Solving for a Variable in a Two-Variable Linear Equation
Linear Equations
Linear Inequalities
Solving Linear Inequalities With One Variable
Linear Inequalities 2
100

Express y in terms of x.


2 (x + 1) = 7 – y

y = 5 – 2x

100
What is the solution to x + 3 = 1 ?
x = -2
100
What is the solution to x - 2 > 0 ?
x > 2
100

4x – 2 > 8 + 2x

x > 5

100
What is the solution to x + 1 + 1 > 0 ?
x > -2
200

Express y in terms of x:

7 – 3x = 2y – 0.6x

3.5 – 1.2 x = y

200

Solve for r: -3(1+6r) = 14 - r

r = -1

200
Solve the inequality: 3x - 2 < 0
x < 2/3
200

12.3 – 0.4x > 0.1x + 6.1

x < 12.4

200
Solve the inequality: -3x - 1 > 5
x < -2
300

Express x in terms of y. Find the value of x when y = 4.

– 2(x + 3y ) = x + 6y


x = – 4y

x = – 16

300

Solve the equation: 10p + 9 - 11 - p = -2(2p + 4) - 3(2p - 2)

p = 0

300
Solve: 4x + 1 - 1 > -8
x > -2
300

2.3x – 3 ≥ 1.8x + 2

x ≥ 10

300
Solve: -6 > 5n + 5 + 4
n < -3
400

Express x in terms of y. Find the value of x when y = 4.

2.5(x – 2y ) = 10

x = 4 + 2y

x = 12

400
Solve for n: -16 + 5n = -7(-6 + 8n) + 3
n = 1
400
Solve for a: -5(1 - 4a) > -5
a > 0
400

Thirty-six plus twice an integer, p, is more than fifteen minus p. Find the smallest possible value of p

-6

400
Solve for a: a - 15 > -4(-6 + 3a)
a > 3
500

Solve the equation for x: 


10p + 9 - 11 - p = -2(2x + 4) - 3(2x - 2)

x = -9p/10

500
Solve the equation: 10(x + 3) - (-9x - 4) = x - 5 + 3
x = -2
500
Solve the inequality: -6(1+2x) > 6(2x - 1) + 2x
x < 0
500

The company Jaden uses for Internet service charges $25 each month plus $0.04 for each minute of usage time. 

Write a linear equation for the monthly charge, M dollars, in terms of the usage time, t minutes.

m = 25 + 0.04t

500
Solve: 5x - (x + 2) > -5(1 + x) + 3
x > 0
M
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