Math know-how
You can use cake method for both.
GCF: Find the factors
LCM: Skip countSolve:
| -7 + -5 |
12
Simplify the following expression:
5w + 2c + 6w + 3
11w + 2c + 3
An airplane is 3,000 ft above sea level. A man jumps 2 feet into the area to do a cannonball. A submarine is 5,000 feet below sea level. What number represents sea level?
0.
SEA LEVEL IS ALWAYS 0.
Which section of the grid (I, II, III, IV) is the coordinate located? (-3,4)
Section II.
Section I: + X + Y
Section II: - X + Y
Section III: - X - Y
Section IV: + X - Y
Absolute Value can turn a negative number into a positive number.
The distance from 0.
Find the area of a triangle with a base of 12ft and a height of 12ft.
(Do not forget the units...)
Turn 5/2 into a decimal AND a percent.
Decimal: 2.5
Percent: 250%
A scientist dives 20 feet below the sea to inspect a coral reef. What integer represents the distance the scientist went?
20 feet.
Distance cannot be negative.What is the distance from (3, -4) to (3, 8)?
(3 , -4)
(3, 8)
The threes are the same, so subtract. -4 minus 8 = - 12. It's distance so, 12.
When simplifying an expression, can you add and subtract when the variable is different?
(Example: Can you combine 2c + 4w?)
You can only combine terms with the SAME variable:
2w + 3w = 5w.
2(2x + 5)
Solve when x = 5.
Answer is 30.
2(2x + 5) x = 5, so 2 x 5 = 10.
2(10 + 5). PEMDAS.
2(15) Multiply.
30.
Simplify the expression:
3(5 + 7)
36.
3(5+7) Add.
3(12) Multiply.
36
Gerald walks 2 miles from his house to school every morning. He accidentally walked 1 mile in the opposite direction, then turned around and went the right way, passing his house and then going to school. How many miles did he walk?
4 miles.
He walked one mile in the wrong direction. He needs to walk BACK 1 mile, THEN 2 miles to school. 1+1+2 = 4.
Rectangle ABCD has consecutive vertices A(1, 5), B(6, 5), and C(6, 2).
Find the coordinates of vertex D.
A(1, 5), B(6, 5), and C(6, 2).
Take the first X, and the Last Y
(1,2)
You can write down how to do it, OR draw it out.
No line under the sign = open circle.
Starts at 3.
X is GREATER. Line goes right.
$12.50.
Danielle got two times as much, that means Dave got half (divide by 2). 25 divided by 2 = 12.50
16 > -2w
You do NOT have to graph.
-8 < w
Inequalities. Do inverse operations. IF you divide or multiply by a negative number, flip the sign.
Ken gets 10 dollars for every 2 lawns he mows.
How much money will he have if he mows 12 lawns in his neighborhood?$60
You can use ratios, or fractions. 10 dollars for 2 lawns. He does 12 lawns. 2 x [6] = 12. So 10 x 6 = $60.
Reflect (12, 5) across the Y axis.
(-12,5)
Reflect on the Y axis = Y coordinate stays the same. Flip the X to the opposite.When you have an equation like 3w = 39. What do you do? (You need the vocabulary. Two words)
Inverse Operations.
3w = 39 Inverse (Opposite of times 3. Divide 39 times 3.)
w = 13Dave decides to do more chores than Danielle the next week. Danielle still gets her $25, but Dave gets five less than twice as much. How much does Dave get?
Less than goes at the end. So 2m - 5. Danielle got $25, so 2x25 = 50 - 5 = $45.
15x > 45
Trick question.
X can be 4 AND 5.
X > 3. No line under it = X is NOT EQUAL TO 3. Only bigger numbers.Two buses leave a bus stop at the same time. Bus A returns to the stop every 12 minutes. Bus B returns to the stop every 15 minutes. When will they both be at the stop again?
LCM = When two things are going to meet. You can do CAKE method or Skip count both numbers.
(5, 7) Flips to (5, -7)
What axis did this flip on?
The X axis.
(5, 7) Flips to (5, -7)
The X stays the same. So it flipped on the X axis.