Understanding One-Step Equations with Integers

The video tutorial explains how to solve one-step equations using integers. It begins with an introduction to the concept, emphasizing the goal of isolating the variable. Two examples are provided: solving x + 7 = -24 and x - 9 = -21. The tutorial demonstrates how to perform opposite operations to isolate the variable and solve the equations. It also covers adding and subtracting integers with the same and different signs, using absolute values, and provides a money analogy to aid understanding.

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

• To find the value of the variable

• To eliminate all numbers from the equation

• To make both sides of the equation equal

• To convert the equation into a fraction

In the equation x + 7 = -24, what operation should be performed to isolate x?

• Multiply both sides by 7

• Subtract 7 from both sides

• Add 7 to both sides

• Divide both sides by 7

What is the result of -24 - 7 when rewritten as an addition problem?

• 24 - 7

• 24 + 7

• -24 + (-7)

• -24 + 7

When adding integers with the same sign, what should you do?

• Multiply the numbers

• Ignore the signs and add the numbers

• Subtract their absolute values

• Add their absolute values and keep the sign

In the equation x + 9 = -21, what is the opposite operation of adding 9?

• Dividing by 9

• Multiplying by 9

• Adding 21

• Subtracting 9

What is the result of -21 + 9?

• 30

• 12

• -12

• -30

When adding integers with different signs, what determines the sign of the result?

• The sign of the first number

• The sign of the second number

• The sign of the smaller absolute value

• The sign of the larger absolute value

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

• $21

• $9

• $12

• $30

How can the money analogy help in understanding integer addition?

• By using multiplication instead

• By visualizing gains and losses

• By converting all numbers to positive

• By ignoring the signs

What is the final solution for the equation x + 9 = -21?

• x = -21

• x = 12

• x = -12

• x = 21