ZPP!!!
Solve for x:
(x + 1)(x -7) = 0
x = -1, 7
What is the inverse of squaring a number?
Square Rooting
How can you tell if the graph of a quadratic is going to be face upward or downward by just looking at its equation?
If a is positive, it will have an upward shape.
If a is negative, it will have a downward shape.
When does a quadratic have no solution? Give an example.
When x2 = a negative number.
ex) x2 = -16
Charlie thinks 0.025 as a percent is 25%
Dixie thinks 0.025 as a percent is 2.5%
Who is correct? Explain how to convert a decimal into a percent.
Dixie is correct. You need to move the decimal two to the right.
Solve for x:
3x(x + 4)(x - 4) = 0
x = -4, 0, 4
Without using a calculator or your notes, list all the perfect squares up to 144.
1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144
Find the vertex of the following quadratic:
x2 - 2x - 8 = 0
(1, -9)
Explain how x2 = 16 and x2 = -16 are different.
What are the solution(s) if there are any?
x = -4, 4 for the first one .
There is no solution for the second equation.
Write three solutions to the inequality:
x is at least -5 and at most 5
See responses.
How many solutions does the following equation have?
(3x - 1)(3x - 1)(3x - 1) = 0
One solution: 1/3
Solve for x:
x2 + 1 = 82
x = -9, 9
If a graph's axis of symmetry passes through the origin, what is the axis of symmetry?
x = 0
True or False? The Quadratic Formula can only be used if a quadratic is not factorable. Explain.
False, the quadratic formula works for all quadratics, even if it is factorable.
Marco is saving his allowance money for a new video game. He has $20 and he will receive $5 every week.
Write an equation to model his scenario. Clearly define x and y variables. How many weeks will it take him to buy a video game that costs $60?
8 weeks
Solve for x:
-4x(5x - 10)(2x + 1) = 0
x = 4, 2, -1/2
Solve for x:
2(x - 1)2 = 200
x = -9, 11
Graph the following quadratic:
y = -x2 + 2x +8
Clearly label:
-Axis of Symmetry, Vertex, x-ints, y-int
See graph
Solve by using the quadratic formula:
-x2 + 8x = 1
Start by putting in standard form and listing a, b, and c. Round to the nearest thousandth.
x = 7.87, 0.13
Bris Bacon wanted you to practice your exponent rules (awww thanks, Bris Bacon!) soooo simplify
(3x4y2p)3
27x12y6p3
Solve for x:
2x2 – 11x = - 5
x = 1, 10
Solve for x:
-3(x + 6)2 - 4 = 17
No solution, the square root of a number does not exist (yet)
Graph the following quadratic:
y = (x + 2)(x - 1)
Clearly label:
-Axis of Symmetry, Vertex, x-ints, y-int
See graph.
Solve by using the quadratic formula:
9 + 7x = 7x2
Start by putting in standard form and listing a, b, and c. Round to the nearest thousandth.
x = 1.74, -0.74
Write the equation of a line that has a slope of -2 and passes through (0, 2) in slope-intercept form.
y = -2x + 2