Solving One-Step Algebra Equations

In this Math Antics video, Rob introduces solving simple algebraic equations using addition and subtraction. He explains the importance of maintaining balance in equations, likening them to a balance scale. The video covers strategies for isolating unknown variables by performing the same operations on both sides of the equation. Examples demonstrate solving equations with addition and subtraction, including tricky cases involving negative numbers. The video concludes with a reminder to practice solving equations independently.

What is the primary goal when solving an algebraic equation?

• To perform all arithmetic operations

• To isolate the unknown variable on one side of the equation

• To convert all numbers to fractions

• To add variables to both sides of the equation

What must remain constant when rearranging an equation?

• The number of arithmetic operations used

• The balance between both sides of the equation

• The total number of variables

• The value of the unknown variable

How can you solve the equation x + 7 = 15?

• Multiply both sides by 7

• Subtract 7 from both sides

• Subtract 7 from x

• Add 7 to both sides

What is the result of solving the equation 40 = 25 + x?

• x = 25

• x = 65

• x = 15

• x = 10

How do you solve an equation where a number is subtracted from an unknown, like x - 5 = 16?

• Subtract 5 from both sides

• Add 5 to 16

• Add 5 to both sides

• Divide both sides by 5

What is the solution to the equation 10 = x - 32?

• x = 22

• x = 42

• x = -22

• x = -42

What unique challenge does the equation 12 - x = 5 present?

• The equation does not involve addition or subtraction

• The unknown variable is being added

• The unknown variable is being subtracted from a number

• The equation cannot be balanced

What is the correct first step to solve the equation 12 - x = 5?

• Subtract 12 from both sides

• Add x to both sides

• Add 5 to both sides

• Subtract 5 from both sides

What does the equation x = 7 indicate when solving 12 - x = 5?

• A subtraction mistake was made

• The equation is still unbalanced

• The unknown variable x is equal to 7

• The original equation was incorrect

Why is it important to practice solving algebraic equations?

• To improve calculation speed

• To understand different types of equations

• To memorize all the equations

• To apply learned methods to new problems