Download (9x−6) –(x−2) 12. Find two consecutive whole numbers such that the

Math 115, Chapters 1 and 2 Sample Exam
1. Perform the operations:
a) 2|−4−5|+52-50
2 5
−
15 12
3x 5 x
c)
−
a
a
b)
b) Subtract −3 from −5
C) Subtract −2x from 3−x and simplify
2. Evaluate the expression when x=−2, y=−1 and z=9
a) x3-2xy2
| −x − y + z |
2z
b)
3. Simplify: 1 (9x−6) –(x−2)
3
4. Simplify: − (7c3d-8c) −5c−4 c3d
5. Solve: 3(2t +1) = 4(3t − 2)
6. Solve: 3(n −10) − 5(n +12) = −86
3
x=
9
4
n 5n 1
8. Solve: +
=
3 6 8
x
2
9. Solve: − 1=
x −3
2
3
7. Solve: −
10. Solve: 0.25x+0.10(x-3)=0.05(22)
11. Solve:
5( x − 1) 3( x + 1)
=
4
2
12. Find two consecutive whole numbers such that the smaller number subtracted from five
times the larger number equals 57.
13. The sum of two numbers is 17. If twice the smaller number is 1 more than the larger
number, find the numbers.
14. The length of a rectangle is 2 inches less than twice its width. If the area of the rectangle
is 112 square inches, find the length of the rectangle.
15. 30 gallons of a 20% solution is needed for an experiment. Only 40% and 10% acid
solutions are available. How much of each should be mixed to form the needed solution?
16. How many quarts of a 10% salt solution must be mixed with 15 quarts of a 40% salt
solution to obtain a 20% salt solution?
17. Sandy leaves a town traveling in her car at a rate of 45 miles per hour. One hour later,
Monica leaves the same town traveling the same route at a rate of 50 miles per hour. How
long will it take Monica to overtake Sandy?
18. Ginny has a collection of 425 coins consisting of pennies, nickels, and dimes. She has 50
more nickels than pennies and 25 more dimes than nickels. How many pennies does she
have?