Solving Equations and Reciprocals

This video tutorial covers solving one-step equations using addition, subtraction, multiplication, and division. It begins with word problems that require translating sentences into equations and provides step-by-step solutions. The tutorial emphasizes understanding constants and variables, and how to isolate variables by eliminating constants. It also covers handling equations with fractions by using reciprocals. Practice problems are included to reinforce the concepts.

What is the first step in solving the equation: -7 + M = 20?

• Multiply both sides by 7

• Divide both sides by 7

• Add 7 to both sides

• Subtract 7 from both sides

In the equation 5 + X = 16, which constant should be removed to isolate the variable?

• X

• 16

• 5

• None

How do you solve the equation Y + 4 = 8?

• Divide both sides by 4

• Multiply both sides by 4

• Subtract 4 from both sides

• Add 4 to both sides

What operation is used to solve the equation 1/4 T = 5?

• Add 4 to both sides

• Subtract 4 from both sides

• Divide both sides by 4

• Multiply both sides by 4

If cupcakes are sold for $1.50 each and the total is $16.50, how many cupcakes were sold?

• 10

• 11

• 12

• 13

What is the reciprocal of 2/3?

• 3

• 2/3

• 3/2

• 1/2

How do you solve the equation X / -3 = 18?

• Add 3 to both sides

• Divide both sides by -3

• Subtract 3 from both sides

• Multiply both sides by -3

What is the result of multiplying a number by its reciprocal?

• The reciprocal

• 0

• 1

• The number itself

In the equation 4Y = 8, what should you divide both sides by to solve for Y?

• 2

• 4

• 8

• Y

What is the final step in solving the equation -5/2 C = -4?

• Divide both sides by -2/5

• Multiply both sides by -2/5

• Multiply both sides by -5/2

• Divide both sides by -5/2