Download Exam 3: Chapters 8 and 9

Student: _____________________
Date: _____________________
Instructor: Tony Silvestri
Course: MAT-097-E60 Spring 2017
Algebra 2 Th 5:30pm
Assignment: Exam 3: Chapters 8 and 9
1. Simplify.
6
7
6
=
7
(Rationalize the denominator. Type an exact answer, using radicals as needed.)
2. Solve.
y+5 =2
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. y =
(Simplify your answer. Type an integer or a fraction.)
B. There is no solution.
3. Multiply. Simplify, if possible.
3r •
5r
3r • 5r =
(Simplify your answer. Type an exact answer, using radicals as needed.)
4. Simplify the following expression.
2 6
7x y
9
2 6
7x y
=
9
(Type an exact answer, using radicals as needed. Use integers or fractions for any numbers in the expression.)
5.
Graph the equation.
2
y = x − 4x + 4
Use the graphing tool on the right to graph the equation.
6. Add. Simplify by collecting like radical terms, if possible.
5 2 +4 2
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The answer is
.
(Type an exact answer, using radicals as needed.)
B. The expression cannot be simplified.
7.
2
Write the equation in the form ax + bx + c = 0 such that the
2
coefficient of the x -term continues to be negative. Then
identify the values of a, b, and c. Do not actually solve the
equation.
a=
(Type an integer or a fraction.)
b=
(Type an integer or a fraction.)
2
− x + 7x = 9
c=
(Type an integer or a fraction.)
8. Solve the equation.
3x + 4 =
6x − 8
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. x =
(Simplify your answer.)
B. There is no solution.
9.
Solve by using the square root property.
2x2 = 18
Select the correct choice below and, if necessary, fill in the
answer box to complete your choice.
A. x =
(Simplify your answers. Use a comma to
separate answers. Type an exact
answer, using radicals as needed.)
B. The solution is not a real number.
10. Find the axis of symmetry and the vertex of the graph of the following equation.
y = 20 − 6x + x
The vertex is
2
. (Type an ordered pair.)
Choose the equation of the axis of symmetry.
A. y = 3
B. y = 11
C. x = 11
D. x = 3
11. Solve by using the quadratic formula.
2
2x + x − 1 = 0
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. x =
(Simplify your answer. Type an exact answer, using radicals as needed. Use a comma to
separate answers as needed)
B. The solution is not a real number.
12. Perform the indicated operation. Assume that all variables represent nonnegative real numbers.
− 5 18r + 6 50r
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. − 5 18r + 6 50r =
(Type an exact answer, using radicals as needed.)
B. The expression cannot be simplified.
13. Solve the formula for the indicated variable. Rationalize any denominators.
kI
F=
for r
2
r Choose the correct formula.
A.
r=
B.
kI
r= ±
F
kIF
C.
F
r= ±
kI
D. Not Given
F
14. Combine and simplify, if possible.
−
28 + 5 7
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. − 28 + 5 7 =
(Type an exact answer, using radicals as needed.)
B. The expression cannot be simplified.
15. Multiply. Simplify, if possible.
6 +3
6 +2
6 +3
6 +2 =
(Simplify your answer. Type an exact answer, using radicals as needed.)
16.
Multiply.
(4 −
8 )(4 +
The answer is
8)
.
17.
Graph the quadratic equation.
y = 3x2 − x − 9
Choose the correct graph.
A.
B.
C.
D.
18. Simplify each expression, factoring out any perfect square.
3
24x
3
24x =
(Type an exact answer, using radicals as needed.)
19. Solve by using the square root property.
2x2 = 26
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. x =
(Simplify your answer. Type an exact answer, using radicals as needed. Use a comma to
separate answers as needed.)
B. The solution is not a real number.
20. Simplify. Assume all variables and radicands represent nonnegative real numbers.
3x
3x
2
=
2
1. 6 7
7
2. A. y =
−1
(Simplify your answer. Type an integer or a fraction.)
3. r 15
4. xy3 7
3
5.
6. A. The answer is
9 2
.(Type an exact answer, using radicals as needed.)
7. − 1
7
−9
8. A. x =
4
9. A. x =
3, − 3
(Simplify your answer.)
(Simplify your answers. Use a comma to separate answers. Type an exact answer, using radicals as needed.)
10. (3,11)
D. x = 3
11. A. x =
− 1,
1
2
(Simplify your answer. Type an exact answer, using radicals as needed. Use a comma to separate answers as needed)
12. A. − 5 18r + 6 50r =
13.
B. r = ±
14. A. −
15 2r
(Type an exact answer, using radicals as needed.)
kIF
F
28 + 5 7 =
3 7
(Type an exact answer, using radicals as needed.)
15. 12 + 5 6
16. 8
17.
A.
18. 2x 6x
19. A. x =
13 , −
13
(Simplify your answer. Type an exact answer, using radicals as needed. Use a comma to separate answers as needed.)
20. 3x