Algebra I Review

Front

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

Back

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

Front

How do you determine the slope from the equation y = mx + b?

Back

The slope is the coefficient of x in the equation, represented by m.

Front

What is the y-intercept of a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, b) in the equation y = mx + b.

Front

How do you find the x-intercept of a linear equation?

Back

To find the x-intercept, set y = 0 in the equation and solve for x.

Front

What is the solution to a system of equations?

Back

The solution to a system of equations is the point (x, y) that satisfies all equations in the system.

Front

What is the formula for the perimeter of a polygon?

Back

The perimeter of a polygon is the sum of the lengths of all its sides.

Front

How do you solve for a variable in an equation?

Back

To solve for a variable, isolate it on one side of the equation using algebraic operations.

Front

What does it mean to rearrange an equation?

Back

Rearranging an equation means to manipulate it to isolate a specific variable or to express it in a different form.

Front

What is the significance of the coefficients in a linear equation?

Back

Coefficients determine the slope and the direction of the line represented by the equation.

Front

How do you interpret the solution (1, 3) in the context of a system of equations?

Back

The solution (1, 3) indicates that x = 1 and y = 3 satisfy all equations in the system.