Solving One Step Equations with Integers

The video tutorial explains how to solve one-step equations using integers. It covers the process of isolating the variable by performing opposite operations on both sides of the equation. Two examples are provided: solving x + 7 = -24 and x - 9 = -21. The tutorial emphasizes understanding integer operations and provides analogies to aid comprehension.

What is the main goal when solving a one-step equation?

• To isolate the variable on one side of the equation

• To divide both sides of the equation

• To multiply both sides of the equation

• To add numbers to both sides of the equation

What operation should be performed to undo addition in an equation?

• Division

• Multiplication

• Subtraction

• Addition

In the equation x + 7 = -24, what is the first step to isolate x?

• Add 7 to both sides

• Multiply both sides by 7

• Divide both sides by 7

• Subtract 7 from both sides

What is the result of -24 - 7?

• 17

• 31

• -17

• -31

How can the subtraction problem -24 - 7 be rewritten?

• 24 - 7

• -24 + (-7)

• -24 + 7

• 24 + 7

What is the solution to the equation x + 7 = -24?

• x = 31

• x = -31

• x = -17

• x = 17

In the equation x - 9 = -21, what operation should be performed to isolate x?

• Add 9 to both sides

• Subtract 9 from both sides

• Divide both sides by 9

• Multiply both sides by 9

What is the result of -21 + 9?

• 12

• 30

• -12

• -30

When adding integers with different signs, what should you do?

• Subtract their absolute values and keep the sign of the larger number

• Add their absolute values and keep the sign of the larger number

• Add their absolute values and keep the sign of the smaller number

• Subtract their absolute values and keep the sign of the smaller number

Using the money analogy, if you lose 21 dollars and gain 9 dollars, what is your net loss?

• 9 dollars

• 21 dollars

• 30 dollars

• 12 dollars