Algebra I: Section 3



CC MATH I STANDARDS UNIT 3

4.5 SOLVING MULTI-STEP EQUATIONS: PART 1

WARM UP: Solve for the given variable.

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REVIEW OF SIMPLIFYING EXPRESSIONS

COMPLETE THIS SECTION AFTER QUIZ IS COMPLETED

1) 3a + 7b + 5a – 4b

2) 9(2x – 8)

3) 15 – 4 (6n + 3)

4) – 6(– 3 – 8b)

5) 12x – 5 – 7x – 2

6) 7(8 + 4z) – 15z

HOW TO SOLVE MULTI-STEP EQUATIONS

1) SIMPLIFY ALL EXPRESSIONS (Distribute, Combine Like Terms, Evaluate)

2) IDENTIFY VARIABLE

3) CANCEL Operations using their opposites in reverse order of operations

EXAMPLES:

1) 7x + 5 – 3x = 17

2) 9(x + 4) = 63

3) 4(2y – 3) = 28

4) 7(6 – x) = 56

5) 3(8+ n) – 15 = 24

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7) 19 = 9 + 2(x – 7)

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9) 4(3y – 5) – 7y = - 60

CC MATH I STANDARDS UNIT 3

4.5 SOLVING MULTI-STEP EQUATIONS: PART 2

WARM UP: Simplify each of the following expressions

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SOLVE THE FOLLOWING ONE and TWO STEP EQUATIONS

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PRACTICE: SOLVE MULTISTEP EQUATIONS

1) 10x – 7x = 12

2) 9z + 11 – 5z = 27

3) – 7 + 6n – 9 = - 4

4) 6(y + 7) = 66

5) -3(4x + 9) = 15

6) 5(1 – 2x) = - 65

7) 8 + 3(r + 5) = 5

8) 15 – 2 ( 7 – x) = 7

9) 7(3 + 4y) – 15y = 73

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CC MATH I STANDARDS UNIT 3

4.5 SOLVING MULTI-STEP EQUATIONS: PART 3

WARM UP PART 1: Simplify each expression

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WARM UP PART 2: Solve each equation

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HOMEWORK: SOLVE EACH EQUATION #1 – 14 10/22

• Use a separate piece of paper as needed

• Reduce all fraction answers

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MATCH SOLUTIONS BELOW WITH THE EQUATIONS ABOVE

A) 2

B) 4

C) -3

D) -5

E) -1/2

F) 1

G) 1/3

H) ¼

I) -2

J) 3

K) -7

L) 9

M) 11

N) 3/2

BONUS: ADVANCED PROBLEMS

B#1) 3(2x + 4) – 2(5 – x) = 66 B#2) [pic]

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