Download Math 017 Exam 2

Math 017 Review for Exam 2 of 4
1. Solve for x and on each step state the properties of real numbers and/or properties of equality used.
(a) 3(2x + 7) + 4 = 43
(b) x  7  19
(c) 6x  8  50
(d)
5x  20
2. Solve for x and check your answer by replacing x with your answer in the original equation:
(a)
2x  9  7 x  29 (b) 6x  8  16
(c)
2
5
x
3
6
3. Solve for x:
(a) 3x  5  5x  7
(c)
(e)
(g)
0.25x  3
42x  3  6  5x  8
(d) 5x  6  3x  10  2 x
(b)
32x  8  5  4x  9  2x
3
4
(d)
x  92  56
0.3x  0.8  0.9x  1
(h) 6  43  23x  7  5(3x  1)  6 x
(f)
52x  3  4x  9  8x  5
4. Solve
R 100  x 
for x.
100
(c) P  2L  W  for W.
(a)
D
5. Solve for x and sketch the graph on the number line.
(a) 4x  3  6x  3
(b)  2x  14
(c)  8  2x  3  15
(d) 6x  1  5
6. Using the graph below:
(a) estimate the stock price at 1pm.
7. Plot and label the points
(b)
A  P1  rt  for t.
(d)
C  5F  32 / 9 for F.
or
2x  8  3x  1
(b) estimate the time of the highest stock price.
A3,4, B4,1, C  6,2, D0, 2 12 , E 5,0 .
8. Plot at least 5 points and sketch the graph.
(a)
y  x2  5
(b) y  2 x  4
(c) y 
1
x2
(d) y  3
Math 017 Review for Exam 2 of 4
9. Use algebra to solve the following.
(a) 52 is 13% of what number?
(c) 55 is what percent of 80?
(b) What is 38% of 65?
(d) 45 is 12% of what number?
(e) If a restaurant bill including a 15% tip comes to $34.50 how much was the original bill?
(f) You sell newspapers for 70 cents each at a newsstand. You pay 54 cents for each newspaper sold and
you also pay $200 to rent the newsstand. How many newspapers do you need to sell in order to break even?
(g) If a 54-inch pipe is cut into two pieces such that one piece is twice as long as the other how long is each piece?
(h) Find two consecutive integers such that twice the first integer added to three times the second integer is 88.