Intro to Algebra Brenda Windsor Math 2011. Basic Terms =equal to ≠ not equal to > is greater than
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Transcript of Intro to Algebra Brenda Windsor Math 2011. Basic Terms =equal to ≠ not equal to > is greater than
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Intro to Algebra
Brenda WindsorMath 2011
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Basic Terms
• = equal to• ≠ not equal to• > is greater than• < is less than• multiply• ⁄ divided by• do whatever is in parenthesis first
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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.
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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) = _____
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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___
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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.
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Showing the Work
18/3 + 2 = ______6 + 2
8
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Showing the Work
47 – 5(3) =
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Show the Work
(5+2) 7 =
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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.
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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.
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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.
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Negative Numbers
Start at 1 and take away 4 where do you end up?
1 – 4 = -3
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Negative Numbers
Start at -1 and add 5 where do you end up?
-1 + 5 = 4
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Negative Numbers
0 – 3 = -3
-1 + 5 = 4
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Negative Numbers
What is the problem represented on this number line?
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Negative Numbers
What is the problem represented on this number line?
- 2 + 5 = ?
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Negative Numbers
What is the problem represented on this number line?
- 2 + 5 = 3
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Negative Numbers
1. 25 – 5 = (no number line needed)
2. 5 – 25 =
3. 13 – 8 = (no number line needed)
4. 8 – 13 =
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Negative Numbers
5. 10 – 7 = (no number line needed)
6. 7 – 10 =
7. 12 – 9 = (no number line needed)
8. 9 -12 =
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Pre-Algebra Day 3
1. Go over homework. 2. Review problems from Day 2.3. Hand out homework.4. Introduce new material.
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Introducing the Variable
• A variable is a letter that replaces a value. • 23 + n = 25• n = 2
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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.
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What Happens to One Side Must Happen to the Other!
n – 7 = 27n – 7(+7) = 27 + 7
n – 0 = 34n = 34
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What Happens to One Side Must Happen to the Other!
n – 12 = 27n – 12(____) = 27 _____
n – _____ =_____n = ______
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What Happens to One Side Must Happen to the Other!
n – 21 = 27n – 21(_____) = 27 ______
n – _____ = ______n = ________
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What Happens to One Side Must Happen to the Other!
n – 18 = 35n – 18(______) = 35 _______
n – ______= _____n = ______
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What Happens to One Side Must Happen to the Other!
n – 5 = 35
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What Happens to One Side Must Happen to the Other!
n – 18 = 27
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What Happens to One Side Must Happen to the Other!
n – 15 = 56
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What Happens to One Side Must Happen to the Other!
n – 9 = 50
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What Happens to One Side Must Happen to the Other!
n – 13 = 55