Solving Equations
Equation Word Problems
Inequalities
Inequality Word Problems
Graph it!
100
\frac{x-3}{6}=3
x=21
100
Pickle the cat has a total of 12 toy mice in her collection. If she plans to collect an additional 4 mice per month, how many months will it take her to collect 32 total mice?
5 months
100
5x >= -15
x >= -3
100
The spirit club makes a profit of $2 per baked good. If they need to make a profit at least $70, how many baked goods do they need to sell.
Use b for baked goods.
Write your answer as an inequality.
b >= 35
100
Which is the graph for the equation:
y=-3/5 x+3
a. 
b. 
c.
d. 
A
200
3(x-5) -x = -27
x = -6
200
Mr. Bagshaw wants to play a game in his class. Each student picked 5 game pieces and there are 12 pieces left over. If there are a total of 122 game pieces, how many students are playing the game?
22 Students
200
3-x <= 5
x>= -2
200
Christopher want to rent a space for a big party. The place he wants cost $150 for a deposit and $25 per hour of the party. He has to spend less than $300.
Write an inequality to show the cost of the party.
150 + 25x <300
200
Which is a correct equation for the following graph?
y= 2x+3 y=1/2x-6
y=1/2x+3 y=3x-6
y=1/2x+3
300
4(-x+5) = 1/2 x-7
x=6
300
The Biology classes at PHS want to take a field trip to the zoo. There is a service charge of $200 per school group plus $6 per student. If the school paid $800 for the field trip, how many students went to the zoo.
100 students
300
16 + 3x < 25
x < 3
300
The Johnson family is moving and wants to have cable in their new house. Verizon charges an installation fee of $99 plus an additional $12 per cable box. How many rooms can have a cable box if the Johnson family wants to spend at most $150. Use c for cable box. *Hint: round your answer
Write an inequality and solve.
12c + 99 <= 150 , c <= 4
300
Select the graph that represents the equation:
y = -2/5x + 2
a. 
b.
c. 
d. 
B 
400
-2(x-8) = -2x-8
No Solution
400
Terry bought 75 wings at Wing Stop for himself and his friends. Everyone ate exactly 12 wings each and there were 3 wings left over. How many people ate wings?
6 people or Terry and 5 friends
400
-8 > -2x -6
x > 1
400
AJ wants to go on a vacation to the beach with his friends. He currently has $230 in his savings account and is planning on putting $50 in his account each month. How many months does he need to save if he needs at least $600 for vacation?
Write an inequality and solve.
50x + 230 >= 600, x>=7
400
Select the inequality that represents the graph below:
y < -2/3x+2
y > -2/3x +2
y <= 2/3x +2
y <= -2/3x +2
y < -2/3x+2
500
7x-6-4x=3(x-2)
Infinitely Many Solutions
500
When Ms. Carlson was in college the cost of a cell phone plan was $30 per month plus an additional 25 cents per text message. If her parents got a phone bill for $156, how many text messages did she send that month?
504 text messages
500
\frac{x+1}{-1}\le2x-10
x>=3
500
Before Uber, a taxi cost $6 per person plus 75 cents per mile. If a person can not spend more than $10, how far could they travel in the taxi? Round your answer to the nearest mile
Write an inequality and solve.
0.75x + 6 < 10, x<5
500
Select all of the points that could be solutions for the inequality:
y>4x+1
(0,1) (0,5) (5,0) (-2,-2) (1,5)
(0,5) (-2,-2)