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

Tags

CCSS.6.EE.A.2B

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

• Multiplication

• Division

• Addition

• Subtraction

Tags

CCSS.6.EE.B.7

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

• Addition

• Subtraction

• Division

• Multiplication

Tags

CCSS.HSA.REI.A.1

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

• 7/6

• 1/7

• 6/7

• 1/6

Tags

CCSS.6.EE.B.7

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

• G = 5.5

• G = 6.5

• G = 7.5

• G = 4.5

Tags

CCSS.6.EE.B.7

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

Tags

CCSS.6.EE.B.7

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

• Remove the coefficient

• Add the constant

• Multiply by the reciprocal

• Remove the constant

Tags

CCSS.7.EE.B.4A

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

• m = 3

• m = -3

• m = 2

• m = -2

Tags

CCSS.7.EE.B.4A

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

Tags

CCSS.7.EE.B.4A

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

Tags

CCSS.7.EE.B.4A