Solving One Step Equations Using Reciprocals| 7.EE.B.4 | Math Defined with Mrs. C

The video tutorial explains how to solve one-step algebraic equations using reciprocals. It begins with a review of what reciprocals are and why they are useful in solving equations where a variable is multiplied by a fraction. The tutorial provides several examples, demonstrating the process of multiplying both sides of an equation by the reciprocal to isolate the variable. Each example includes a step-by-step solution and a verification of the answer. The video concludes by emphasizing the importance of reciprocals in simplifying and solving equations.

What is the reciprocal of 3/4?

• -4/3

• -3/4

• 4/3

• 3/4

Why are reciprocals useful in solving equations?

• They make equations longer.

• They help isolate variables by canceling fractions.

• They add complexity to equations.

• They are only used in addition.

What is the value of H in the equation 3/4 H = -12?

• 12

• -12

• 16

• -16

What is the reciprocal of -2/5?

• -2/5

• 2/5

• 5/2

• -5/2

What is the value of X in the equation 8 = -2/5 X?

• 20

• -8

• -20

• 8

What is the value of g in the equation -4/9 g = -3?

• 6 3/4

• 4/27

• 27/4

• 3/6

What is the first step to solve -8/5 W = 126?

• Multiply both sides by the reciprocal of -8/5.

• Subtract 126 from both sides.

• Divide both sides by 126.

• Add 8/5 to both sides.