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Evaluating Functions and Systems of Linear Equations and Inequalities

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(See attached file for full problem description)
1. Graph f(x) = -2x + 2.

2. Rewrite the equation -x - 10y = 50 as a function of x.

3. Given f(x) = 5x2 - 3x + 1, find f(-2).
A) -13
B) 15
C) -25
D) 27

4. Given f(x) = 4x - 5, find f(a - 1).
A) 4a - 9
B) 4a - 6
C) a - 2
D) a - 9

5. Graph the inequality.
2x + 3y > 6

6. Are the following lines parallel, perpendicular, or neither?
L1 with equation x - 6y = 30
L2 with equation 6x + y = 6
A) Parallel
B) Perpendicular
C) Neither

7. Given g(x) = 4x - 3, find g(3a).

8. Graph the inequality.
x  2

9. Given f(x) = x2 - x + 7, find f(0).

10. Given f(x) = 4x + 4, find f(0).

1. Solve the system by addition.
5x - 3y = 13
4x - 3y = 11

2. The sum of two numbers is 90. The second is 10 more than 4 times the first. What are the two numbers?

3. Solve the system by graphing.
x + y = 4
-x + y = 2

4. Solve the following system of linear inequalities by graphing.
x - y  3
x + 2y  6

5. Solve the system by addition or substitution.
3x + 6y = 0
x =

6. Adult tickets for a play cost $17 and child tickets cost $8. If there were 24 people at a performance and the theater collected $363 from ticket sales, how many children attended the play?
A) 4 children
B) 5 children
C) 6 children
D) 19 children
7. Solve the following system of linear inequalities by graphing.
3x + 4y  12
x + 3y  6
x  0
y  0
A)
B)
C)
D)

9. Solve the system by graphing.
2x + y = 4
x + y = 3

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https://brainmass.com/math/linear-algebra/131800

Solution Preview

Please see the attached file for details.

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Please help with the following :
(See attached file for full problem description)
1. Graph f(x) = -2x + 2.

2. Rewrite the equation -x - 10y = 50 as a function of x.

As -x - 10y = 50, we get
y= -0.1x-5

3. Given f(x) = 5x2 - 3x + 1, find f(-2).
A) -13
B) 15
C) -25
D) 27

As , (D) is the answer.

4. Given f(x) = 4x - 5, find f(a - 1).
A) 4a - 9
B) 4a - 6
C) a - 2
D) a - 9

As , (A) is the answer.

5. Graph the inequality.
2x + 3y > 6

6. Are the following lines parallel, perpendicular, or neither?
L1 with equation x - 6y = 30
L2 with equation 6x + y = 6
A) Parallel
B) Perpendicular
C) Neither
As ...

Solution Summary

Evaluating Functions and Systems of Linear Equations and Inequalities are investigated. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.

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