Equation Solving and Absolute Value Concepts Quiz

What is the first step in solving the equation 3(2x + 5) = 9 + 3x?

• Divide by 3

• Distribute the 3

• Subtract 3x from both sides

• Combine like terms

When solving equations with fractions, what is a common mistake students make?

• Forgetting to add terms

• Multiplying by the wrong number

• Not distributing the multiplier to all terms

• Combining terms incorrectly

How do you eliminate denominators in an equation?

• Add the denominators together

• Divide each term by the smallest denominator

• Multiply each term by the least common multiple

• Subtract the denominators

What does it mean if you solve an equation and get a statement like 5 = 5?

• There are infinite solutions

• There is no solution

• There is one solution

• The equation is incorrect

What is the absolute value of -4?

• -4

• 8

• 0

• 4

How many solutions do you typically find when solving an absolute value equation?

• One

• Two

• Three

• None

What should you do if an absolute value equation equals a negative number?

• Conclude there is no solution

• Solve for two solutions

• Multiply by -1

• Check for extraneous solutions

In the context of absolute value equations, what is an extraneous solution?

• A solution that satisfies the equation

• A solution that is positive

• A solution that does not satisfy the original equation

• A solution that is negative

What is the central value in the absolute value equation for Martin's dumbbells?

• 0.15

• 5

• 5.15

• 4.85

What is the range of weights Martin guarantees for his dumbbells?

• 4.85 to 5.15 pounds

• 5 pounds

• 0.15 pounds

• 5 to 5.15 pounds