MultiStep Equations

What is the distributive property?

• The distributive property states that a(b + c) = ab + ac, allowing you to multiply a single term by two or more terms inside a set of parentheses.

• The distributive property states that a + (b + c) = (a + b) + c, allowing you to add numbers in any order.

• The distributive property states that a(b - c) = ab - ac, allowing you to multiply a single term by two or more terms inside a set of parentheses.

• The distributive property states that a(b + c) = a + b + c, allowing you to add terms inside a set of parentheses.

Solve for h: 5h + 4 = 12 + h

• h = 1

• h = 2

• h = 3

• h = 4

Solve for x: 0 + 10x = 60 - 2x

• x = 3

• x = 4

• x = 5

• x = 6

What does it mean to isolate a variable in an equation?

• To combine like terms in an equation.

• To manipulate the equation so that the variable is on one side by itself, making it easier to solve.

• To eliminate all constants from the equation.

• To substitute the variable with a numerical value.

What is the first step to solve the equation 5h + 4 = 12 + h?

• Subtract h from both sides to begin isolating the variable.

• Add 4 to both sides to simplify the equation.

• Multiply both sides by 5 to eliminate the coefficient.

• Divide both sides by h to isolate the variable.

What is the first step to solve the equation 23 - 9x = -56x - 28?

• Add 9x to both sides to combine like terms.

• Subtract 23 from both sides.

• Divide both sides by -9.

• Add 28 to both sides.

What is the first step to solve the equation 0 + 10x = 60 - 2x?

• Add 2x to both sides.

• Subtract 10x from both sides.

• Divide both sides by 10.

• Add 60 to both sides.

What is the purpose of combining like terms in an equation?

• To make the equation more complex

• To simplify the equation, making it easier to solve.

• To eliminate variables from the equation

• To increase the number of terms in the equation

Solve for c: 9c - 3c = 48

• c = 6

• c = 7

• c = 8

• c = 9

What is a like term in an equation?

• Like terms are terms that have the same variable raised to the same power, which can be combined by adding or subtracting their coefficients.

• Like terms are terms that have different variables and cannot be combined.

• Like terms are terms that are always positive and can be added together.

• Like terms are terms that have the same coefficient but different variables.