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The Butterfly Effect
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100
Write the two equations in slope intercept form: 7x + 8y = 24; x - 8y =8
y=-7/8x + 3; y=1/8x - 1
100
Use substitution to solve the system: x + 3y = 9; 4x - 2y = -6
(0, 3)
100
Simplify the expression: (n^4)^3
n^12
100
What is the formula for the x-coordinate of the vertex?
x = -b/(2a)
100
Evaluate: sqrt(150)
5*sqrt(6)
200
Estimate the solution of the linear system graphically. y = 2x - 3; -y = 2x - 1
(1, -1)
200
Solve using linear combinations: 2x + y = 0; 5x - 4y = 26
(2, -4)
200
Evaluate: 5^ (-3)
1/125
200
Find the vertex: y = x^2 - 9
(0, -9)
200
Simplify: sqrt(8/6)
[2*sqrt(3)]/3
300
Estimate the solution of the linear system graphically. 6x + 2y = 16; -2x + y = -2
(2, 2)
300
Solve: 2 - 7x = 9y; 2y - 4x = 6
(-1, 1)
300
Simplify: (9x^6)/y * (y^2)/(x^6)
9y
300
Does the parabola of this equation open up or down? What is the equation for the axis of symmetry?
Up; x = 2
300
What is the quadratic formula?
x = [-b +- sqrt(b^2 - 4ac)]/2a
400
Graph the system of linear inequalities: x> -1; y < 3
Book, pg 435 #20
400
Tell how many solutions the system has: 2x - 3y = 1; -2x + 3y =1
No solutions. The lines are parallel.
400
Simplify. Use only positive exponents. Book, Pg 491 #28
6 s^4 t^2
400
Graph y = -x^2 + 2x - 1
Book, pg 554 #14 V: (1,0)
400
Use the quadratic equation to solve. 3x^2 - 4x + 1 =0
1, 1/3
500
Graph the system of linear inequalities: 2x - 10y > 8; x - 5y < 12
Book, pg 434 # 24
500
Your teacher is giving a test worth 150 points. There are 46 three-point and five-point questions. How many of each are on the test? Write a system of linear equations then solve.
3x + 5y = 150; x + y = 46 There are 40 three-point questions and 6 five-point questions.
500
Make a table of values for: y = 5^x
Book, pg 490 #17
500
Solve by graphing. x^2 - 3x = -2
x = 1, 2
500
Find the number of x-intercepts of the graph of the function. y = x^2 + 2x +1
1
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