System of Equations
−4x − 2y = −12
4x + 8y = −24
(6 ,-6)
6h + h = 14
Amanda used 7 cups of sugar to make 2 cherry pies. How much sugar, on average, did she put in each pie?
3.5
0 > 3x − 3 − 6
x<3
A=P+I
P = A - I
−10x + 7y = −25
−4x − 2y = 14
(-1, -5)
w+19/3=4
(W and 19 are both in the numerator)
-7
A cafeteria used 27.8 kilograms of beans to make 4 batches of chili. What quantity of beans went into each one?
6.95
−6 > 5n + 5 + 4
x<-3
sv = uwt
t = sv/uw
2x + 8y = 6
−5x − 20y = −15
Infinite number of solutions
-19p + -4p − -4 = -19
Luther and Diego are collecting clothes for a clothing drive. Diego collected 1/2 as many clothes as Luther did. If Luther collected 1/2 of a bag of clothes, how many bags of clothes did Diego collect?
1/4
3 − 2(n − 4) > −1
x<6
d = -abc
c = -d/ab
−14 = −20y − 7x
10y + 4 = 2x
(2, 0)
6y + -18y − 7 = 17
-2
Pam and Jack just finished a picnic at the park and are about to ride their bikes home. Pam goes 12 miles per hour, and Jack goes 13 miles per hour in precisely the opposite direction. In how long will they be 5 miles apart?
0 hours and 12 minutes
7 < −(−k − 3) + 2
x>2
x = v - y - w
v = x + y + w
3 + 2x − y = 0
−3 − 7y = 10x
(-1, 1)
-(f − -5) = -9
4
A beauty supply company has 18 gallons of 25% hydrogen peroxide solution on hand. The company also has a nearly limitless amount of a solution that contains 5% hydrogen peroxide. How many gallons of the 5% hydrogen peroxide solution should the company add to the 25% hydrogen peroxide solution to obtain a mixture that is 23% hydrogen peroxide?
2.0 Gallons
−2(b + 1) + 4 < 10
x>-4
C = Q/V
Q = CV