Solving Expressions and Inequalities

This video tutorial covers Math 7 Unit 6 Lesson 19 on expanding and factoring expressions using the distributive property. It explains the importance of parentheses and order of operations, and provides practice with negative numbers. The lesson includes solving equations and inequalities, and offers homework problems for further practice. Key concepts include using the distributive property to expand and factor expressions, understanding common factors, and applying these skills to solve mathematical problems.

What is the first step in solving an expression with parentheses?

• Subtract the numbers first

• Multiply the numbers first

• Divide the numbers first

• Add the numbers first

When expanding the expression -3 * (5 - 2y), what is the result?

• -15 - 6y

• 15 - 6y

• 15 + 6y

• -15 + 6y

What is the common factor in the expression 6a - 2b?

• 2

• b

• 6

• 3

How do you factor the expression 4x - 12x + 20x?

• 4x(x - 3x + 5)

• 4x(-x - 3x + 5)

• 4x(-x + 3x - 5)

• 4x(x + 3x - 5)

In the paint mixing problem, how many cups of purple paint can be made with 2/3 cup of white paint?

• 5 cups

• 7 cups

• 6 and 2/3 cups

• 6 cups

What is the solution to the equation -18d - 4 = -38?

• d = 3

• d = -3

• d = 29

• d = -29

What is the result of solving the inequality -4x < 20?

• x < -5

• x > -5

• x < 5

• x > 5

How do you solve the equation 10b - 45 = -43?

• b = -5

• b = 5

• b = -1/5

• b = 1/5

What is the correct way to factor the expression 12x - 8?

• 6(2x - 1)

• 2(6x - 4)

• 3(4x - 2)

• 4(3x - 2)

What is the solution to the equation 3.2s + 10 = 32?

• s = 3

• s = 0

• s = 1

• s = 2