Distributive Property and Solving Equations

Evelyn, Grace, and Jackson are playing a game of 'Math Detective'. They come across a mysterious equation: 7(4x + 3) = 49. Can you help them find the value of x?

• x = 3

• x = 10

• x = 2

• x = 5

Harper, Ava, and Avery are on a treasure hunt. They find a clue that reads: 'To find the treasure, solve this riddle: 9(2x + 5) = 81. What is the value of x that will lead them to the treasure?'

• x = 10

• x = 5

• x = 2

• x = 3

David, Ava, and Sophia are playing a game of numbers. David comes up with a tricky challenge. He says, 'If you can determine the value of x in the equation 11(5x + 4) = 99, you win!'

• x = 1

• x = 10

• x = 5

• x = 3

2(2x - 1) = 10

• 3

• 2

• 6

• 2.25

9(2x+8) = 270

• x = -7

• x = -5

• x = 11

• x = 12

• x= 12
• x= -12
• x= -22
• x= 22

Apply the Distributive Property as the first step.
20(x + 1) = 200

• x = 9

• x = 180

• x = -9 

• x = -180

Which of the following is equivalent to 9(5c + 4)?

• 45c + 36

• 81c

• 45c + 4

• 49c

9(x + 9) = 90

• x = 1

• x = 9

• x = -1

• x = 19

6(2x + 2)

• 24x

• 12x + 12

• 12x + 2