8.2.3.2 - Algebraic Expressions

Which of the following shows the distributive property?

• $7a+12$

• $-\left(8a-9\right)=-8a-9$

• $4\left(a+2\right)=4a+2$

• 
  

  $3\left(x+7\right)=3x+21$
  

Which of the following are like terms? (Select all that apply)

• 
  

  $10\ \&\ 123$
  

• $3a\ \&\ 6$

• $x\ \&\ 9x$

• $5y^{2\ }\&\ 6y$

Evaluate the expression when a = 4 and b = 2
 $3a+12-6\left(b+3\right)_{ }$  

•  $-6$  

•  $6$  

•  $90$  

•  $-90$  

Evaluate the expression when  $x=\ -2,\ \ y=4,\ and\ z=5$  
 $-2x+4\left(y\cdot z+3\right)-16$  

•  $-16$  

•  $68$  

•  $80$  

•  $-48$  

Simplify this expression.
 $5\cdot3^2-13$  

•  $-20$  

•  $212$  

•  $32$  

•  $17$  

Simplify this expression.
 $21-\frac{49}{7}\times1+6$  

•  $20$  

•  $2$  

•  $-\frac{22}{7}$  

•  $18$  

Evaluate the expression for
 a=5, b=12, and c=2
 $abc+ab$  

•  $180$  

•  $36$  

•  $7200$  

•  $76$  

Simplify the expression:
 $\left(2^3+3^2\right)-16$  

•  $-4$  

•  $1$  

•  $-1$  

•  $4$  

Simplify the expression:
 $-2\left(x+3\right)$  

•  $-2x-6$  

•  $-2x+6$  

•  $-2x+3$  

•  $-2x-3$  

Simplify the expression using the Distributive Property:
 $12\left(201\right)$  

•  $12\left(200\right)\cdot12\left(10\right)$  

•  $1420$  

•  $12\left(200\cdot1\right)$  

•  $12\left(200\right)+12\left(1\right)$