9/28/12 - Simplify. 9/28/12 - Simplify.

1.1. 2y + 4 – 3y – 5 2y + 4 – 3y – 5

2.2. -7(2t + 1) + 10-7(2t + 1) + 10

= -1y – 1= -1y – 1

= -14t + 3= -14t + 3

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This is Sheet #2!

Mrs. SpanierMrs. SpanierAlgebra 1Algebra 1

Think About…Think About…

Why is Why is 2x + 1 = 52x + 1 = 5 called a called a “2-step” equation?“2-step” equation?

Ex. 2x + 1 = 5Ex. 2x + 1 = 5 Why 2 steps?Why 2 steps?It takes 2 steps to solve an It takes 2 steps to solve an equation with 2 operations.equation with 2 operations.–First: Solve addition or subtraction.First: Solve addition or subtraction.–Second: Solve multiplication or Second: Solve multiplication or

division.division.

Work your way towards the Work your way towards the variable.variable.

Problem 1Problem 1

2x – 11 = 52x – 11 = 5 + 11 +11+ 11 +11 2x = 162x = 16

x = 8x = 8

Add 11 Add 11

Divide by 2Divide by 2

Solution is x=8Solution is x=8

___ ___ 2 2

Problem 2Problem 2

67 = 11y + 167 = 11y + 1 -1 -1 -1 -166 = 11y66 = 11y

6 = y6 = y

Subtract 1 Subtract 1

Divide by 11Divide by 11

Solution is y=6Solution is y=6

___ ___ 11 11

Problem 3Problem 3

3r – 8 = -353r – 8 = -35 +8 +8+8 +8 3r = -273r = -27

rr = -9 = -9

Add 8 Add 8

Divide by 3Divide by 3

Solution is r = -9Solution is r = -9

___ ___ 3 3

Problem 4Problem 4 10 = -7 + c10 = -7 + c

+7 +7+7 +7 17 = c17 = c

c = 34c = 34

Add 7 Add 7 Multiply by 2Multiply by 2

__ 2

__ 2

22

Problem 5Problem 5

24 = 4 – 2t24 = 4 – 2t -4 -4-4 -4 20 = -2t20 = -2t

t = -10t = -10

Subtract 4 Subtract 4

Divide by -2Divide by -2___ ___ -2 -2

Before you go…Before you go…

Tell someone in your group Tell someone in your group how you know what to do how you know what to do first.first.

The EndThe End