Download Math 50 : Elementary Algebra

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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  (3x  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.
2x
 8.
7. Solve 
5
8. Solve 5x-8x =13.
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9. Write 33 % as a fraction.
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10. Simplify C + 0.3C.
11. Simplify R – 0.28R.
12. Solve and graph the solution set of 5x  4  4x  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 3x 17  5x 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  8x  2  6x .
12. Solve
2(5 x  6)  3( x  4)
 x  2.
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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
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placed so that the see-saw balances? (Equation: F1 x  F2 (d  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  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.
16. If 4  3a  7  2(2a  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 x)] .
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20. Simplify (3 x  y )  (6 x  y ) .
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21. Simplify -3 [ 2x - (x+7) ].
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. )