MAT 002

Review:

Exponents: Repeated multiplications may be written in an abbreviated form by using exponents.

i.e. . The 3 is called the base and 4 is called the exponent or power of 3 (the base)

Find the value of each of the exponential expressions:

1a) 1b) 1c)

Order of Operations:

Many numerical problems involve more than one operation. Sometimes, grouping symbols, such as parenthesis, are utilized to indicate the order in which the operations should be done. If grouping symbols are present, simplify within the group, doing the innermost parenthesis first. If no grouping symbols are used, we apply the following order of operations:

1. Evaluate all exponents.
2. Perform any multiplication or division operations in the order in which they occur, working from left to right.
3. Perform any addition or subtraction operations in the order in which they occur, working from left to right.

Note: Fractions are simplified by evaluating the numerator and denominator separately.

Find the value of each expression:

2a)

2b)

2c)

2d) =

2e) =

Converting Words to Symbols using

3a) Nine equals eleven minus two. ____________________________________

3b) Twelve is less than twenty-two. ____________________________________

3c) Three is not equal to four. ________________________________________

3d) Eight is greater than five. _________________________________________

3e) Two is greater than or equal to two. _________________________________

Converting Symbols to Words

4a) ____________________________________________________

4b) ____________________________________________________

4c) ____________________________________________________

Evaluate each expression if and :

5a) 5c)

5b) 5d)

Equation: An equation is a statement that two expressions are equal. Depending on the value of the variable, the statement can be true or false i.e. ,

Solving an equation means to find the values of the variable that make the equation true. Such values of the variables are called the solutions of the equation.

Decide whether the given number is a solution of the equation:

6a) Is 2 a solution to the following equation: ?

6b) Is 7 a solution to the following equation:

6c) Is a solution to the following equation:

Fill – in the chart below

Number	Reciprocal	opposite
8

Simplify:

7a)

7b)

7c)

Operations with signed numbers

Addition

8a.

8b.

8c.

8d.

8e.

8f.

8g.

Subtraction

9a.

9b.

9c.

9d.

9e.

Evaluate if

10a.

10b.

10c.

Multiplication

11a.

11b.

11c.

11d.

Evaluate if

12a.

12b.

12c.

12d.

Division

13a.

13b.

13c.

13d.

13e.

13f.

Evaluate if

14a.

14b.

14c.

14d.

14e.

14f.

MAT 002

Algebraic Fractions

15) Reduce each algebraic fraction:

a) b) c) d) e)

16) Multiply each algebraic fraction:

a) b) c) d)

e) f) g)

17) Divide each algebraic fraction:

a) b) c) d)

e) f)

Add or subtract each algebraic fraction:

18) Part 1

a) b) c) d)

e) f) g) h)

i) j) k)

19) Part 2

a) b) c) d)

e) f) g) h)

i) j) k)

l) m) n)