Summer 2020 Skills packet in Preparation for Algebra 2

Summer 2020 Skills packet in Preparation for

Algebra 2

The following packet is to help prepare you for Algebra 2 for the 2020-2021 school year. Utilize the problems and answer keys to practice content that is pertinent to be successful in your future Algebra 2 class.

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Table of Contents

Topic 1. Solving Equations

a. One-step Equations b. Two-step Equations c. Multi-step Equations 2. Solving Literal Equations 3. Algebraic properties 4. Integers 5. Order of Operations 6. Radicals 7. Exponents 8. Factoring 9. Graphing Linear Equations 10.Graphing Quadratic Equations

Page numbers

........................ page 3 ........................ page 4 ........................ page 5 ........................ pages 6 ? 10 ........................ pages 11 ? 14 ........................ page 15 ........................ pages 16 ? 17 ........................ pages 18 ? 19 ........................ pages 20 ? 22 ........................ pages 23 ? 25 ........................ pages 26 ? 28 ........................ pages 29 ? 30

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Solving Equations

Additive inverse or multiplicative inverses are used to "isolate" . In the following problems you may have to use both concepts to isolate "". You may, also, must perform inverse operations to isolate "" to determine its value.

The order of operation in mathematics is described using the acronym, PEMDAS. When operations must be "undone" in an equation to isolate "", the order of operations are reversed, SADMEP. However, you must accurately recognize what operations are represented in the equation.

One-step Equations:

1) + 3 = 18

2) - 10 = 21

3) + 4 = -9

4) - 13 = -9

5) 4 = 24 7) -4 = 22

9)

= 5

6

6) 3 = -24

8)

3 = 9

5

10)

2 = 1

3

4

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Two-step Equations:

1) 2 - 9 = -31

3) -8 - 6 = -50

5) 5 + 11 = -24

7) 4 + (-7) = -43 9) -2( - 3) = 30

2)

- 5 = 4

-3

4)

-9 + = 2

4

6)

8 + = 13

-7

8) 2( + 3) = -12

10)-(3 - 12) = 48

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Multi-step Equations:

1) 6(1 + 3) = 2(7 + 9)

2) 2(-3 + 5) = -9? 17

3)

5 = +6

9

3

5) ? 4 = - (10 ? 3)

7) 15 + 5 = 5(3 + 1)

4) -17 ? 4( ? 1) = -20

6)

-4 = 2-6

-2

10

8)

1 (-8 + 8) = 2(-4 + 4)

2

9) 8(4 - 4) = -5 - 32

10) 3( + 15) - 6 = -6( - 3)

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