Solving Equations and Temperature Problems

The video tutorial covers writing and solving one-step equations using properties of equality. It explains how to solve equations using addition, subtraction, multiplication, and division, and applies these methods to real-life problems. The tutorial includes examples and checks for correctness, emphasizing the importance of maintaining equivalent equations by performing the same operations on both sides. It concludes with a multiple choice question and a word problem to demonstrate practical applications.

What is the main goal when solving one-step equations?

• To add more variables to the equation.

• To convert the equation into a word problem.

• To eliminate all numbers from the equation.

• To find the value of the variable that makes the equation true.

If you have the equation x - 7 = -6, what should you do to solve for x?

• Add 7 to both sides.

• Subtract 7 from both sides.

• Multiply both sides by 7.

• Divide both sides by 7.

In the equation 1 = w + 6, what operation will isolate w?

• Multiply both sides by 6.

• Subtract 6 from both sides.

• Divide both sides by 6.

• Add 6 to both sides.

What is the reciprocal of the fraction -3/4?

• 4/3

• -3/4

• 3/4

• -4/3

How do you solve the equation -3/4n = -2 using multiplication?

• Multiply both sides by -3/4.

• Multiply both sides by -4/3.

• Divide both sides by -3/4.

• Divide both sides by -4/3.

In the equation πx = 3π, what operation will isolate x?

• Subtract π from both sides.

• Divide both sides by π.

• Multiply both sides by π.

• Add π to both sides.

What is the value of k in the equation (k + 4) / 0.2 = 5?

• 15

• -25

• -15

• 25

If the temperature on Mars decreases by 8 degrees every hour, how many hours will it take to reach -50 degrees from 0 degrees?

• 7 hours

• 6.25 hours

• 6.5 hours

• 5 hours

What is the final temperature on Mars after 6 hours if it starts at 0 degrees and decreases by 8 degrees each hour?

• -60 degrees

• -56 degrees

• -50 degrees

• -48 degrees

At what time will the temperature on Mars be -50 degrees if it starts at 0 degrees at 1 PM and decreases by 8 degrees each hour?

• 7:15 PM

• 8:00 PM

• 6:45 PM

• 7:00 PM