Solve Problems using Equations and Inequalites

Solve 2-step Equations

100

8a+4=36

4

200

What is the 1-step when solving 2-step equations

isolate the variable

300

26-2a=50

-12

400

n/9-3=4

n=63

500

Julia works 8 hrs and gets $a per hour + a $16 bonus. She got $96 total.How much  does she make per hour?

$10 per hour

Solve Equations with the Distributive Property

100

-2(x+5)=4

x=-7

200

how does the distributive property help you solve equations 

it multiplies all terms in the parenthesis

300

-1/2(b-6)=5

b=-4

400

4(x+17)=80

x=3

500

8(x-3)=36

x=7.5

Solve Equations with Addition/Subtraction

100

x+10>6

x>-4

200

15+x>25

x>10

300

16+x<36

x>20

400

20+xis greater than or equal to 39

20+x is greater than or equal to 19

500

x-38<58

x<96

Solve Equations with Multiplication/Division

100

2x<12

x<6

200

-5x≤65

x≥-15

300

7x>42

x>6

400

-9x>81

x<-9

500

x/14≤70

x≤980

Solve 2-step Inequalities

100

what happens to the sign when you divide or multiply by a negative number?

it's reversed

200

75+5x>10

5>x

300

What is the difference between 2-step equations and 2-step inequalities?

equations have 1 solution.

inequalites have many.

400

32+8x≤600

x≤71

500

52+3x>22

x>10