Algebra Final Review Practice

Write the equation of the line through the points (0,1) and (2,-3).

• y = x - 1

• y = -x -1

• y = -2x +1

• y = -x +1

Write the equation of the line.

• y = 4x - 5

• y = -5x + 4

• y = -4x - 5

• y = x + 4

A family membership at a swimming pool costs a flat fee of $100, plus $50 per person. If n stands for the number of people, then the membership cost is modeled by

• C = 50n + 100

• C = 100n + 50

• C = 100 + 50 + n

• C = 150n

Find the intersection of the lines y = 3x + 5 and y = –x + 1.

• (1, 1)

• (1, 2)

• (–1, 1)

• (–1, 2)

What is the equation of a vertical line through (-2, 5)?

• A) x = -2

• B) y = 5

• C) x = 5

• D) y = -2

What is the equation of a horizontal line through (0, -1)?

• A) y = 0

• B) x = 0

• C) y = -1

• D) x = -1

What is the relationship between the slopes of two parallel lines?

• A) There is no general relationship, because the y-intercepts can be different.

• B) One slope is the negative of the other.

• C) They are equal.

• D) One slope is the reciprocal of the other.

What is the relationship between the slopes of two perpendicular lines?

• A) There is no general relationship, because the y-intercepts can be different.

• B) One slope is the reciprocal of the other.

• C) They are equal.

• D) One slope is the opposite reciprocal of the other.

Write the equation of the line in slope-intercept form through the points (4,2) and (-4, -3)

• y = 8 /5 x − 1/2

• y = 8/5x + 1/2

• y = -5/8x - 1/2

• y = 5/8x - 1/2

What is the solution to the system of equations: y = 2x - 1 ; y = -x + 5

• A. (-2, -3)

• B. (-3, 2)

• C. (3, 2)

• D. (2, 3)