1_1 Evaluating Expressions

Addition, subtraction, multiplication, and division are called arithmetic operations. Mathematical operations are applied to numbers and result in numbers. For example in 3 + 4, the operation of addition applied to the numbers 3 and 4. The result of the addition is 7.

A set of numbers, mathematical operations, and parenthesis is called an expression.

Performing the operations is called is called evaluating the expression. The result is called the value of the expression.

In the following exercises first write the given expression. Then evaluate the expression step-by-step, as described below.

In this section of the algebra course evaluate the expression means:
  1. Write the given expression.
  2. Do the first instruction that applies:
    1. Evaluate the power.
    2. Multiply.
    3. Divide.
    4. Add.
    5. Subtract.
    Keep doing this until there is nothing to do.
  3. Underline the answer.

Here are some examples.

1) 8 + 3 + 4
2) (8 + 5) * 7
3) 3 + 5 * 4
4) 8 + 5 * 7
5) 7 - 3 * 2
6) 17 - 7 * 2
7) (7 - 3) * 2
8) (17 - 7) * 2
9) 6 * 9 - 13
10) 7 * 8 - 17
11) 7 * (6 + 3)
12) 8 * (4 + 5)
13) 48 / 3 * 4
14) 72 / 8 * 3
15) 48 / (3 * 4)
16) 72 / (8 * 3)
17) 18 - 4 * 2 - 6
18) 15 - 2 * 3 - 2
19) 18 - (4 * 2 - 6)
20) 15 - (2 * 3 - 2)
21) (12 + 5) * (13 - 5)
22) (16 + 4) * (7 - 3)
23) 12 + 5 * (13 - 5)
24) 16 + 4 * (7 - 3)
25) 100 / (25 / 5 - 4)
26) (400 / (80 / 4)) - 7
27) 100 / 25 / (5 - 4)
28) 400 / 80 / 4 - 7
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