Translating Equations and Solving Equations

Translating Expressions and Writing Equations

by Tricia Williamson

​First Let's Review

​Key words for each computation:

​-addition: sum, plus, more than, increased by

​-subtraction: difference, less than, minus, decreased by

​-multiplication: times, product, twice

​-division: quotient, divided by

​-equals: is

Multiple Choice

the difference of 3 times a number and 7

• 3 - 7n
• 3n - 7
• 3n + 7 
• 3 / 7n

Multiple Choice

m plus the product of 6 and n 

• m + 6n
• m - 6 + n
• 6m + n
• m + 6 + n 

Multiple Choice

a number more than 12

• n / 12

• 12n 
• 12 + n 
• 12 - n 

Multiple Choice

the product of seven and j..

• 7j
• j+3
• j-3
• j/3

Multiple Choice

4 divided by the sum of a number and 12

• 4 / n - 12

• 4 / 12n
• 4 / (n + 12) 
• (4 / n) + 12

Multiple Choice

three times a number plus 16

• 3(16) + n

• 16n + 3

• 3n + 16

Multiple Choice

six less than y

• 6 + y

• 6 < y
• y - 6

Multiple Choice

quotient indicates what operation?

• Subtraction
• Addition
• Multiplication
• Division

Multiple Choice

difference indicates what operation?

• add
• subtract 
• multiply
• divide

​

​

​​Use these skills to write equations from word problems

Multiple Choice

Five times Connor's age increased by 9

• 5(x+9)
• 9(5+x)
• 9x+5
• 5x+9

Multiple Choice

Strawberries are $1.95 a pound. Write an expression for p pounds of strawberries. 

• $1.95+p
• $1.95-p
• $1.95/p
• $1.95p

Multiple Choice

Mr. Krabs has 100 more dollars than Squidward. Which equation represents this situation?
Mr. Krabs = K
Squidward = S

• S = 100 + K
• S = 100K
• K = 100S
• K = 100 + S

Multiple Choice

Alex has twice as many nickels as dimes. Which equation represents this situation?
Nickels = N
Dimes = D

• N = 2 + D
• D = 2N
• N = 2D
• D = N + 2

Multiple Choice

If p represents the points Kia scored in a game, which expression shows how she tripled her point total?

• $$3p$$

• $$3\ -\ p$$

• $$3\ +\ p$$

• $$\frac{p}{3}$$

Multiple Choice

Tiana went to Game Stop to purchase a gaming system. They had a special promotion where for a limited time systems were half the price. She also had a coupon for $25 dollars off the sale price. If g represents the game system, which expression represents the sale price along with the coupon?

• $$\frac{g}{2}\ -\ 25$$

• $$\frac{g}{2}+25$$

• $$2g\ -\ 25$$

• $$\frac{g}{25}-2$$

Multiple Choice

Luke's parents hired a clown for his birthday party. The clown charges $100 plus an additional $20 per hour. If h represents the hours, which expression represents how much Luke's parents spent on the clown?

• $$100\ +\ 20h$$

• $$100h\ +\ 20$$

• $$100\ +\frac{h}{20}$$

• $$100\ +\ h$$

Multiple Choice

Mr. Marcin is making bags of prizes. He has 92 prizes and splits them evenly into b bags. Which expression represents how many prizes are in each bag?

• $$b\div92$$  

• $$92\ -\ b$$  

• $$92b$$  

• $$92\ \div b$$  

Multiple Choice

There were 47 frogs in a pond. f of the frogs hopped away. Choose the expression that represents the number of frogs left in the pond.

• $$f\ -\ 47$$

• $$f\ +\ 47$$
  

• $$47\ \div\ f\$$

• $$47\ -\ f\$$

Multiple Choice

There are r rows of chairs with 8 chairs in each row. Choose the expression that represents the total number of chairs.

• $$8r$$

• $$8\ \div\ r\$$

• $$r\div8$$
  

• $$8\ +\ r$$

Multiple Choice

Shawn and his friends are going to the State Fair. It costs $12 to park their car. Tickets to get in are $10 per person. If p represents the number of people, which expression represents how much money Shawn and his friends will spend?

• 12p + 10p

• 12p - 10p

• 12p + 10

• 12 + 10p

Multiple Choice

The number of Doritos is twice as much as the number of Hot Cheetos. If there are 12 Hot Cheetos, how many Doritos are there?

• 6 Doritos
• 24 Hot Cheetos
• 14 Doritos
• 24 Doritos

Multiple Choice

Maddie and Ben played mini golf at Boomers. The number of holes that Maddie won was 1 less than twice the number of holes that Ben won. If Ben won 5 holes, how many did Maddie win?

• 8 holes
• 4 holes
• 2 holes
• 9 holes