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

-1/7 = -2/7 + 3/4x 

Solve for x 

x = 4/21 or 0.19

Writing Equations

100

slope is 3/4 and y - intercept is 7 . 

Write equation in Slope intercept form 

y = 3/4x + 7 

200

Slope = 0 and passes through ( 3,6)  Write the equation of the line. 

y = 6 

300

Line passes through the following points (0,5) (2,3) 

Write the equation of a line 

y = -x + 5 

400

Line passes through ( 6,-2)  ( -6 , 6)  

Write the equation of the line. 

y = -2/3x + 2

500

Line passes through ( 4,-8)  (-11, 7) 

Write the equation of the line. 

y = -15/7x -116/7

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