Complex Number Operations
i29⋅i27⋅i30
What is -1?
∣y−11∣=36
What is y=47,y=−25?
(−8x2+5x+3)+(6x+6)
What is −8x2 + 11x + 9
―8𝑥 ― 98 = ―8(𝑥 + 12)
What is no solution.
−98≠−96.
Define Transformation and the four types
a transformation is a function that changes a shape's position, size, or orientation.
Translation, Reflection, Rotation, and Dilation
(1+7i)−(12−8i)
What is -11+15i?
11 = |x+4|
What is x = 7 , x = -15?
7(3x2−7x+4)
What is 21x2−49x+28?
1/2 𝑥 + 6 = 16
What is x = 20
Define Range and Domain
The domain is the set of all possible input values (x)
The range is the set of all possible output values (y)
(−10+i)2
What is 99-20i?
∣x−3∣≤13
-10 ≤ x ≤ 16
Express (x−10)2 as a trinomial
What is x2 - 20x + 100?
|𝑥 ― 5| + 3 = 7
x = 9 , x = 1
Define a linear function and name the four types
A linear function is a mathematical function that, when graphed on a coordinate plane, forms a straight line.
Linear, Quadratic, Cubic, and Absolute Value
(−4+2i)3 in the simplest a+bi form
What is -16+88i?
26<5x+6 and 66>5x+6 and graph it on a number line.
4 < x < 12, this is represented by an open circle at 4 and an open circle at 12, with the line segment between them shaded.
(4x+3)(−x2−5x+9)
What is −4x3 − 23x2 + 21x + 27?
5|2𝑥 ― 7| < 45
x = (−1,8) or -1 and 8
Define a polynomial
A polynomial is a mathematical expression consisting of variables, coefficients, and exponents, combined using addition, subtraction, and multiplication.
(−4+3i)2 in the simplest a+bi form
What is 7 - 24i?
12<−x+8 or 9≤−x+8, graph the solution on a number line
x ≤ -1, On a number line, this is represented by a closed circle at -1 and shading to the left.
Find the quotient of -25z4 - 5z3 divided by -5z2
What is 5z2 + z?
|4𝑥 + 5| + 10 ≥ 35
(−∞,−7.5]∪[5,∞)
Define an end behavior
The end behavior of a function describes what happens to the graph as the input variable (x) approaches positive and negative infinity.