8.1 Flashcards

1
Q

System of equations

A

Problems with 2 unknown quantities and are often translated using 2 equations with 2 unknowns.

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2
Q

Process to solving a system of equation.

A

look for solution to problem by trying to find a pair of numbers that are true for both.

  1. Familiarize
  2. Reword and translate by making table
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3
Q

Unless noted otherwise how are variables ordered?

A

Alphabetically

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4
Q

Consistent

A

Any system that has at least one solution

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5
Q

Inconsistent

A

System with no solution

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6
Q

Dependent

A

One equation in system can be obtained by multiplying both sides of another by a constant

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7
Q

Substitution method

A

Relies on having one variable isolated.

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8
Q

A system with no solution…graph of equation will ________ intersect

A

Not

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9
Q

Elimination method

A

Makes use of addition to principal.

If a=b then a+c=b+c

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10
Q

Special rules when solving systems of 2 linear equations with 2 variables.

A
  1. If 0=0 infinite # of solutions
    Equations are dependent and solution exists so system is consistent
  2. If both sides are not =
    0=7 is false
    No solution and inconsistent
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11
Q

Story problems

Motion, distance, rate and time

A

d=rt
Or
r=d/t
t=d/r

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12
Q

Mixing formula

A

g+s=x

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13
Q

Simple interest

A

Principal•rate•time=interest

p+s=s

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14
Q

Motion problems formulas

A

d=rt

r=d/t

And

t=d/r

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