Algebra: Unit 1 Part B Test Review(not worth points)
Section 1.5 Combining Like Terms & Distributive Property
5 + 7x – 3 + 8x
1.
4. –6(3x + 8y)
Section 1.5
5.
2.
7x + 18y – x – 10y
1
(6x + 12y)
3
3.
5 – 2(x – 8)
6.
3x + 8x2 – 10x – 3x2
7. 4(2n – q) + 2(3n – 5q)
Solving Multistep Equations
2. –10 = 8(x + 2) – 6x
1. 3(x + 6) < 27
3. 4m + 7 + 5m – 2 < 32
Find the missing angles. Show all work.
4.
a) Equation: _________________
5.
a) Equation: _____________
A
C
C
2x + 6
3x – 3
b) x = ______
c) mABC = ______
A
x+7
b) x = ______
D
B
c) mCBD = ______
3x – 1
B
6. The length of a rectangle is six times the width. The perimeter is 56 cm. Write an equation only. Do
NOT solve!
Section 1.6 Solving Equations with Reciprocals
1. 3x  6  12
4
2. Jesse spent
3
of her savings on a new coat. The coat cost $42. How much were her savings
7
before she bought the coat?
Section 1.7 Rates (Dimensional Analysis)
1. A washing machine can spin 320 times in a minute. How many times would you expect it to spin
per second?
320 spins 1 min

= ________ = _________
min
60 sec
2.
60 min

1 hour
3.
80 miles

hr
__________
__________
_
_____________
=

1440 min
1 day
___________________
miles
= _________________
min
D
4. Victoria bought some material for $5.10 per yard. She is going to cut them up into strips to make
pom poms to sell at the school store. Find out how many cents per inch the material costs so she
can determine how much to charge for them. Round your answer to the nearest penny.
$5.10 ___________ __________


=
yd
Section 1.8 Intro to Radicals
___________________
cents
= _________________
inch
Simplifying IRRATIONAL square roots - WITHOUT a decimal answer.
1.
45
2.
3. 5 44
24
4. 3 48
Section 1.9 & 1.10 Histograms, Dot Plots, and Frequency Tables
1. Each student made key chains for a
fundraiser as shown in the diagram.
a) How many students made key chains?
b) How many made less than 3 key chains?
2. A farmer counted how many apples were on
each tree in her orchard.
a) How many trees does she have in total?
b) What was the most frequent number of apples on a tree?
3. Use the frequency table showing the results of a survey of
several hospital patients to answer the following questions.
a) How many patients were surveyed?
b) How many patients weighed more than 90 kg?
c) What is the relative frequency of 80-90 lbs?
Answers: Section 1.5 Combining Like Terms & Distributive Property
1. 15x + 2 2. 6x + 8y 3. 5x2 – 7x 4. –18x – 48y 5. 2x + 4y 6. –2x + 21
Section 1.5 Solving Multistep Equations
1. x < 3 2. x = –13 3. m < 3 4. 4x + 4 = 180, x = 44, 129
7. 14n – 14q
5. 5x + 5 = 90, x = 17, 50 6. 14x = 56
Section 1.6 Solving Equations with Reciprocals: 1. x = 24 2. 3 c  42 , c = 98, Her savings were originally $98.
7
Section 1.7 Rates (Dimensional Analysis): 1. 5.33 spins/sec 2. 24 hours
3. 1.33 mi/min 4. 14¢/in
1 day
Section 1.8 Intro to Radicals:
1.
3 5
2. 2 6
3. 10 11
4. 12 3
Section 1.9 & 1.10 Histograms, Dot Plots, and Frequency Tables
1. a) 23 b) 9 2. a) 40 b) 20 – 29 and 50 – 57
3. a) 15 b) 7
c) 33%