Algebra 1 Summer Review Packet
The problems in this packet are designed to help you review topics from previous math courses that are important for your success in Algebra 1.
Directions: Show all of your work in order to receive full credit. You may use your notes from previous math courses to help you. You may also view tutorials on-line as suggested in this packet.
DUE THE FIRST DAY OF SCHOOL: This packet will count as part of your first nine week grade.
Helpful website: http://www.khanacademy.org/
ENJOY YOUR SUMMER.
Algebra I Summer Packet was created by various sources

A. Apply the order of operations to integer computations.
B. Simplify algebraic expressions.
C. Solve equations that contain multiple steps (including fractional coefficients).
D. Create algebraic equations from verbal expressions.
E. Simplify expressions by combining Like Terms
F. Solve word problems.

A. You should be able to: Apply the Order of Operations to integer computations.
Refer to video tutorials at http://www.khanacademy.org/
Evaluate the following expressions using Order of Operations (PEMDAS)
1. 4-12 + 8-10 + 5
2. 8(3+4)-3-2+(12-9) 3. ( 5 2 + ( l2 - 8) 2 ) - 1 - Insert sets of parentheses to make the following equation true. Then work through Order of Operations to to support your answer.
4. 7 + 14-9-6 = 7
Simplify the following algebraic expressions.
5. -2(3x + 2)= 6. 3(2x-3)+(x-5) =

7. 4(3x-2)-(5x-6) = 8
.
¾ (4x + 12) =______
C. You should be able to: Solve equations.
Refer to video tutorials at http://www.khanacademy.org/
Solve the following equations. Show all work.
9. x + 12 = 62 10. 48-x = 23
11. jc-2 = 14 + 6 12. 13x = 195
13. 6y – 11 = 25 14. 8 = x/5
15. 16.
17. 19 – h = 3h –13 18.
6 a – 8 = 10a - 18
19. 25 = 3 k – 12 20 .
2( n + 5) = –10

21 .
– 34 = 42 – 5 v 22 .
– 1 + 5 x = 23
23. a.
Solve b. Write the right side of the equation in part (a) as the sum of two fractions.
Solve the equation.
c.
Did you find the equation in part (a) or the rewritten equation easier to
solve?
Why?
D. You should be able to: Create algebraic equations from verbal expressions.
Refer to video tutorials at http://www.khanacademy.org/
Write an algebraic equation for each. Then, solve each equation showing all work.
24. Three times a number, increased by 4, is 25. What is the number?
25. A number divided by .6 is 14. What is the number?
26. One third of a number is equal to 24. What is the number?

27. Eight less than twice a number is twenty. What is the number?
E. You should be able to: Simplify expressions by combining Like Terms
Refer to video tutorials at http://www.khanacademy.org/
28. Create a like term for the given term.
a. 4x b. 13y
Combining Like Terms
29. Simplify the expression if possible.
a. 7x + 8x b. 6x + 8y + 2x c. 15x 2 +5x 2 d. 5x+2(x + 8) e. -10y + 4y f. 9(x + 5) - 7(x - 3) g. 8 + (x-4)2

h. 7y + 8x + 3y + 2x i. x + 2x j. x 2 + 5x 2 k. 2x + 4x + 3(x + x) l. 6y-3y-2(y-1)
m. 9y+ 4y-2y + y n. x + 5x + x + 12 - 10(x + y) o. 8x - 3x + 2x + 15 + 7(x - 2)
p. -9(x-4)-(x + 5) q. -(x + 3) + 3(-x-6) r. 2(x-y + z)-4(x-y + z)
F. You should be able to: Sovle word problems
Refer to video tutorials at http://www.khanacademy.org/
Variables & Expressions Short & Extended Constructed Response
30. A rectangle is 6 inches longer than it is wide. Write and simplify an expression for the perimeter of the rectangle in terms of the width w.

31. You and a friend worked in the school store last week. You worked 4 hours less than your friend.
Let h be the number of hours your friend worked. Write an expression in simplest form that represents the total number of hours you both worked.
32. A trail mix contains peanuts, raisins, and M&Ms. In the mix, the amount of peanuts is three times the amount of M&Ms; and the amount of raisins is two times the amount of M&Ms. Let m represent the amount of M&Ms. Write and simplify an expression for the total number of pieces of food in the trail mix.
33. Write an expression that has four terms and simplifies to 16x + 5.
a.
Identify the like terms b.
Identify the coefficients c.
Identify the constant terms
34. A cell phone company is offering 2 different monthly plans. Each plan charges a monthly fee plus an additional cost per minute.
Plan A: $ 40 fee plus $0.45 per minute

Plan B: $70 fee plus $0.35 per minute a) Write an expression to represent the cost of Plan A b) Write an expression to represent the cost of Plan B c) Which plan would be least expensive for a total of 100 minutes?