Solving Equations Using the Distributive Property

The video tutorial covers simplifying and solving equations, focusing on the use of the distributive property and reverse order of operations (PEMDAS). It provides examples of solving linear equations and translating word problems into equations. Additionally, it addresses solving area and perimeter problems using equations, offering a comprehensive guide to these mathematical concepts.

What must an expression have to be in its simplest form?

• No variables

• Only positive numbers

• Only addition and subtraction

• No parentheses and no like terms

What is the result of distributing 3 times (a + 9)?

• 3a + 9

• 3a + 3

• 3a + 27

• 3a + 18

When distributing a negative number, what should you remember?

• It affects all terms inside the parentheses

• It becomes positive

• It stays negative

• It affects only the first term

What is the first step in solving an equation using the reverse order of operations?

• Parentheses

• Exponents

• Addition and subtraction

• Multiplication and division

What is the result of solving 3x + 30 = 60?

• x = 20

• x = 40

• x = 10

• x = 30

How do you handle multiple distributive properties in an equation?

• Only distribute the first term

• Combine them into one step

• Ignore one of the properties

• Distribute each term separately

What is the simplified form of 3F + 4F?

• 12F

• 3F

• 4F

• 7F

What is the equation for the sum of a number and 8, multiplied by 3, equals 12?

• 3(n + 8) = 12

• 3n + 8 = 12

• n + 8 = 12

• 3(n - 8) = 12

How do you find the area of a rectangle?

• Add the length and width

• Multiply the length by the width

• Divide the length by the width

• Subtract the width from the length

What is the perimeter of a rectangle with length 3x + 2 and width 2x + 5, if the perimeter is 84 units?

• 84 = 3x + 2 / 2x + 5

• 84 = 3x + 2 - 2x + 5

• 84 = 3x + 2 + 2x + 5

• 84 = 2(3x + 2) + 2(2x + 5)