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Unit 3 Assessment Study Guide

Total questions: 10

Worksheet time: 44mins

Name
Class
Date
1.
Carlos  provides dog-walking services in his neighborhood.  For each walk he charges a flat fee of $5 for clean-up and $6 per dog.  Write an equation to represent the relationship between the total charge, c, and the number of dogs he works, d.
a)
c = 6d + 5
b)
d = 6c + 5
c)
c = 5d +6
d)
d = 5d + 6
2.
What is the constant in the expression:
 8x3 + 5 + 7x2 + 6x?
a)
8
b)
5
c)
7
d)
6
3.
A company sells ear buds for $17 each.  At the end of the week, they have sold $731 worth of ear buds.  How many ear buds did they sell?  Write and solve an equation to find the answer.
a)
17e = 731
e = 43
b)
17 + e = 731
e = 714
c)
e - 17 = 714
e = 745
d)
e/17 = 731
e = 43
4.
Leanna opens a savings account with an initial balance of $100.  She then deposits $50 each month.  Let a represent the money in the account and let m represent the number of months since Leanna opened the account.  Write an equation that represents this situation. 
a)
a = 50m  + 100
b)
a = 50 + 100m
c)
a = 50 + 100
d)
100 = 50m + a
5.
Which value makes the equation 3x – 6 = 36 true?
a)
10
b)
12
c)
14
d)
16
6.
Sean wants to practice his soccer skills for at least 2.5 hours this week.  Write an inequality that represents the number of hours Brandon will spend practicing this week.
a)
P > 2.5
b)
p > 2.5
c)
p < 2.5
d)
P < 2.5
7.
Which expression is equivalent to 75x – 25x? 
a)
50
b)
100
c)
x(75-25x)
d)
x(75-25)
8.
Consider the possible solution to each inequality. 
a)
Is 8.3 a solution of 73.8 ≤ 9x
b)
Is 6.5 a solution of 12x < 78
c)
Is 13 a solution of 14 – x ≥ 2
d)
Is 6 a solution of x + 12 > 18
9.
If each equation below is solved for x, for which equation is x = 8 the solution? 
a)
3x = 21
b)
7x = 63
c)
13-x = 5
d)
x -15 = 7
10.
Evaluate (9-3)2 + 5 ÷ 1/3 
a)
36
b)
51
c)
27
d)
15