Algebra A review

Front

What is the definition of slope in a linear equation?

Back

The slope of a line is a measure of its steepness, typically represented as 'm' in the equation of a line, defined as the ratio of the rise (change in y) over the run (change in x).

Tags

CCSS.8.EE.B.5

Front

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

Back

The slope (m) is calculated using the formula: m = (y2 - y1) / (x2 - x1).

Tags

CCSS.8.EE.B.5

Front

What does a slope of zero indicate about a line?

Back

A slope of zero indicates that the line is horizontal and there is no change in y as x changes.

Tags

CCSS.8.EE.B.5

Front

What does an undefined slope indicate about a line?

Back

An undefined slope indicates that the line is vertical, meaning there is no change in x as y changes.

Tags

CCSS.8.EE.B.5

Front

Solve for x: 4(-6 - 8x) = -2x + 6

Back

x = -1.

Tags

CCSS.8.EE.C.7B

Front

What is an equivalent form of the equation 5 + 3x - 2 = 0?

Back

3x = 2 - 5.

Tags

CCSS.8.EE.C.7A

Front

What is the slope of the line represented by the equation y = -4x + 2?

Back

The slope is -4.

Tags

CCSS.8.EE.B.5

Front

What is the y-intercept in the equation y = mx + b?

Back

The y-intercept (b) is the value of y when x = 0, representing where the line crosses the y-axis.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

If a line passes through the points (2, 3) and (4, 7), what is the slope?

Back

The slope is 2.

Tags

CCSS.8.EE.B.5

Front

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

Back

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

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3