Solving Equations and Inequalities Word Problems

On Monday Joe bought 10 cups of coffee and 5 doughnuts for his office at the cost of $16.50. On Tuesday he bought 5 cups of coffee and 10 doughnuts for a total of $14.25. Which equations could be used to determine the cost of the coffee?

• 10c + 5d = 14.25
  5c + 10d = 16.50

• 10c + 5d = 16.50
  5c + 10d = 14.25

• c + d = 10
  5c + 10d = 16.50

• c + d = 5
  5c + 10d = 16.50

Translate the following:

2x - 8 ≤ 3

• Eight less than twice a number is less than or equal to 3

• A number squared less than eight is less than 3

• Twice a number less than eight is less than 3

• Eight less than a number squared is less than or equal to 3

Match the sentence to the correct inequality.

Twice the difference of a number and 10 is less than 30

• 2 x + 10 = 30

• 2 ( x-10) < 30

• 2x - 10 < 30

Write as an equation or inequality:

The quotient of a number divided by 5 is 3 less than 7

There are 6 questions on Equations and Inequalities( Lesson 4-4, page 128-129)

Write as an equation or inequality:

The product of 7.9 and 16 is greater than 7

• 7.9 + 16 <7

• 7.9 + 16 >7

• 7.9 x 16 > 7

• 7.9 x 16 < 7

The combined weight of a truck and its cargo load cannot exceed 5,000 pounds. The cargo load weighs 2,200 pounds. Which of the following could be the weight of the truck?

• 0 pounds

• 3,800 pounds

• 2,700 pounds

• 4,900 pounds

There are 6 questions on Equations and Inequalities( Lesson 4-4, page 128-129)

Find the value of y.

201.55 x 100 = y

• 0.20155

• 201,550

• 20,155

• 2,015.5

The 30 members of a choir are trying to raise at least $1,500 to cover travel costs to a singing camp. They have already raised $600. Which inequality could you solve to find the average amounts each member can raise that will at least meet the goal?

• 30x + 600 > 1,500

• 30x + 600 ≥ 1,500

• 30x + 600 < 1,500

• 30x + 600 < 1,500

Sam make $10.25 per hour working at Cheddars.  He plans to buy a laptop for $550.  Write and solve an inequality describing how many hours h Sam will have to work to be able to buy the laptop. (Round to the next higher hour)

• 10.25h < 550; less than 54 hours

• 10.25h > 550; greater than 54 hours

• 10.25h ≤ 550; at most 54 hours

• 10.25h ≥ 550; at least 54 hours

A taxi cab costs $1.75 and $0.75 for each additional mile. You have $20 to spend on you ride. Which inequality could be solved to find how many miles you can travel, if m is the number of additional miles?

• 1.75n + 0.75 ≥ 20

• 1.75n + 0.75 ≤ 20

• 0.75n + 1.75 ≥ 20

• 0.75n + 1.75 ≤ 20