Solving One and Two-Step Equations

This video tutorial covers the basics of solving one and two-step equations. It explains the components of an equation, such as coefficients, variables, and constants. The tutorial provides step-by-step instructions on using inverse operations to isolate variables in one-step equations and outlines the process for solving two-step equations by first removing constants and then coefficients. Practical examples are given to reinforce the concepts, and tips are provided for handling fractions and checking solutions.

What is the term used for the number that is multiplied by the variable in an equation?

• Coefficient

• Exponent

• Variable

• Constant

In a one-step equation, what operation would you use to isolate the variable if the equation involves division?

• Multiplication

• Division

• Addition

• Subtraction

If you have the equation 12n = 42, what operation would you use to solve for n?

• Addition

• Subtraction

• Division

• Multiplication

In the equation 6/7e = 12, what is the reciprocal of 6/7?

• 7/6

• 1/7

• 6/7

• 1/6

What is the solution to the equation G + 3.5 = 10?

• G = 5.5

• G = 6.5

• G = 7.5

• G = 4.5

In the equation t - 4.25 = 0.25, what is the value of t?

• t = 4.5

• t = 4.25

• t = 4.0

• t = 4.5

What is the first step in solving a two-step equation?

• Remove the coefficient

• Add the constant

• Multiply by the reciprocal

• Remove the constant

What is the solution to the equation 9m + 14 = -27?

• m = 3

• m = -3

• m = 2

• m = -2

Lucy rents a bike for $12 plus $3 per hour. If she spent $30, how many hours did she rent the bike?

• 6 hours

• 5 hours

• 4 hours

• 7 hours

Paul is scuba diving and descends at a rate of 0.5 feet per minute. If he is now at 12 feet below sea level, how many minutes has he been diving?

• 24 minutes

• 15 minutes

• 20 minutes

• 17 minutes