Solving Equations and Operations

The video tutorial covers solving various math problems, including calculating additional miles cost, isolating variables, applying the distributive property, finding temperature differences, calculating distances, analyzing costs, and solving equations. It also includes corrections and integer operations practice.

What is the cost of each additional mile if the total cost is $10 and the first mile costs $1.50?

• $1.00

• $0.75

• $0.50

• $1.25

What is the correct equation for calculating the total cost of a trip with a base fare and additional miles?

• Base fare + (miles x cost per mile)

• Base fare - (miles x cost per mile)

• Base fare x (miles + cost per mile)

• Base fare / (miles x cost per mile)

If you solve the equation 2.5T = -32.5, what is the value of T?

• -12

• -10

• -15

• -13

If T equals -13, what operation was used to isolate T in the equation 2.5T = -32.5?

• Multiplication

• Addition

• Subtraction

• Division

Which property is used to prove the correct answer in problem 3?

• Identity Property

• Commutative Property

• Distributive Property

• Associative Property

What is the result of applying the distributive property to the expression 3(x + 4)?

• 3x + 7

• 3x + 4x

• 3x + 12

• 3x + 4

What is the difference in temperature if the highest is 96 degrees and the least is 12 degrees?

• 12 degrees

• 96 degrees

• 78 degrees

• 84 degrees

If the temperature drops 12 degrees per hour, how many hours will it take to drop 96 degrees?

• 6 hours

• 8 hours

• 10 hours

• 12 hours

How do you find the distance between -5 and -14 on a number line?

• Multiply the numbers

• Subtract the lesser from the greater

• Add the numbers

• Divide the numbers

What is the result of -5 minus -14?

• 19

• 9

• -19

• -9