Name: _____________________
Math 0308
Exam #1 Review (Sections 1.6, 2.1-2.3, 2.5-2.7)
(Do not use a calculator on this review!)
1. Evaluate 5 x 2 7 xy
y 2 for x 5, y
1.
Answer: __________________
3x 4
2. Evaluate
x 9
5x 7
for x
x 3
4.
Answer: __________________
3. Simplify 7(2 x 4) (3 x 17) .
Answer: __________________
4. Simplify 0.3(2 x 9) 0.4(5 x 1) .
Answer: __________________
5. Simplify
2
1
( x 4)
(3 x 5) .
3
4
Answer: __________________
6. Simplify 7 x 7[4(2 x 1) ( x 3)] .
Answer: __________________
When solving the following equations, don’t forget to check your solutions!
7. Solve 3 x 7 12 x
4 13 x 2 .
Answer: __________________
3
1
x 2
8. Solve x
4
3
1
5
x
2
6
1
x 1.
4
Answer: __________________
9. Solve 5(2 x 4) 3( x 1) 6(2 x 1) 2(2 x 6) .
Answer: __________________
10. Solve 3(2 x 8) ( x 9)
x 4(5 x) 2 x(6) .
Answer: __________________
11. Solve 4[3(2 x 4) 2( x 1)] 5[2(2 x 1) ( x 2)] .
Answer: __________________
12. Solve
1
3
x
.
4
Answer: __________________
13. Solve 8(3 x 1) 5 2 x 3 .
Answer: __________________
14. Solve
4
x
7
3
.
8
Answer: __________________
15. Solve
2
(6 x 4)
3
1
(7 x 5) .
2
Answer: __________________
16. Solve
3
3
(6 x 1)
( x 2)
4
2
3
1
x
.
4
3
Answer: __________________
17. Solve 2(9 x 7) 2
3(4 6 x) .
Answer: __________________
In the following problems, write your answer in a complete sentence.
18. Find three consecutive odd integers whose sum is 21.
Answer: _____________________________________
19. A 43-inch board is cut into three pieces. The second piece is one-half as long as the first piece.
The third piece is 7 inches longer than the second piece. How long is each piece?
Answer: _____________________________________
20. The perimeter of a rectangle is 36 feet. The length of the rectangle is 2 feet more than three times
the width. What are the dimensions of the rectangle?
Answer: _____________________________________
21. Melissa has $220 in $1 bills, $5 bills, and $10 bills. The number of $1 bills is three times the
number of $5 bills. There are four fewer $5 bills than $10 bills. How many of each type of bill
does she have?
Answer: _____________________________________
22. Michael has $7.95 in dimes and quarters. He has a total of 39 coins. How many dimes and how
many quarters does he have?
Answer: _____________________________________
23. Scott has $3.40 in nickels, dimes and quarters. There are three times as many nickels as quarters
and one more nickel than dimes. How many of each type of coin does he have?
Answer: _____________________________________
Solve each of the following inequalities, and graph each solution set on a number line.
24. 5 4 x
Answer: __________________
25. 1 x 2 3
Answer: __________________
26. 6 x 3 2(3x 7)
Answer: __________________
27.
5
x
2
4
3
Answer: __________________
28. 4
1
x
4
3
1
x
5
3
Answer: __________________
29. 2 x 7 8 x 3 3 x 1
Answer: __________________
30. 4(5 x 7) 2 5(4 3 x)
Answer: __________________
31.
3
10
3x
4
5
3
Answer: __________________
32. 5 6 x 1
2
Answer: __________________