review for flashcard - systems

Front

Convert the equation 3x - 2y = 5 to slope-intercept form.

Back

y = (3/2)x - (5/2)

Front

Convert the equation 7x - 2y = 12 to slope-intercept form.

Back

y = (7/2)x - 6

Front

Convert the equation x - 4y = 4 to slope-intercept form.

Back

y = (1/4)x - 5

Front

Convert the equation 4x + y = -7 to slope-intercept form.

Back

y = -4x - 7

Front

If the price of the math textbook, t, is $8 more than 3 times the price of the novel, n, and the total cost is $54, write the system of equations.

Back

t + n = 54, t = 3n + 8

Front

What is the slope of the line represented by the equation y = (3/2)x - (5/2)?

Back

The slope is 3/2.

Front

What is the y-intercept of the line represented by the equation y = (7/2)x - 6?

Back

The y-intercept is -6.

Front

What does the slope represent in a linear equation?

Back

The slope represents the rate of change of y with respect to x.

Front

How do you find the x-intercept of the equation 4x + y = -7?

Back

Set y = 0 and solve for x: 4x = -7, x = -7/4.

Front

What is the general form of a linear equation?

Back

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