Matching Algebraic Equations to Scenarios

Which equation matches the scenario: 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

Which equation matches the scenario: Erin earns $15.00 a month for allowance. How many months will it take her to save $105.00?

• $15.00 + w = $105.00

• $15.00 - w = $105.00

• $15.00/w = $105.00

• $15.00w = $105.00

A stadium has a total of 18,000 seats. Of these, 7,500 are field seats, and the rest are grandstand seats. Which equation could be used to find the number of grandstand seats s?

• s + 7,500 = 18,000

• s - 7,500 = 18,000

• s + 18,000 = 7,500

• s - 18,000 = 7,500

Which algebraic expression matches the word problem: Jack rode his bike the same number of miles each day. After 5 days, he had ridden 35 miles. How many miles did he ride each day?

• 5n = 35

• n divided by 7 = 5

• 7n = 35

Which equation matches the table?

• y = 4x + 3

• y = 4x -3

• y = 3x + 4

• y = 8x + 2

Which matches the equation below?

• Eight more than three times a number is ten.

• The quotient of eight and a number increased by three equals ten.

• A number divided by three increased by eight is ten.

Match the following.

• 1/2 n + 10

• Half of a number plus 10

• 2n-3

• Twice a number minus 3

• 2n + 6

• Three times a number minus 5

• 3n-5

• Four less than twice a number

• 2n-4

• two times a number plus 6

Choose the verbal phrase that matches the algebraic expression.

• the product of a number and 37

• the sum of 37 and a number

• 8 more than 37 times a number

• 37 more than 8 times a number

Write an expression to represent the following situation.

Susan's age in three years, when a represents her present age.

Mathematical Equivalence

ON

Mrs. Guang purchased four airline tickets to Florida. She will also pay a fee of $55 for an extra piece of luggage. Define a variable and write an expression to represent her total cost of flying to Florida.

• l = (pieces of) luggage

• 4l + 55

• 55t + 4

• t = (number of) tickets

• 4t + 55

• 55l + 4