Proportional Reasoning
See the $100 question slide.
75 gallons per hour.
Find the value of 5 - (-10)
Subtracting a negative = adding a positive
Minus minus = plus plus
5 + 10 = 15
Will the following expression be positive or negative?(-2)(-100)
Positive.
The theoretical probability of flipping a coin and it landing on heads is....
50/50 or 'as likely as not.'
Zero.
See the $200 question slide.
3 miles per hour.
y = 3x
Find the value of -2 - 10
-12; The negative becomes more negative.
Find the value of (-4) * (5)
-20. When we multiply or divide factors with the same sign, the answer is positive.
If I roll one die, the sample space is...
[1, 2, 3, 4, 5, 6]
If an online bank represents deposits with positive numbers and withdrawals as negative numbers, what could 3·(-10) represent?
A. Three withdrawals of $10.
B. Three deposits of $10.
C. A $3 deposit followed by a $10 withdrawal.
D. A $3 withdrawal followed by a $10 deposit.
A. Three withdrawals of $10.
See the $300 question slide.
20% per second, it will take 5 seconds.
Evaluate.
-5.5 - 10.5
-16
Find the value of -0.3 ÷ 4.
-3/40.
We can write -0.3 as a 3/10 and we can write 4 as 4/1.
Dividing fractions requires us to invert and multiply [KCF]. When the signs are different, the answer will be negative.
3/10 * 1/4 = -3/40.
Jenesis has 3 different pen colors: pink, black, and green. She has 4 pens of each color. She selects a pen at random.
What is the probability she will select a black pen?
12 total pens, 4 are black. 4/12 = 1/3.
Select all values equal to -(1/5)
a. -1/5
b. -1/-5
c. 1/-5
d. - (-1/5)
e. -(-1/-5)
A, C, E.
See the $400 question slide.
y = 1/2x.
Y is always half of x.
x = 2y is also acceptable.
The current temperature outside is 11°C. If the current temperature drops by 18°C, Eve can make frozen soap bubbles. At what temperature can Eve make frozen soap bubbles?
a. -29°C
b. 7°C
c. -7°C
d. 29°C
C. -7°C
A drop means we subtract 18 from 11.
11°C - 18°C = -7°C.
Find the value of (-1/6)(42)(3).
-21
Franco rolls a fair 10-sided die. The die has the numbers 1 through 10 represented on its sides.
What is the probability of rolling a 12?
What is the probability of rolling a multiple of 2?
What is the probability of rolling a number greater than 4?
the probability of rolling a 12? 0/10 or impossible.
the probability of rolling a multiple of 2? : 5/10 or 1/2.
the probability of rolling a number greater than 4: 6/10 or 3/5.
19/50 - 0.38
Positive, negative, or zero?
Zero.
19/50 = 38/100 or 0.38, 0.38 - 0.38 = 0.
See the $500 question slide.
Muffins rise at a rate of 0.050 inches/minute. y=0.050x
Bread rises at a rate of 0.030 inches/minute. y=0.030x
Muffins rise at a faster rate.
Xavier's fuel tank holds 14 3/4 gallons of gasoline when completely full. He had some gas in the tank and added 8.3 gallons of gasoline to fill it completely. How many gallons of gasoline were in the tank before Xavier added some?
14 3/4 = 14.75
8.3 + the gas he added = 14.75
14.75 - 8.30 = 6.45 gallons
The outside temperature is − 15°F at midnight. The temperature increases by 2.5°F each hour for the next 6 hours. What is the outside temperature at 6:00 a.m.?
2.5 * 6 = 15 degree increase.
-15 + 15 = 0.
Joe flips a fair coin 4 times in a row.
What is the probability that the coin lands on tails all 4 times?
P(tails) = 1/2
Compound event probability =
(1/2) * (1/2) * (1/2) * (1/2)= 1/16.
(-0.032) · (7/15)
Positive, negative, or zero?
Negative: A negative factor times a positive factor will have a negative product. (When multiplying and dividing)