Working alone, Amy can mow a lawn in 5 hours. Steve can mow the same lawn in 2 hours. How long if they worked together?
What is 1.43 hours.
200
Through (4, 0) and is perpendicular to y = 3/2x - 6
What is y = -2/3x + 8/3
200
3x - 3y = 18
y = -8x + 21
What is x = 3 y = -3 or (3, -3)
200
-5x - 8 < -2(x - 2)
What is x > -4
200
7 + ǀ -5 – x ǀ = 20
What is { -18 , 8 }
200
Alyssa earned a $10,000 bonus. She invested in two CDs. One paid 3% and one paid 5%. At the end of one year she earned $460 in interest. How much in each CD?
What is $2000 in the 3% one. $8000 in the 5% one.
300
Passes through ( -1,6) and ( 5, 4)
What is y = -1/3x + 17/3
300
4x - 4y = 8
-7x + 7y = -14
What is Infinite Number of Solutions
300
14 > 8(2 - 2x) + 2(2 + 5x)
What is x > 1
300
2 + ǀ 10x – 3 ǀ = 85
What is { 43/5 , -8 }
300
How many lbs. of flour that costs $5 per lb. must be added to 4 lbs. of flour that costs $2 per pound to make a mixture that costs $4 per lb.?
What is 8 lbs.
400
Through (-5, -4) and parallel to y = 5x - 4
What is y = 5x + 21
400
4x - 10y = -10
6x - 8y = 20
What is x = 10 y = 5 or (10,5)
400
-6 (5x - 5) < -8 (8x + 6) + 8x
What is x < -3
400
ǀ 2 + 4x ǀ - 9 < 1
What is -3 < x < 2
400
A plane's constant speed is 400mph. It makes a trip downwind in 6 hours and returns to its starting point in 8 hours. What's the speed of the wind?
What is 57 mph.
500
Through (4,6) and perpendicular to 2x - 3y = 9
What is y = -3/2x + 12
500
y = 5x + 7
-7x - 3y = -21
What is x= 0 y = 7 or (0,7)
500
2 (4x - 6) > 3 (4x - 8)
What is x < 3
500
ǀ 4 + 10x ǀ + 7 ≥ 11
What is x ≥ 0 or x ≤ -4/5
500
A plane flew 736 miles to St. Louis and back. The trip with the wind took 8 hours. The trip against the wind took 16 hours. Speed of the plane? Speed of the wind?
What is 69 mph for the plane. 23 mph for the wind.