enVision PreAlgebra 8 Topic 2 Review

Front

What is 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.

Front

How do you find the slope of a line given two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1).

Front

What does a slope of 5 indicate about a line?

Back

A slope of 5 indicates that for every 1 unit increase in x, y increases by 5 units.

Front

What is the y-intercept of the line represented by the equation y = 5x - 2?

Back

The y-intercept is -2, which is the value of y when x = 0.

Front

How do you solve the equation 6 + 5x = 51 for x?

Back

Subtract 6 from both sides to get 5x = 45, then divide by 5 to find x = 9.

Front

What is an equivalent equation?

Back

An equivalent equation is one that has the same solution as the original equation.

Front

How do you distribute in the equation 3(5x - 2)?

Back

Distributing gives 15x - 6.

Front

What does it mean if an equation has no solution?

Back

It means that there are no values for the variable that will satisfy the equation.

Front

How do you isolate x in the equation 2x + 4.4 = 9.6?

Back

Subtract 4.4 from both sides to get 2x = 5.2, then divide by 2 to find x = 2.6.

Front

What is the first step in solving the equation -4(2x - 5) = -8(5 + x)?

Back

Distribute both sides: -8x + 20 = -40 - 8x.