DSPM 0850 TEST 1 Review
Evaluate.
1) 140 + (-7)0
2) (-2)0
Simplify the expression. Use positive
exponents. Assume variables represent
nonzero real numbers.
3) x2y-3 2
x-3y4
4) t z -
4
t -3z
-4
5) 3p-2q
2-1m3
2
Factor completely.
6) 81x2 - 25
7) 10x2 - 35x - 20
8) 5y - 20 + yp - 4p
9) x2 - 12x + 144
10) 12x2 - 36x + 27
11) x2 + 2xy - 8y2
12) 6y2 + 17y + 12
Find the numerical value of the expression
for the given value of x.
13) 7 x + 9
3x
2 + 2 x + 1 , x = -4
Find all values that make the expression
undefined.
14) x2 - 81
x2 - 10x + 16
15) 9y - 2
y2 - 16
Write the expression in lowest terms.
16) y2 + 4y - 12
y2 - 2y - 48
17) m2 - 25m
25 - m
18) a2 - 2a
(a + 5)(a - 2)
Find the reciprocal.
19) y + 5
y
20) n2 + 7n - 3
n2 - 8n
Perform the indicated operation. Write the
answer in lowest terms.
21) 4p - 4
p œ 5p2
8p - 8
22) k2 + 15k + 56
k2 + 16k + 63 œ k2 + 9k
k2 + 6k - 16
23) 2(k - 7)2
18(k + 7) œ 6(k + 7)2
6(k - 7)
24) x2 + 9x + 14
x2 + 4x +4 d x + 7
x + 2
Find the least common denominator (LCD).
25) 1
30x , 1
6y , 6
45xy
26) 9
t , 8
t + 1
1
