Solving Multistep Equations Challenge

Why is it important to be familiar with the properties of equality and inequality?

• To memorize equations

• To transform equations or inequalities correctly

• To avoid using equations

• To create new equations

What does the addition property of equality state?

• Dividing the same number on both sides of an equation gives an equivalent equation

• Adding the same number to each side of an equation gives an equivalent equation

• Multiplying the same number on both sides of an equation gives an equivalent equation

• Subtracting the same number from each side of an equation gives an equivalent equation

What is the result when you multiply a number by its reciprocal?

• One

• Negative one

• The number itself

• Zero

In the first example, what property is used to solve 4x = 12?

• Addition property of equality

• Multiplication property of equality

• Division property of equality

• Subtraction property of equality

In the second example, what is the first step to isolate the term with the variable?

• Subtraction

• Multiplication

• Addition

• Division

What property is used to solve the equation 2x + 9 = 19 after subtracting 9 from both sides?

• Multiplication property of equality

• Subtraction property of equality

• Addition property of equality

• Division property of equality

What property is applied first when solving the equation 5(x - 1) = 45?

• Addition property of equality

• Subtraction property of equality

• Distributive property

• Division property of equality

In the third example, what is the result of distributing 5 in the equation 5(x - 1)?

• 5x + 1

• 5x - 1

• 5x + 5

• 5x - 5

In the fourth example, what is the first step to get all x terms on one side of the equation 8x - 7 = 2x + 11?

• Multiply both sides by 2

• Subtract 2x from both sides

• Add 2x to both sides

• Divide both sides by 2

What is the final value of x in the equation 8x - 7 = 2x + 11?

• x = 2

• x = 1

• x = 4

• x = 3