Solving One-Variable Equations: From Basics to Multi-Step

What is an equation primarily composed of?

• Two equal variables

• Two expressions set equal to each other

• Two different operations

• Two unequal terms

What operation would you use first to solve the equation 7n - 3 = -38?

• Multiply by 7

• Subtract 3

• Divide by 7

• Add 3

In the equation x^2 - 2x = 100, what is the first step to isolate x?

• Subtract 100

• Add 2x

• Divide by x

• Square root the entire equation

What is the correct sequence of operations to solve the equation x^2 * -2 - 2 = -100?

• Add 2, divide by -2, square root

• Square root, add 2, divide by -2

• Divide by -2, add 2, square root

• Add 2, square root, divide by -2

How do you eliminate the fraction in the equation 1/3n - 2 = 12?

• Multiply by 3

• Subtract 12

• Add 2

• Divide by 3

What is the result of combining like terms in the expression -5x + 35x?

• -30x

• 40x

• 30x

• -40x

What does distributing a number across a parenthesis involve?

• Adding the number to each term inside

• Subtracting the number from each term inside

• Multiplying the number with each term inside

• Dividing each term inside by the number

What type of solution does the equation x + 4 = x + 5 have?

• No solution

• Cannot be determined

• One solution

• Infinitely many solutions

If an equation has the same term on both sides after simplification, what does it imply?

• Infinitely many solutions

• No solution

• The equation is incorrect

• One specific solution

How do you handle an equation with a variable on both sides?

• Combine like terms

• Isolate all variables on one side

• Multiply both sides by the variable

• None of the above