Practice Test 1A
Math 070
Sample Test 1A
1) Complete the table by putting an X in each appropriate box. An example is given for you.
|# |Natural |Whole |Integer |Rational |Irrational |Real |
| |No. |No. | |No. |No. |No. |
| | | | | | | |
|[pic] | | | | | | |
| | | | |X | |X |
| | | | | | | |
|-5 | | | | | | |
| | | | | | | |
|[pic] | | | | | | |
| | | | | | | |
|[pic] | | | | | | |
| | | | | | | |
|89 | | | | | | |
| | | | | | | |
|[pic] | | | | | | |
| | | | | | | |
|[pic] | | | | | | |
2) Identify the property illustrated by each expression:
a) 8 + (9 + 3) = (8 + 9) + 3
b) -6(2+4) = -6(2) + -6(4)
c) [pic](6) = 1
3) a) Find the opposite of -9
b) Find the reciprocal of [pic]
4) Simplify: 6[5 + 2(3 – 8) – 3]
5) Simplify: 4(x -2) – 3(2x – 6)
6) Solve for z: 4z + 1 – z = 1 + z
7) Solve for [pic]
8) Solve for [pic]
9) A gallon of water seal covers 200 square feet. How many gallons are needed to paint two coats of water seal on a deck that measures 20 feet by 35 feet?
10) Simplify each expression
a) [pic]
b) [pic]
c) [pic]
d) [pic]
11) Subtract [pic] from [pic]
12) Simplify
a) [pic]
b) [pic]
c) [pic]
13) Find each product
a) [pic]
b) [pic]
14) Find each quotient
a) [pic]
b) [pic]
c) [pic]
15) Solve for [pic]
16) How long will it take an Amtrak passenger train to catch up to a freight train if their speeds are 60 and 45 mph and the freight train had an hour and a half head start?
17) Solve for[pic]. Give answer in interval notation: [pic]
18) Solve for [pic]. Give answer in interval notation: [pic]
19) A $50,000 retirement pension is to be invested into two accounts: a money market fund that pas 8.5% and a certificate of deposit that pays 10.5%. How much should be invested at each rate in order to provide a yearly interest income of $4550?
Answers:
|# |Natural |Whole |Integer |Rational |Irrational |Real |
| |No. |No. | |No. |No. |No. |
| | | | | | | |
|[pic] | | | |X | |X |
| | | | | | | |
|-5 | | |X |X | |X |
| | | | | | | |
|[pic] | | | | |X |X |
| | | | | | | |
|[pic] | | | | | | |
| | |X |X |X | |X |
| | | | | | | |
|89 |X |X |X |X | |X |
| | | | | | | |
|[pic] | | | | | | |
| | | | | | | |
|[pic] | | | |X | |X |
1)
2) a) Associative property of addition
b) Distributive Law
c) Multiplicative inverse
3) a) 9
b) -3
4) -48
5) [pic]
6) 0
7) [pic]
8) No Solution
9) 7 gallons
10) a) 10
b) [pic]
c) [pic]
d) -6
11) [pic]
12) a) -11.1
b) [pic][pic]
c) [pic]
13) a) -0.36
b) [pic]
14) a) 6 b) -12 c) [pic]
15) [pic]
16) 4.5 hrs.
17) [pic]
18) [pic]
19) $35,000 @ 8.5%; $15,000 @ 10.5%
MATH 070
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