Inequalities and Expressions in Context

This video tutorial covers Math 7 Unit 6 Lesson 14, focusing on finding solutions to inequalities in context. It introduces negative coefficients and emphasizes reasoning over rules. The lesson includes solving equations and inequalities, applying these concepts to real-world scenarios like budgeting, and managing savings. The video concludes with practice problems to reinforce understanding.

What is the main focus of the lesson on inequalities?

• Practicing arithmetic operations

• Memorizing inequality formulas

• Understanding inequalities through logical reasoning

• Using rules to solve inequalities

When solving x = 10 with a negative coefficient, what value should replace x?

• -10

• 1

• 10

• -1

Which number would satisfy the inequality -x > 10?

• 9

• -9

• 11

• -11

In the context of inequalities, what does it mean if a number is less than -10?

• The number is positive

• The number is greater than 10

• The number is less than -10

• The number is equal to 10

Andre earns $25 per week plus $3 per subscription. What expression represents his weekly earnings?

• $3n + $25

• $25 + $3n

• $25n + $3

• $3 + $25n

If Andre wants to buy cleats costing $68, how many subscriptions must he sell?

• 14

• 15

• 13

• 16

Diego budgets $35 for shorts and socks. If shorts cost $19.95, what inequality represents the maximum price per pair of socks?

• 5x + 19.95 ≤ 35

• 5x - 19.95 ≤ 35

• 5x - 19.95 ≥ 35

• 5x + 19.95 ≥ 35

What does the expression 7 - x represent in the context of granola bars?

• The number of granola bars

• The cost per box after discount

• The discount on granola bars

• The total cost of granola bars

If Kieran wants to withdraw money monthly and still have $25 left after a year, what should be the maximum monthly withdrawal?

• $8

• $7

• $6

• $5

What is the correct inequality for the solution to 5 - 3x > 35?

• x ≥ -10

• x = -10

• x < -10

• x > -10