Final Exam Review - Algebraic Reasoning

Which of the following is the correct graph of the line 3x + y = -5?

• A line passing through points (0, -5) and (-5/3, 0)

• A line passing through points (0, 3) and (5, 0)

• A line passing through points (0, 5) and (3, 0)

• A line passing through points (0, -3) and (-5, 0)

Sketch the graph of the line: y = -2/5x - 4.

• A line with a slope of -2/5 passing through the point (0, -4).

• A line with a slope of 2/5 passing through the point (0, 4).

• A line with a slope of -5/2 passing through the point (0, -4).

• A line with a slope of 5/2 passing through the point (0, 4).

What is the slope-intercept form of the equation of the line: 8x + y = -6?

• y = -8x - 6

• y = 8x - 6

• y = -8x + 6

• y = 8x + 6

What is the graph of the line -y = 0?

• A horizontal line through the origin

• A vertical line through the origin

• A diagonal line with a positive slope

• A diagonal line with a negative slope

Solve each system by graphing. 6) y = 2, 4x - y = 6. What is the solution to the system?

• (2, 2)

• (1, 2)

• (3, 2)

• (0, 2)

Aria is planning a party and needs to buy decorations and snacks. She has two equations to determine how many of each she can buy: 5x - 2y = -2 and x - 2y = 6. Solve the system by graphing. What is the solution to the system of equations?

• (2, 4)

• (0, -3)

• (4, 1)

• (-2, -1)

Solve each system by graphing. 7) y = (1/3)x - 2, y = (1/3)x + 3

• The lines intersect at (0, -2)

• The lines intersect at (0, 3)

• The lines are parallel and do not intersect

• The lines intersect at (3, 0)

Solve each system by graphing. 8) y = (-2/3)x - 1, y = -2x + 3

• (-3, 1)

• (0, -1)

• (3, -3)

• (2, -1)

Write the slope-intercept form of the equation of each line. 9) [Graph with a line]

• The question has a diagram associated with it. The diagram has been stored separately.

• y = 2x + 3

• y = -x + 5

• y = 0.5x - 2

Write the slope-intercept form of the equation of each line. 10) [Graph with a line]

• The slope-intercept form of a line is given by the equation y = mx + b, where m is the slope and b is the y-intercept.

• The slope-intercept form of a line is given by the equation y = b + mx, where m is the slope and b is the y-intercept.

• The slope-intercept form of a line is given by the equation x = my + b, where m is the slope and b is the y-intercept.

• The slope-intercept form of a line is given by the equation y = b - mx, where m is the slope and b is the y-intercept.