Question 4 on the MAT0020/24C Beginning Algebra State Exam

Simplify Algebraic Expressions (Using the Distributive Property)

 

 

4.  Simplify:                                                               

 

A.                B.                C.             D. 

 

 

 

Solution:

 

Simplify: 

 

In this problem, the first step would be to simplify within the brackets.  Within the brackets, use the distributive property first.

 

 

The next step is to combine like terms with the brackets.

 

 

The next step is to use distributive property.

 

 

The solution is:  -42x-180

 

Practice Problems for Question 4

Simplify Algebraic Expressions (Using the Distributive Property)

Solutions Below

 

1.  Simplify: 

 

a.                b.                 c.                  d. 

 

 

 

 

 

2.  Simplify: 

 

a.                   b.                    c.                d. 

 

 

 

 

 

3.  Simplify: 

 

a.                b.                   c.                   d. 

 

 

 

 

4.  Simplify: 

 

a.                  b.                  c.               d. 

 

 

 

 

 

Solutions:

1.  a                 2.  c                 3.  c                 4.  b