Vocabulary Terms | Functions | Solving inequalities | Solving equations | Function Notation |
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What is Algebra?
the part of mathematics in which letters and other general symbols are used to represent numbers and quantities in formulae and equations.
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What is a function?
a relation for which each value from the set the first components of the ordered pairs is associated with exactly one value from the set of second components of the ordered pair
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3x + 2 ≤ 8
x ≤ 2
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solve for n
3n+2=17
n = 5
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f(x)=2x
f(3)
6
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What is a coefficient?
a numerical or constant quantity placed before and multiplying the variable in an algebraic expression
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Are these coordinates a function?
(1,2) (2,4) (1,5) (3,8) (4,4) (5,10)
no
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3a+8 > 35
a > 9
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Solve for x and y
3x + 2y = 12
x = 2
y = 3 |
f(x)=x-2+8
f (10)
16
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What is a variable?
not consistent or having a fixed pattern; liable to change
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Are these coordinates a function?
(1,2) (2,4) (3,6) (4,8) (5,10) (6,12)
yes
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3 ≤ 3/2x + 3
3 ≤ 3
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x+(3x-2) = 18
x = 5
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f(x)=(x)²+1
f(-2)
5
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What is Constant Rate of Change?
rate that describes how one quantity changes in relation to another quantity
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Are these coordinates a function?
(-3,6) (-7,14) (-9,8) (0,0) (-12,16)
yes
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3x-3 > x=7
x > 5
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-25 = 4x+15
x = -10
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f(x)=2x
f(2/3)
4/3
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What is discrete?
the study of mathematical structures that are fundamentally discrete rather than continuous
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Are these coordinates a function?
(0,0) (8,9) (7,9) (4,9) (0,9)
no
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4x-1 ≤ 3x-4
x ≤ -3
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x/5 + 7 = -3
x = -50
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f(x) = 8x²-x=6
f(-1)
15
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