Solving 2 Step Equations: Day 2 Challenge

This video tutorial covers the process of solving two-step equations using distribution. It begins with an introduction to key terms such as variables, constants, and coefficients. The instructor then explains the distributive property and demonstrates how to apply it to solve equations. Several example problems are solved step-by-step, highlighting the importance of distributing first before isolating the variable. The tutorial concludes with a reminder to practice these techniques in class.

What is a coefficient in a mathematical expression?

• A number that divides a variable

• A number that multiplies a variable

• A number that is subtracted from a variable

• A number that is added to a variable

What does the distributive property allow you to do?

• Add numbers inside parentheses

• Multiply out the coefficient of parentheses

• Subtract numbers inside parentheses

• Divide numbers inside parentheses

In the equation 6(2N + 1) = 78, what is the first step to solve it?

• Add 6 to both sides

• Distribute 6 to both terms inside the parentheses

• Subtract 6 from both sides

• Divide both sides by 6

After distributing in the equation 6(2N + 1) = 78, what is the resulting equation?

• 12N + 1 = 78

• 6N + 1 = 78

• 6N + 2 = 78

• 12N + 6 = 78

What is the next step after distributing in the equation 2(x + 2) = -8?

• Divide both sides by 2

• Multiply both sides by 2

• Subtract 4 from both sides

• Add 4 to both sides

What is the value of x in the equation 2(x + 2) = -8?

• x = -12

• x = -4

• x = -6

• x = -8

In the equation 4(2x + 6) = 12, what is the first step to solve it?

• Divide both sides by 4

• Distribute 4 to both terms inside the parentheses

• Subtract 24 from both sides

• Add 24 to both sides

What is the value of x in the equation 4(2x + 6) = 12?

• x = -4

• x = -3

• x = -2

• x = -1.5

In the equation 3(3x - 5) = 30, what is the first step to solve it?

• Distribute 3 to both terms inside the parentheses

• Subtract 15 from both sides

• Divide both sides by 3

• Add 15 to both sides

What is the value of x in the equation 3(3x - 5) = 30?

• x = 3

• x = 6

• x = 4

• x = 5