Download Algebra Unit Review 1) Order of Operations The order in which

Algebra Unit Review
Name: _______ANSWER KEY___________
Date: _______________________
Directions: In your own words, explain what each term means.
1) Order of
Operations
The order in which operations are done in calculations.
(PEMDAS)
2) Variable
A symbol, usually a letter, used to represent a
number.
3) Inverse
Operations
Operations that undo each other. (Opposites)
It states that multiplying a sum (or difference) is the
same as multiplying each number in the sum (or
4) Distributive difference) by the number and adding (or subtracting)
Property
the products.
Ex: 5(3+2)=25 and 5x3+5x2=25
Ex: 5(3-2)=5 and 5x3-5x2=5
The order of addends (or factors) can be changed and
5) Commutative the sum (or product) remains the same.
Property
Ex: 7+3=10 and 3+7=10
Ex: 8x2=16 and 2x8=16
Addends (or factors) can be regrouped and the sum
(or product) remains the same.
6) Associative
Ex: 1+(3+5)=9 and (1+3)+5=9
Property
Ex: 2x(4x3)=24 and (2x4)x3=24
Directions: Evaluate each expression. Make sure to use your order of operations.
Don’t forget to show your work!
7.
53 – 8 x 4 + 9
53 – 32 + 9
21 + 9
30
9.
3 x 6 + (18 - 5)
3 x 6 + 13
18 + 13
31
8.
5 x 8 + 63 ÷ 9
40 + 63 ÷ 9
40 + 7
47
10. 17 + (44-8) ÷ 6
17 + 36 ÷ 6
17 + 6
23
11. 54 ÷ y + 13 x 2; y = 6
12. 39 + 18 – n x 7; n=4
54 ÷ 6 + 13 x 2
39 + 18 – 4 x 7
9 + 13 x 2
39 + 18 – 28
9 + 26
57 – 28
35
29
Directions: Evaluate each equation. Don’t forget to show your work!
13. 8y = 40
14.
÷8
x7
÷8
y = 5
x7
n = 105
15. y + 13 = 92
-13
= 15
16. n ÷ 9 = 14
-13
Y = 79
x9
x9
n = 126
Directions: Translate the following mathematical equations into words.
17. n x 7 = 70
a number times 7 equals 70
18. k - 17 = 15 a number minus 17 equals 15
19. 2n +9 = 17 2 times a number plus 9 equals 17
20. 35-8y = 3 35 minus eight times a number equals 3
Directions: Write a mathematical equation for each word problem, then solve.
21. Two of the same candy bars and a $1 soda cost $5. How much
was each candy bar?
2x + 1 = 5
-1 -1
2x
= 4
÷2
÷2
x = 4
Each candy bar cost $4
22. Three sets of cards, each containing the same number of cards,
were spread out and added to 5 loose cards, giving a total of 26
cards. How many cards were in each set?
3x + 5 = 26
-5 -5
3x
= 21
÷3
÷3
x = 7
Each set contained 7 cards
23. Five packets of balloons and 4 loose balloons totaled 59 balloons.
How many balloons are in each packet?
5x + 4 = 59
-4
-4
5x
= 55
÷5
= ÷5
X = 11
Each packet contains 11 balloons.
24. Roberta’s age, increased by 5, and then doubled is 46. How old
is she?
(X + 5) x 2 = 46
÷2
÷2
X + 5
= 23
-5
-5
X = 18
Roberta is 18 years old.