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INTERMEDIATE ALGEBRA EXAM 1 GR1 NAME _______________________ SHOW
ALL WORK ON THIS TEST OR ON SEPARATE PAPER.
Circle answers. TURN IN ALL WORKSHEETS. CALCULATORS ARE REQUIRED ON THIS TEST. In
1 - 4, evaluate the expressions: 1.
(−5 ) · (
−11 ) + 8 ·
(−8)
2. −2
[3 − 5(4) ] 3.
−42 −
62
4.
6a)
b)
c)
8.
Simplify according to the laws of exponents.
In
9 - 12, solve for x:
9. 4x
− (2 − 2x) =
6(x −
2) +
10 10.
4x − 6(3 − 2x)
= 4(x −
2) − 2(2 + 5 x) 11.
|2x – 3 | = –
7 12.
|2x – 3 | =
7
In
13 - 16, solve for x, graph on a numberline, and give answers in
interval notation. 13.
–2 x +6 ≤ 4
14.
15a)
x ≥ 6
and x
≥ –3
16a) x
≥ –4
and x
< 2
b) x
≥ 6
or x
≥ –3
b)
x ≥
–4 or
x < 2
17a).
(5x - 4y)2
17b)
[(5x – 4y) – 6] [(5x – 4y) + 4] In 18
- 20, an equation is required. Show
all work!! 18.
A box
contains nickels, dimes, and quarters worth a total of $16.75.
The number of dimes is twice the number of quarters, and the
number of nickels is 5 less than four times the number of dimes.
How many of each coin are there? 19.
A
woman invests $20,000, some at 6% and the rest at 9%.
If the total interest earned in one year is $1560, how much was
invested at each rate? 20. How much water must be added to 60 liters of 80% acid solution in order to dilute the solution to 20%? How much 20% solution will there be?
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