Algebra Flashcards

(28 cards)

1
Q

Linear term

A

8x

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2
Q

Multiplying two binomials

A

FOIL

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3
Q

Any even power can be expressed as a

A

Square

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4
Q

Any odd power

A

Can factor out GCF, make it even and then factor it

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5
Q

Factoring quadratic

A

2 factors can only be used if the coefficient of xsquared is 1

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6
Q

Advanced numerical

A

1599= 1600-1; find perfect squares; decimals too less than 1= 0.9991= 1-0.0009

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7
Q

Separate an equation by add/sub

A

use the denominator and split the numerator

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8
Q

Simplify fractions and complex equations

A

Multiply by LCM

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9
Q

Mathematical or

A

A=0 or B=0 or A and B=0; two roots either one of the two roots or both roots

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10
Q

one equation with two unknowns

A

All the points on a line, innumerable points

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11
Q

two equations, two unknowns

A

One intersecting point

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12
Q

-10=-10; always true equation

A

Infinitely many solutions, if we get rid of the variables, if we have one equation that is a multiple of the other; one on top of another

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13
Q

15=8

A

No variables but there is contradiction, no solution; parallel lines

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14
Q

Solutions

A

When do the lines intersect

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15
Q

Three equations, three unknowns

A

Two equations and two unknowns: 4 to 2; plug a in the new equations and then solve because now you have two variables

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16
Q

abs x= 5

A

x=5 or x=-5; extra solutions so plug in into the both sides of the equation and then see if they are equal**; we also isolate the abs value on one side

17
Q

Inequality add/subtract

A

You can do the same to both sides

18
Q

Inequality multiplication

A

Multiplication- if you multiply or divide by a negative number *** reverses the order of the inequality; goal x should always be positive

19
Q

Open circle

20
Q

Adding inequalities

A

Add if in the same direction a>b c>d then a+c>b+d;

21
Q

Subtracting inequalities

A

Subtract only if in the opposite direction ; a>b db-c; follows the direction of the first inequality from which we subtract

22
Q

Multiplication and Division

23
Q

Subtracting positive or adding negative makes a number

24
Q

Adding a positive makes a number

25
Numbers can be!!!
Negative or fractions and 0 and 1
26
x-7
distance of +7 from x
27
Abs value of inequalities
Find the center, and then move from the center in opp direction, center is the avg of the two numbers
28
Use substitutes to solve
like use u and v to solve