Solving Equations and Inequalities

Just Equations

100

Solve :

k + 20 = 9k + 4

k = 2

200

Solve :

11m - 4 = 3m + 36

m = 5

300

Solve :

3x + 5 = 10x + 26

x = -3

400

Solve:

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

n = -7/3

500

Solve:

x - 1 -2x+100= 2x -x+5

x = -47

Inequalities

100

Solve the inequality:

s + 8 < 10

s < 2 

200

Solve the inequality:

-8x < 40

x > -5 

300

Solve the inequality:

12n > 9n +7

n > 7/3 or 2 1/3 

400

Solve the inequality:

3t > 8t - 75

t < 15

500

Solve the inequality:

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

x > 4/9

Equations with Fractions

100

Solve :

2(2y + 3) = 28/2

y = 2

200

Solve :

5(3x - 2) = 15/3

x = 1

300

Solve :

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

Solve :

(4 + 3x)(-3) = -27/3

x = -1/3

500

Solve :

(1/3)n + 2((1/3)n +5) = 12 

n = 2

Equations with parenthesis

100

Solve:

-(5 - y)+2(y-5)=6

y=7

200

Solve:

2(b-1)=6-3(b+1)

b=1

300

Solve :

-(4x - 7) = 3x

x = 1

400

Solve and check:

5r - (2r + 8) = 16

r = 8

500

Solve :

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

m = -1

Misc.

100

Solve the inequality:

b - 6 > -12

b > -6

200

Solve:

4(3y + 2) = 44

y = 3

300

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:

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

t = 12

500

Solve the Inequality:

-4 > -2(n + 11)

n > -9