Mathematical Problem Solving

Mr. Richards reviews homework problems from Unit 6, Lesson 2, covering true equations, word problems involving water bottles and pencil lengths, matching equations with solutions, and calculating percentages for vitamin C in oranges and instrument ownership in a band. The session concludes with multiplication of decimals and understanding place value.

Which of the following equations is true?

• 4 2/3 = 5 - 1/3

• 2/3 x 5/9 = 7/12

• 5 + 0 = 0

• 15 x 0 = 0

If Mae drank X ounces of water and 10 ounces were left, which equation represents the situation?

• X + 10 = 24

• 24 - X = 10

• 24 + 10 = X

• 24 / 10 = X

Priya has five pencils each X inches long. If they measure 34.5 inches end-to-end, which equation is correct?

• 34.5 x 5 = X

• 5 + X = 34.5

• 5X = 34.5

• 34.5 / 5 = X

What is the solution to the equation 2x = 4.6?

• 2.3

• 4.6

• 9.2

• 1.15

If 1/8 of F equals 3, what is F?

• 1/8

• 8

• 3

• 24

How many milligrams of vitamin C are in an orange if it contains 75% of the daily allowance of 45 mg?

• 22.5 mg

• 11.25 mg

• 45 mg

• 33.75 mg

If 20% of 90 kids own instruments, how many kids own their instruments?

• 72

• 45

• 90

• 18

What is the product of 0.25 and 1.4?

• 0.25

• 0.5

• 0.35

• 0.14

Calculate the product of 61 and 0.43.

• 262.3

• 0.2623

• 2.623

• 26.23

What is the result of multiplying 1017 by 72?

• 73224

• 75000

• 72000

• 70000