Solving Equations and Word Problems

Mr. Matt explains solving two-step equations using algebra tiles. He demonstrates solving equations like 3n + 2 = 11, 2x + 5 = 11, and others. The video covers using inverse operations and order of operations in solving equations. Real-world problems are also addressed, showing how to apply these concepts practically.

What is the first step in solving a two-step equation?

• Multiply both sides by a number

• Add or subtract a number from both sides

• Divide both sides by a number

• Square both sides

In the equation 3n + 2 = 11, what should be done after removing the +2 from both sides?

• Divide both sides by 3

• Subtract 3 from both sides

• Multiply both sides by 3

• Add 3 to both sides

When solving 2x + 5 = 11, what is the value of x?

• 2

• 4

• 3

• 5

In the equation 3n - 1 = 8, what is the first step to isolate n?

• Add 1 to both sides

• Subtract 1 from both sides

• Multiply both sides by 3

• Divide both sides by 3

What is the solution to the equation 2a - 3 = -5?

• a = 2

• a = -1

• a = 1

• a = -2

In the equation -4y + 2 = -2, what is the value of y?

• y = 2

• y = 1

• y = -1

• y = -2

What is the purpose of using inverse operations in solving equations?

• To make the equation more complex

• To simplify the equation

• To eliminate variables

• To check the solution

In the sled weight problem, what is the original weight of the sled?

• 100 pounds

• 110 pounds

• 90 pounds

• 80 pounds

How old are the triplets if the sum of their ages and a 10-year-old sibling is 37?

• 9 years

• 8 years

• 10 years

• 7 years

What is the number if five less than its quotient with 4 equals 15?

• 90

• 60

• 70

• 80