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# Several algebra problems

I need help answering these questions. I have attached the questions that I need help with. Please explain your answers in detail.

1.
Given f(x) = 3x + 5, find f(a - 1).
A)
3a + 2
B)
3a + 4
C)
a + 7
D)
a + 2

2.
Graph f(x) = 3x + 2.
A)

B)

C)

D)

3.
Rewrite the equation 4x - 10y = 11 as a function of x.
A)

B)

C)

D)

4.
Write the equation of the line that passes through point (0, -4) with a slope of 6.
A)
y = -4x + 6
B)
-4x + 6y = 0
C)
y = 6x - 4
D)
6y = -4

5.
Find the slope and y-intercept.
-9x + 6y = 54

6.
Find the slope of any line perpendicular to the line through points (3,11) and (10,4).
A)
1
B)
0
C)
2
D)
undefined

7.
One day, the temperature at 4:00 A.M. was 43°F, and by 5:00 P.M. the temperature was 56°F. What was the hourly rate of temperature change?
A)
0°F/h
B)
1°F/h
C)
2°F/h
D)
3°F/h

8.
Write the equation of the line passing through (-4, -2) and (-2, -6).

9.
Graph the inequality.
y > -5

A)

B)

C)

D)

10.
Are the following lines parallel, perpendicular, or neither?
L1 through (-4, -7) and (1, 3)
L2 through (2, 6) and (4, 10)
A)
Parallel
B)
Perpendicular
C)
Neither

#### Solution Summary

This solution includes step by step solution to all the problems.

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