Solving Two-Step Equations in Grade 7 Math

This video tutorial explains how to solve two-step algebraic equations. It begins with an introduction to the concept, followed by a detailed example of solving the equation 7x + 3 = 38. The process involves isolating the variable x by performing inverse operations. The solution is then verified by substituting the value back into the original equation. The video concludes with a summary of the steps involved in solving two-step equations.

What is a two-step equation?

• An equation that requires calculus

• An equation that can be solved without any steps

• An equation that only involves addition

• An equation that can be solved in two steps

Tags

CCSS.7.EE.B.4A

In the equation 7x + 3 = 38, what is the first step to solve for x?

• Divide both sides by 7

• Subtract 3 from both sides

• Add 7 to both sides

• Multiply both sides by 3

Tags

CCSS.7.EE.B.4A

What is the inverse operation of addition in the context of solving equations?

• Exponentiation

• Subtraction

• Division

• Multiplication

Tags

CCSS.HSA.REI.A.1

After subtracting 3 from both sides of the equation 7x + 3 = 38, what is the new equation?

• 7x = 41

• 7x - 3 = 38

• 7x + 3 = 35

• 7x = 35

Tags

CCSS.HSA.REI.A.1

What is the next step after getting 7x = 35 to solve for x?

• Add 7 to both sides

• Subtract 7 from both sides

• Multiply both sides by 7

• Divide both sides by 7

Tags

CCSS.6.EE.B.7

What is the solution for x in the equation 7x = 35?

• x = 28

• x = 7

• x = 5

• x = 42

Tags

CCSS.6.EE.B.7

How do you check if your solution for x is correct in the equation 7x + 3 = 38?

• Add 3 to the solution

• Substitute x with the solution in the original equation

• Divide the solution by 7

• Multiply the solution by 7

Tags

CCSS.6.EE.B.5

What is the result when you substitute x = 5 into the equation 7x + 3?

• 42

• 40

• 35

• 38

Tags

CCSS.6.EE.A.2C

Why is it important to perform the same operation on both sides of an equation?

• To eliminate all variables

• To change the equation into a one-step equation

• To make the equation more complex

• To keep the equation balanced

Tags

CCSS.6.EE.B.7

What is the inverse operation of multiplication when solving equations?

• Addition

• Division

• Subtraction

• Exponentiation

Tags

CCSS.HSA.REI.A.1