Solving Equations :)

Solve

100

Solving Equations

4x + 3 = 7

x = 1

200

Solving Equations

4(6 + 5x) = 124

x = 5

300

Solving Equations

-108 = -8(x + 6) - 4

x = 7

400

Solving Equations

172 = 5(4a + 6) + 2

a=7

500

Solving Equations

-93 = 7(-3k - 8) + 5

k = 2

Absolute Value

100

abs(4-9)+abs(-5-10)

-20

200

Solve

abs(x)=8

x= 8 and x= -8

300

Solve

abs(4x+6)=14

x = -5 and x = 2

400

Solve 

abs(-3x-2)+7=2

no solution

500

Solve

15abs(4x+1)=165

x=5/2

and x= -3

Solve with Rational Numbers

100

5/3 x +2 = 17

x= 9

200

1/2 (4x+6)+2/3 (9x-12)=11

x= 2

300

2/3 x + 3/4 = 5/3 x - 7/4

x=5/2

400

-1/2 (6x-14)+1 = 8-3x

all real numbers

500

4/5 x +7 = -29

x= -45

Definitions

100

Define SOLVE

do opposite operations until x equals a number

200

Define EVALUATE

Plug in a number, get a number

300

Define SIMPLIFY

Use distributive property and combine like terms

400

Define ABSOLUTE VALUE

distance from a number

500

Define REAL numbers

Every number on a number line

Mathlish

100

Naturals

double n

200

INTEGERS

Double Z

300

Rationals

Double Q

400

Write an example of the SYMMETRIC PROPERTY in mathlish. 

a=b and b=a

500

Write an example of the TRANSITIVE PROPERTY in mathlish

if a=b and b=c, then a=c

Properties

100

Name that Property:

5 + (-5) = 0

Additive Inverse (0 is the identity, we use inverse to get to identity)

200

Name that property:

x = x

Reflexive

300

Name that property:

3*1/3=1

Multiplicative inverse  (use inverse to get to identity)

400

If 4x=52 and 52=(13)(4), then 4x=_____

Fill in the blank AND name the property

4x=(13)(4)

Transitive

500

Name that property:

x=4 and 4=x

Symmetric