Word Translations

Question 1

“A is half the size of B” =

Answer 1

A = (1/2)B

Question 2

“A is 5 less than B” =

Answer 2

A = B-5

Question 3

“A is less than B” =

Answer 3

A < B

Question 4

“Jane bought twice as many apples as bananas” =

Answer 4

A = 2B

Question 5

“P is X percent of Q” =

Answer 5

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

Question 6

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

Answer 6

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

Question 7

If you know x² = 16 and x > 0 then….

Answer 7

You know… x = 4

Question 8

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

Answer 8

You know… x = 2

Question 9

If you know (x/y) < 1 and y > 0 then…

Answer 9

You know… x < y

Question 10

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

Answer 10

You know… x² < y²

Question 11

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

Answer 11

You know… The answer is “yes”

Question 12

If you know x < y and x,y > 0 then…

Answer 12

(1/x) > (1/y)

Question 13

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

Answer 13

xz < yw

Question 14

If you know x < y and x,y > 0 then…

Answer 14

x² < y²

Question 15

If you know x < y and x,y > 0 then…

Answer 15

√x < √y

Question 16

Always express rates as…

Answer 16

“distance over time.”

Question 17

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

Answer 17

Train A – 2r x time = distance

Train B – r x time = distance

Question 18

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

Answer 18

Wendy – r-1 x time = distance

Maurice – r x time = distance

Question 19

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

Answer 19

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

Question 20

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

Answer 20

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

Question 21

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

Answer 21

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

Question 22

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

Answer 22

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