Formula of area of parallelogram.
what is base times height?
Surface area of prism Find surface area
What is 302cm?
How?
6 x 5=30 Add all = 302cm
6 x 5=30
11 x 6=66
11 x 6=66
5 x 11=55
5 x 11=55
Evaluating 2 step equations and 2 step equations
A. evaluate the expression for 12 roses.
10+ 5n
B. Subtract Undoing Adding
b1. 5n - 18=-33 b2. x/3 + 11=16
What is 70(A), -3(b1), and 15(16)?
How?
add 12 to your equation
then multiply 5 and 12=60
then add 60 and 10= 70
Probability
A. You have five buttons lettered A B C D E
Find the probability of selecting a vowel.
B. There are 8 possible outcomes We have 3 red and 2 blue pants witch are dark colors. What is the probability of not dark colors.
What is 2/5 ( A) and 3/8 ( B)
How for B?
dark colored probability is 5/8
8-5= not dark colored
Ratios
A. writing equivalent ratios
find the equivalent ratio to 3/6
B. Find unit rate using fractions
Find the unit rate for 3/10 in 3/4 hour
What is 6/12(A) and 2/6(B)?
How?
A. 3 x 2=6 B. 3 x 4=12 10 x 3=30
6 x 2=12 12/30 = 2/5 ( simplified)
Find the area of the parallelogram. Also use inches in your answer.
What is 120in?
How?
15 x 8= 120
Number of circles you have to include when doing the surface area of a cylinder
What is 2?
Remember!!
To add the two circles when doing any problem with cylinder surface area
Multiplying integers
Solve
-4(-7)
+10( -25)
What is 28 and -250?
How?
For both multiply and then follow the rules for the signs.
Experimental probability
Find the experimental probability of landing on heads
remember to simplify answer
What is 26/100 or 13/50?
If you a got different simplified answer don't worry it is most likely still correct.
Similar Figures
Indirect measurements
A 5ft tall woman is standing near a vending machine and cast a shadow of 3.6 ft long. The vending machine casts a shadow of 8ft long. Find the height of the vending machine.
Use a proportion when answering
What is 11.11?
Your proportion should have looked like
3.6x/ 3.6= 5 x 8/ 3.6
if you got a repeating decimal of 11.111111
just leave 2 numbers after the decimal point
Finding Supplements and Complements
(3x-35)+2x=180
What is 94 degrees and 86 degrees?
How? plug in 43
1. add 3x and 2x = 5x 6. 3(43)-35=94 and 2(43)=86 5x - 35=180
2. 5x-35+35 = 180 + 35
3. 180 + 35=215
4. 5x divided by 5 and 215 divided by 5
x=43
Solve Cylinder surface area
What is 351.68in?
How?
Area of circles= pie(radius)2 or r times itself
area of rectangle= ( dxh)(pie)
Then add( again remember there are 2 circles)
Dividing integers
Solve
1. Find the vertical speed of a climber who goes from an elevation of 8,120 ft to an elevation of 6,548 ft in 3 hours.
and
2. -10 divided by (-2)
What is 524 and positive 5?
How?
1. Subtract 8,120 and 6,548. Then divided that answer by 3.
2. Divide 10 and 2. Then follow the rules for the sign.
Application Manufacturing
Say we have 12 rotten apples and 400 checked apples. The experimental probability that an apple is rotten is 12/400 or 3/100. Also there are 1,300 apples in all. Now solve with a proportion.
What is 39?
How?
your proportion should have been
3/100= x/1,300
Map and scale drawings
The scale drawing shows the length of a side of a house as 3 cm. You have a scale drawing of 1cm/2.5m. Then write a proportion with x representing the actual length of a side of a house.
Use a proportion
What is 7.5?
Your proportion should have looked like
1/ 2.5 = 3/x
Finding angle measures
Say you have an x shaped diagram
your angles are 1, 2, 3, 4
angle 1 is 25.7 degrees. Hint- 2 and 4 are the same and 1 and 3 are the same
What is 154.3 and 25.7 degrees?
How?
since this diagram is not a right angle you use 180 degrees when finding angle 4 and 2
180 - 25.7=154.3 ( angle 2 and 4 's measure)
and 1 and 3 's measure is given
Dividing inequalities
Solve
-4p < 36
What is p > 9?
How?
divided each side by 4
reverse the direction of the symbol
Adding and Subtracting rational numbers
Adding same sign
1a. 1 3/4 + 2 1/8 1b. -3.5 + (-4.25)
Subtract same sign
2a. 6 2/3 + 3 1/3
What is 3 7/8 (1a) , -7.75 (1b), and 10 (2a)?
Sample Spaces
Make a table a table to find the sample space for rolling 2 number cubes colored red and green. Then find the outcome of rolling at least one 4. Also there are 36 possible outcomes.
(Just for fun try making your own tree diagram for extra points. If you or your team does the diagram correctly you get 100 points added to your score)
What is 11/36?
Also if you got the extra point question correct give yourself 100 points.
A. percents, fractions, and decimals
make 4/10 a simplified fraction, decimal, and percent
B. Finding a percent
What percent of 92 is 23? ( use a proportion)
What is 2/5, 40%, and .40? (A)
What is 24.73 ( B)
Your proportion for B should have looked like
23/93 = x/100
Finding the area of a trapazoid
If area = 1/2h(b1+ b2) Find area of this trapazoid
Also use cm in answer
What is 84cm?
How?
1. 1/2(7)(10+14) Area = 84cm
2. = 1/2(7)(24) = 168
3. 168 divided by 2
Multiplying inequalities
solve
y/ -8 > 2
What is y < -16
How?
8 x 2 =16
then flip the symbol
Also the negative and positive sign rules for integers applies for both multiplying and dividing inequalities.
1 step and 2 step Equations
adding subtract
1a. x - 104=46 1b. s + 245=290
multiplying Dividing
2a. t/-45=-5 2b. -12y=-180
What is 150(1a), 45(1b), 225(2a), and 15(2b)
Also integer rules apply for the signs( negative and positive).
Compound Events
Independent- you and your friend play a game 3 times. The probability of you winning all 3.
Assume p(win)= 1/2
What is 1/8?
How?
1/2 x 1/2 x 1/2
= 1/8
Applications of percent
A. Finding Sales Tax
The price of a bike you plane to buy is $145.99. The sales tax rate is 7%. Find how much you will pay for the bike.
B. Finding Percent of Change
Find Percent of Markup
A candy store orders a box of king sized snickers for $5.25. The store sells each snicker for $7.55. Find percent of markup.
What is $156.2?(A)
How?(A)
7%=0.07
0.07 x 145.99=10.21 + 145.99= $156.2
What is $43.80(B)
Your proportion should have looked like
2.3/5.25=x/100 * 2.3 comes from the subtraction of $5.25 and $7.55