Unit 1 Solving Equations:
1. Write a paragraph describing in your own words what this unit was about and
what you learned
In the unit i learned PEDMAS, property of equations, solving two setp equations, solving varibales iwtih both sides, and ratio and porportions,
2. What is order of operations? PEDMAS? give an example.
Example: How do you work out 3 + 6 × 2 ?
Multiplication before Addition:
First 6 × 2 = 12, then 3 + 12 = 15
Example: How do you work out (3 + 6) × 2 ?
Parentheses first:
First (3 + 6) = 9, then 9 × 2 = 18
Example: How do you work out 12 / 6 × 3 / 2 ?
Multiplication and Division rank equally, so just go left to
right:
First 12 / 6 = 2, then 2 × 3 = 6, then 6 / 2 =
3
Oh, yes, and what about 7 + (6 × 52 + 3) ?
7 + (6 × 52 + 3)
7 + (6 × 25 + 3)
Start inside Parentheses, and then use Exponents
First
7 + (150 + 3)
Then Multiply
7 + (153)
Then Add
7 + 153
Parentheses completed, last operation is an
Add 160
DONE !
Multiplication before Addition:
First 6 × 2 = 12, then 3 + 12 = 15
Example: How do you work out (3 + 6) × 2 ?
Parentheses first:
First (3 + 6) = 9, then 9 × 2 = 18
Example: How do you work out 12 / 6 × 3 / 2 ?
Multiplication and Division rank equally, so just go left to
right:
First 12 / 6 = 2, then 2 × 3 = 6, then 6 / 2 =
3
Oh, yes, and what about 7 + (6 × 52 + 3) ?
7 + (6 × 52 + 3)
7 + (6 × 25 + 3)
Start inside Parentheses, and then use Exponents
First
7 + (150 + 3)
Then Multiply
7 + (153)
Then Add
7 + 153
Parentheses completed, last operation is an
Add 160
DONE !
3. Properties of Equations: What can you do to both sides of equations and still maintain equality?
if we add the other side by the same number, we get the equation to be balanced out.
4. Solving 2 step equations; give an example and explain it in words.
you subtract the whole number from both sides. then divide the denominator by the number you divided by multiply the whole number.
5. Solving equations with variables on both sides.
6. Ratio & Poportion: What is a ratio? What is a porportion how do you solve it? Give an example and solve it.
a ratio is a relationship with two numbers of the same kind. proportion is an equation which states that two ratios are equal. When the terms of a proportion are cross multiplied, the cross products are equal. Cross multiplication is the multiplication of the numerator of the first ratio by the denominator of the second ratio and the multiplication of the denominator of the first ratio by the numerator of the second ratio.