Linear Equations & Inequalities

Equations

100

What is the solution to -5-6x+6=19 ?

x = -3

200

Find the value of x that satisfies 3(5x-1)-2=13x+3.

x = 4

300

Solve: (3(x+2))/4=2x+3 

n = -6/5

400

Solve for x:  2 abs(x)+25=23 

x = no solution

500

Solve the equation:  abs(5x+1)=abs(4x-7) 

x = {-8, 2/3}

Literal Equations

100

Solve for x if y = -4x - 12 ?

x = -1/4y - 3

200

Solve for y:  11-1/2y = 3+ 6x 

y = 16 - 12x

300

Solve for x: a = 2x + 6xz

x = a/(2+ 6z)

400

Solve for x: 12 - 5x -4kx = y

x = (y - 12)/(-5-4k)

500

Solve for k:  F = 9/5(k - 273.15)+ 32 

k = 5/9 (F - 32) + 273.15

Linear Inequalities

100

What is the solution to x - 7 < 3(x+1) ?

x > -5

200

Solve the inequality:  3(5x - 4) <= 4(3x - 2) 

x < 4/3

300

Solve:  5x - 7x >= x + 2 

x < -2/3

400

Solve for x: -2(x - 4) - 3x < -(4x + 1) +2x

a > 3

500

Solve the inequality: -6(1+2x) > 6(2x - 1) + 2x

x < 0

Compound Inequalities

100

What's the solution to ? x + 4 < 0 or -6x < 12 

x<-4 or x>-2

200

Solve the inequality: 5 < x-6 < 11

(11, 17)

300

Solve:  1<= 2/3x+3 <= 4 

[-3, 3/2]

400

Solve for x: 3(x - 1)< 12 or x + 7 > 10

All Real Numbers

500

Solve:  -1/2 <= (4x-1)/6< 1/2 

[-4/3, 2)

Absolute Value Inequalities

100

What is the solution to:  abs(x/3-1)-7>=-5  ?

x<= -3 or x>= 9

200

Solve the inequality:  abs(2x+9)+5>3 

All Real Numbers

300

Solve:  abs(2x+7) +10 <=23 

[-10, 3]

400

Solve for x:  -18+2abs(3+4x)<-8 

(-2, 1/2)

500

Solve:  -2abs(3/4x-1)<=-4 

x<=-4/3 or x>=4