Solving Linear Equations
Inequalities
Number of Solutions
Vocabulary
Literal Equations
100

10(5 - n) - 1 = 29 

n = 2

100

5x + 15 < -10 

x < -5

100

4y - 7 + 2y = -3(y - 1) - 1

One Solution

100

A symbol, usually a letter, that represents one or more numbers is called a

Variable

100

Solve for y 

k = a - y 

y = a - k 

200

5(5t + 1) = 25t - 7 

t = -7

200

290n + 120<= 1400

round to the nearest whole number

4

200

4x + 2(x - 5) = 3(2x -4) 

No Solution

200

Opposite operations that "undo" each other

Inverse Operations

200

Solve for X

w = x/(a-b) 

 X = w(a-b) or x = wa - wb

300

(4x + 6)/2 = (3x - 15)/3

x = -8

300

-2.1x + 2.1 < 6.3

x > -2

300

.5t + .25(t + 16) = 4 + .75t

Infinitely Many Solutions

300

In an algebraic expression _________are terms that have the same variables raised to the same exponents

like terms
300

Solve for M 

12(m + 3x) = 18(x - 3m)

m = - 3x/11

400

.25(2x - 1) + 10 = x 

x = 19.5

400

4(3 - 2x) > -4

x < 2

400

x + 2(x - 7) = 3x - 7

No Solutions

400

The relationship between two quantities that is not equal; comparing two values

Inequality

400

Solve for y 

2x + 3y = 12

y = 4 - (2x/3)

500

3y = (8-12y)/4 + 2

y = 2/3

500

.25x + 3 - .875x < -2

x > 8

500

2.5(2x + 5) = 5(x + 2.5)

Infinitely Many Solutions

500

If an equation is true for all values of the variable, then is has

Infinite Many Solutions

500

Solve for b 

abc = 1/2

b = 1/(2ac)