Verifying Solutions and Operations

The video tutorial explains how to solve equations by isolating variables on one side and moving coefficients and constants to the other. It demonstrates using reciprocal operations to solve equations, including those involving fractions. The tutorial also covers finding common denominators to simplify and solve equations effectively.

What is the first step in isolating a variable when it is divided by a number?

• Add the number to both sides

• Multiply by the reciprocal of the number

• Subtract the number from both sides

• Divide by the reciprocal of the number

Tags

CCSS.6.EE.B.7

When solving the equation 2/3x = -1, what is the reciprocal used?

• 2/3

• 1/3

• 3/2

• 1/2

Tags

CCSS.7.NS.A.2A

What is the result of multiplying -1 by 3/2?

• -3/2

• 2/3

• 3/2

• -2/3

Tags

CCSS.6.EE.B.5

How do you verify if your solution to an equation is correct?

• By multiplying the solution by 2

• By solving a different equation

• By adding 1 to the solution

• By checking if the solution satisfies the original equation

Tags

CCSS.5.NF.A.1

CCSS.5.NF.A.2

What is the common denominator used when subtracting 4 from 13/2?

• 8

• 4

• 2

• 1

Tags

CCSS.4.NF.B.3C

CCSS.4.NF.B.3D

What is the result of 13/2 minus 8/2?

• 7/2

• 3/2

• 5/2

• 1/2

How do you express 5/2 as a mixed number?

• 1 and 1/2

• 1 and 3/2

• 2 and 1/2

• 2 and 3/2

Tags

CCSS.6.EE.B.7

What is the first step in verifying the solution of m + 4 = 13/2?

• Subtract 4 from both sides

• Multiply both sides by 2

• Divide both sides by 2

• Add 4 to both sides

Tags

CCSS.4.NF.B.3C

CCSS.4.NF.B.3D

What is the result of adding 5/2 and 8/2?

• 12/2

• 15/2

• 10/2

• 13/2

Tags

CCSS.8.EE.C.7B

What is the final step in verifying the solution to an equation?

• Subtract 1 from the solution

• Add 1 to the solution

• Multiply the solution by 2

• Check if the left side equals the right side

Tags

CCSS.8.EE.C.7B