Multi-Step Equations Quiz

What is the first step in solving the equation -3 * (9 + x) = 33?

• Subtract 9 from both sides

• Distribute -3 to both terms inside the parentheses

• Add 3 to both sides

• Multiply both sides by 3

After distributing in the equation -3 * (9 + x) = 33, what is the resulting equation?

• -3x + 27 = 33

• -3x - 27 = 33

• 3x - 27 = 33

• 3x + 27 = 33

In the equation 2 * (10 + T) = 42, what is the value of T after solving?

• 11

• 12

• 10

• 13

What does it mean when an equation simplifies to a statement like 18 = 18?

• The equation is incorrect

• The equation has one solution

• The equation has infinitely many solutions

• The equation has no solution

What is the result when you subtract 12x from both sides of the equation 12x + 24 = 12x + 24?

• 0 = 0

• 24 = 24

• x = 0

• 12 = 12

What type of solution does the equation 6x + 10 = 6x - 20 have?

• Infinitely many solutions

• No solution

• Two solutions

• One solution

In the equation 14x + 12 = 14x + 21, what conclusion can be drawn?

• The equation has no solution

• The equation is incorrect

• The equation has one solution

• The equation has infinitely many solutions

What is the first step in solving the word problem involving Philip and Ann's strides?

• Solve for the total number of steps

• Determine the number of steps each person takes

• Calculate the total distance walked

• Set up variables for each person's stride

If Philip's stride is 4 inches longer than Ann's, and he takes 5 steps to her 6, what is Ann's stride length?

• 20 inches

• 22 inches

• 18 inches

• 16 inches

How do you verify the solution to the word problem involving strides?

• By calculating the average stride length

• By comparing the stride lengths directly

• By ensuring both take the same number of steps

• By checking if the total distance is the same for both