Algebra 1 Semester 1 Review

Front

What is a system of equations?

Back

A set of two or more equations with the same variables that are solved together.

Front

How do you find the value of x in a system of equations?

Back

You can use substitution or elimination methods to solve for x.

Front

What does it mean for an equation to be equivalent?

Back

Two equations are equivalent if they have the same solution set.

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 convert the equation 3x - 4y = 6 to slope-intercept form?

Back

Rearrange to get y = (3/4)x - (3/2).

Front

What is a function in mathematics?

Back

A relation that assigns exactly one output for each input.

Front

How do you determine the total height of a building with n floors and an antenna?

Back

Use the function h(n) = 3.9n + 15.85, where 3.9 is the height of each floor and 15.85 is the height of the antenna.

Front

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

Back

It means the lines represented by the equations are parallel and never intersect.

Front

What is the definition of a variable in algebra?

Back

A symbol, often a letter, that represents an unknown value.

Front

What is the purpose of graphing a linear equation?

Back

To visually represent the solutions of the equation on a coordinate plane.