Unit 1: Algebra Basics Review

Real Numbers

100

.25 / .005

What is 50?

200

Closed under non-zero division

What are the real and rational numbers?

300

-(-3)(4)(-2)²

What is 48?

400

{...-3, -2, -1, 0, 1, 2, 3...}

What are the integers?

500

Ending and Repeating decimals

What are the Rational Numbers?

Properties

100

a+0=a

a*1=a

What is the identity property?

200

17=5x+2

5x+2=17

What is the symmetric property?

300

If 7*8=56, and 56=4*14, then 7*8=4*14

What is the Transitive Property?

400

integer + integer = integer

What is closure?

500

a*(1/a)=1

x+(-x)=0

What is the inverse property?

Order of Ops

100

( )

[ ]

vinculum

What are grouping symbols?

200

3² + -2 * 9

What is -9?

300

(3*4+3)/[3-(-2)]

What is 3?

400

Left to Right

What is the order of add/subtract or mult/divide?

500

2*4³ + 2 + 10*-3 

What is 100?

Expressions

100

x³y and 4x³y

What are like terms?

200

5x-4+3x-6x+7

What is 2x+3?

300

4x+3(x-1)+1

What is 7x-2?

400

4(x-3)+x²+4x-3x²

What is 

500

-3-2a³-10ab²+3a³-ab²+14

What is a³-11ab²+11?

Translations

100

"a number decreased by 7 is at most 14"

What is x-7<14?

200

is

What is the equal sign?

300

8(300+2x)

What is eight times the sum of 300 and twice a number?

400

3(x-7)=18

What is three times the difference of a number and 7 is 18?

500

“Four less than the product of a number

and 7 is eight more than that number”

What is 7x-4=8+x?