Expressions, Equations, and Tape Diagrams

 $2x\ +\ 4\ =\ 4\ +\ 2x$  

What property represents this expression?

• Associative Property

• Commutative Property

• Distributive Property

• Property of Addition

 $3\left(y\ +\ 1\right)\ =\ 3y\ +\ 3$  

What property represents this expression?

• Associative Property

• Commutative Property

• Distributive Property

• Property of Addition

 $2x\ +\ 4$  

Choose an equivalent expression that matches the expression above.

•  $2\left(x\ +\ 4\right)$  

•  $4\ +\ 2x$  

•  $4\ -\ 2x$  

•  $4\ \left(\ x\ +\ 2\right)$  

 $3\left(x\ +\ 1\right)$  

Choose an equivalent expression that matches the expression above.

•  $3x\ +\ 3$  

•  $3x\ +\ 1$  

•  $3x\ +\ 4$  

 $7x\ +\ 3\ =\ 10$  

What equivalent equation matches the equation above?

•  $3\ +\ 10\ =\ 7x$  

•  $10\ =\ 7x\ +\ 3$  

•  $\frac{10}{3}\ +\ 7x$  

 $2\left(y\ +\ 1\right)\ =\ 8$  

What equivalent equation matches the one above?

• 2y + 1 = 8

• y + 2 = 8

• 2y + 2 = 8

• 2y - 1 = 8

What equation matches this tape diagram?

• y + 2 = 30

• 5y + 2 = 30

• 5(y + 2) = 30

What equation matches this tape diagram?

• 4x + 24 = 60

• x + 24 = 60

• 2x + 24 = 60

 $5x\ +\ 10\ =\ 40$  

What is the value of "x" that makes this equation true?
(What is "x" equal to)

•  $x\ =\ 3$  

•  $x\ =\ 4$  

•  $x\ =\ 5$  

•  $x\ =\ 6$  

 $9\left(x\ +\ 2\right)\ =\ 27$  

•  $x\ =1$  

•  $x\ =\ 2$  

•  $x\ =\ 3$  

•  $x\ =\ 4$