Order of Operations
-6 ÷ 3 • 5 – (8 – 4)2 + 14
-6 ÷ 3 • 5 – (8 – 4)2 + 14
-6 ÷ 3 • 5 – 16 + 14
-2 • 5 – 16 + 14
-10 – 16 + 14
-26 + 14 = -12
What are integers?
Positive Whole Numbers
Zero
Negative Whole Numbers
Translate the following:
x + 5
x/4 = 10
x=40
What is a variable? Give an example.
4 • 9 ÷ 3 • (7 – 5)3 + 4
4 • 9 ÷ 3 • (2)3 + 4
4 • 9 ÷ 3 • 8 + 4
36÷ 3 • 8 + 4
12• 8 + 4
100
Which of the following are not an examples of an integer? -5, -10, 0.2, 0, 2/3, 10000
2/3 and 0.2
FRACTIONS AND DECIMALS ARE NOT INTEGERS.
6
2x - 1 = 9
x=5
What is a negative number? Example?
What is a positive number? Example
Negative number is less than 0. Example -2
Positive number is more than 0. Example 2
(4 - 7)2 - 6*7 + 20
9 - 42 + 20
-33 + 20
-13
-5 + -2
-7
Evaluate the expression when y = 2 and x = -4:
-(2)2 – 3(-4)(2)
-4 + 24
20
Solve the equation:
4(2x - 1) = 12
x=2
What is an inverse?
The opposite operation of an operaiton.
1 + (-2 - 5)² + (14 - 17) * 4
1 + 49 + (-3)*4
1 + 49 -12
50 -12
38
-81 divided by -9
9
If a = -3 and b = -5 then what is
a2 + b2
a - b
9 + 25
-3 - -5
34
2
=17
3x + 6 = 7x - 5
x=11/4
What are like terms? Example?
Terms that have the same variables and same exponents. They do not need to have the same coefficient. (Example: 5x and 8x)
13 + 7² ÷ 7
9 - 20 ÷ 4 -16
20/-12
-5/3
-12 - (-5)
-12 + 5
-7
Distribute the expression:
3 (2y + 2b + 1)
6y + 6b + 3
Distribute and solve for x
5(4x + 5) = 4(2x + 4)
20x + 25 = 8x + 16
12x = -9
x = -9/12
Difference between algebra expressions and algebra equations?
Similarity between algebra expressions and algebra equations?
Algebra Equations has an equal sign and Algebra Expressions does not.
Algebra Equations and Algebra Expressions both have letters, numbers and operation signs.