Math 50 : Elementary Algebra
This test is prepared for you to check how well you have prepared for this course.
1.
Solve: 3(5 x 2) 2 10 x

5[ x

(3 x

1)]
2.
Given B={-8, 0, 7, 15}, which element of the set B are greater than 7?
3.
Evaluate –(-17).
4.
Evaluate
 
30 .
5.
Write the given numbers in order from least to greatest.
 
26 , -(-8),

17 , -(5)
6.
18 is 72% of what number? Set up the equation before you solve for it.
7.
Solve

2 x

8 .
5
8.
Solve 5x-8x =13.
33
1
9.
Write %
3
as a fraction.
10.
Simplify C + 0.3C.
11.
Simplify R – 0.28R.
12.
Solve and graph the solution set of 5 x 4 4 x

8 .
13.
The daily high temperatures, in Celsius, during one week were recorded as follows: -3˚, -6˚, 4˚, 5˚, -7˚, 2˚, 0˚. Find the average daily high temperature for the week.
14.
Solve and graph the solution set of 3 x

17

5 x

1 .
15.
Solve 7 x

2( x 3) x 10 .
16.
Use the roster method to list the set of positive integers that are solutions of
13 8 x 2 6 x .
12.
Solve
2 ( 5 x

6 )
7

3 ( x

4 )
 x

2 .
13.
An adult and a child are on a see-saw 14 ft long. The adult weighs 175 lb and
the child weighs 70 lb. How many feet from the adult must the fulcrum be
1

2
placed so that the see-saw balances? (Equation: F x
1

F d
2
 x ) )
14.
A manufacturing engineering determines that the cost per unit for a compact
disc is $3.35 and that the fixed cost is $6180. The selling price for the
compact disc is $8.50. Find the break-even point. (Break-even means your
cost and your revenue are the same. Use the equation: Px = Cx + F)
15.
The pressure that a certain depth in the ocean can be approximated by the
equation P

1
2
D

15 , where P is the pressure in pounds per square inch,
and D is the depth in feet. Find the depth of a diver when the pressure on the
diver is 45 lb/sq.in.
16.
If 4 3 a 7 2(2 a

5) , evaluate a
2 
7 a . (First solve for a, then evaluate.)
17.
To receive a B grade in a history course, a student must correctly answer 75
of the 90 questions on an exam. What percent of the questions must a student
answer correctly to receive a B grade? ( Give the exact percent in fraction
form .)
18.
Translate into a variable expression. [ Do not simply.]
(a) the sum of a number divided by two and the number.
(b) three less than the sum of a number and ten.
(c) three-fourths of the sum of sixteen times a number and four.
(d) the quotient of two and the sum of a number and five.
(e) a number multiplied by the difference between twice the number and nine.
(f) A wire whose length is given as x inches is bent into a square. Express the length of a side of the square in terms of x.
(g) The sum of two numbers is 20. Express the two numbers in terms of the same
variable.
(h) Twelve more than a number added to the difference between the number and
six.
19.
Simplify 2 x

3[ x

2(4 2 )] .
20.
Simplify
1
3
( 3 x
 y )

2
3
( 6 x

21.
Simplify -3 [ 2x - (x+7) ]. y ) .
22.
Two joggers start at the same time from opposite ends of an 8-mile jogging
trail and begin running toward each other. One jogger is running at a rate of
5mph, and the other jogger is running at a rate of 7 mph. How long, in
minutes, after they start will the joggers meet? ( Use d = rt . )