Understanding Two-Step Equations

What is the primary objective of the lesson on two-step equations?

• To learn how to graph equations

• To solve equations of the form p(x + q) = r

• To explore linear inequalities

• To understand quadratic equations

What is the first step in the alternative method to solve 5(x + 6) = 40?

• Add 6 to both sides

• Divide both sides by 5

• Distribute the 5

• Subtract 6 from both sides

How do you verify the solution of an equation after solving it?

• By substituting the solution back into the original equation

• By checking the solution with a calculator

• By solving a different equation

• By graphing the equation

What is the reciprocal of two-thirds?

• Three-fourths

• Three-halves

• One-third

• Two-thirds

In the equation 2/3(x - 5) = -4, what is the result after multiplying both sides by the reciprocal?

• x - 5 = -8

• x - 5 = 6

• x - 5 = -6

• x - 5 = 8

What is the regular price of a shirt if the discounted price is $65 for four shirts, each $3.50 off?

• $19.75

• $20.00

• $16.25

• $18.50

How do you set up an equation to find the regular price of a shirt given a discount?

• Set the regular price minus the discount times the number of shirts equal to the total price

• Subtract the discount from the total price

• Add the discount to the total price

• Multiply the discount by the number of shirts

Why might it be easier to use the distributive property in some equations?

• When the equation involves fractions

• When the number outside the parentheses is a factor of the other side

• When the number outside the parentheses is not a factor of the other side

• When the equation is already simplified

What is the result of distributing 3 in the equation 3(x + 2) = 13?

• 3x + 6 = 13

• 3x + 2 = 13

• 3x + 6 = 15

• 3x + 2 = 15

What is the fractional form of the solution to 3x = 7?

• 2 and 1/3

• 7/3

• 3/7

• 2.33