# Word Translations Flashcards

1
Q

“A is half the size of B” =

A

A = (1/2)B

2
Q

“A is 5 less than B” =

A

A = B-5

3
Q

“A is less than B” =

A

A < B

4
Q

“Jane bought twice as many apples as bananas” =

A

A = 2B

5
Q

“P is X percent of Q” =

A

P = (X/100)Q or (P/Q) = (X/100)

6
Q

“Pay \$10 per CD for the first 2 CDs, then \$7 per additional CD” =

A

T = \$10x2 + 7x(n-2) *assuming n > 2

7
Q

If you know x² = 16 and x > 0 then….

A

You know… x = 4

8
Q

If you know x² + x - 6 = 0 and x > 0 then…

A

You know… x = 2

9
Q

If you know (x/y) < 1 and y > 0 then…

A

You know… x < y

10
Q

If you know (x/y) < (y/x) and x,y > 0 then…

A

You know… x² < y²

11
Q

Question: “Is 0.4x > 0.3x?” and x > 0 then…

A

You know… The answer is “yes”

12
Q

If you know x < y and x,y > 0 then…

A

(1/x) > (1/y)

13
Q

If you know x < y and z < w and x,y,z,w > 0 then…

A

xz < yw

14
Q

If you know x < y and x,y > 0 then…

A

x² < y²

15
Q

If you know x < y and x,y > 0 then…

A

√x < √y

16
Q

Always express rates as…

A

“distance over time.”

17
Q

“Train A is traveling at twice the speed of Train B” or “Twice/half n times as fast as”

A

Train A – 2r x time = distance

Train B – r x time = distance

18
Q

“Wendy walks 1 mile per hour more slowly than Maurice” or “Slower/faster”

A

Wendy – r-1 x time = distance

Maurice – r x time = distance

19
Q

“Car A and Car B are driving directly toward each other” or “Relative rates”

A

Car A – a x time = distance
Car B – b x time = distance
Shrinking distance between = a+b (distance shrinks at this rate)

20
Q

“Car A is chasing Car B and catching up” or “Relative rates”

A

Car A – a x time = distance
Car B – b x time = distance
Shrinking distance between = a-b (distance shrinks at this rate)

21
Q

“Car A and Car B are driving directly away from each other” or “Relative rates”

A

Car A – a x time = distance
Car B – b x time = distance
Growing distance between = a+b (distance grows at this rate)

22
Q

“Car A is chasing Car B and falling behind” or “Relative rates”

A

Car A – a x time = distance
Car B – b x time = distance
Growing distance between = b - a