Units and properties
Name the property used in this step:
4 * (1/4) = 1
Multiplicative inverse
Simplify 3 + 2(x2+ z2) + 4x2.
3 + 2(x2+ z2) + 4x2
= 3 + 2x2+ 2z2 + 4x2 (distributive)
= 3 + (2x2+4x2) + 2z2 (associative)
= 3 + 6x2 + 2z2 (substitution)
These words describe where a graph is "going up" or "going down."
What are "increasing" and "decreasing"?
The first sign is pointing the wrong way. As written, it says x is both less than 1 and less than 5.
Write an algebraic expression for: "the difference of one-fourth of a number and 22."
1/4 n - 22
Explain how to use distributive property to find 997*33 in your head by multiplying (1000-3)*33.
33*1000 - 33*3 = 33,000 - 99 = 33,000 - 100 + 1 = 32,901
If f(x) = 2x - 2, find 2 * [f(3)].
f(3) = 2(3) - 2 = 6-2 = 4;
2 * 4 = 8 (final answer)!
This phrase describes sets of coordinates, such as (3, 1) or (-2, 0).
What is an "ordered pair"?
Why is this interval wrong? 3 > x > 7
Both signs are pointing the wrong way. It should be 3<x<7. As written, this interval claims x is both more than 7 and less than 3.
Write a verbal expression for: n3 / 2 + 12
"One-half of a number cubed, plus twelve" or "the sum of one-half of a number cubed and 12."
Which unit of measure is most appropriate for measuring the distance between cities?
(A) inch; (B) feet; (C) meter; (D) mile
(D) Miles. The others are all small and would need a very large number.
If g(x) = x2 + 3x - 2, find g(-2).
g(-2) = (-2)2 + 3(-2) - 2
= 4 - 6 - 2
= -2 - 2
= -4 (final answer)
This term describes a type of extrema that is the highest point in its surrounding area; the "top of a hill" of a graph.
What is a "maximum"?
Why is this simplification wrong?
2x2 + 3(4x + x2) = 3x2 + 12x
The person forgot to distribute 3:
2x2 + 3(4x + x2) = 2x2 + 12x + 3x2 = 5x2 + 12x
Is the following set of ordered pairs a function? (1, 1); (2, 4); (3, 7); (4, 10); (3, 13)
No; the points (3, 7) and (3, 13) have two "outputs" (y) for the same "input" (x = 3).
BAD KOREAN JOKE! What does a smart sales person say when he first meets you?
만나서 "반값"습니다.
Jayce measures her classroom as 7.92m long and 4m wide, then calculates (in her head!) that the volume of her classroom is approximately 31.68m2. Where should she round it: 31.680, 31.68, 31.6, 31.7, or 32?
32m2. The width is rounded to the nearest whole number; therefore, the volume should also be rounded to the nearest whole number.
This term describes any set of x-values that describe where a graph is increasing and decreasing, such as x < 3 or x > 7.
What is an "interval"?
It's just a 소문.
Verbal expression: word sentence; algebraic expression: math sentence.
What property is described by the following problem: "If 12xn = 12x15, then n = 15."
Reflexive property (something is equal to itself). Think of "reflection" like a mirror!
Evaluate -32v2 + 22/7 r if v = 1 and r = 7
-32*(1)2 + 22/7 * 7
= -32*1 + 22
= -32 + 22
= -10
This can be figured out by drawing arrows at the end of a graph and checking if they point up or down.
What is "end behavior"?
Why is this simplified wrong? 2x2 + 7x + 5x + 1 is rewritten as 16x + 1
The person accidentally did 22 when it's x that should be squared, not 2. The real answer is: 2x2 + 12x + 1.
BAD KOREAN JOKE! Who is the best teacher in the ocean?
생선-님.