Inequalities and Expressions Practice

This video tutorial covers Math 7 Unit 6 Lesson 21, focusing on combining like terms and writing equivalent expressions. It includes an analysis of student solutions, highlighting common errors in applying the distributive property and order of operations. The tutorial also explores how parentheses affect expressions and provides homework problems involving inequalities and proportions.

What is the result of distributing 2 in the expression 2(3 - 7)?

• 5 + 14

• 6 + 14

• 5 - 14

• 6 - 14

Which student's approach was correct in simplifying the expression 8 - 3(4 - 9x)?

• Andre

• Jada

• Lynn

• Noah

Where can parentheses be added in 8x - 9 - 12x + 5 to keep it equivalent?

• Around 9 - 12x

• Around the entire expression

• Around 8x - 9

• Around -12x + 5

In the expression 9x - 2x + 4x, what is the correct simplification?

• 3x

• 5x

• 7x

• 11x

If a school band has a budget of $750 for uniforms and fees, how much can they spend per uniform if fees are $300?

• $50

• $40

• $30

• $20

What is the inequality to represent Elena keeping at least $42 from her earnings?

• 7(9 - x) ≥ 42

• 7(9 + x) ≤ 42

• 7(9 + x) ≥ 42

• 7(9 - x) ≤ 42

How many quarts of blue paint are needed if the ratio is 1.5 quarts of blue to 6.5 quarts total?

• 3.0 quarts

• 5.0 quarts

• 4.5 quarts

• 3.8 quarts

What is the correct interpretation of the inequality 9 - 7x < 6?

• x is greater than 3/7

• x is less than 3/7

• x is equal to 3/7

• x is not equal to 3/7

What is the correct simplification of 5x - 15 - 20x + 10?

• 15x + 5

• -15x - 5

• -15x + 5

• 15x - 5

What is the correct solution for the inequality 15x + 300 ≤ 750?

• x ≥ 20

• x ≤ 30

• x ≥ 30

• x ≤ 20