intro to algebra brenda windsor math 2011. basic terms =equal to ≠ not equal to > is greater...
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P.E.M.D.A.S. ?? P – Parenthesis E – Exponents M – Multiply D – Divide A / S – Add / Subtract from Left to Right Please, excuse my dear Aunt Sally! When completing algebraic expressions, remember this sentence to complete the operations in order.TRANSCRIPT
Intro to Algebra
Brenda WindsorMath 2011
Basic Terms
• = equal to• ≠ not equal to• > is greater than• < is less than• multiply• ⁄ divided by• do whatever is in parenthesis first
P.E.M.D.A.S. ??• P – Parenthesis• E – Exponents• M – Multiply• D – Divide• A / S – Add / Subtract from Left to Right
• Please, excuse my dear Aunt Sally!
When completing algebraic expressions, remember this sentence to complete the operations in order.
Let’s Practice
1. 8(7) + 6 = ______2. 18/3 + 2 = ______3. 47 – 5(3) = ______ (remember, multiply then
subtract! 4. (5+2) 7 = _____ (remember, parenthesis
then multiply. 5. 42 + (18/6) = _____
Let’s Practice1. 8(7) + 6 = __62____
2. 18/3 + 2 = __8____
3. 47 – 5(3) = __32____
4. (5+2) 7 = ___49__
5. 42 + (18/6) = __45___
Algebra Structure
We probably all did the work in our head. However, when we are working in algebra, we need to show ALL of the steps…
8(7) + 6 = ______56 + 6
62Each step is completed on the next line below
the first. We have to show EACH step as we complete the problem.
Showing the Work
18/3 + 2 = ______6 + 2
8
Showing the Work
47 – 5(3) =
Show the Work
(5+2) 7 =
Show the Work
42 + (18/6)
Notice, the = sign has been removed. Often times we see algebra expressions written this way. You would
continue to solve as before showing all of your work.
Pre-Algebra Day 2
1. Review terminology 2. Using worksheet #5 – finish any problems left
from day #1. 3. Go over answers. 4. Pass out worksheet #6 for homework. 5. Introduce new material.
What are Negative Numbers?
Imagine being on an elevator and the ground floor is 0. If you go below ground, you are negative. If you go up, you are positive.
Negative Numbers
Start at 1 and take away 4 where do you end up?
1 – 4 = -3
Negative Numbers
Start at -1 and add 5 where do you end up?
-1 + 5 = 4
Negative Numbers
0 – 3 = -3
-1 + 5 = 4
Negative Numbers
What is the problem represented on this number line?
Negative Numbers
What is the problem represented on this number line?
- 2 + 5 = ?
Negative Numbers
What is the problem represented on this number line?
- 2 + 5 = 3
Negative Numbers
1. 25 – 5 = (no number line needed)
2. 5 – 25 =
3. 13 – 8 = (no number line needed)
4. 8 – 13 =
Negative Numbers
5. 10 – 7 = (no number line needed)
6. 7 – 10 =
7. 12 – 9 = (no number line needed)
8. 9 -12 =
Pre-Algebra Day 3
1. Go over homework. 2. Review problems from Day 2.3. Hand out homework.4. Introduce new material.
Introducing the Variable
• A variable is a letter that replaces a value. • 23 + n = 25• n = 2
What Happens to One Side Must Happen to the Other!
n – 7 = 27How would we figure the
value of n? We would need to add 7 to
both sides of the = sign.
What Happens to One Side Must Happen to the Other!
n – 7 = 27n – 7(+7) = 27 + 7
n – 0 = 34n = 34
What Happens to One Side Must Happen to the Other!
n – 12 = 27n – 12(____) = 27 _____
n – _____ =_____n = ______
What Happens to One Side Must Happen to the Other!
n – 21 = 27n – 21(_____) = 27 ______
n – _____ = ______n = ________
What Happens to One Side Must Happen to the Other!
n – 18 = 35n – 18(______) = 35 _______
n – ______= _____n = ______
What Happens to One Side Must Happen to the Other!
n – 5 = 35
What Happens to One Side Must Happen to the Other!
n – 18 = 27
What Happens to One Side Must Happen to the Other!
n – 15 = 56
What Happens to One Side Must Happen to the Other!
n – 9 = 50
What Happens to One Side Must Happen to the Other!
n – 13 = 55