Maths Algebra Multiple Choice Problems

Question 1
Find the average rate of change of the function from x1 to x2.

f(x) = 3x from x1 = 0 to x2 = 5

A. -4

B. 8

C. 2

D. 3

Question 2

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

Question 3

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

f(x) = √x from x1 = 4 to x2 = 9

A. 1/5

B. 1

C. 2

D. 1/4

Question 4

Use the given conditions to write an equation for each line in point-slope form. Passing through (-8, -10) and parallel to the line whose equation is y = -4x + 3.

A. y + 10 = -4(x + 8)

B. y + 11 = 4(x2 + 8)

C. y - 12 = -5(x + 20)

D. y + 14 = -4(x - 5)

Question 5

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.

A. 5x + y - 22 = 0

B. 4x - y - 17 = 0

C. 4x + y + 20 = 0

D. 7x - y + 34 = 0

Question 6

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

Question 7

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

Question 8

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

Question 9
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

Question 10

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

y = 2x + 1

A. m = 3; b = 4

B. m = 5; b = 1

C. m = 6; b = 7

D. m = 2; b = 1

Question 11

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.

Question 12

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

f(x) = 3x + 5 if x < 0

4x + 7 if x ≥ 0

1. f(-2)
2. f(0)
3. f(3)

A. 1. -1
2. 7
3. 19

B. 1. -5
2. 9
3. 19

C. 1. -1
2. 7
3. 21

D. 1. 6
2. 7
3. 19

Question 13
5.0 Points

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.

Question 14

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

The graph of f passes through (-6, 4) and is perpendicular to the line that has an x-intercept of 2 and a y–intercept of -4.

A. f(x) = -1/2x + 1

B. f(x) = -1/5x + 3

C. f(x) = 1/5x - 3

D. f(x) = -2/5 x + 1

Question 15

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

x2 + y = 16

A. Y is not a function of x.

B. X is a function of y.

C. X is not a function of y.

D. Y is a function of x.

Question 16

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

A. 3x - 3y + 11 = 0

B. 2x - 3y + 10 = 0

C. 6x - 4y + 12 = 0

D. 2x - 5y + 15 = 0

Question 17
g(x) = x + 3 if x ≥ -3

-(x + 3) if x < -3

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

A. 1. -1
2. 7
3. 19

B. 1. 3
2. 3
3. 0

C. 1. -7
2. 9
3. 2

D. 1. 9
2. 7
3. 19

Question 18

g(x) = x2 + 2x + 3

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

A.
1. 2
2. x2 + 12x + 38
3. x2 - 2x + 3

B.
1. 4
2. x2 + 6x + 38
3. x2 - 3x +5

C.
1. 7
2. x2 + 7x + 56
3. x2+ 4x + 7

D.
1. 5
2. x2 -12x + 38
3. x2+ 5x + 7
Question 19 of 20
 5.0 Points

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

Question 20 of 20
 5.0 Points

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