Topic 5 Solve Equations

What is the first step to solve this equation:

-3x + 11 = 44

• Add 3 to both sides

• Subtract 11 from both sides

• Add 11 to both sides

• Divide 3 on both sides.

What is the first step in solving this equation 8x - 6 = 10

• Add 6

• Subtract 8

• Divide by 8

• Subtract 6

The steps in solving 5b - 6 = 24 are: 

• Add 6 to both sides and divide both sides by 5
• Add 6 to both sides and multiply both sides by 5
• Subtract 6 from both sides then multiply both sides by 5
• Subtract 6 from both sides then divide both sides by 5

What operation would you perform first and then second when solving for m in the following equation?

10 + 7m = 17

• subtract 10, and then divide by 7

• divide by 7, and then subtract 10

• multiply by 7, and then subtract 10

• add 10, and then multiply by 7

What operation would you perform first and then second when solving for m in the following equation?

10 + 7m = 17

• subtract 10, and then divide by 7

• divide by 7, and then subtract 10

• multiply by 7, and then subtract 10

• add 10, and then multiply by 7

Sophie has $14 and plans to save $5 each week until she has $64 she needs for a new jacket. What is the equation to solve for Sophie to know how many weeks she will need to save?

• 64 = 14x + 5

• 5x + 64 = 14

• 5x + 14 = 64

• 5x - 14 = 64

UPS charges $7 for the first pound, and $0.20 for each additional pound. FedEx charges $5 for the first pound and $0.30 for each additional pound. What is the equation for the pricing for UPS?

• 7x + 0.20 = y

• 7 + 0.20x = y

• 5x + 0.30 = y

• 5 + 0.30x = y

Which equation matches this situation?
Diego is saving money for concert tickets to Melanie Martinez, after mowing lawns he has a $120. He already has $46 saved and earned $15 per lawn.

• 46 + 15x = 120
• 15x + 46 = 120
• 120 = 46x - 15
• 120 = 46x = 15

Which equation fits this situation?
A group of adults plus one child go to the movies.  Tickets for adults is $8 and the child gets in for $6.  The total cost for the movie is $54.

• 8 + 6x = 54
• 8x - 6 = 54
• 54 = 8x + 6
• 54 = 8 + 6x

How would you solve the equation?
36 = 9 + m

• Subtract 9 from both sides
• Add 9 to both sides
• Multiply both sides by 9
• Divide both sides by 9