#1 Linear Equations, Inequalities, and Systems

Front

What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed. It can be written in the form ax + by = c, where a, b, and c are constants.

Front

What does it mean to solve a linear equation?

Back

To solve a linear equation means to find the value(s) of the variable(s) that make the equation true.

Front

What is the solution of the equation x - 2y = 4?

Back

(4,0)

Front

What symbols are used for closed dots when graphing inequalities?

Back

≤, ≥

Front

What does the inequality x + 9 > 21 mean?

Back

It means that the value of x plus 9 is greater than 21.

Front

How do you determine if a value satisfies an inequality?

Back

Substitute the value into the inequality and check if the statement is true.

Front

What is the first step in solving the equation 5x + 7 = 12?

Back

Subtract 7.

Front

What is a system of linear equations?

Back

A system of linear equations is a set of two or more linear equations with the same variables.

Front

How do you solve a system of equations graphically?

Back

Graph each equation on the same coordinate plane and identify the point(s) where the lines intersect.

Front

What does it mean if two lines are parallel in a system of equations?

Back

If two lines are parallel, it means they have no solution because they never intersect.