JACKSON SCHOOL DISTRICT

ALGEBRA 2 SUMMER ASSIGNMENT The purpose of this assignment is to prevent the ‘summer slide’ and ensure students are prepared to begin Algebra 2 in September. The topics you will practice include Algebra 1 core concepts necessary to be successful in Algebra 2. PART 1: Simplifying Polynomial Expressions Simplify each expression. 1. 8𝑥 − 9𝑦 + 16𝑥 + 12𝑦

2. 5𝑛 − (3 − 4𝑛)

3. 10𝑦(16𝑥 + 11)

4. 3(18𝑧 − 4𝑤) + 2(10𝑧 − 6𝑤)

5. (8𝑥 + 3) − 12(4𝑥 − 10)

PART 2: Solving Equations Solve each equation for x. Show all work. 1. 5𝑥 − 2 = 33

3. 132 = 4(12𝑥 − 9)

2. 8(3𝑥 − 4) = 196

4. −131 = −5(3𝑥 − 8) + 6𝑥

5. 12𝑥 + 8 − 15 = −2(3𝑥 − 82)

Solve each equation for the specified variable. 1. 9𝑤𝑟 = 81, 𝑓𝑜𝑟 𝑤

2. 2𝑑 − 3𝑓 = 9, 𝑓𝑜𝑟 𝑓

PART 3: Rules of Exponents Simplify each expression using the rules of exponents. 𝑚15

1. (𝑐 3 )(𝑐)(𝑐 2 )

2.

3. (𝑥 4 )5

4. 𝑎0

5. (𝑝4 𝑞 2 )(𝑝7 𝑞 5 )

6.

𝑚3

45𝑦 3 𝑧 10 5𝑦 3 𝑧

PART 4: Binomial Multiplication Multiply. Write your answer in simplest form. 1. (𝑥 + 10)(𝑥 − 6)

2. (2𝑥 − 1)(𝑥 − 4)

3. (−3𝑥 − 4)(2𝑥 + 4)

4. (𝑥 + 7)2

PART 5: Factoring Factor each expression. 1. 3𝑥 2 + 6𝑥

2. 𝑥 2 − 25

3. 𝑥 2 − 9𝑥 + 20

4. 𝑦 2 + 18𝑦 + 81

5. 2𝑥 2 + 7𝑥 − 4

6. 3𝑥 2 + 19𝑥 + 6

PART 6: Radicals Simplify each radical. 1. √121

2. √90

3. √486

4. 2√16

5. 6√500

6. �

125 9

PART 7: Linear Equations Write the equation of the line with the given information. 1. (5, 4) 𝑚 =

−2 3

3. (−1, 4) 𝑎𝑛𝑑 (1, −2)

2. (−2, 4) 𝑚 = −3

4. (1, −3) 𝑎𝑛𝑑 (−1, −2)

5. (2, −4) 𝑎𝑛𝑑 (6, −4)

Graph the line for each linear equation. 1. 𝑦 = 2𝑥 + 3

3

2. 𝑦 = − 𝑥 − 1 2

3. 𝑦 = 𝑥

4. 𝑦 = 4

5. 5𝑥 + 2𝑦 = 10

6. 4𝑥 − 3𝑦 = 9

PART 8: Solving Systems of Equations Solve the system of linear equations. 1. 6𝑥 + 7𝑦 = 19 3𝑥 − 7𝑦 = −1

2. 𝑥 − 2𝑦 = 5 3𝑥 − 5𝑦 = 8

3. 2𝑥 + 3𝑦 = 6 −3𝑥 + 2𝑦 = 17

4. 𝑦 = 2𝑥 + 4 −3𝑥 + 𝑦 = −9

PART 9: Absolute Value Equations Solve each equation. 1. |𝑥| = 3

2. |𝑥 − 4| = 3

3. |𝑥| − 10 = −3

4. −2|𝑥| = −14