Solving Systems of Equations
Solve the System of Equations:
y = -5
5x + 4y = -20
x = 0 , y = -5
Describe the following inequality in interval notation.
x > -4
[4 , infinity)
Find the slope of the line that crosses through the points (5 , -3) and (-4 , -9)
What is the quadratic formula?
*look at the board*
Finish the following rules:
1) xa * xb
2) xa / xb
3) x0
1) xa+b
2) xa-b
3) 1
Solve the System of Equations:
y = 4x - 9
y = x - 3
x = 2 , y = -1
Solve the inequality and then describe it in interval notation.
- x > 5
x < -5
(-infinity , -5)
Put the following equation into slope-intercept. What is the slope and y-intercept of the function?
2x - 4y = 12
y = (1/2)x - 3
m = 1/2 b = -3
What is the GCF of the following expression? Then use it to factor them
84x4 - 60x3 - 156x2
GCF: 12x2
Factored Form: 12x2(7x2-5x-13)
+50 points if in the form: 12x2(7x+13)(x+1)
Simplify the following expression:
x4/3
3root(x4)
Solve the System of Equations:
5x + y = 9
10x - 7y = -18
y = 4
Solve the joint inequality and describe the solution in interval notation.
x - 2 > 3x -10 and -12 - 5x > -6 - 7x
x < 4 and x > 3
(3 , 4]
Write the equation of a line that has a slope of -4 and a y-intercept of 2.
Factor the following polynomial then find the zeros:
4x3 + 8x2 - 9x - 18 = 0
(2x-3)(2x+3)(x+2)
x=3/2 x=-3/2 x=-2
Simplify the following expression:
(x3y2)4 / (x5y3)2
x2y2
Solve the System of Equations:
3x + 4y = 12
4y + 8x = 40
x = 28/5 or 5.6
y = -6/5 or -1.2
Yordan goes to Bloomingdale's looking for an outfit to graduation. They found a sale rack of different style pants going for $10.33 each. They have already bought a nice lavender button down shirt for $17.59. If they have $85, how many different styles of pants from the sale rack can they buy?
They buy 6 pairs of pants.
Write the equation of a line that has a slope of -2/3 and passes through the point (3 , -1)
y + 1 = -2/3 (x - 3)
or
y = (-2/3)x - 1
Factor the following trinomial then find the zeros:
3x2 + 7x - 20 = 0
(3x-5) (x+4)
x=5/3 and x=-4
Simplify the following expression:
4a6b3c2 / (2abc)3
a3 / 2c
Euclid and Pythagoras go out to happy hour every single Friday. Last Friday, Euclid bought 4 Shirley Temples while Pythagoras only bought 3 Pina Coladas. Together, they paid $62.25. This Friday, Euclid bought 5 Pina Coladas and Pythagoras bought 2 Shirley Temples. Together, they paid $68.75. How much did one Shirley Temple and one Pina Colada cost?
Shirley Temple = $7.50 each
Pina Colada = $10.75 each
Solve the joint inequality then describe the solution in interval notation.
7x + 3 < 4x -2 or 6x > 2x +9
x < -5/3 or x > 9/4
(-infinity , -5/3] U (9/4 , infinity)
Write the equation of the line that passes through the points (-6 , -7) and (-3 , 5). Then write the equation of a line that is perpendicular to the first and passes through the point (4 , -9)
1) y-5=4(x+3), y+7=4(x+6), y=4x+17
2) y+9=-1/4(x-4), y=(-1/4)x-8
Use the quadratic formula to find the zeros of the following polynomial. (simplify as much as possible)
y = 2x2 + 12x + 9
[-6 +/- 3(root 2)] / [2]
Simplify the following expression:
-2x-5y2 * (xy-5)2
-2 / x3y8