Name: ______________________________
Date: ____________
Period: ___________
Unit 1 Assessment Review-Multiple Choice
Algebra 1
2086
1. Name the set of real numbers each belongs to. a.) -31
b.) -½
c.) √144
1
2. Complete with < or >. 9 _____√90
5
2
9
5
2
3. Order from least to greatest. 0.9, −|2.3|, √5, , −√
4. The steps Bob used to solve an equation are shown below.
Solve:
Step 1:
Step 2:
Step 3:
Step 4:
2𝑥 + 6 + 4𝑥 = 31
2𝑥 + 4𝑥 + 6 = 31
6𝑥 + 6 = 31
6𝑥 = 25
𝑥 = 25
6
Which properties justify Step 1 and Step 3?
A. Step 1: Distributive Property
Step 3: Division Property of Equality
B. Step 1: Distributive Property
Step 3: Subtraction Property of Equality
C. Step 1: Commutative Property of Addition
Step 3: Division Property of Equality
D. Step 1: Commutative Property of Addition
Step 3: Subtraction Property of Equality
5. Write a word phrase to represent each algebraic expression
a. 2x + 3
b. 4(𝑚 − 8)
6. Which situation could be represented of the expression: 5ℎ + 3
A.
B.
C.
D.
Sarah spends 5 hours dog walking and 3 hours traveling.
Sarah spends 5 hours dog walking and receives $3 in travel expenses.
Sarah will be paid $5 for dog walking and spends 3 hours traveling.
Sarah will be paid $5 for every hour of dog walking plus $3 for travel costs.
d. √15
𝑎
7. Evaluate. − 𝑐 2 𝑑, for a=16, b= 4, c=5, d= -2
𝑏
8. If 8√21𝑎 = 32√21, what is the value of a?
9. Simplify. √121(82 ÷ |22 − 62 | − 5.7)
10. Simplify.√
196
100
11. Simplify. −(– 𝑥 − 3) − 5(2𝑥 + 6)
12. Simplify. −8(5𝑥 − 3) − 3𝑥 + 6
13. Find the GCF and LCM of 36𝑥 7 , 27𝑥 2
14. Simplify. √300
15. Simplify the expression. 7√5 − 8√5
16. Simplify the expression. √3(√6 − 4)
17. Simplify the expression.
7
√7
18. Simplify the expression. 7√5 − 3√80
Name: ______________________________
Date: ____________
Period: ___________
Unit 1 Assessment Review-Open Ended
Algebra 1
2086
1.
2
A square-shaped patio has an area of 196 ft . You want to install a fence around 3 sides of the patio.
A. How many feet of fence should you purchase? Show or explain your work.
B. What is the total cost if the fence is sold in 3 ft pieces, at $8 per piece? Show or explain your work.
2. James is incorrectly simplifying an expression. His steps are shown below:
Simplify:
Step 1:
Step 2:
5x  4  x  2
5x  4 x  8
x 8
A. Identify the step where James made his mistake and explain the mistake.
B. Correctly simplify the expression. Show your work.
3.
A surveyor used various methods to calculate the areas of several pieces of land. Their areas in acres
are listed below.
6√3,
A.
(3.5)2 ,
√75,
9.8 ,
57
5
List these numbers in order from greatest to least
_____________
______________
________________
________________
B.
Explain how you found the correct order for the numbers in part A.
C.
The surveyor wrote the related expressions below.
6𝑥√3,
𝑥(3.5)2 ,
𝑥√75,
9.8𝑥 ,
57𝑥
5
Suppose that x is a negative real number. List these expressions in order from greatest to least.
_____________
D.
______________
________________
________________
Explain how your found the correct order for the expressions in part C.