Linear Inequalities and Literal Equations

Literal Equations

100

P = a + b + c + d 

 Solve for c

c = P - a - b - d

200

D = 1/6(pq)

 Solve for q

q = (6D)/p

300

S = 4Lw + 2wh 

Solve for L

L = (S - 2wh) / (4w)

400

A = 1/2*h*(B + b)

If B = 10, b = 5 and A = 90, solve for h.

h = 12

500

A = P + PRT 

Solve for R

R = (A - P) / (PT)

Solving Equations

100

3x - 5 = 16

Solve for x

x = 7

200

4x - 6 = -3x + 8

x = 2

300

1/2x - 8 = 1/4 x - 6

x = 8

400

-3x - 6 = -8x + 4

x = 2

500

What process was used to obtain the equation shown in step 2?

Step 1: 

1/3x - 7 = 1/6x + 4

Steph 2:

2x - 42 = x + 24

Multiplied both sides of the equation by 6

Writing Equations

100

Write an equation for "two more than six times a number is equal to four times the sum of seven and eight"

6x + 2 = 4(7 +8)

200

The cost for laser tag (L) is seven dollars more than the cost for bumper cars (b). 

Write an equation relating the cost of laser tag to the cost of bumper cars.

L = b + 7

OR

L - b = 7

300

Ken went to the store and bought 2 video games (v) and 7 bags of chips (c). He spent $80 in total.

Write an equation that could be used to find the cost of each item.

2v + 7c = 80

400

Jim is 3 years older than twice the age of Pam. 

Write an equation relating the two ages to each other

J + 3 = 2P

500

Antonio has d dimes and n nickels. He has $20 total. 

Write an equation to relate the number of each coin he has to his total money.

0.10d + 0.05n = 20

Linear Inequalities 1

100

d + 12 > -8

Solve for d

d > -20

200

15(x - 6) - 9x <= -4

x <= 43/3

300

(-2/3)h + 2 >= 10

h >= -12

400

-2(x - 4) -3x < -(4x + 1) + 2x

x > 3

500

0.25(x + 4) > (1/5)(2x + 3)

x < 8/3

Linear Inequalities 2

100

(-2/3)c < 4/9

c > -(2/3)

200

(4 + 5g)/2 >= 17

g >= 6

300

10 - q/3 <= q - 6

q >= 12

400

4(n - 5) <= 1 + 8n - 2

n >= -19/4

500

4x + 8 > 11 + 3(2x - 3)

x < 3