Solving One Step Equations Challenge

This video tutorial introduces solving equations, transitioning from expressions and incorporating negatives. It outlines key rules: maintaining balance by performing operations on both sides, using inverse operations to solve, and checking solutions. Examples demonstrate solving equations with addition, subtraction, multiplication, and division, emphasizing the importance of showing work and understanding the process. The tutorial concludes with practice problems to reinforce learning.

What must be done to both sides of an equation to maintain its balance?

• Nothing, equations are always balanced

• Only multiply by variables

• Only add constants

• Perform the same operation on both sides

What is the first step in solving any equation?

• Draw a line through the equal sign

• Perform the inverse operation

• Identify operations performed on the variable

• Isolate the variable

What is the opposite operation of addition used in solving equations?

• Multiplication

• Subtraction

• None of the above

• Division

What is the result of subtracting 8 from both sides of the equation W + 8 = 13?

• W = 8

• W = 5

• W = 21

• W = -5

If a variable is multiplied by 4, what operation will isolate the variable?

• Multiply by 4

• Divide by 4

• Subtract 4

• Add 4

When solving 4x = -8, what operation isolates x?

• Subtraction

• Addition

• Division

• Multiplication

How do you solve an equation with a variable divided by a negative number?

• Multiply by the negative number

• Divide by the negative number

• Add the negative number

• Subtract the negative number

What must you always do after solving an equation?

• Perform a check by substituting the solution

• Start over

• Erase all work

• Solve another equation

How do you handle equations with negative numbers?

• Ignore the negatives

• Change subtraction to adding the opposite

• Only use addition

• Equations with negatives cannot be solved

What does dividing a variable by 3 and then multiplying by 3 do to the variable?

• Leaves the variable unchanged

• Changes the variable's sign

• Eliminates the variable

• Multiplies the variable by 9