Download 098Review4

Math 098: Intermediate Algebra
TEST 4: Review
Instructor:_____________________
Instructions:
Name: _______________________________
Date:______________ Score: ____________
Show all necessary work in the working space provided. Write your final answer in the answer
space corresponding to the question.
QUESTION & WORKING
ANSWERS:
1.
Write as a simplified imaginary number:
 121
1.
2.
Write as a simplified imaginary number:
 72
2.
3.
Add and simplify:
4.
Multiply and simplify:
 7  8i    6  3i 
4i  3  2i
5.
Simplify, writing as a complex number:
6.
3.

4.
5.
2   20
4
Divide and write as a complex number in the form a + bi:
3  7i
2i
6.
7.
Solve
8.
Solve
x  42
 75 using the square root property.
x 2  8 x  6  0 by completing the square.
7.
8.
Simplify your answers but do not approximate the solutions.
9.
Use the quadratic formula to solve:
3 x 2  2x  3  0
9.
Simplify your answers but do not approximate the solutions.
10.
Find all solutions, real and imaginary, of the equation: t 4  7t 2  18
Math 098 Test 4 Review
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10.
11.
Solve for x:
x7  x5
11.
12
Solve for x:
3x  1  x  1  2
12.
13.
Find all solutions, real and imaginary, of the equation:
Math 098 Test 4 Review
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x
12
x2
3
4
x
13.
14.
14.
Given the function f ( x )  4x 2  3 find
(a)
(a) f(1)
(b)
(b) f(0)
(c)
(c) f(-1)
15.
Find the domain and range for the function graphed below
.
5 y
–5
15.
Domain
_________________
5
Range
__________________
x
–5
16.
Which of the following is a function?
16.
A. {(-5,-3), (-3,-5), (5,5)}
B. {-5, -3, 1, 5}
C. {(-5,-3), (1,5), (1,-5), (5,1)}
D. {(-5,-3), (-3,1), (-5,5)}
17.
If a rocket is launched vertically upward from ground level with an initial velocity of
96 feet per second, then its height h after t seconds is given by the equation
h  16t 2  96t . What is the maximum height reached by the rocket?
Math 098 Test 4 Review
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17.
18.
Graph the parabola: y   x 2  6
19.
Graph:
y  x  12  2
20.
Graph:
y  2x 2  8 x  1
Math 098 Test 4 Review
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Answers
1.
11i
2.
6i 2
3.
13  11i
4.
8  12 i
5.
1
2
6.
 51  17
i
5
7.
x  4  5 3 or 4  5 3
8.
x  4  22
9.
1
3
10.
3,  3, i 2 ,  i 2
11.
x  3
12.
x  1 or x  5
13.
x  3, 2i , or  2i
14.
(a) 1, (b)
15.
Domain is all real numbers


18.
5
2
i
2 2
3
i
or
or
19.
 4  22
1
3

2 2
3
i
20.
-3, (c) 1
1
1
Range is y ≥ -3
16.
A
1
17.
144 ft
1
Math 098 Test 4 Review
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