Distributive Property and Equation Solutions

The video tutorial by Mr. Richards covers solving multi-step equations using the distributive property. It includes examples of equations with one solution, infinite solutions, and no solutions. The tutorial also demonstrates checking solutions and solving a word problem involving strides.

What is the first step in solving multi-step equations using the distributive property?

• Add constants to both sides

• Subtract variables from both sides

• Distribute the coefficient across the parentheses

• Combine like terms

In the equation -3(9 + x) = 33, what is the result of distributing -3?

• -27 + 3x

• -27 - 3x

• 27 - 3x

• 27 + 3x

After distributing and simplifying -3(9 + x) = 33, what is the next step?

• Multiply both sides by -3

• Subtract 27 from both sides

• Divide both sides by 3

• Add 27 to both sides

What is the value of x in the equation -3(9 + x) = 33 after solving?

• 20

• -20

• -10

• 10

In the equation 2(10 + t) = 42, what is the result of distributing 2?

• 20 - 2t

• 10 + 2t

• 20 + 2t

• 10 - 2t

What is the value of t in the equation 2(10 + t) = 42 after solving?

• 10

• 13

• 11

• 12

What does it mean when an equation has infinitely many solutions?

• The equation is true for all values of the variable

• The equation has no solution

• The equation is inconsistent

• The equation has a single solution

In the identity equation 3(6 - 4x) = -2(6x - 9), what happens when you simplify both sides?

• You get a contradiction

• You get the same expression on both sides

• You get a single solution

• You get no solution

What is the result of solving the equation 2(3x + 5) = 5(2x - 4) - 4x?

• x = 0

• Infinitely many solutions

• x = 1

• No solution

In the word problem, if Philip's stride is 4 inches longer than Ann's, and Philip takes 5 steps to Ann's 6, what is Ann's stride length?

• 16 inches

• 18 inches

• 20 inches

• 22 inches