Solving Equations Review Lesson

Solving Equations Review Lesson

Students will be able to self-assess their understanding of solving single step, multi-step, fraction buster and equations by using the 5-D process.

Solving Equations Assessment Topics

• Single Step Equations

• Multi-Step Equations

• Fraction Busters Equations

• 5-D Process Word Problem

• YOU MUST SHOW YOUR WRITTEN WORK ON THIS TEST - NO CREDIT FOR GUESS & CHECK

• If you get stuck solving an equation... Remember: Combine like terms first and use inverse operations to isolate "x"

• Solving an equation is a balancing act; What you do to one side of the equation, you have to do to the other!!

Multiple Choice

How would you solve the following single step operation?

 $x-8=9$  

• Subtract 8 from both sides of the equation

• Add 8 to both sides of the equation

• Multiply each side by -8

• Divide each side by -8

Multiple Choice

How would you solve the following single step operation?

 $10=x+4$  

• Subtract 4 from both sides of the equation

• Add 4 to both sides of the equation

• Multiply each side by 4

• Divide each side by 4

Multiple Choice

How would you solve the following single step operation?

 $5x=40$  

• Subtract 5 from both sides of the equation

• Add 5 to both sides of the equation

• Multiply each side by 5

• Divide each side by 5

Multiple Choice

How would you solve the following single step operation?

 $\frac{x}{-6}=4$  

• Subtract 6 from both sides of the equation

• Add 6 to both sides of the equation

• Multiply each side by -6

• Divide each side by -6

5-D Process Example

Scientists have found that the number and types of bees in a hive is based on the amount of nectar and pollen available. Within a hive are three types of bees that help the queen: workers, drones, and nurses. 

In a recent study of a hive, it was found that there were a total of 4109 bees, not including the queen. There were thirty‑three more nurses than drones. The number of workers was twelve more than six times the number of drones.

Which type of bee (workers, drones or nurses) would we use as our variable "x"?

Multiple Choice

Knowing that "x" will represent the number of drone bees, which expression would represent the number of nurse bees?

There were thirty‑three more nurses than drones. The number of workers was twelve more than six times the number of drones.

• x + 33

• x - 33

• 33x

• 12 + 6x

Multiple Choice

Knowing that "x" will represent the number of drone bees, which expression would represent the number of worker bees?

There were thirty‑three more nurses than drones. The number of workers was twelve more than six times the number of drones.

• x + 33

• 6x + 12

• 12x + 6

• x + 6 + 12

Multiple Choice

If the study showed that there were a total of 4,109 drone, nurse and worker bees, which equation would we use to find the number of drone bees in the hive?

There were thirty‑three more nurses than drones.  The number of workers was twelve more than six times the number of drones.

• d + n + w = 4,109

• 8x + 45 = 4,109

• 6x + 12 = 4,109

• 7x + 45 = 4,109