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Chapter 3 Test
Math End of Quarter 3 Test
48
Mathematics
10th Grade
03/10/2016
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Term
Polynomial
 Definition
a monomial or a sum of monomials
Term
Like Terms
 Definition
having the same variables, raised to the same powers.
Term
Factor
 Definition
algebraic expression that acts as a divisor
Term
Degree
 Definition
highest exponential value in the expression
Term
Coefficient
 Definition
numerical multiplicative factor in a term
Term
Difference of Squares
 Definition
a2 – b2 = (a - b)(a + b)
Term
Difference of Cubes
 Definition
a3 – b3 = (a – b)(a2 + ab + b2)
Term
Sum of Cubes
 Definition
a3 + b3 = (a + b)(a2 – ab + b2)
Term
Quotient of Powers
 Definition
a(m)
____
= a(m-n),for any real number a ≠ 0
a(n)
Term
Imaginary Unit
 Definition
i
Term
Pure Imaginary Unit
 Definition
-3i
Term
Complex Number
 Definition
3 + 2i
Term
Real Number
 Definition
√13
Term
i
 Definition
√-1
Term
i2
 Definition
-1
Term
i3
 Definition
-√-1
Term
i4
 Definition
1
Term
Discriminant
 Definition
b2-4ac
Term
Vertex Form
 Definition
y = a(x-h)2 + k
Term
Quadratic Function
 Definition
f(x) = ax2 + bx + c
Term
Quadratic Formula
 Definition
-b + √b2 - 4ac
x = ---------------
2a
Term
Axis of Symmetry
 Definition
-b
x = -------
2a
Term
Imaginary Roots
 Definition
result of a negative discriminant value
Term
Two Real Roots
 Definition
result of a positive discriminant value
Term
One Real Root
 Definition
result of a zero discriminant value
Term
Roots
 Definition
where the parabola crosses the x - axis
Term
Vertex
 Definition
the center of the parabola (max, min)
Term
Interval
 Definition
distance from one value to the next on a graph
Term
When factoring a quadratic with a lead coefficient of one, simply find two values with a _____equal to c and a _____ equal to b.
 Definition
Product, Sum
Term
When testing each interval, do not test the ________ value.
 Definition
Root
Term
When yours solution IS inclusive of the roots, use ______ to group your interval.
 Definition
Brackets
Term
When your solution IS NOT inclusive of the roots, use _____ to group your interval.
 Definition
Parentheses
Term
The axis of symmetry will intersect a parabola in one point called the ______. A method called _____ is used to make a quadratic expression a perfect square in order to solve the related equation.
 Definition
Vertex, Complete the Squares
Term
The number 3i is called a _____.
 Definition
Pure Imaginary Numbers
Term
The number 4 - 3i is called a ______.
 Definition
Complex Numbers
Term
The two numbers 4 - 3i and 4 + 3i are called _____.
 Definition
Complex Conjugates
Term
Which quadratic equation has the roots 3 and 4?
 Definition
(x-3)(x-4) = 0
Term
Which value of c makes the trinomial x2 - 6x + c a perfect square trinomial?
 Definition
9
Term
What are the roots of y = 2x2 + 21x - 36?
 Definition
-12, 1.5
Term
How many times does the graph of y = 3x2 + x - 1 cross the x-axis?
 Definition
2
Term
How many ties does the graph of y = x2 + 2x + 1 cross the x-axis?
 Definition
0
Term
What is the symmetry of the equation y = 2x2 -12x + 24?
 Definition
3
Term
What is the vertex of the equation y = x2 + 4x + 3?
 Definition
(-2,1)
Term
Which of the following represents the equation y = x2 + 4x + 3 in vertex form?
 Definition
y = (x - 3)2 + 1
Term
If the vertex of a quadratic equation is (3,1) and the lead coefficient is 2, which of the following would be the vertex form of that quadratic?
 Definition
y = 2(x - 3)2 + 1
Term
What is the complex conjugate of 4 - 3i?
 Definition
4 + 3i
Term
What is the discriminate of the quadratic equation y = 3x2 +4x - 5?
 Definition
76
Term
What is 45i73?
 Definition
45i
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