Algebra 1, Semester 1 Review

Front

What is the formula for calculating the slope of a line?

Back

Slope = rise/run

Front

What does a slope of -3/2 indicate about a line?

Back

The line is decreasing, moving downwards from left to right.

Front

What is the value of x that satisfies the equation 5x = 1?

Back

x = 1/5

Front

What does it mean for a system of equations to have no solution?

Back

The lines representing the equations are parallel and never intersect.

Front

What is the standard form of a linear equation?

Back

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

Front

How do you determine if a point lies on a line represented by an equation?

Back

Substitute the x and y values of the point into the equation. If the equation holds true, the point lies on the line.

Front

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

Back

The y-intercept is 3.

Front

What is the significance of the x-intercept in a linear equation?

Back

The x-intercept is the point where the line crosses the x-axis (y=0).

Front

How can you graph the equation -3x + 5y = -15?

Back

Rearrange to slope-intercept form (y = mx + b) to find the slope and y-intercept.

Front

What is the first step in solving the equation 2x + 3 = 7?

Back

Subtract 3 from both sides to isolate the term with x.