Solving Equations and Expressions

The video tutorial covers the mid-chapter checkpoint for chapter 8, focusing on equations and inverse operations. It explains how to write and solve equations, isolate variables, and apply these skills to word problems. The lesson also includes working with fractions and converting them to mixed numbers. The tutorial concludes with a final problem and encourages students to study for their upcoming test.

What is the purpose of today's lesson?

• To introduce a new chapter

• To review a previous chapter

• To complete a mid-chapter checkpoint

• To discuss a new mathematical concept

What is a statement that two mathematical expressions are equal called?

• An equation

• An operation

• A function

• A variable

Which of the following are inverse operations?

• Adding and subtracting

• Adding and multiplying

• Multiplying and dividing

• Subtracting and dividing

How would you write the equation for 'the sum of a number and 4.5 is 8.2'?

• N / 4.5 = 8.2

• N * 4.5 = 8.2

• N + 4.5 = 8.2

• N - 4.5 = 8.2

If 3 times a cost is 24, how would you express this as an equation?

• 3 / C = 24

• 3 * C = 24

• 3 - C = 24

• 3 + C = 24

What is the solution to the equation X - 24 = 58 when X is 82?

• No, 58 is not the solution

• Yes, 58 is the solution

• No, 82 is not the solution

• Yes, 82 is the solution

How do you solve the equation 1/3 * C = 3/8 for C?

• C = 1/3 / 3/8

• C = 3/8 / 1/3

• C = 1/3 * 3/8

• C = 3/8 * 1/3

What is the value of B in the equation B - 1/4 = 3 1/2?

• 3 1/2

• 3 3/4

• 3 1/4

• 4

How do you isolate the variable in the equation 3X - 27 = 0?

• Divide both sides by 3

• Multiply both sides by 3

• Subtract 27 from both sides

• Add 27 to both sides

What equation represents the total number of seats in a stadium if 7,500 are field seats and the rest are grandstand seats?

• S + 7,500 = 18,000

• S - 7,500 = 18,000

• S * 7,500 = 18,000

• S / 7,500 = 18,000