Algebra 1 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 it mean for a system of equations to be consistent?

Back

A system of equations is consistent if it has at least one solution.

Front

What is the process to solve a linear equation for y?

Back

To solve for y, isolate y on one side of the equation, typically by moving other terms to the opposite side.

Front

What is the distributive property in algebra?

Back

The distributive property states that a(b + c) = ab + ac.

Front

How do you simplify the expression 9 - 4(8 - 3) + 10 ÷ 2?

Back

The simplified expression is -6.

Front

What is the solution to the equation 4(2x-5)=7(2x+4)?

Back

The solution is x = -8.

Front

What is the y-intercept of the equation y = -4/5x + 8?

Back

The y-intercept is 8.

Front

How do you convert the equation 4x + 2y = 16 into slope-intercept form?

Back

Rearranging gives y = -2x + 8.

Front

What is a linear equation?

Back

A linear equation is an equation that graphs a straight line and can be written in the form y = mx + b.