Fall 24 Algebraic Reasoning Final Exam Review Part 1/2

Front

What is the solution to the system of equations represented by the points (1, -1), (-1, 1), (0, -2), (2, 0)?

Back

(1, -1)

Front

What is the cost equation for renting a car at Joe's Clown Car Rental Agency, where it costs $35 plus $0.75 for every mile driven?

Back

y = 0.75x + 35

Front

Write the equation of the line that passes through the point (3,1) and is parallel to the line y = 3x + 1.

Back

y = 3x - 8

Front

Convert the standard form equation 4x - 3y = 15 into slope-intercept form.

Back

y = (4/3)x - 5

Front

What is another term for the x-intercept?

Back

zeros

Front

What is the definition of slope in a linear equation?

Back

The slope is the ratio of the rise (change in y) to the run (change in x) between two points on a line.

Front

How do you find the y-intercept of a linear equation in slope-intercept form?

Back

The y-intercept is the value of y when x = 0.

Front

What does it mean for two lines to be parallel?

Back

Two lines are parallel if they have the same slope and will never intersect.

Front

What is the formula for the slope between two points (x1, y1) and (x2, y2)?

Back

m = (y2 - y1) / (x2 - x1) where m is the slope.

Front

What is the standard form of a linear equation?

Back

Ax + By = C, where A, B, and C are integers and A ≥ 0.