Mathematical Problem Solving Techniques

This video covers Math 7 Unit 5 Lesson 13 on expressions with rational numbers. It begins with an introduction to rational numbers, followed by exercises to determine the truth of statements involving these numbers. The lesson progresses to detailed computations with rational numbers, including multiplication and division of fractions and negative numbers. An activity involving the vertical positioning of animals on a coordinate axis is also included. The video concludes with homework problems focusing on ratios, percentages, and problem-solving strategies.

When multiplying two negative numbers, what is the result?

• Undefined

• Zero

• Negative

• Positive

If a = -12, what is the result of -a?

• -12

• 0

• -1/12

• 12

Which expression has the largest value when a = 1/2 and b = 6?

• a^2

• a / b

• b^3

• -4b

What is the vertical position of a dragonfly if D = -B and B = -2?

• -2

• 2

• 0

• -4

How much coffee is needed for 33 oz of water if the ratio is 2 tablespoons for 6 oz?

• 10 tablespoons

• 11 tablespoons

• 12 tablespoons

• 13 tablespoons

What is the sales tax rate if an item costs $3.25 and the total with tax is $3.51?

• 8%

• 9%

• 7%

• 6%

If a runner takes 17.5 minutes to run 2.5 km, how long will it take to run 10 km?

• 70 minutes

• 60 minutes

• 65 minutes

• 75 minutes

What is the result of -22 + 5?

• 27

• -27

• 17

• -17

If x = -1/4, which expression is the greatest?

• -1/4 / 1/4

• -1/4 + 1

• -1/4 - 1

• 1 - 1/4

Which of the following is a correct sum that equals -3/4?

• -1/2 + 1/4

• -1/4 + 1/2

• -1/2 - 1/4

• -1/4 - 1/2