Essentials RQ 6**

Front

What is the subtraction property of equality?

Back

If you subtract the same number from both sides of an equation, the two sides remain equal.

Front

Solve the system of equations: 4x + 8y = 20 and -4x + 2y = -30.

Back

(7,-1)

Front

What does the solution (45,90) mean in the context of the equations 3x + 2y = 315 and 2x + 4y = 450?

Back

Haircuts take Alexandra 45 minutes & hair dyes take 90 minutes.

Front

What is the addition property of equality?

Back

If you add the same number to both sides of an equation, the two sides remain equal.

Front

What is the multiplication property of equality?

Back

If you multiply both sides of an equation by the same non-zero number, the two sides remain equal.

Front

What is a system of inequalities?

Back

A set of two or more inequalities with the same variables.

Front

Back

The square root of the product of 21 and x.

Front

How do you solve a system of equations graphically?

Back

By plotting the equations on a graph and finding the point(s) where they intersect.

Front

What is the significance of the intersection point in a system of equations?

Back

It represents the solution that satisfies all equations in the system.

Front

What is the difference between a linear equation and a linear inequality?

Back

A linear equation shows equality, while a linear inequality shows a range of possible values.