Algebra

Question 1

Linear term

Answer 1

8x

Question 2

Multiplying two binomials

Answer 2

FOIL

Question 3

Any even power can be expressed as a

Answer 3

Square

Question 4

Any odd power

Answer 4

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

Question 5

Factoring quadratic

Answer 5

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

Question 6

Advanced numerical

Answer 6

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

Question 7

Separate an equation by add/sub

Answer 7

use the denominator and split the numerator

Question 8

Simplify fractions and complex equations

Answer 8

Multiply by LCM

Question 9

Mathematical or

Answer 9

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

Question 10

one equation with two unknowns

Answer 10

All the points on a line, innumerable points

Question 11

two equations, two unknowns

Answer 11

One intersecting point

Question 12

-10=-10; always true equation

Answer 12

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

Question 13

15=8

Answer 13

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

Question 14

Solutions

Answer 14

When do the lines intersect

Question 15

Three equations, three unknowns

Answer 15

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

Question 16

abs x= 5

Answer 16

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

Question 17

Inequality add/subtract

Answer 17

You can do the same to both sides

Question 18

Inequality multiplication

Answer 18

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

Question 19

Open circle

Answer 19

Not included

Question 20

Adding inequalities

Answer 20

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

Question 21

Subtracting inequalities

Answer 21

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

Question 22

Multiplication and Division

Answer 22

No rules

Question 23

Subtracting positive or adding negative makes a number

Answer 23

Smaller

Question 24

Adding a positive makes a number

Answer 24

Bigger

Question 25

Numbers can be!!!

Answer 25

Negative or fractions and 0 and 1

Question 26

x-7

Answer 26

distance of +7 from x

Question 27

Abs value of inequalities

Answer 27

Find the center, and then move from the center in opp direction, center is the avg of the two numbers

Question 28

Use substitutes to solve

Answer 28

like use u and v to solve