Equivalent Expressions

Aljae is paid x dollars an hour. He received a 10% raise. Which expression can Aljae use to calculate his new hourly wage?

• 1.10x

• 1.10 + x

• 0.10x

• 0.10 + x

The original price of a pair of shoes is $29.95. The shoes are on sale for 30% off. Which expression would calculate the sale price of the shoes?

• 0.30(29.95)

• 0.70(29.95)

• 29.95 – 0.30

• 29.95 – 0.70

An item was purchased for m dollars. Sales tax is 8%. Which expression represents the total cost, including sales tax?

• m + 0.08

• 1.08m

• 0.08m

• m + 1.08

An electronics store paid $500 for a computer. The store marked up the price of the computer 45%. Later, the computer was on sale for 30% off the marked-up price. Which expression represents the current price of the computer?

• 500(1.015)

• 500(1.15)

• 500(1.75)

• 500(2.015)

Unique wants to buy a bicycle that originally costs $125. It is on sale for 15% off. The sales tax is 6.5%. Which expression represents the final price of the bicycle?

• 125(0.915)

• 125(1.215)

• 125(0.85)(1.065)

• 125(1.15)(0.935)

Angela bought a calculator on sale for 15% off. Sales tax is 7.5%. If the calculator costs x dollars, which expression represents the total cost of the calculator?

• (x – 0.15)(0.075)

• (x – 0.15)(1.075)

• (x – 0.15x)(0.075)

• (x – 0.15x)(1.075)

Ayana purchased a pair of pants that originally cost $50. The pants were discounted 20%, and sales tax is 5%. Which expression would calculate the total cost of the pants?

• 50(0.25)

• 50(0.8)(1.05)

• 50(0.8)(0.95)

• 50(0.75)

Sandra is buying a book from an online store. The book costs $19.95, plus 10% is added for shipping. Sandra will also have to pay a 6% sales tax. Which expression will calculate the total cost for the book?

• (19.95)(0.1)(0.06)

• (19.95)(1.1)(0.06)

• (19.95)(0.1)(1.06)

• (19.95)(1.1)(1.06)

A set of 4 tires for a vehicle costs $750. Sandra has a coupon for 15% off the cost of the tires, before sales tax. Sales tax is 7%. Which expression will calculate the total cost for the tires?

• (750)(0.15)(1.07)

• (750)(0.85)(1.07)

• (750)(0.15)(0.07)

• (750)(0.85)(0.07)

A family goes to a restaurant for dinner. The bill for their meal is $75 before sales tax. Sales tax is 7%. They leave a 15% tip. Which expression will calculate the total bill for the family’s meal?

• 75(0.07)(0.15)

• 75(0.93)(1.15)

• 75(1.07)(0.85)

• 75(1.07)(1.15)