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Choice Challenge
Word Problems
100
y = x + 2 ; y = -2x + 2
What is (0,2)
100
y = 3x + 4 ; y = 2x - 5
What is (-9, -23)
100
y = -x + 4 ; y = x - 6
What is (5, -1)
100
y = 2x ; y = -6x + 4
What is ((1/2), 1) or (0.5, 1)
100
I have 9 coins in my pocket totaling $0.65. All the coins are either nickels or dimes. How many of each coin do I have?
What are 4 dimes and 5 nickels
200
3x - 2y = 8 ; y = (3/2)x + 4
What is no solution
200
x - y = 1 ; x = (1/2)y + 2
What is (3,2)
200
y = 2x - 3 ; -6x + 3y = 9
What are infinitely many solutions
200
y = 0.8x + 7.2 ; 10x + 16y = 24
What is (-4, 4)
200
You and a friend each decide to open a bank account. You begin by placing $50 into your account and adding $15 a month. Your friend begins by placing $25 into his account and adding $25 a month. How long will it take until you and your friend have the same amount in the accounts? How much money will be in the account?
What is 2.5 months and $87.50
300
y = 2x - 3 ; y = x - 1
What is (2,1)
300
x + y = 3 ; x - y = 5
What is (4, -1)
300
y - 3x = -5 ; y - 2x = 1
What is (6, 13)
300
-20x + 7y = 137 ; 4x + 5y = 43
What is (-3, 11)
300
225 tickets were sold for the basketball game totaling $659.25. Adult tickets cost $4.25 and student tickets cost $2. How many of each ticket type were sold?
What are 93 adult tickets and 132 student tickets
400
y = (-5/6)x - 2 ; -10x - 12y = 24
What are infinitely many solutions
400
2y = 4x + 7 ; y = 2x + 4
What is no solution
400
y - 5x = 2 ; 10x + y = 8
What is ((2/5), 4) or (0.4, 4)
400
(1/4)x - 6y = -70 ; 5x + (3/4)y = 49
What is (8, 12)
400
A local deli is known for the best subs and chips in town. For dinner, one family orders 5 subs and 8 bags of chips costing $31.95. Another family orders 13 subs and 14 bags of chips costing $78.65. What is the cost of 1 sub? What is the cost of 1 bag of chips?
What is 1 sub costs $5.35 and 1 bag of chips costs $0.65
500
y = -2x + 3 ; y = 3x + 8
What is (-1, 5)
500
2y = x - 4 ; 3x + y = 5
What is (2, -1)
500
2y - 3x = -4 ; x + y = 3
What is (2, 1)
500
0.5x + 0.25y = 8 ; y + 3 = 8x
What is (3.5, 25)
500
A necklace is made out of gold and copper. Gold has a density of 19.3 g/cm^3. Copper has a density of 9 g/cm^3. Mass (m), density (d), and volume (v) are related by the formula m = dv. The necklace has a volume of 41 cm^3, and a mass of 647.1 g. How many grams of each metal are there in the necklace?
What are 27 grams of gold and 14 grams of copper