Solving Two-Step Equations and Concepts

The video tutorial by Stan Lyall introduces algebra as a game with rules, focusing on solving equations. It covers basic algebra rules, solving one-step and two-step equations, and addresses complex equations and word problems. The tutorial emphasizes practical applications and encourages practice through worksheets and interactive questions.

What is the main idea presented about algebra in the introduction?

• Algebra is a complex subject.

• Algebra is unrelated to games.

• Algebra is like a game with rules.

• Algebra is only about numbers.

What is the first rule of solving algebraic equations?

• Make the same change to both sides of the equation.

• Add numbers randomly to the equation.

• Subtract numbers from only one side.

• Change only one side of the equation.

What is the goal when solving an equation?

• To remove all numbers.

• To make the equation more complex.

• To isolate the variable.

• To add more variables.

How do you solve an equation with multiplication?

• By adding numbers to both sides.

• By multiplying both sides by zero.

• By dividing both sides by the same number.

• By subtracting numbers from both sides.

What is a two-step equation?

• An equation that can be solved in one step.

• An equation that requires two operations to solve.

• An equation with only one variable.

• An equation with no variables.

In a two-step equation, which operation should you address first?

• Exponentiation.

• Addition or subtraction.

• Multiplication or division.

• Square roots.

How do you solve the equation 3y + 9 = 30?

• Add 9 to both sides, then multiply by 3.

• Divide by 3, then subtract 9.

• Subtract 9 from both sides, then divide by 3.

• Multiply by 3, then add 9.

What is the first step in solving 44 = 5a - 7 + 12a?

• Subtract 7 from both sides.

• Add 12 to both sides.

• Combine like terms.

• Divide by 5.

How do you solve the word problem involving a cell phone bill?

• Subtract 48 from 30.

• Multiply the numbers by 2.

• Use the equation 30 + 0.25t = 48.

• Add all the numbers together.

What is the perimeter of a rectangle with sides x and 2x?

• 4x

• 6x

• 3x

• 8x