Probability
P(green or orange) when randomly selecting a marble from a bag containing 4 red, 6 orange, 12 green, and 2 purple.
18/24 or 3/4
5x - 2 = -x + 1
x = 1/2
x/27 = 4/9
x = 12
Find the area of a circle that has a radius of 7 dm. Label appropriately.
49pi or 153.86 dm2
-23 - (-44) = ?
21
P(not a warm color) when randomly selecting a marble from a bag containing 4 red, 6 orange, 12 green, and 2 purple.
14/24 or 7/12
4y - 14 = 2(7+2y)
No Solution
3/x = 36/84
x = 7
What is the area of a trapezoid with bases of 4 and 12, and a height of 3? Label appropriately.
24 un2
-a(-b)(-b) = ?
Simplify as much as possible.
-ab2
If the probability of getting a Straight in poker is around 1/20, how many Straights would you expect to get if you played 280 hands?
14 Straights
3(x-4) = -6 +3x -6
All Solutions
What 2 features can you look for in a proportional relationship?
Constant rate or straight line or doubling
and
(0,0) or origin
Find the surface area of a rectangular prism that has edge lengths of 6, 5, and 3. Label appropriately.
126 un2
A Magellanic Penguin digs down 22 cm to make a burrow for its eggs. It the decides to tunnel 4 cm further down. Write an equation to represent this situation.
-22 - 4 = -26 or -22 + -4 = -26
A raffle has ping-pong balls numbered 1-25 in a bucket. Any number 20 or above win a prize. The 3 people in front of you grab a ball, sigh disappointedly, and do not put the ball back. What is your chance of winning a prize?
Was 6/25 and is now 6/22 or 3/11
1/8x + 3/4 = 1/4x - 2
x = 22
Out of two similar triangles, one has a hypotenuse of 54 and one leg of 21. The smaller triangle has a hypotenuse of 9. What is the measure of the corresponding leg of the smaller triangle?
Scale factor of 1/6 so leg = 21/6 = 3.5
Find the volume of a triangular prism whose triangular bases have heights of 4.5 and base lengths of 4, and that has a height of 10. Label appropriately.
180 un3
Simplify the expression fully.
-4(-2+8) - (-5)(-2)
-34
A raffle has ping-pong balls numbered 1-25 in a bucket. Any number 20 or above win a prize. You draw 2 balls. What is your probability of winning on both draws?
6/25 times 5/24 = 30/600 or 1/20 or 5%
(4(2x+1/8))/2 = 3x-1
x=-1.25
If your car can travel 256 miles on 16 gallons of gas, how many gallons will you use if you travel 416 miles?
16 miles per gallon. 416/16 = 26 gallons
Find the radius of a circle that has a circumference of 18 miles. Round to the nearest hundredth. Label appropriately.
2.87 miles
(-6)2 + 4 - 3(-6 + 14)
16