Algebra 1A Summer Review Packet
Name: _______________________________ Date: ___________________ Period: ______
The problems in this packet are designed to help you review topics from previous mathematics course
in order to help prepare you for Algebra. Please show all your work that leads you to a solution. This
packet will be due during the first week of school.
Complete each number line
0
1
___ 3
4
5 ___ 7 ___
-4
-3
-2 ___ ___ 1
9 10
-2
-1
0
2 ___ ___ ___ 6
-7
-6
___ -4 ___ ___ -1
4
___ 8 ___ ___ 14 16 ___ ___ 22
-10 -9 -8 ___ __ ___ -4 -3 ___ -1 ___
-9
-6 __ __ 3
6 ___ 12 ___ 18 21
2
-10 ___ 0
1 ___ ___ 4
5 10
5
6 ___ ___
0 ___ ___ 3
___ 20 25 ___ 35 ___
Adding and Subtracting Integers:
‐10 ‐8 ‐6 ‐4 ‐2 0 2 4 6 8 10 1.
(+5) + (-3) = __________
2.
(+7) + (-2) = __________
3.
(+3) + (-5) = _________
4.
(+4) + (-4) = __________
5.
(+6) + (-7) = __________
6.
(+2) + (+6) = _________
7.
(-5) + (+5) = __________
8.
(-7) + (+4) = __________
9.
(-2) + (+7) = __________
10.
(-3) + (+4) = __________
11.
(-2) + (-2) = __________
12.
(-5) + (-3) = ___________
1.
5 – 3 =_____
2.
-4 – 4 =_____
3.
-8 – (-2) =_____
4.
-2 – (-6) =_____
5.
4 – (-8) =_____
6.
-2 – 1 =_____
7.
9 – (-3) =_____
8.
2 – 1 =_____
9.
3 – 3 =_____
10.
0 – (-1) =_____
11.
0 – 5 =_____
12.
-1 – (-3) =_____
13.
-6 – 1 =_____
14.
4 – 2 =_____
15.
6 – 2 =_____
Adding Fractions:
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
Simplify each expression:
1.
10  3(2  5)  4
3.
25  4 2  18  3
2
2.
4.
P
E
MD
A S
5 3 4  9
3
4
Write the numerical expression for each written expression.
1.
Four more than a number ____n+4______________
2.
Twice a number ___________________________________________
3.
The sum of a number and three ______________________________
4.
Eight less than a number ___________________________________
5.
The product of five and a number ____________________________
6.
The difference of a number and eleven ________________________
32
15
Solve each equation :
1. x + 4 = 12
2.
x + 3 = 17
3.
10 + x = 13
4. x – 11 = 6
5.
x – 9 = 13
6.
x – 5 = 13
7. 3x = 27
8.
7x = 42
9.
5x = 60
10.
x
=2
6
11.
x
=7
4
12.
x
=5
3
13.
1
3
x
2
4
14.
2
1
x
3
4
15.
3
2
x
5
7
Graphing Inequalities: Graph each inequality then circle the number that is in the solution.
1.
x4
7 or 2
2.
x4
7 or 2
3.
x  5
0 or -10
4.
x  5
0 or -10
5.
x2
2 or 6
6.
x  7
-20 or -1
7.
x7
7 or 5
8.
x  2
2 or -3
Word Problems:
1. Sharon has $30.00 to spend at Wiley World. It costs $6.45 for admission and $0.75 for rides.
How many rides can she afford to get on?
2. Jorge bought two identical shirts and a pair of $16.25 jeans at the store. He paid a total of $38.75.
How much did each shirt cost?
3. Kevin purchase seven cupcakes and spent a total of $5.25. How much did he pay for each
cupcake?
4. Tony earned $135.00 at work last weekend. He will spend of his money on a birthday present
for his sister. How much money will he spend on the gift?
Graphing: Plot each point and label it with the letter indicated.
5
4
3
2
F
-5 -4 -3 -2
A(2, 3)
D(4, 5)
G(3, -1)
B(1, -3)
E(0, 2)
H(-3, 2)
C(-2, 4)
F(-1, -2)
I(4, 0)
1
-1
0 1
-1
-2
-3
-4
-5
2
3
4
5