Algebra
simplify (100+4z)20
2000 + 80z
The temperatures for June are 99, 103, 103, 105, and 101. What is the mode, median, and mean?
Mode: 103
Median: 103
Mean: 102.2
Is this rate of change proportional? (check via finding a pattern with division or multiplication)
Time: 2 3 4 5 6
Pgs: 50 75 90 110 120
50/2=25
75/3=25
90/4=22.5 NOT PROPORTIONAL it does not follow the same rule
List 5 different quadrilaterals (4 sided figures);
square
rectangle
rhombus
parallelogram
trapezoid
tell whether each number is rational or irrational:
-5___
9.7584068362950385....._____
5.666______________
Rational
Irrational (no pattern, never ending decimal)
Rational (never ending decimal but has a pattern)
A construction worker bought several bottles of juice for $3.00 a bottle. If she paid $36.00 total, how many bottles of juice did she buy?
Write an equation and solve!
3j=36
j=12 bottles
What is the probability of rolling a 6 on a number cube?
Three tickets to attend Hamilton cost $81, 4 tickets cost $108, 5 tickets cost $135. Is there a proportional relationship between the number of tickets and the price paid? You can make a table or just solve using math:)
cost/ number of tickets
81/3=27
108/4=27
135/5=27
YES it's proportional!
If one angle in a triangle is 45 degrees, and another angel is 90 degrees, what is the measurement of the third angle? (draw it out or use algebra:)
45 +90 +x=180
135 + x=180
x=45
8th: Write in standard form: 1.234 x 103
7th: Change 2/5 to a decimal and percent
Change 0.15 to a fraction and percent
8th: 1,234
7th: 2/5=0.4 or 40%
0.15 is the same as 15/100 (15 hundredths) and is 15%
The sum of fifteen and six times a number T is eighty one. Write an equation and solve!
15+6T=81
6T=66
T=11
What is the probability of picking a blue shirt from a drawer with 8 white shirts and 2 blue shirts.
2/10 or 1/5
What is the percent increase from 24 to 30 teachers? Remember, find the DIFFERENCE, then divide by the original amount. Then turn from decimal to percent:)
30-24=6 6/24=0.25 or 25%
Find the area of a circle where the radius is 6 meters.
A=3.14xR2
Plug in the 6 for R in the formula:
3.14x62=
3.14x36=113.04m2
8th: Write 4,505,000 in scientific notation:
7th: What is 37
8th: 4.505 x 106
7th: 3x3x3x3x3x3x3=2,187
9g+2=20
9g=18
g=2
Qualify as certain, likely, as likely as not, unlikely, or impossible:
Flipping a heads on a coin___
Rolling a 7 on a number cube____
Drawing a red from a bag of red marbles_____
As likely as not
Impossible
Certain
Find the new amount given the original amount and the percent change:
Original amount: 160 bananas
20% decrease
160 x .20=32
160-32=128 new amount
Draw an object with one line of symmetry:
Now draw an object with FOUR lines of symmetry
Answers may vary but one line of symmetry would be like down the center of an isosceles triangle (see board)
4 lines would be through a square: top to bottom, side to side, and both diagonals
8th: integer exponents:
36/ 33= (62)2=
7th: order of operations:
9(3+4)-24=
8th: 33 or 27 64 or 1296
7th: 84
Try to put the variables on one side and numbers on the other to solve for x! DOUBLE POINTS
3x-17=x+3
x=10
Sal's pizza sells a variety of pizza combinations:
SAUCES: Red sauce or white sauce
TOPPINGS: Cheese only, sausage, or pepperoni
How many different combinations can you make?
Combinations=MULTIPLY!!!
2 sauces x 3 topping choices= 6
If a store pays $12.50 for sunglasses but then sells them at a 78% markup, how much is a customer now paying for the sunglasses in the store (new price?)
12.50 x .78= 9.75 add that to the original for a new price
12.50 +9.75=$22.25
If a scale drawing of a painting is a rectangle measuring length=15 in by width 14in, and the real drawing follows the scale 4in=6.8 ft, what is the length, width, and area of the real painting? Use proportions!!!!!
length: area:
width:
4/6.8=15/x x=25.5 ft length
4/6.8=14/x x=23.8 ft width
AREA=l x w 25.5x23.8= 606.9ft2
Both: -40(-12 + 4) /-2=
(-12+4=-8)
-8 x -40=320
320/-2=-160