Show:
Linear Equations
Rewriting Equations
Compound Inequalities
Inequalities
100

Solve for x

15 - 2x = 3x

x = 3

100

Solve for y

3y + 4x = 9

y = 3 - 4/3 x

100

Write the inequality

a number p is less then 6 and greater than 2

2 < p < 6

100

Solve and Graph for p

-6 ≤ 17 + p

p ≥ -23


picture n' graph

200

Solve for x

⅔ (3x + 9) = -2 (2x + 6)

x = -3

200

Solve for y

16x + 9 = 9y - 2x

y = 2x + 1

200

Solve and Graph the solution

v + 8 ≤ 3   or   -8v < -40

v ≤ -5   or   v > 5



picture graph

200

Solve and graph the inequality

18 - 5z + 6z > 3 + 6

z > -9

picture graph

300

Solve for g

3 (4g + 6) = 2(6g + 9)

infinite solutions

300

Solve for x

a = 2x + 6xz

x = a/ 2 + 6z

300

Solve and Graph the Solution

-12 < ½ (4x + 16) < 18

-10 < x < 5

300

At Summer Camp A it costs an automatic $100 for admission. You must then pay an additional $50 a week.

At Summer Camp B, it costs an automatic $70 for admission. Each week there costs $60.

At what number of weeks will the cost of camp be the same?

Camp will cost the same amount after 3 weeks.

400

Solve for x

120 - 5x = 15x

x = 6

400

Solve for x 

sx + tx = r

x = r / s + t

400

Write the inequality for this graph

picture of graph

-3 < x ≤ 2

400

Solve and Graph the inequality

1 + m/3 ≤ 6

m ≤ 15

picture graph

500

A baker orders 162 eggs. Each carton contains 18 eggs. Which equation can you use to find the number of x cartons? Once found, what is the solution?

A) 162x = 18          B) x/18 = 162

C) 18x = 162          D) x + 18 = 162

The answer was C. 

BY multiplying the number for eggs in each carton by 9 cartons, you get the answer of 162 eggs.

500

Your friend claims that thermometer A displays a greater temperature of 20 degrees celsius, than thermometer B, with a temperature of 70 degrees Fahrenheit. Is your friend correct? Explain.

Conversion: (F - 30) / 2 = c

In Celsius, thermometer A is 20 degrees, and thermometer B is also 20 degrees celsius, which means that thermometer B is not colder, nor warmer than thermometer A.

500

Turtles have been known to travel anywhere from 5 meters to 75 meters away from home during their lifetime. Write and graph a compound inequality that represents this range.

5 ≤ x ≤ 75

500

Solve and Graph for r

-4 (3 + r/-4) ≤ 6

r ≤ -12


picture graph