Download 1) Determine the relationship between the following two real

1) Determine the relationship between the following two real numbers (state using greater than
or less than signs).
Graph on a number line the set of numbers greater than the larger of the two.
3 and √3.
3 > √3
Because the square root of 3 is approximately 1.732.
2) Determine if the ordered pair (-4,2) is a solution of 3x + 2y=-16.
Plug in those values:
3*-4 + 2*2 = -12 + 4 = -8, which is NOT -16, so:
NO
3) Graph: 2x - 5y = -10
Get the intercepts:
2x=-10, so x = -5
-5y = -10, so y = 2
Connect those two points into a graph:
4) Graph the line having a y-intercept of -2 and a slope of -5/6.
The y intercept of -2 means that it crosses the vertical axis 2 units below the origin.
The slope of -5/6 means that it goes down 5 units for every 6 it goes to the right.
The equation is y = -5/6 x - 2
Graph:
5) The price, P, of oil varies inversely as the supply, S. An OPEC nation sells oil for $91.50 per
barrel when its daily production level is 4 million barrels. At what price will it sell oil if the daily
production level is decreased to 3 million barrels?
Set up a base equation form:
P = k/S
Now we need to get k using the values provided:
91.50 = k/4
Multiply by 4:
K = 366
Now use that k value to get the new price:
P = 366/S
P = 366/3
P = $122 per barrel
6) Use the substitution method to solve the following system.
7x - y = 28
5x + 5y = -20
Add y to the first equation:
7x = y + 28
Subtract 28:
y = 7x-28
Plug that into the second equation:
5x + 5(7x-28) = -20
Distribute:
5x + 35x – 140 = -20
40x = 120
Divide by 40:
x=3
Get y:
y = 7*3-28 = 21-28 = -7
Final answer:
x = 3, y = -7
7) Solve the following system by the Addition/Elimination Method.
4x + 3y = -8
-16x - 12y = 32
Multiply the first equation by 4:
16x + 12y = -32
Add that to the second equation:
0=0
That’s a true statement, so there are:
Infinitely many solutions