Algebra Staar Review

How do you calculate the slope between two points (x1, y1) and (x2, y2)?

• m = (y2 - y1) / (x2 - x1)

• m = (x2 - x1) / (y2 - y1)

• m = (y1 + y2) / (x1 + x2)

• m = (y1 - y2) / (x2 - x1)

What is the standard form of a linear equation?

• Ax + By = C, where A, B, and C are integers.

• y = mx + b, where m is the slope and b is the y-intercept.

• Ax^2 + Bx + C = 0, which is the standard form of a quadratic equation.

• y = A sin(Bx + C), which is the standard form of a sinusoidal function.

What is the slope of a line?

• The slope of a line measures its steepness and is calculated as the change in y divided by the change in x (rise over run).

• The slope of a line is the angle it makes with the x-axis.

• The slope of a line is always a positive number.

• The slope of a line is the distance between two points on the line.

What is the slope of the line that passes through the points (2, 4) and (6, 12)?

• 1

• 2

• 3

• 4

What does it mean for a relation to not be a function?

• A relation is not a function if at least one x-value is associated with more than one y-value.

• A relation is not a function if all x-values are unique.

• A relation is not a function if it contains only one pair of values.

• A relation is not a function if it is represented graphically as a straight line.

What is the y-intercept of a line?

• The point where the line crosses the x-axis, represented as (a, 0) in the equation y = mx + b.

• The point where the line crosses the y-axis, represented as (0, b) in the equation y = mx + b.

• The slope of the line in the equation y = mx + b.

• The distance from the origin to the line.

How do you graph a point (x, y) on a coordinate grid?

• Start at the origin (0,0), move x units right (or left if negative), then move y units up (or down if negative).

• Begin at the point (x,y) and draw a line to the origin.

• Move y units right (or left if negative), then move x units up (or down if negative).

• Start at the point (0,0) and move diagonally to (x,y).

What is the solution to the equation 2x - 3 + 4x = 27?

• x = 3

• x = 4

• x = 5

• x = 6

How do you determine if a relation is a function?

• A relation is a function if every x-value has only one corresponding y-value.

• A relation is a function if every y-value has only one corresponding x-value.

• A relation is a function if it contains at least one ordered pair.

• A relation is a function if it is represented by a straight line.

How do you find the y-intercept of the equation 2x + 3y = 6?

• Set x = 0 and solve for y: 3y = 6, so y = 2.

• Set y = 0 and solve for x: 2x = 6, so x = 3.

• Set x = 0 and solve for y: 3y = 0, so y = 0.

• Set y = 0 and solve for x: 2x + 0 = 6, so x = 6.