Unit Review: Equivalent expressions

Y.1Fill in the missing number.

1. 1
   $0\times 55=$ ​
2. 2
   $(4\times 5)\times 2=$ $4\times (\boxed{}\times 2)$
3. 3
   $1\times 39=$ ​
4. 4
   $86\times 1=$ ​

Y.2Fill in the boxes. Use the greatest common factor.

1. 5
   $2+10=$ $\boxed{}(\boxed{}+\boxed{})$
2. 6
   $9+45=$ $\boxed{}(\boxed{}+\boxed{})$
3. 7
   $11+99=$ $\boxed{}(\boxed{}+\boxed{})$
4. 8
   $60+36=$ $\boxed{}(\boxed{}+\boxed{})$

Y.3Use the distributive property to write each expression without parentheses.

1. 9
   $9(y+6)$ 
2. 10
   $4(4p+5)$ 
3. 11
   $9(6m+1)$ 
4. 12
   $5(m+1)$ 

Y.4Factor out the greatest common factor.

1. 13
   $30k+12$ 
2. 14
   $18y+21$ 
3. 15
   $40n+32$ 
4. 16
   $2x+16$ 

Y.5Simplify each expression.

1. 17
   $7+3x+9x+7x$ 
2. 18
   $1+2x+4x+4x$ 
3. 19
   $5+6+6p+6p+8p$ 
4. 20
   $8k+7+k$ 

Y.1Properties of Operations

1. 10
2. 25
3. 339
4. 486

Y.2Factor Sums with the GCF

1. 5$2(1+5)$
2. 6$9(1+5)$
3. 7$11(1+9)$
4. 8$12(5+3)$

Y.3Distributive Property

1. 9$9y+54$
2. 10$16p+20$
3. 11$54m+9$
4. 12$5m+5$

Y.4Factor Linear Expressions

1. 13$6(5k+2)$
2. 14$3(6y+7)$
3. 15$8(5n+4)$
4. 16$2(x+8)$

Y.5Combine Like Terms

1. 17$19x+7$
2. 18$10x+1$
3. 19$20p+11$
4. 20$9k+7$