Solve Linear Equations Mixed Review

Front

What does it mean if an equation has no solution?

Back

It means that there are no values for the variable that can satisfy the equation, such as -6 = 6.

Front

What does it mean if an equation has an infinite number of solutions?

Back

It means that any value for the variable will satisfy the equation, such as 4 = 4.

Front

What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed, typically in the form ax + b = c.

Front

Solve: 5y + 34 = -2(-7y + 1)

Back

y = 4.

Front

What is the solution to the equation 2(4x - 3) - 8 = 4 + 2x?

Back

x = 3.

Front

What does it mean if an equation has one solution?

Back

It means there is exactly one value for the variable that satisfies the equation, such as x = 0.25.

Front

How do you isolate a variable in an equation?

Back

You perform inverse operations to get the variable by itself on one side of the equation.

Front

What is the first step in solving the equation 3x + 5 = 20?

Back

Subtract 5 from both sides to isolate the term with the variable.

Front

What is the principle of equality in solving equations?

Back

It states that if you perform the same operation on both sides of an equation, the two sides remain equal.

Front

What is the solution to the equation 2x + 3 = 11?

Back

x = 4.