Algebra Midterm Study Guide

Real Numbers

100

what is this -12/2? 

it's a real number, integer, rational number

200

is 10 a real number or a irrational number? 

10 is a real number

300

what are the whole numbers? 

0 and up 1,2,3,4,5

400

what are some real numbers?

there all numbers

500

what is a rational number? 

1,3,5,1/4 , -2, 1/1-5 

Properties

100

what does Commutative mean? 

 the order in which you multiple does not change the product  Ex: 9x2=18  2x9=18 

200

what does Associative mean? 

the way the gators are grouped does not change the product Ex: (5x4).2                 5x(4x2) 

                    20x2 = 40         5x8=40

300

what does identity property mean? 

any number multiplied by 1 keeps it's identity 

Ex: 1x6=6  6x1=6

400

what's does Inverse property mean? 

the product of a number and it's reciprocal is always 1= 1/6 X -6/1= 1

500

what does symmetric property mean?

x=y then y=x 

Ex: 3+7=10 10=3+7

Absolute value

100

|-25|+|5|= ? 

=30

200

|-12-5|=? 

=17

300

10-2 x 3²+14=?

=22

400

|-10-5|=?

=15 

500

|-20|+|3|=?

=23

Evaluating Expressions

100

2x³-8y⁴=    if x=2 ,  y=1 

=2(2³)

200

|-a+b²x C|   if a=-2    b=3     C=4 

=44

300

w²+ 2xy=        x=-3  w=-2 and y=1 

= -18

400

abc+5/ 5a   a=2. b=-15 c=-1 

=10

500

a²+ 1xy=      x=-2  w=-1 and y=-3 

=30

Translating Expressions

100

Three times the difference of a number and 7 increased by 10.

3(7x+10)

200

four more than the quotient of a number and 5 is 40

4+ x/5 =40

300

Twice a number divided by 5 

2 divide by n = 5 

400

the sum of twice a number and 7 

2n+7 

2n+10 =36 

500

the product of a number and 10 incased by 1 

n+10 =1