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1.Use the given conditions to write an equation for each line in general form.

Passing through (4, -7) and perpendicular to the line whose equation is x - 2y - 3 = 0.

A. 6x - y - 1 = 0
B. 4x + y + 1 = 0
C. 7x - y + 2 = 0
D. 2x + y - 1 = 0

2. Give the slope and y-intercept of each line whose equation is given.

y = -3/5x + 7

A. m = 3/4; b = -2
B. m = 6; b = 7
C. m = -3/5; b = 7
D. m = 1; b = 8

3. Find the average rate of change of the function from x₁ to x₂.

f(x) = x² + 2x from x₁ = 3 to x₂ = 5

A. 10

B. 15

C. 4

D. 25

4. Determine whether the function is odd, even, neither, or can’t be determined:

h(x) = x² – x⁴

A. Even
B. Odd
C. Neither
D. Can’t be determined

5.Evaluate each function at the given values of the independent variable and simplify.

f(x) = 4x + 5

1. f(6)
2. f(x + 1)
3. f(-x)

A. 1. 27
2. 5x + 9
3. -4x + 8

B. 1. 35
2. 4x + 9
3. -7x + 5

C. 1. 29
2. 4x + 9
3. -4x + 5

D. 1. 29
2. 3x + 8
3. 4x + 6

6. Write an equation in general form of the line passing through (3, -5) whose slope is the negative reciprocal (the reciprocal with the opposite sign) of –1/4.

7. Evaluate each piecewise function at the given values of the independent variable.

g(x)

x + 3 if x ≥ -3

-(x + 3) if x < -3

1. g(0)
2. g(-6)
3. g(-3)

8. Determine whether the function is odd, even, neither, or can’t be determined:

f(x) = x³ + x

A. Even
B. Odd
C. Neither
D. Can’t be determined

9. Give the slope and y-intercept of each line whose equation is given.

g(x) = -1/2x

A. m = 3/4; b = -2
B. m = 6; b = 7
C. m = -1/2; b = 0
D. m = 1; b = 8

10. Give the slope and y-intercept of each line whose equation is given.
f(x) = -2x + 1

A. m = 3; b = 4
B. m = -2; b = 1
C. m = 6; b = 7
D. m = 2; b = 1

11. Write an equation in slope-intercept form of a linear function f whose graph satisfies the given conditions.

The graph of f is perpendicular to the line whose equation is 3x - 2y - 4 = 0 and has the same y-intercept as this line.

A. f(x) = 2/3x – 4
B. f(x) = -2/5x – 6
C. f(x) = -2/3x – 2
D. f(x) = -2/7x + 8

12. Evaluate each function at the given values of the independent variable and simplify.

g(x) = x² + 2x + 3

1. g(-1)
2. g(x + 5)
3. g(-x)

13. Determine whether the following equation defines y as a function of x:

x + y = 16

A. Y is a function of x.
B. Y is not a function of x.
C. X is a function of y.
D. X is not a function of y.

14. Determine whether the following equation defines y as a function of x:

x² + y² = 16

A. Y is a function of x.

B. X is not a function of y.

C. X is a function of x.

D. Y is not a function of x.

15. Give the slope and y-intercept of each line whose equation is given.

f(x) = 3/4 x - 2

A. m = 3/4; b = -2

B. m = 6; b = 7

C. m = 2; b = 1

D. m = 8; b = 7

16.Write an equation in slope-intercept form of a linear function f whose graph satisfies the given conditions.

The graph of f passes through (-1, 5) and is perpendicular to the line whose equation is x = 6.

A. f(x) = 6

B. f(x) = 8

C. f(x) = 3

D. f(x) = 5

17. Use the given conditions to write an equation for each line in point-slope form.

Passing through (2, -3) and perpendicular to the line whose equation is y = 1/5 x + 6.