Edward Smith, Principal Kyle Franey, Assistant Principal

BOUND BROOK HIGH SCHOOL

A supportive multicultural community that provides an innovative and academically challenging educational program while offering a variety of extra-curricular and social opportunities that encourage life long learning and citizenship.

www.bbrook.k12.nj.us 732-652-7950 Edward Smith, Principal Kyle Franey, Assistant Principal Algebra 1 2014 Summer Assignment

Dear Student,

This summer assignment will prepare you for success in your math class next September. Please complete the following exercises this summer, and be prepared to submit your work on the first Friday of the new school year, September 12, 2014. Your performance with this packet will count as the first homework grade that you receive for the marking period. The problems in this packet will be discussed in class and will be the basis for the first quiz that you are given. You must show all necessary work in order to receive credit for your efforts. Visit the following websites if you need additional instruction in any of the review topics.

http://www.math.com http://www.purplemath.com http://www.freemathhelp.com http://www.algebrahelp.com

Review Topics:  Fractions, Decimals, and Percents  Simplifying and Evaluating Expressions  Operations with Positive and Negative Numbers  The Distributive Property and Combining Like Terms  Translating Expressions and Equations  Solving Single-Step and Multi-Step Equations  Solving Proportions  Solving Percents

Sincerely, The Bound Brook High School Math Department Algebra I: Pre-Course Skills Practice Summer Assignment

All work must be submitted for grading the first Friday of classes in September. For each section, work must be shown. Circle all answers. It will count toward your homework grade. These problems will be discussed in class. The first quiz of the school year will be based on problems in this packet.

Assignment 1: Fractions, decimals, and percents Simplify 1. 2. 3. 4. 5.

36 8 45 16 24

18 24 15 64 18

Write each fraction as a decimal and a percent 6. 7. 8. 9. 10.

3 5 9 6 19 4 6 20 5 25

Assignment 2: Simplify and Evaluate Expressions Evaluate each expression for: Simplify each expression a = 2, b = 5, x = 4, and n = 10

1. 3 + 8 ÷ 2 – 5 7. 8a + b

2. 5(9+3) – 3 . 4 8. a(6 – 3n)

3. 53 + 63 – 52 9. bx + an

4. 4 + 7 . 2 + 8 10. x2 – 4n

5. 4(5-3)2 11. n2 – 3(a+4)

6. 9 . 4 + 2 . 6 12. [a + 8(b – 2)]2 ÷ 4 6 . 4 Assignment 3: Operations with Positive and Negative Numbers: Simplify each expression using the rules for positive and negative numbers 1. 2. 3. 4. 5.

-27 + 19 8 - 17 35 – (-12) - 8 +(-13) 6 (-11)

6. 7. 8. 9. 10.

(-10) (-8) 64  72 2  7 3 (-35) ( ) ( ) 16  9 5  6  4

Assignment 4: Distributive Property and Like Terms: Simplify each expression using the Distributive Property 1. 2. 3. 4. 5.

3 (5 + w) (h – 8)7 6 (y + 4) -2 (3x + 4y) 4 (3n + 5m –12)

Simplify each expression by combining Like Terms 6. 7. 8. 9.

9a + 6 – 3a 5x = 6y + 7x 3a + 5b + 2a +7b 8n + 5n – 2m – 7n

Assignment 5: Translating Expressions and Equations Write an algebraic expression for each verbal expression 1. a number t increased by 21: 2. the sum of 4 and 6 times a number z: 3. one-half the cube of a number x: 4. 12 less than the number w, divided by p: Translate each sentence into an equation 5. A number x times 2 minus 6 is the same as m divided by 3.

6. The cube of a decreased by the square of b is equal to c.

7. The number p is the sum of twice the number a and the number b.

8. Thirty decreased by the quotient of s and t is equal to v. Assignment 6: Solving 1 and 2 Step Equations

Solve each equation 1. 2. 3. 4. 5.

p – 47 = 22 9 + s = -5 -2 – x = - 8 y – (-26) = 41 w  3 5

6. 7. 8. 9. 10.

-24 = 8x -9x = 36 a 2 4 2x – 5 = 3  2 x   6 5 7

11. 12. 13. 14. 15.

4y + 5 = 37 7a + 6 = -36 m -3c – 9 = -24 5a + 4a = -72  5  2 4

Assignment 7: Solving Proportions:

Solve each equation 1. 2. 3. 4. 5.

x 24 30 w n 3 y 4 n n  4      9 3 14 7 63 7 15 8 3 7

Assignment 8: Solving Percents:

Use the percent proportion to find each number. 1. 2. 3.

25 is what percent of 125? 14 is 20%of what number? What number is 25% of 18?

4. 5. 6.

What percent of 48 is 30? 49 is 200% of what number? What number is 150% of 32?

7. Maria usually makes 85% of her shots in basketball. If she shoots 20 shots, how many is she likely to make?

8. Benny answered 36 items correctly on a 40 problem test. What percent did he answer correctly?

9. Jose told his dad that he won 80% of the solitaire games he played yesterday. If he won 4 games, how many games did he play?