Solving Two-Step Equations with Numerators

The video tutorial explains how to solve the equation -16 = x/4 + 2 by isolating the variable x. The process involves subtracting 2 from both sides to simplify the equation to -18 = x/4. Then, multiplying both sides by 4 results in x = -72. The solution is verified by substituting x back into the original equation, confirming that the right-hand side equals -16.

What is the initial equation given in the tutorial?

• -16 = x/4 + 2

• -18 = x/2 + 4

• -16 = x/2 + 4

• -18 = x/4 + 2

Tags

CCSS.7.EE.B.4A

What operation is performed to both sides of the equation to eliminate the constant term?

• Division by 2

• Multiplication by 2

• Subtraction of 2

• Addition of 2

Tags

CCSS.7.EE.B.4A

What is the result on the left-hand side after subtracting 2?

• -18

• -14

• -20

• -16

Tags

CCSS.7.NS.A.1C

To isolate x, what operation is applied to both sides of the equation?

• Addition of 4

• Subtraction of 4

• Multiplication by 4

• Division by 4

Tags

CCSS.HSA.REI.A.1

What is the value of x after isolating it?

• -18

• 18

• 72

• -72

Tags

CCSS.6.EE.B.7

What is the simplified form of -72/4?

• 36

• 18

• -36

• -18

Tags

CCSS.7.NS.A.2A

CCSS.7.NS.A.2B

After substituting x back into the equation, what is the final simplified right-hand side value?

• 16

• -16

• -18

• 18

Tags

CCSS.8.EE.C.7B

What does the right-hand side simplify to after substituting x = -72?

• 18

• -18

• 16

• -16

Tags

CCSS.6.EE.A.2C

Does the calculated value of x satisfy the original equation?

• Yes

• No

• Insufficient information

• Irrelevant to the equation

Tags

CCSS.8.EE.C.7B

What mathematical operation was used to check the solution?

• Addition

• Division

• Subtraction

• Multiplication

Tags

CCSS.HSA.REI.A.1