Linear Equations (Number of Solutions and translating Equations)

Front

Translate: 4 less than 3 times a number is 11.

Back

3x - 4 = 11

Front

Translate: The difference of a number and 5 is 8.

Back

x - 5 = 8

Front

Fill in the blank to create an equation with infinite solutions: 2x + 5 = 2x + _____.

Back

5

Front

Determine the number of solutions for the equation: 3x + 5 - x = 4x + 5.

Back

One solution

Front

Fill in the blank to create an equation with one solution: -3x + 2 = 2 + _____.

Back

2x

Front

What is a linear equation?

Back

An equation that makes a straight line when graphed, typically in the form y = mx + b.

Front

What does it mean for an equation to have no solutions?

Back

It means that there are no values for the variable that will satisfy the equation.

Front

What does it mean for an equation to have infinitely many solutions?

Back

It means that any value for the variable will satisfy the equation.

Front

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

Back

y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you determine if two linear equations are equivalent?

Back

If they simplify to the same equation or represent the same line on a graph.