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Math 50 : Elementary Algebra
Test 1:
Name : _____________________
(1) Circle your answers.
(2) Start with problems that you are comfortable with first.
(3) Use a ruler to graph a straight line.
(4) You are allowed to use a scientific calculator, but you have to show each step
clearly.
(5) You have to use the method we learned in algebra to solve the problems.
If you only give a guessed answer, you will not get any credit.
Number
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
Points Your score Comment
5
5
6
6
5
5
5
6
5
5
5
6
5
16
5
5
5
Total
100
Your test 1 score = __________________________
Your approximated course grade = ____________________
Early warning: If we did not perform well on this test, we need to get help immediately.
Don’t wait till it’s too late.
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1. [5] Solve: 3(5 x  2)  2  10 x  5[ x  (3x  1)]
2. [5] 18 is 72% of what number?
Set up the equation:
3. [6] Solve and graph the solution set of 5x  4  4x  8 .
4. [6] Solve and graph the solution set of 3x  17  5x 1 .
5. [5] Solve 7 x  2( x  3)  x  10 .
6. [5] Use the roster method to list the set of positive integers that are solutions of
13  8x  2  6x .
7. [5] Solve
2(5 x  6)  3( x  4)
 x  2.
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8. [6] 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
placed so that the see-saw balances? (Equation: F1 x  F2 (d  x) )
9.
[5] 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)
10. [5] The pressure that a certain depth in the ocean can be approximated by the
equation P  12 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.
11. [6] If 4  3a  7  2(2a  5) , evaluate a 2  7 a . (First solve for a, then evaluate.)
12. [6] 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.)
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13. [16] 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.
14. [5] Simplify 2 x  3[ x  2(4  2 x)] .
15. [5] Simplify
1
2
(3 x  y )  (6 x  y ) .
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3
16. [5] Simplify -3 [ 2x - (x+7) ].
17. [6] 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. )
Jogger A |
 | Jogger B
What is the variable(quantity) you are interested in this problem? (in words)
Use a letter to represent it. ________
Equation: