Writing One Step Equations

Writing Equations

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The words "per" or "for each" suggest multiplication

• $5 per hour can be written as 5h

• 9 feet per second can be written as 9s

• 2 pages per minute can be written as 2m

• 60 miles per hour can be written as 60h

An one step equation consists of one operation, a variable, and an equals sign.

•  $\frac{x}{2}=\ 15$  

• -15= 5x

• x + (-7) = 15

• 18 = x - 11

Multiple Select

Check all of the following that are one step equations

•  $\frac{x}{3}+\ 7$  

• 4x = 18

•  $9\ =\ \frac{x}{6}$  

• x + 10 = -19

• -5x

Write the equation for the following situation.

Mary makes $15 per hour and her check came to a total of $52.50. How many hours did she work?

• Equation: 15h = 52.50

• h= 3.5

Write the equation for the following situation.

Lennon splits all of his pieces of candy among his 5 friends. Each friend got 8 pieces. How many pieces did Lennon have?

• Equation:

   $\frac{p}{5}\ =\ 8$  

• p = 40

Blake withdrew $55 from his account. He now has $135 in his account. How much did he have before the withdrawal?

• x - 55 = 135

• x = 190

Brian had x amount of problems correct, He got 7 more correct to give him a total of 30 correct. How many did he have correct to begin with?

• x + 7 = 30

• x = 21

Gina has $30 less than Katherine. Gina has $80. How much money does Katherine have?

BE VERY CAREFUL! Many make the mistake of writing this as 30 - k = 80.

• K - 30 = 80 THIS IS THE CORRECT WAY TO WRITE IT

• K = 110

Multiple Choice

Write an equation models the following statement:
 17 less than h equals 42

• 17-h=42
• h-17=42
• h+17=42
• 17+h=42

Multiple Choice

Tara caught three times as many fish this year than last year. She caught 63 fish by the end of the year. Which equation represents how many fish she caught last year?

• 3y = 63

• 3 + y = 63

• 63 - y = 3

• y/3 = 63

Multiple Choice

Becky is preparing for her younger sister's birthday party. She splits a jar of lollilops evenly among 6 goody bags. Each bag ends up with 4 lollipops.

Which equation can you use to find the number of lollipops n in the jar?

• n/6 = 4

• n - 4 = 6

• 4n = 6

• n + 6 = 4

Multiple Choice

Which choice models this situation?

Anna participated in a read-a-thon. Mr. Cole pledged $4 per book and gave Anna $44. How many books did Anna read?

• b - 4 = 44

• b + 4 = 33

• 4b = 44

• b/4 = 44

Multiple Choice

Which choice models this situation?

Jack needed new pencils for school today. He took 6 pencils from a new box of pencils. If there are 18 pencils left in the box, how many pencils were in the brand new box?

• p - 6 = 18

• p + 6 = 18

• 6p = 18

• p/6 = 18

Multiple Choice

Which choice models this situation?

At Pierce County Middle School, there are 5 art classes with 24 students in each class. How many students altogether are in the art classes?

• s - 5 = 24

• s + 5 = 24

• 5s = 24

• s/5 = 24

Multiple Choice

Which choice models this situation?

Last week, Tina worked 35 hours in 5 days. She worked the same number of hours each day. How many hours did she work each day?

• h - 5 = 35

• h + 5 = 35

• 5h = 35

• h/5 = 35

Multiple Choice

Which choice models this situation?

Taylor has read 125 pages in a book. The book has a total of 262 pages. How many pages does she have left to read to finish the book?

• p - 125 = 262

• p + 125 = 262

• 125p = 262

• p/125 = 262

Multiple Choice

Which choice models this situation? Marcus needs to sell 25 tickets to a fundraiser by Friday. So far, he has sold 9 tickets. How many tickets does he still need to sell?

• t - 9 = 25

• t + 9 = 25

• 9t = 25

• t/9 = 25