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Pearson Algebra 1 Common Core, 2015
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7. The Distributive Property
Entry-Level Assessment
1 Subchapters
1. Foundations for Algebra
p. 1-76
17 Subchapters
2. Solving Equations
p. 77-160
17 Subchapters
3. Solving Inequalities
p. 161-230
15 Subchapters
4. An Introduction to Functions
p. 231-290
14 Subchapters
5. Linear Functions
p. 291-360
15 Subchapters
6. Systems of Equations and Inequalities
p. 361-414
13 Subchapters
7. Exponents and Exponential Functions
p. 415-482
15 Subchapters
8. Polynomials and Factoring
p. 483-542
15 Subchapters
9. Quadratic Functions and Equations
p. 543-610
15 Subchapters
10. Radical Expressions and Equations
p. 611-660
13 Subchapters
11. Rational Expressions and Functions
p. 661-722
14 Subchapters
12. Data Analysis and Probability
p. 723-791
14 Subchapters
End-of-Course Assessment
1 Subchapters
Skills Handbook
16 Subchapters
Start
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Lesson Check
p. 49
8 Solutions
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Practice and Problem-Solving Exercises
p. 50-52
82 Solutions
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Exercise
1
Page
49
Page
49
Hint & Answer
Solution
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Hints
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A
a
When
distributing
, which terms inside the parentheses must be multiplied by the outside term?
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B
b
Be careful with
negatives
when distributing.
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C
c
Be careful with negatives when distributing.
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D
d
Be careful with negatives when distributing.
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Check the answer
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A
a
7j+14
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B
b
- 8x+24
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C
c
- 4+c
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D
d
- 11-2b
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Practice makes perfect
Practice exercises
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Progress overview
a
Using the
Distributive Property
, we can multiply each term inside the parentheses by 7.
(j+2)7
Distr
Distribute 7
j(7)+2(7)
Now that we have rewritten the expression, we can simplify our answer.
j(7)+2(7)
Multiply
Multiply
7j+14
b
Using the Distributive Property, we can multiply each term inside the parentheses by - 8. Be careful when multiplying
negative
terms.
- 8(x-3)
Distr
Distribute - 8
x(- 8)-3(- 8)
Now that we have rewritten the expression, we can simplify our answer.
x(- 8)-3(- 8)
MultNegNegOnePar
- a(- b)=a* b
x(- 8)+3* 8
MultPosNeg
a(- b)=- a * b
- x* 8+3* 8
Multiply
Multiply
- 8x+24
c
Using the Distributive Property, we can multiply each term inside the parentheses by - 1. Be careful when multiplying negative terms.
- (4-c)
Distr
Distribute - 1
4(- 1)-c(- 1)
Now that we have rewritten the expression, we can simplify our answer.
4(- 1)-c(- 1)
MultNegNegOnePar
- a(- b)=a* b
4(- 1)+c* 1
MultPosNeg
a(- b)=- a * b
- 4* 1+c* 1
Multiply
Multiply
- 4+c
d
Using the Distributive Property, we can multiply each term inside the parentheses by - 1. Be careful when multiplying negative terms.
- (11+2b)
Distr
Distribute - 1
11(- 1)+2b(- 1)
Now that we have rewritten the expression, we can simplify our answer.
11(- 1)+2b(- 1)
MultPosNeg
a(- b)=- a * b
- 11(1)-2b(1)
Multiply
Multiply
- 11-2b
Using Inductive Reasoning to Create Equations
Level 1 exercises - Using Inductive Reasoning to Create Equations
Level 2 exercises - Using Inductive Reasoning to Create Equations
Level 3 exercises - Using Inductive Reasoning to Create Equations
Subchapter links
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Lesson Check
p.49
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