Solving Two-Step Equations: Key Concepts and Techniques

What is the first step in solving a two-step equation?

• Apply the reverse order of operations

• Isolate the variable

• Add or subtract a constant from both sides

• Divide both sides by the coefficient of the variable

Tags

CCSS.6.EE.B.7

What does isolating the variable mean?

• Making the variable equal to zero

• Dividing the equation into two parts

• Getting the variable on one side of the equation by itself

• Multiplying the variable by a constant

Tags

CCSS.6.EE.B.5

CCSS.6.EE.B.6

CCSS.6.EE.B.7

What is the next step after eliminating the addition or subtraction in the equation 2x - 6 = 10?

• Divide both sides by 2

• Multiply both sides by 2

• Add 6 to both sides

• Subtract 6 from both sides

What is the purpose of solving two-step equations?

• To demonstrate the properties of equality

• To simplify the equation to its simplest form

• To transform the equation into a one-step equation

• To find the value of the variable that makes the equation true

Tags

CCSS.6.EE.B.5

CCSS.6.EE.B.7

How do you eliminate the addition or subtraction part of a two-step equation?

• By squaring both sides of the equation

• By dividing both sides by the variable

• By multiplying both sides by the same number

• By adding or subtracting the opposite number on both sides

Tags

CCSS.6.EE.B.7

In the equation R/5 + 8 = 11, what operation do you perform first to start isolating R?

• Subtract 8 from both sides

• Add 8 to both sides

• Divide both sides by 5

• Multiply both sides by 5

Tags

CCSS.7.EE.A.1

CCSS.7.EE.B.3

CCSS.7.EE.B.4

After subtracting 16 from both sides in the equation 7 = 16 - 3E, what is the next step to isolate E?

• Multiply both sides by -3

• Divide both sides by -3

• Subtract 3 from both sides

• Add 3 to both sides

Tags

CCSS.6.EE.A.3

CCSS.6.EE.B.7

What is the result of isolating Y in the equation 2(Y - 8) = 24?

• Y = 16

• Y = 12

• Y = 20

• Y = 24

Tags

CCSS.6.EE.A.2

CCSS.6.EE.B.5

CCSS.6.EE.B.6

CCSS.6.EE.B.7

What operation is performed first to solve the equation with parentheses 2(Y - 8) = 24?

• Multiply both sides by 2

• Divide both sides by 2

• Subtract 8 from both sides

• Add 8 to both sides

Tags

CCSS.7.EE.A.1

CCSS.7.EE.B.3

CCSS.7.EE.B.4

How do you check if the solution to a two-step equation is correct?

• By adding the solution to the original equation

• By dividing the equation by the solution

• By substituting the solution back into the original equation

• By multiplying the solution by the coefficient of the variable

Tags

CCSS.6.EE.B.5