Solving Linear Equations Unit Test

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 + b = c, where a, b, and c are constants.

Front

What does it mean if a linear equation has no solution?

Back

It means that there is no value of the variable that can satisfy the equation. The lines representing the equations are parallel.

Front

What does it mean if a linear equation has infinitely many solutions?

Back

It means that there are an infinite number of values for the variable that satisfy the equation. The lines representing the equations overlap.

Front

How do you combine like terms in an expression?

Back

You add or subtract the coefficients of terms that have the same variable raised to the same power.

Front

What is the solution to the equation 3x - 8 = 3(x - 4) + 1?

Back

No Solution.

Front

What is the solution to the equation 6x + 7 = 13 + 7x?

Back

x = -6.

Front

What is the solution to the equation 3 - 5x = -9 + x?

Back

x = 2.

Front

What is the solution to the equation 8x + 4 = 4(2x + 1)?

Back

Infinitely Many Solutions.

Front

What is the first step in solving a linear equation?

Back

Isolate the variable on one side of the equation.

Front

What does it mean to isolate a variable?

Back

To isolate a variable means to get the variable alone on one side of the equation, usually by performing inverse operations.