Solving Linear Equations and Errors

Front

What is the first step to complete when solving the equation: 10 - 3y = 4?

Back

Subtract 10 from both sides to isolate the term with the variable.

Front

What error did the student make when solving the equation: 5x + 6 = 66?

Back

The student multiplied by 5 instead of dividing by 5.

Front

Solve for x: 8x - 10 = -34

Back

x = -3

Front

In a certain apartment building, the ratio of tenants to cars is 3:5. If there are 30 tenants, how many cars are there?

Back

There are 50 cars.

Front

If there are 5 boys and 7 girls, write the ratio of girls to boys.

Back

The ratio of girls to boys is 7 to 5.

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

How do you isolate a variable in an equation?

Back

You perform inverse operations to both sides of the equation until the variable is alone.

Front

What does it mean to check your solution in an equation?

Back

It means substituting your solution back into the original equation to verify that both sides are equal.

Front

What is the solution to the equation: 2x + 4 = 12?

Back

x = 4.

Front

What is the first step to solve the equation: 3y + 9 = 0?

Back

Subtract 9 from both sides.