6th 10/18 & 10/25 write equations

Write One-Step Equations

Copy these

To write a one-step equation:

• Read the problem carefully.

• Find the what you know and don't know.

• Decide what operation makes sense for the action in the problem.

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

Multiple Choice

Ms. Carter bought m miniature candy bars for a class party. She plans to split the candy bars evenly among 8 prize bags for a game they will play. She will put 4 candy bars in each prize bag. 

Which equation models the story?

• $$4m\ =\ 8$$
  

• $$\frac{m}{8}=\ 4$$

Multiple Choice

At soccer practice, Levi's team spent m minutes practicing drills. They wanted to practice 3 different drills. So, they spent 6 minutes on each.

Which equation models the story?

• $$\frac{m}{3}=\ 6$$

• $$3m\ =\ 6$$

Multiple Choice

Victoria teaches a dog-training course. After every trick, she rewards each dog with a treat. During Saturday's class, she gave t treats to each of the 6 dogs. In all, Victoria gave out 30 treats during the class.

Which equation models the story?

• $$\frac{t}{6}\ =\ 30$$

• $$6t\ =\ 30$$

Multiple Choice

Tyler and his twin brother, Chase, are on the same lacrosse team. Tyler plays defense and has a lacrosse stick that is t inches long. Since Chase plays goalie, his stick is 20 inches shorter than Tyler's stick. Chase's lacrosse stick is 40 inches long.

Which equation models the story?

• $$t\ -\ 20\ =\ 40$$

• $$t\ +\ 20\ =\ 40$$

Multiple Choice

Zoe sells handmade jewelry at craft fairs. She bought a package of c charms. She used all the charms in the package to make 12 bracelets, and each bracelet had 8 charms.

Which equation models the story?

• $$8c\ =\ 12$$

• $$\frac{c}{12}\ =\ 8$$

Multiple Choice

The Wrap & Roll food truck is the most popular lunch spot in the city. They have v vegetarian wraps and 8 wraps containing meat on today's menu. There are 12 wraps on the menu in all.

Which equation models the story?

• $$v\ -\ 8\ =\ 12$$

• $$v\ +\ 8\ =\ 12$$

Multiple Choice

Alice signed up to bake chocolate chip and oatmeal raisin cookies for a bake sale. After she made c chocolate chip cookies, Alice decided to make 12 fewer oatmeal raisin cookies, since they are less popular. She only made 24 oatmeal raisin cookies.

Which equation models the story?

• $$c\ +\ 12\ =\ 24$$

• $$c\ -\ 12\ =\ 24$$

Multiple Choice

Colleen recently learned how to knit and wants to make a scarf for her aunt. She wants the scarf to be s inches long. She started knitting and has completed 18 inches so far. Colleen has 42 inches left to knit.

Which equation models the story?

• $$s\ +\ 18\ =\ 42$$

• $$18s\ =\ 42$$

• $$\frac{s}{18}=42$$

• $$s\ -\ 18\ =\ 42$$

Multiple Choice

At Tall Timbers Tree Farm, customers can pay to cut their own fir or pine trees. During the first weekend of December, 43 pine trees were sold. The farm sold 97 trees in all that weekend.

Let f represent how many fir trees the farm sold.

• f + 43 = 97

• f - 43 = 97

Multiple Choice

Alexandra drew two adjacent angles that form a right angle. A right angle is 90°. The measure of one of the angles is 24°.

Let m represent the measure of the second angle.

Which equation models the problem?

• 24° + m = 90°

• m - 24° = 90°

Multiple Choice

Grayson is painting a bright blue accent wall in his bedroom. Grayson already painted 48 square feet of the wall. He still has 36 square feet left to paint.

Let a represent the total area of the wall.

Which equation models the problem?

• a - 48 = 36

• 36 + a = 48

Multiple Choice

Coral reefs have always fascinated Colton. This summer, he is travelling to Australia, and he can't wait to see the Great Barrier Reef! Colton paid $578.45 in total for a scuba diving class and a new underwater camera.

The camera cost $199.98.

Let s represent the cost of the class. Which equation models the problem?

• s + 199.98 = 578.45

• s - 199.98 = 578.45

Multiple Choice

Andrew has saved $55 toward the purchase of a new phone. The phone is a total cost of $145. Write an equation represents the amount Andrew needs to save to buy the phone?

• 55 + x = 145

• 145x = 55

• 55 - x = 145

• 145 (55) = x

Multiple Choice

Joey and four of his friends went out to eat. They decided to split the bill evenly. Each person paid $11.13. What was the total bill? Write an equation you could use to solve this equation. Use d as your variable.

• d/4 = $11.13

• 4d = $11.13

• d/5 = $11.13

• 5d = $11.13

Fill in the Blank

How could you write $1.50 per bag. Use the letter b as your variable

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?

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