Name: _______________________________
Date: _____________
Period: _________
Unit 1 Test Review
Unit 1 Objectives:
 I can translate words into algebraic
expressions
 I can classify real numbers
 I can use the number line to add and
subtract
 I can evaluate expressions by using the
order of operations


I can solve equations (combining like
terms, distributive property, and
variables on both sides)
I can represent problems with tables,
graphs, and equations AND use the
equation to answer a question about
that problem.
Math Is a Language
Directions: Translate the English words into an algebraic expression:
1. The sum of r and 100
Expression: ____________________
2. The product of n and 4
Expression:____________________
3. The difference of 𝑟 and 3
Expression:_____________________
4. The quotient of a number and 3
Expression:_____________________
5. Three times the sum of five and a number
Expression:_____________________
6. Six times the difference of a number and two
Expression:____________________
Directions: Translate the math expression into an English phrase:
7. 3m
English Phrase:______________________________________
8. 5x+2
English Phrase:______________________________________
Real Numbers and the Number Line
Directions: Put a check mark in every category the number belongs in
Real Rational Irrational Integers Whole Numbers Natural Numbers
9.
-15
10.
√𝟒
Real Rational Irrational Integers Whole Numbers Natural Numbers
11.
√𝟖
12.
33
13.
You MUST use the number line to simplify the expression:
4 − 5 + 11 − 1 − (+3)
Show markings and draw a circle around your final answer
Order of Operations (SHOW ALL STEPS!)
Directions: Perform each step of order of operations to simplify the following expressions:
14. 6(6) − 23
15. 24 ÷ 4 + 23 − (5 + 3)
16.
25 − 3(5 − 9) − 7
Evaluate Expressions
Directions: Evaluate the following expressions (SHOW ALL STEPS!) Round answers to nearest
tenths place.
𝑥+4𝑦
17.
5𝑎 − 𝑏 2
18.
7−𝑥 2
When 𝑎 = 7, 𝑏 = −4
When 𝑥 = −1 and 𝑦 = 5
Distributive Property
19.
1
3
(21𝑚 + 27)
Answer:_____________
20.
(3𝑛 + 2.5)5
21. – 2(5ℎ + 8)
Answer:_____________
Answer:___________
Combine Like Terms
22.
1.7𝑚2 + 6.5𝑛 − 4𝑛 + 2.5𝑚2 − 𝑛
23.
7𝑐 + 9𝑦 − 5𝑐 − 8𝑦 + 36 − 5𝑐 + 20
Distributive Property & Combine Like Terms
24. 10 − (𝑎 − 6) − 𝑏
25. 9(2𝑘 − 4) − 2(7𝑘 − 12)
26. 8(2𝑥 − 3) − 6𝑥
Solving Equations and Multiple Representations
Directions: Solve the equations. Show ALL STEPS! Round answers to nearest tenths place.
27. – 𝑎 + 6 = 16
28. 4.7𝑛 + 3.8 = 13.2
29. 2𝑥 + 5 = −3𝑥 + 30
30.
4𝑥 + 2 − 𝑥 = 9𝑥 − 4
Directions: For #31-33 use the following scenario:
Tony has 50 songs on his new i-Pod and is downloading songs at a rate of 8 songs per day.
Days
0
# of songs
1
2
3
4
5
6
32. Label the axes and complete the graph:
,Label:____________________________
31. Fill in the table:
Label:_____________________________
33. How long will it take for Tony to have collected a total of 1,000 songs?
a. Write an equation: ________________________
b. Now Solve: