MTH95
Review for Exam #3
Name_______________________________
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1
1) Evaluate 19 5 . Approximate to the nearest hundredth.
3) Use a positive rational exponent to simplify
5
2) Write x

5
6
in radical notation.
32x 3 .
For 4 – 5, simplify the expression.
4)
3
24  3 81
6) Multiply and simplify:
8) Evaluate
3
5)
 10  7 10  7.
x 2  80 for x  4 .
20  6 125  3 5
7) Rationalize the denominator:
9) Find the domain of
2x  8  8
11)
6
5  4 x . Write your answer in interval notation.
For 10 – 11, solve the equation.
10)
5
2x  1  x  1
12) Solve A 
hb1  b2 
for b1
3
13) The distance D in miles to the horizon can be estimated by D ( h)  1.22 h , where
ground in feet. How high does a person need to be to see 19 miles?
14) Use i to simplify:
 75 .
For 15 – 16, write the expression in standard form.
15) 5  4i   2  9i 
16) 5  4i 3  8i 
For 17 – 19, use the graph.
17) What is the vertex?
19) What is the maximum y-value?
18) What is the axis of symmetry?
h is the height of the person above the
For 20 – 21, use the graph of f .
20) Where is the graph of f increasing?
21) Where is the graph of f decreasing?
22) Graph y   x  4 x  1
2
23) The height of a projectile, in feet, after being fired from a gun is given by h  16t  120t  130 , where
seconds. What is the maximum height of the projectile and when will that maximum height occur?
2
24) State the transformation used when comparing the graph of
25) Graph f ( x )  2 x  5  6 .
2
f ( x)  x 2 to f ( x)  4 x  5  3
2
t it the time in
26) Write the equation y  3 x  12 x  5 in vertex form.
27) Solve 3x  16 x  35  0 by factoring.
2
2
28) Use the square root property to solve 6 x  384 .
29) Solve x  6 x  41  0 by completing the square.
2
2
30) The function d (t )  41  16 t models the distance above the ground an object is after
the ground? Round your answer to the nearest tenth of a second.
2
t seconds. When will the object hit
For 31 – 32, use the quadratic formula to solve.
31) x  6 x  25  0
2
32) x  10x  23  0
2
33) An object thrown from the ground can be modeled from the equation h  108t  18t , where h is the height of the object in
feet and t is the time in seconds. At what two different times will the object be 50 feet high? Round your answers to the
nearest tenth of a second.
2