable. 5 is the coefficient in front of x 1 is the coefficient in front of y
9 Click the correct word for the red item. 2x + 3 + x2 constant term exponent
10 Click the correct word for the red item. n 5n + 3 + m3 constant variable coefficient
11 Click the correct word for the red item. 8 + m3 coefficient exponent constant
12 Click the correct word for the red item. b2 b + 9 + 7n variable exponent expression
13 Click the correct word for the red item. 10 + n3 term exponent variable
14 Write a word to describe the red item. 9y2 + 8n 3 coefficient Answer
15 Write a word to describe the red item. term Answer x2 + 8 2n
16 Write a word to describe the red item. 15 + 3x2 + y exponent Answer
17 Write a word to describe the red item. constant or term Answer y + 4n 12
18 Write a word to describe the red item. variable Answer 6n2 + 11n +14
Review Like terms have the same variable and exponent. ? ? n2 and 7n2 5x and 10x 12 and 17
19 Are these like terms? 5n and n5 No, they do not have the same exponent. answer
20 Are these like terms? 3b and 8b Yes, they have the same variable and exponent. answer
21 Are these like terms? 7x2 and 8x2 Yes, they have the same variable and exponent. answer
22 Are these like terms? 6 and 15 Yes, they are both constants. answer
23 Are these like terms? 8x and 8y No, they do not have the same variable. answer
24 Are these like terms? n3 and n7 No, they do not have the same exponent. answer
25 Draw shapes to identify like terms Answer x + 3x + x2
26 Draw shapes to identify like terms Answer 5 10x + 12 + 10
27 Draw shapes to identify like terms Answer 15 8x2 + 8y + x2
28 Draw shapes to identify like terms Answer y 3y2 + 8y + y2
29 Draw shapes to identify like terms Answer 5n+ 3x2 8n + 5y + 7x2
30 Draw shapes to identify like terms Answer 18 2x 2y 8x2 + 8x + 10
31 Click each step to learn how to combine like terms. Step 1: Identify like terms 2x +10 + 3x Step 2: Add or subtract the coefficients 2x + 3x 5x Step 3: 5x +10 Bring down unlike terms
32 Combine like terms. 8x2 + 5n 25 5x2 8x2 5x2 3x2 + 5n 25 3x2 + 5n 25 Answer
33 Combine like terms. 3n2 8y + 15 + 3 3n2 8y 15 + 3 18 Answer 3n2 8y + 18
34 Combine like terms. 7n + x2 + 8n 2x 7n + 8n 15n + x2 2x 15n + x2 2x Answer
35 Combine like terms. 14y + y + 17 8y + 17 14y + y 8y 7y 7y + 17 Answer
36 Combine like terms. 45 + 7n3 + 9y 25 6n3 7n3 6n3 n3 + 9y 45 25 20 20 + n3 + 9y Answer
37 Combine like terms. 3x2 + 9y +7x2 y 20 3x2 + 7x2 10x2 9y y 8y 20 10x2 +8y 20 Answer
38 Combine like terms. n2 + 3 +12n 4n + 4 + 5n2 n2 + 5n2 6n2 3 + 4 7 12n 4n 8n 6n2 + 7 + 8n Answer
39 Combine like terms. 20 + y + y + y2 + 5 + 5y2 y2 + 5y2 6y2 20 + 5 25 y + y 2y 25 + 2y +6y2 Answer
The student packet is broken up into two lessons. pages 1-2 vocabulary pages 3-4 combining like terms. The PPT guides students through the lessons by giving them information and providing practice. Some slides ask the student to write something down and the answer will appear once the answer button is clicked. Some slides have multiple choices and the correct answer will be highlighted once clicked. There are many ways to use this product teaching new material whole class review independent practice centers students watch PPT and follow along with the student packet. students complete the packet first and then self correct with the PPT. Created by Simone http://www.teacherspayteachers.com/Store/Simone
Common Core State Standards covered in this lesson. 6.EE.3Apply the properties of operations to generate equivalent expressions. For example, apply the distributive property to the expression 3(2 + x) to produce the equivalent expression 6 + 3x; apply the distributive property to the expression 24x + 18y to produce the equivalent expression 6(4x + 3y); apply properties of operations to y + y + y to produce the equivalent expression 3y. (This activity covers combining like terms which is the part that I highlighted)
