Alg 1 ACP Review 1

Front

If y varies directly as x, what is the formula to express this relationship?

Back

y = kx, where k is the constant of variation.

Front

What is the constant of variation in the direct variation equation y = kx when y = 24 and x = 6?

Back

k = 4.

Front

If y = 24 when x = 6, what is y when x = 3 in a direct variation?

Back

y = 12.

Front

How do you convert the equation 4x - 2y = 20 into slope-intercept form?

Back

Rearrange to get y = 2x - 10.

Front

What is the slope of the line represented by the equation y = 2x + 3?

Back

The slope is 2.

Front

What is the equation of a line parallel to y = 2x + 3 that passes through the point (3, 1)?

Back

y = 2x - 5.

Front

What is the domain of the function represented by the ordered pairs (52,3), (72,4), (86,5), and (105,6)?

Back

{52, 72, 86, 105}.

Front

What does it mean if an equation has 'no solution'?

Back

It means that there are no values of the variables that satisfy the equation.

Front

What is the slope-intercept form of a linear equation?

Back

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

Front

How do you find the y-intercept of the equation 4x - 2y = 20?

Back

Set x = 0 and solve for y, yielding y = -10.