Solving Linear Equations and Percentages

This video tutorial covers Unit 6 Lesson 10 cumulative practice problems. It begins with an introduction and overview, followed by solving a problem involving a 30% discount on a backpack. The tutorial then addresses calculating percent decrease in student grades. It explores methods for solving equations, including division and distribution, and solving equations with fractions using reciprocals. The video also discusses finding correct solutions to given expressions and concludes with solving a final equation using two methods.

If a backpack is originally priced at $40 and is on a 30% discount, what is the final sale price?

• $28

• $30

• $32

• $35

How do you calculate the percent decrease in students receiving an 'A' from 16 to 12?

• (12-16)/16

• (16-12)/16

• (12-16)/12

• (16-12)/12

What is the percent decrease when the number of students receiving an 'A' drops from 16 to 12?

• 30%

• 20%

• 35%

• 25%

What is the value of x if 2(x - 3) = 14?

• x = 5

• x = 7

• x = 10

• x = 12

If x - 1 = -8, what is the value of x?

• x = -9

• x = -7

• x = -6

• x = -5

Which expression correctly solves 6(x + 4) = 20?

• 1/6 of (20 - 24)

• 16/6 = 2.67

• 20 - 4 = 16

• 20/6 - 4 = -2.67

What is the solution for x in the equation 6(x + 4) = 20?

• x = -3

• x = -2/3

• x = 2/3

• x = 3

Using the distributive property, what is the first step to solve 7(x + 2) = 91?

• Divide both sides by 7

• Add 2 to both sides

• Multiply 7 by x and 2

• Subtract 2 from both sides

What is the value of x when solving 7(x + 2) = 91 using division first?

• x = 9

• x = 10

• x = 11

• x = 12

Which method gives the same solution for 7(x + 2) = 91?

• Only distributive property

• Only division

• Both methods

• Neither method