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Five-Minute Check (over Chapter 7)
Main Idea and Vocabulary
Example 1:
Write Expressions With Addition
Example 2:
Write Expressions With Addition
Example 3:
Write Expressions with Subtraction
Example 4:
Write Expressions with Subtraction
Example 5:
Identify Parts of an Expression
Example 6:
Simplify Algebraic Expressions
Example 7:
Simplify Algebraic Expressions
Example 8:
Real-World Example
• Use the Distributive Property to simplify algebraic
expressions.
• equivalent expressions
• constant
• term
• simplest form
• coefficient
• simplifying the
expression
• like terms
Write Expressions With Addition
Use the Distributive Property to rewrite 3(x + 5).
3(x + 5) = 3(x) + 3(5)
= 3x + 15
Answer: 3x + 15
Simplify.
Use the Distributive Property to rewrite 2(x + 6).
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2.
3.
4.
A
B
C
D
Write Expressions With Addition
Use the Distributive Property to rewrite (a + 4)7.
(a + 4)7 = a ● 7 + 4 ●7
= 7a + 28
Answer: 7a + 28
Simplify.
Use the Distributive Property to rewrite (a + 6)3.
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2.
3.
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A
B
C
D
Write Expressions With Subtraction
Use the Distributive Property to rewrite (q – 3)9.
(q – 3)9 = [q + (–3)]9
Rewrite q – 3 as q + (–3).
= (q)9 + (–3)9
Distributive Property
= 9q + (–27)
Simplify.
= 9q – 27
Definition of subtraction
Answer: 9q – 27
Use the Distributive Property to rewrite (q – 2)8.
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2.
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A
B
C
D
Write Expressions With Subtraction
Use the Distributive Property to rewrite –3(z – 7).
–3(z – 7) = –3[z + (–7)]
Rewrite z – 7 as z + (–7).
= –3(z) + (–3)(–7) Distributive Property
= –3z + 21
Answer: –3z + 21
Simplify.
Use the Distributive Property to rewrite –2(z – 4).
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2.
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A
B
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Identify Parts of an Expression
Identify the terms, like terms, coefficients, and
constants in 3x – 5 + 2x – x.
3x – 5 + 2x – x = 3x + (–5) + 2x + (–x)
Definition of
subtraction
= 3x + (–5) + 2x + (–1x) Identity
Property;
–x = –1x
Answer: The terms are 3x, –5, 2x, and –x.
The like terms are 3x, 2x, and –x.
The coefficients are 3, 2, and –1.
The constant is –5.
Identify the terms, like terms, coefficients, and
constants in 6x – 2 + x – 4x.
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2.
3.
4.
A
B
C
D
Simplify Algebraic Expressions
Simplify the expression 6n – n.
6n – n are like terms.
6n – n = 6n – 1n
Identity Property; n = 1n
= (6 – 1)n
Distributive Property
= 5n
Simplify.
Answer: 5n
Simplify the expression 7n + n.
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2.
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A
B
C
D
Simplify Algebraic Expressions
Simplify 8z + z – 5 – 9z + 2.
8z, z, and –9z are like terms. –5 and 2 are also like
terms.
8z + z – 5 – 9z + 2 = 8z + z + (–5) + (–9z) + 2
= 8z + z + (–9z) + (–5) + 2
Definition of
subtraction
Commutative
Property
= [8 + 1+ (–9)]z + [(–5) + 2] Distributive
Property
= 0z + (–3) or –3
Answer: –3
Simplify.
Simplify 6z + z – 2 – 8z + 2.
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A
B
C
D
THEATER Tickets for the school play cost $5 for
adults and $3 for children. A family has the same
number of adults as children. Write an expression
in simplest form that represents the total amount of
money spent on tickets.
Words
$5 each for adults and $3 each for the
same number of children.
Variable
Let x represent the number of adults or
children.
Equation 5 ● x + 3 ● x
Simplify the expression.
5x + 3x = (5 + 3)x
= 8x
Distributive Property
Simplify.
Answer: The expression $8x represents the total
amount of money spent on tickets.
MUSEUM Tickets for the museum cost $10 for adults
and $7.50 for children. A group of people have the
same number of adults as children. Write an
expression in simplest form that represents the total
amount of money spent on tickets to the museum.
A. $2.50x
B. $7.50x
0%
0%
D
0%
A
B
C
D
C
A
D. $17.50x
0%
B
C. $15.50x
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End of the Lesson
Five-Minute Check (over Chapter 7)
Image Bank
Math Tools
Graphing Equations with Two Variables
Two-Step Equations
(over Chapter 7)
Find the area of a triangle with base 10 in. and
height 15 in.
Find the area of a circle with diameter 14 m.
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2.
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A
B
C
D