Exploring Adding and Subtracting Rational Expressions

The video tutorial covers solving two-step equations by first addressing addition or subtraction, followed by multiplication or division. It provides multiple examples, including equations with rational numbers, and emphasizes checking the solutions. The tutorial concludes with a summary of the process and additional examples.

What is the first step in solving two-step equations?

• Locate the variable

• Undo addition or subtraction

• Multiply or divide

• Check the answer

After adding 2 to both sides of the equation 9a - 2 = 65, what is the value of a?

• -63

• -7

• 67

• 7

What is the result of solving the equation -4x + 7 = 31?

• x = -24

• x = -6

• x = 6

• x = 24

In the equation 8 = 23 - 5w, what is the value of w?

• 15

• 3

• -3

• -15

How do you solve an equation with a variable divided by a number?

• Subtract

• Add

• Multiply by the reciprocal

• Divide by the reciprocal

How do you solve an equation with a variable over a negative fraction?

• Multiply by the negative reciprocal

• Divide by the negative reciprocal

• Add the fraction to both sides

• Subtract the fraction from both sides

What is the solution to the equation 2/3 X = 12?

• X = 18

• X = 36

• X = 72

• X = 8

When solving an equation like X minus 1 = 12, what is the next step after isolating the variable?

• Divide both sides by 1

• Multiply both sides by 1

• Add 1 to both sides

• Subtract 1 from both sides

What is the value of K when solving the equation 48 = K - 5?

• 53

• -53

• 43

• -43

In the equation P + 20 = -28, what is the value of P?

• -8

• 8

• 48

• -48