Question 5 on the MAT0020/24C Beginning Algebra State Exam

Evaluate an Algebraic Expression

Solution:

Evaluate the given expression when w = - 4: 

In this problem, the first step would be to substitute the value into the variable.

Then using order of operations, the next step would be to complete the exponent.

The next step would be to complete multiplication from left to right.

The next step is to complete subtraction then addition left to right.

The solution is:  -113

Practice Problems for Question 5

Evaluate an Algebraic Expression

Solutions Below

1.  Evaluate the given expression when w = -4:             

a.  35                           b.  61                           c.  51                           d.  45

2.  Evaluate the given expression when w = -3:             

a.  -39                          b.  -27                          c.  -45                          d.  -33

3.  Evaluate the given expression when x = -9, y = 4, z = -7:     

a.  -137                        b.  151                         c.  137                         d.  -151

4.  Evaluate the given expression when x = -9, y = 2, z = -2:     

a.  -158                        b.  158                         c.  -160                        d.  -166

Solutions:

1.  c                 2.  a                 3.   a                4.  d