Equation Word Problems

Look at the chart to refresh on words that represent any of the four operations - you will answer questions about these words next.

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​Operation Words

Multiple Choice

Quotient 

• $$\times$$  
  

• $$-$$  
  

• $$+$$  
  

• $$\div$$  

Multiple Choice

Twice

• $$\times$$  2
  

• $$-$$  2
  

• $$+$$  2
  

• $$\div$$  2

Multiple Choice

Half

• $$\times$$  2
  

• $$-$$  2
  

• $$+$$  2
  

• $$\div$$  2

Multiple Choice

What operation is the word "of" associated with?

• Addition
• Subtraction
• Multiplication
• Division

Multiple Choice

What does the word cubeded mean as used below:

two cubed is eight

• multiply the number by it self twice

• multiply the number by 2

• multiply the number by itself three times

• multiply the number by three

Multiple Choice

What operation is the word "product" associated with?

• Addition
• Subtraction
• Multiplication
• Division

Multiple Choice

What operation is the word "twice" associated with?

• Addition
• Subtraction
• Multiplication
• Division

Multiple Choice

What does the word squared mean as used below:

four squared is sixteen

• multiply the number by it self twice

• multiply the number by 2

• multiply the number by itself three times

• multiply the number by four

Multiple Choice

Decrease is a keyword that is used with ________ problems.

• Addition
• Subtraction

Multiple Choice

Together tells you to....

• Add
• Subtract

Multiple Choice

In Jason's scenario, what would be the variable?

• cost of the soft drink

• cost of the candy bar

Multiple Choice

Which one of these would be final equation for Jason's scenario?

• 5 + 2x = 17

• 2 - 5x = 17

• 17 +5x = 2

• 2 + 5x = 17

Fill in the Blanks

Now solve the equation for the cost of one candy bar.

$2\ +5x\ =\ 17$  

Jeremy needs to rent a moving truck. Company A charges $40 a day, and Company B charges $20 a day plus a $60 one-time fee. For what number of days with the cost of both moving trucks be the same?

Multiple Choice

Using Jeremy's scenario, what would be the variable for this situation?

• number of days

• cost of the moving truck

Jeremy needs to rent a moving truck. Company A charges $40 a day, and Company B charges $20 a day plus a $60 one-time fee. For what number of days with the cost of both moving trucks be the same?

Variable- number of days

Multiple Select

Looking at the key words in Jeremy's scenario, what some of the operations involved be?

• multiplication

• equal

• addition

• divide

Multiple Choice

Which equation best matches Jeremy's scenario?

• $$40d\ +\ 60\ =\ 20d$$

• $$40d\ =\ 20d\ +60$$

• $$40d\ -\ 60\ =\ 20d$$

Fill in the Blanks

What is the final answer for how many days it would take for the 2 moving trucks to cost the same amount?

$40d\ =\ 20d\ +\ 60$  

Final Practice

Answer the next questions about math operation terms and word problems.

Multiple Choice

Which equation would describe "two times a number plus five equals 15"?

• x + 5 = 15
• 2x + 5=15
• x + 2(5) = 15
• 2(x + 5) = 15

Multiple Choice

5 less than a number is 15.

• x - 5 = 15
• 5 - x = 15
• 15 - x = 5

Multiple Choice

Two more than 4 times a number is -18.

• 4x + 2 = -18
• 2x + 4 = -18
• 18 = 4x +2

Multiple Choice

Twice a number is 24.

• 2n = 24
• 2/n = 24
• 2 + n = 24
• 2 - n = 24

Multiple Choice

Which matches the expression below?

2x − 8

• The difference of two and eight times a number.

• Eight less than the product of a number and two.

• Two times a number increased by eight.

Multiple Choice

2. Cheryl gets paid $8 per hour for her job at the record store and $15 for working late on Saturday.  She made a total of $96 last week.  Which equation models this situation?

• 96h + 15 = 8
• h/96 = 8
• 8h + 15 = 96
• h/8 = 96

Multiple Choice

Five less than twice a number is equivalent to thirty.

• 5x - 2 = 30

• x - 5 = 30

• 2x - 5 = 30

• 5 - 2x = 30

Multiple Choice

Which matches the equation below?

3x −11 = 17

• Eleven less than the product of a number and three equals seventeen.

• Three times a number, increased by seventeen is eleven.

• Seventeen less than the product of three and a number is eleven.

Multiple Choice

Seven friends bought pizza.  Each friend pitched in the same amount.  If the pizza came to a total of $14.49, how much did each friend pay?

• 7 - p = $14.49
• 7p = $14.49
• 7 + p = $14.49
• 7/p = $14.49

Multiple Choice

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