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Homework 24 - Section 8.1 #5
Intermediate Algebra / MAT 135 Fall 2016 possible master (Prof. Fleischner)
Student Name/ID:
1. Solve for v, where v is a real number.
11v − 18 = v
2. Solve for x, where x is a real number.
x = 11x − 30
3. Solve for u, where u is a real number.
u − 5 = 49 − 8u
4. Solve for u, where u is a real number.
−3u + 16 = u − 2
5. Solve u 2 = 25, where u is a real number.
Simplify your answer as much as possible.
2
ALEKS Homework 24 - Section 8.1 #5 - 04/30/2016 12:37 PM EDT - Copyright © 2016 UC Regents and ALEKS Corporation.
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6. Solve u 2 = 16, where u is a real number.
Simplify your answer as much as possible.
7. Solve u − 2 2 − 32 = 0, where u is a real number.
Simplify your answer as much as possible.
8. Solve v − 7 2 − 32 = 0, where v is a real number.
Simplify your answer as much as possible.
9. Fill in the blank to make the expression a perfect square.
w 2 − 4w +
10. Fill in the blank to make the expression a perfect square.
2
x − 12x +
ALEKS Homework 24 - Section 8.1 #5 - 04/30/2016 12:37 PM EDT - Copyright © 2016 UC Regents and ALEKS Corporation.
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11. Solve the quadratic equation by completing the square.
2
x + 18x + 68 = 0
First, choose the appropriate form and fill in the blanks with the correct numbers.
Then, solve the equation. If there is more than one solution, separate them with commas.
Form:
x
+
x −
2
2
=
=
Solution:
x =
12. Solve the quadratic equation by completing the square.
2
x − 10x + 10 = 0
First, choose the appropriate form and fill in the blanks with the correct numbers.
Then, solve the equation. If there is more than one solution, separate them with commas.
Form:
x
+
x −
2
2
=
=
Solution:
x =
ALEKS Homework 24 - Section 8.1 #5 - 04/30/2016 12:37 PM EDT - Copyright © 2016 UC Regents and ALEKS Corporation.
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Homework 24 - Section 8.1 #5 Answers for class Intermediate
Algebra / MAT 135 Fall 2016 possible master
1. v = 2, 9
2. x = 6, 5
3. u = 6
4. u = 4
5. u = 5, −5
6. u = 4, −4
7. u = 2 + 4 2 , 2 − 4 2
8. v = 7 + 4 2 , 7 − 4 2
9. w 2 − 4w + 4
10. x 2 − 12x + 36
11.
Form:
x
+9
x −
2
2
= 13
=
Solution:
x = −9
+
13 , − 9 −
13
ALEKS Homework 24 - Section 8.1 #5 - 04/30/2016 12:37 PM EDT - Copyright © 2016 UC Regents and ALEKS Corporation.
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12.
Form:
x
+
x − 5
2
2
=
= 15
Solution:
x =5
+
15 , 5 −
15
ALEKS Homework 24 - Section 8.1 #5 - 04/30/2016 12:37 PM EDT - Copyright © 2016 UC Regents and ALEKS Corporation.
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