Solving One-Step Equations with Negatives

The video tutorial covers solving one-step equations using addition and subtraction, focusing on equations involving negative numbers. It emphasizes the importance of isolating the variable and keeping the equation balanced. The tutorial explains the addition and subtraction properties of equality and provides two examples to demonstrate solving equations. The first example involves solving x - 5 = -1, and the second example involves solving z + 3/2 = 1/2. The video concludes with a word problem about a skydiving company's profit, illustrating how to write an equation to find the previous week's profit.

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

• To eliminate the variable

• To simplify the equation

• To balance the equation

• To find the value of the variable

What must you do to keep an equation balanced?

• Multiply both sides by the same number

• Perform the same operation on both sides

• Subtract the same number from both sides

• Add the same number to both sides

What does the addition property of equality state?

• Multiplying each side by the same number keeps the equation balanced

• Subtracting the same number from each side keeps the equation balanced

• Adding the same number to each side keeps the equation balanced

• Dividing each side by the same number keeps the equation balanced

In Example 1, what operation is used to isolate the variable x?

• Division

• Addition

• Subtraction

• Multiplication

What is the result of solving the equation x - 5 = -1?

• x = -6

• x = -4

• x = 6

• x = 4

In Example 2, what is the first step to solve the equation involving fractions?

• Multiply the fractions

• Convert the subtraction to addition

• Subtract the fractions

• Add the fractions

What is the value of z in the equation 1/2 - 3/2?

• z = 1

• z = -1

• z = 2

• z = -2

What is the profit this week for the skydiving company?

• $1500

• $1650

• $900

• $750

Which equation represents the relationship between this week's profit and last week's profit?

• p = 750 - 900

• p = 750 + 900

• 750 = 900 - p

• 750 = p + 900

What is the correct equation to find last week's profit?

• p = 750 + 900

• 750 = 900 - p

• 750 = p + 900

• p = 750 - 900