Solving Equations and Percentages

This video tutorial covers Unit 6, focusing on tape diagrams, equations, and their applications. It explains how to use tape diagrams to solve equations, discusses truth in equations, and explores balancing equations. The tutorial also delves into solving equations, interpreting fractions, writing expressions with variables, revisiting percentages, and understanding equal and equivalent expressions.

What does the larger green rectangle represent in the tape diagram for the equation x + 4 = 17?

• The total sum

• The number 17

• The number 4

• The unknown x

If Diego's equation is 5 * x = 35, what is the value of x?

• 5

• 6

• 7

• 8

Which of the following equations is true?

• 15 * 0 = 15

• 1 and 4/10 + 2 and 7/10 = 4 and 1/10

• 4 and 2/3 = 5 - 1/3

• 24 - 10 = 15

How many milligrams of calcium are in one cup of milk if it contains 25% of the recommended daily allowance of 1200 mg?

• 600 mg

• 300 mg

• 150 mg

• 400 mg

What is the value of x if 2x = 14 and 6/200?

• 7 and 1/100

• 7 and 3/100

• 6 and 2/100

• 8 and 1/100

In the equation 3X = 18, what is the value of X?

• 6

• 7

• 8

• 5

If 40% of X is 35, what is the value of X?

• 87.5

• 75

• 90

• 70

Which expression is equivalent to 2b + B when B is 3?

• 3B

• 4B

• 5B

• 6B

If 80% of X equals 100, what is X?

• 125

• 120

• 135

• 130

What is the percentage of a 50-gallon trash bin if it contains 30 gallons?

• 60%

• 50%

• 70%

• 80%