Solving Multi-Step Equations and Expressions

Stan Lyle from Mastermath introduces solving multi-step equations, focusing on combining like terms, using the distributive property, and isolating variables. He provides examples, including a temperature conversion from Celsius to Fahrenheit, to demonstrate these algebraic techniques. The lesson concludes with practice problems and encourages students to apply the strategies discussed.

What is the first step in solving multi-step equations?

• Using the distributive property

• Isolating the variable

• Combining like terms

• Converting units

Which of the following are considered like terms?

• x^2 and x^3

• 3x and 3y

• 2x^2 and 5x^2

• 4x and 4

How can the expression 6(2x + 5) be simplified using the distributive property?

• 12x + 5

• 6x + 30

• 12x + 30

• 6x + 5

What operation would you use to isolate x in the equation 12x + 9 = y?

• Multiply both sides by 12

• Add 9 to both sides

• Subtract 9 from both sides

• Divide both sides by 12

What is the formula to convert Celsius to Fahrenheit?

• F = (C - 32) * 5/9

• F = C * 9/5 + 32

• F = C * 5/9 + 32

• F = C + 32

If you have the expression -3x + 6x, what is the simplified form?

• 3x

• -3x

• 9x

• 0

What is the final step in solving the equation -6x = 10?

• Add 6 to both sides

• Divide both sides by -6

• Subtract 6 from both sides

• Multiply both sides by -6