Pre-Unit 1 Solving Equations

Front

What do parentheses indicate in an equation?

Back

They indicate that you should multiply the terms inside them.

Front

What is the first step in solving the equation -4b + 10 = 22?

Back

Subtract 10 from both sides, then divide both sides by -4.

Front

How do you solve the equation 2a - 4(a - 5) = 10?

Back

Distribute -4 to both a and -5.

Front

What does the equation 3a + 25 = 3a imply?

Back

It implies that there is no solution.

Front

How do you determine if 7 is a solution to the equation 3x + 8 - x = 5x - 4?

Back

Substitute 7 into the equation and check if both sides are equal.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac.

Front

What does it mean if an equation has no solution?

Back

It means that there are no values that can satisfy the equation.

Front

What is the process of isolating a variable in an equation?

Back

It involves rearranging the equation to get the variable on one side and the constants on the other.

Front

What is the significance of checking your solution in an equation?

Back

It verifies that the solution satisfies the original equation.

Front

What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed.