Download 60 Review Ch2

MTH60 – Chapter 2 Review
Name: ___________________________________
On the test, you will be allowed to use a calculator for the word problems only. Cell phones may not be
used, and calculators may not be shared.
In problems 1-5, solve the given equation.
1.
2 x  3( x  4)  2( x  3)
2.
4( x  2)  3( x  5)  x
3.
11m  4(m  3)  6m  4m  12
4.
1
1 5
x   x 1
2
3 6
5.
x6 x4 x2


10
15
6
7.
Solve the formula V   r 2 h for h.
1
3
6.
Solve the formula y  mx  b for x.
8.
Suppose a triangle has base 10 centimeters and area 35 square centimeters. What is
1
the triangle’s height? (Note: Area of a triangle is given by A  bh .)
2
9.
46 is 25% of what number?
10.
Due to a lack of funding, the number of students enrolled a City College went from
8,000 to 7,000 this year. Find the percent of decrease in enrollment.
In problems 11-12, solve the inequality. Write your answer in interval notation.
11.
1
2x
 3
3
12.
5(1  2 x)  7  2( x  4)
Note: You may use a calculator on problems 13-21.
13.
Convert 500 meters into miles. (Note: 1 meter = 3.28 feet, 1 mile = 5280 feet)
14.
A can of tennis balls is in the shape of a cylinder with height 8 inches and diameter 3
inches. The can holds 3 tennis balls, each with diameter 2.6 inches. How much empty
space is in the can? Round to the nearest tenth, and include units in your answer.
In problems 15-21, solve the application problem. Remember, you must use an equation to
find the answer!
15.
The number of women in an algebra class is 6 less than the number of men. If there are
32 students in the class, how many are women, and how many are men?
16.
The width of a rectangle is 5 times the length. The perimeter of the rectangle is 144
inches. Find the length and the width.
17.
A car repair bill came to $396, including $216 for parts and the remainder for labor. If
the cost of labor is $60 per hour, how many hours of labor did it take to repair the car?
18.
Two pages that face each other in a book have 93 as the sum of their page numbers.
What are the page numbers?
19.
After a 10% reduction, you buy a DVD player for $117. What was the price before the
reduction?
20.
In a triangle, the measure of the second angle is 15 more than twice the measure of
the first angle. The measure of the third angle exceeds that of the first angle by 25 .
What is the measure of each angle? (Remember that the sum of the three angles is
180 .)
21.
A student’s first two test grades were 87 and 91. What must the student earn on the third test
to have an average of at least 90?
Answers
1.
x=2
2.
No solution
3.
m=0
4.
x = -4
5.
all real numbers
6.
x
7.
h
8.
7 cm
9.
184
10.
12.5%
11.
[6, )
12.
(, 5 / 4)
13.
0.3 miles
14.
28.9 cubic inches
15.
19 men, 13 women
16.
Length 12 inches, width 60 inches
17.
3 hours
18.
46 and 47
19.
$130
20.
1st angle is 35 , 2nd is 85 , 3rd is 60
21.
at least 92
y b
m
3V
 r2