Solving Equations and Inequalities

Variables On Both Sides Of Equals Sign

100

Solve and check:

k + 20 = 9k + 4

k = 2

200

Solve and check:

11m - 4 = 3m + 36

m = 5

300

Solve and Check:

3x + 5 = 10x + 26

x = -3

400

Solve and Check:

-n + 4 -5n + 6 = 21 + 3

n = -7/3

500

x - 1/2 = 2x + 3/4

x = -5/4

Solving And Graphing Inequalities

100

Solve and graph:

s + 8 < 10

s < 2; graph on board

200

Solve and graph:

-8x < 40

x > -5; graph on board

300

Solve and graph:

12n > 9n +7

n > 7/3 or 2 1/3; graph on board

400

Solve and check:

3t > 8t - 75

t < 15

500

Solve and check:

-6x + 7 - x + 1 < 2x + 4

x > 4/9

Solve Equations With Parentheses

100

Solve and check:

2(2y + 3) = 14

y = 2

200

Solve and check:

5(3x - 2) = 35

x = 3

300

Solve and check:

Ms. Algebra has n math cards. Mr. Geometry has 8 more than 5 times as many cards as Ms. Algebra. Together, they have 254 cards. How many cards does each person have?

n = 41;

Ms. Algebra has 41 math cards.

Mr. Geometry has 213 cards.

400

(4 + 3x)(-3) = -9

x = -1/3

500

(1/3)n + 2((1/3)n +5) = 12 

n = 2

Solve Equations Of The From -(a + b) and -(a - b)

100

Simplify.

-(5 - y)

-5 + y

200

-(2a - 7b - 6)

-2a + 7b + 6

300

Solve and check:

-(4x - 7) = 3x

x = 1

400

Solve and check:

5r - (2r + 8) = 16

r = 8

500

-4(2m + 2) = -4(m + 1)/4

m = -1

Hodgepodge

100

Solve and graph:

b - 6 > -12

b > -6

200

Solve and check:

4(3y + 2) = 44

y = 3

300

Solve and check:

Mr. Gerbil has w nuts. Ms. Hamster has 4 more than 2 times the amount Mr. Gerbil has. Together, they have 52 nuts. How many nuts does each have? 

w = 16;

Mr. Gerbil has 16 nuts.

Ms. Hamster has 37 nuts

400

Solve and check:

8(t - 2) = 5(t +4)

t = 12

500

Solve and graph:

-5 > -2(n + 11)

n > -8.5