Algebra I
Summer Review Packet
This packet is a review of the entering objectives for Algebra 1 and is due on the first day back to
school. It is
great summer.
I.
to be done NEATLY and on a SEPARATE sheet of paper.
Factors:
Write the factor pairs for each number.
a)
Example:
Give the factor pairs of 12:
Answer:
1 x 12
2x6
3x4
II.
Have a
48
b) 72
c) 126
d) 39
e) 53
f) 121
Find the Greatest Common Factor
a) 12 and 20
b) 54 and 81
c)
d) 27 and 72
e)
f) 169 and 39
18 and 63
15 and 70
III. Order of Operations and Integer Operations
Evaluate each expression.
IV.
a) 3 – 4
b) -14 – 8
c) - 7 + 3
d) -4 + 9
e) -1 – -7
f) -2 + -9
g) -4  -2
h) -54  9
i) 15  -2
j) -32  - 4
k) 27  3 + 42
l) 2[5 + 3(14 – 6)]
m) 24  8 + 5  6
n)
o) 30 – 4  5 + 7
p) 18  [(8)(2) – 7]
Fractions. Perform the indicated operation. Make sure final answer is simplified.
2 1

5 5
a)
e)
V.
a)
(5  2) 2  9
6
5 4

8 10
b)
f)
3 2

4 3
3
8
4
c)
1 5

2 7
d)
12 3

7
14
g)
1 1

3 2
h)
2 5

9 3
Combining Like Terms and Distributive Property.
Simplify:
2 + 3y – 5y
b) 9x + 6 – 5x
c) 15n + 2n – 8n
d) 4x2 – 5x2 + 7x
e) 3p – 7p2 + 4p – 2p2
f) -9 – 8x – 4 – 7x
g) 3(y + 6)
h) -4(2x + 7y)
i) (4r – 5)(-2)
j) 3x + 7(x – 4)
k) 2 – 7(3 – 5x)
l) -3(x + 1) – 2
m) -2(x + 5) + 3(4x – 9)
n) 9(3x + 4) – 5(3 – 2x)
o) 7(w + 3y) – 6(2w + 3y)
Algebra I
VI.
Summer Review Packet
Solving one-step equations.
Solve:
a) z –7 = -3
b) p + - 7 = 9
e) -5y = 23
f)
c) 8 + q = -4
w
8
3
g)
d) 3a = -27
x
9
-6
h)
1
x  12
5
VII. Solving two-step equations.
Solve:
a) - 3x + 4 = 4
e)
1
x 5  10
3
b)
5x - 7 = - 22
c.)
-x-4=3
f) 4x + 10 = 14
d)
- 2x + 6 = 0
g) 6 – r = 9
VIII. Translating Verbal Phrases
Hint: More, sum, plus = addition
Difference, less, minus = subtraction
Quotient, divided by = division
Product, time, multiplied = multiplication
is = Equal to
a)
c)
e)
g)
i)
j)
The difference of 7 and 10 times a number
b) 11 plus the quotient of a number and 7
Two less than the sum of six and a number
d) Half of a given number
The sum of 6 and a number
f) 3 less than 4 times a given number
The sum of 6 and a number is 18.
h) Sixteen more than a number is 36.
12 more than a number
One number decreased by the sum of 10 and the square of another number
IX.
Inequalities. Graph the inequality on a number line.
<  less than, open circle
  less than or equal to, closed circle
>  greater than, open circle
  greater than or equal to, closed circle
a) x  3
b) y  -8
d) k < -0.5
e)
X.
c) 5 > w
1
q
3
f) -
Rounding
Round each number to the nearest hundredth.
a) 15.7895
e) 4.99762
b) -2.5654
f) 1
1
6
c)
2
3
d)
g)
4
2
7
-3.89254
13
w
4