Vocabulary
the name for the unknown number that is represented with a letter
variable
2x + 5x =
3x + 9 = 30
x = 7
If A = (3x2+5x - 6) and B = (-2x2 - 6x+7), then A - B equals
5x2+11x-13
When does the inequality symbol flip?
When multiplying and dividing by a negative number
the name for a number whose value will always remain the same (no variable)
constant
-2x - 5x
-7x
4(2x-5) = 60
x = 10
What is the sum of (-3x2-7x+9) and (-5x2+6x-4)?
-8x2-x+5
Explain the difference between a dashed boundary line and a solid boundary line
A dashed boundary line means that those values ARE NOT apart of the solution set whereas a solid boundary line means those values ARE apart of the solution set.
the number in front of a variable in a variable term
EX: 5x (what is the 5 called?)
co-efficient
2x·5x
10x2
x/3 + 5 = 20
x = 5
When (4x2+7x-5) is subtacted from (9x2-2x+3), the result is..
5x2-9x+8
Determine the smallest integer that makes the inequality true
-3x + 7 -5x < 15
0
What property states this:
(a+b) + c = a + (b+c)
the associative property of addition
x3·x5 ·x9
x17
The zeros of the function f(x) = (x+2)2 - 25 are
x= -7 and x=3
Express the product of (2x2+7x-10) and (x+5) in standard form
2x3+17x2+25x-50
Solve the inequality
4(x+6) ≤ 11x +3
3 ≤ x
What do we call the answers to an addition, multiplication, subtraction, and division problem? (in that order)
What is the sum, product, difference, and quotient?
(x3)4
x12
What are the solutions to the equation x2-8x = 24
x = 4 +/- 2√10
Chad created a rectangular garden. Its length was twice its width. He decided to make a new qarden that was 2 feet longer and 2 feet wider than his first garden. What expression represents the difference between the area of his new garden and the area of the original?
6x+4
Solve the inequality
-1 ≤ 9 + 2n < 17
-5 ≤ n < 6