Solving One-Step Equations

The video tutorial covers the basics of writing and solving one-step equations, focusing on the properties of equality and inverse operations. It explains how to use addition, subtraction, multiplication, and division to solve equations and provides examples and practice problems. The tutorial also includes real-life applications of equations, emphasizing the importance of isolating variables and checking solutions.

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

• To make both sides zero

• To eliminate all numbers

• To balance both sides of the equation

• To find the value of the variable

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

• Add 7 to both sides

• Divide both sides by 7

• Subtract 7 from both sides

• Multiply both sides by 7

In the context of equations, what does it mean to 'isolate the variable'?

• To multiply the variable by itself

• To set the variable equal to zero

• To solve for the variable

• To remove the variable from the equation

What is the inverse operation of multiplication?

• Exponentiation

• Division

• Addition

• Subtraction

How do you solve the equation 4x = 32?

• Divide both sides by 4

• Subtract 4 from both sides

• Add 4 to both sides

• Multiply both sides by 4

What is the result of dividing both sides of an equation by the same non-zero number?

• The equation becomes undefined

• The equation becomes zero

• The equation remains equivalent

• The equation becomes unbalanced

What is the reciprocal of a fraction used for in solving equations?

• To cancel out fractions

• To multiply fractions

• To subtract fractions

• To add fractions

What is the first step in solving the equation 3x = 9?

• Add 3 to both sides

• Subtract 3 from both sides

• Multiply both sides by 3

• Divide both sides by 3

Which property of equality allows you to add the same number to both sides of an equation?

• Multiplication Property

• Division Property

• Addition Property

• Subtraction Property

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

• 8 hours

• 7 hours

• 6.25 hours

• 5 hours