Word Translations Flashcards
“A is half the size of B” =
A = (1/2)B
“A is 5 less than B” =
A = B-5
“A is less than B” =
A < B
“Jane bought twice as many apples as bananas” =
A = 2B
“P is X percent of Q” =
P = (X/100)Q or (P/Q) = (X/100)
“Pay $10 per CD for the first 2 CDs, then $7 per additional CD” =
T = $10x2 + 7x(n-2) *assuming n > 2
If you know x² = 16 and x > 0 then….
You know… x = 4
If you know x² + x - 6 = 0 and x > 0 then…
You know… x = 2
If you know (x/y) < 1 and y > 0 then…
You know… x < y
If you know (x/y) < (y/x) and x,y > 0 then…
You know… x² < y²
Question: “Is 0.4x > 0.3x?” and x > 0 then…
You know… The answer is “yes”
If you know x < y and x,y > 0 then…
(1/x) > (1/y)
If you know x < y and z < w and x,y,z,w > 0 then…
xz < yw
If you know x < y and x,y > 0 then…
x² < y²
If you know x < y and x,y > 0 then…
√x < √y
Always express rates as…
“distance over time.”
“Train A is traveling at twice the speed of Train B” or “Twice/half n times as fast as”
Train A – 2r x time = distance
Train B – r x time = distance
“Wendy walks 1 mile per hour more slowly than Maurice” or “Slower/faster”
Wendy – r-1 x time = distance
Maurice – r x time = distance
“Car A and Car B are driving directly toward each other” or “Relative rates”
Car A – a x time = distance
Car B – b x time = distance
Shrinking distance between = a+b (distance shrinks at this rate)
“Car A is chasing Car B and catching up” or “Relative rates”
Car A – a x time = distance
Car B – b x time = distance
Shrinking distance between = a-b (distance shrinks at this rate)
“Car A and Car B are driving directly away from each other” or “Relative rates”
Car A – a x time = distance
Car B – b x time = distance
Growing distance between = a+b (distance grows at this rate)
“Car A is chasing Car B and falling behind” or “Relative rates”
Car A – a x time = distance
Car B – b x time = distance
Growing distance between = b - a
