Solving Equations and Inequalities

This video tutorial covers solving simple one-step equations using addition, subtraction, multiplication, and division. It emphasizes isolating the variable and maintaining balance in equations. The tutorial includes examples with fractions and decimals, and concludes with a real-life application involving wage calculation.

What is the primary focus of Lesson 1.1?

• Solving multi-step equations

• Factoring polynomials

• Solving one-step equations

• Graphing equations

What is the main goal when solving an equation?

• To isolate the variable

• To simplify the equation

• To find the greatest common factor

• To eliminate all numbers

Which operation would you use to solve the equation D - 1/4 = -1/2?

• Multiply both sides by 4

• Subtract 1/4 from both sides

• Divide both sides by 2

• Add 1/4 to both sides

How do you solve the equation n + 4.8 = 9.2?

• Add 4.8 to both sides

• Subtract 4.8 from both sides

• Multiply both sides by 9.2

• Divide both sides by 4.8

What is the result of solving the equation 2/5m = -4?

• m = -10

• m = 8

• m = -8

• m = 10

How do you solve the equation 3πp = -2/3π?

• Divide both sides by 3π

• Subtract 2/3π from both sides

• Multiply both sides by 3π

• Add 2/3π to both sides

What is the solution to the equation -13.5 = 2.7y?

• y = 4

• y = -5

• y = 5

• y = -4

What is the result of solving the equation x / -2 = -14?

• x = 14

• x = -28

• x = -14

• x = 28

If you earn $9.65 per hour and made $308.80, how many hours did you work?

• 32 hours

• 30 hours

• 33 hours

• 31 hours

What operation is used to solve the equation 9.65H = 308.80?

• Subtraction

• Division

• Addition

• Multiplication