Solving
Graphing
Word Problems
Name that sign!
Mystery! OOOHH! AAHHHH!
100

3x<99

x<33

100

Graph x<-15

Open dot on -15, shaded to the left

100

Write an inequality to show that the maximum score on a game is 5,000. Use "s" for score.

s is less than or equal to 5000

100

What sign is this: >

Greater than

100

What does an open versus a closed dot tell us on a graph?

If equal to (so that exact number) is a solution

200

2x-4>6

x>5

200

What are the 2 questions we need to ask ourselves when graphing the solution to an inequality?

-What kind of circle/dot do I need?

-Which direction should I shade in?

200

Write an inequality to show that it must be at least 45 degrees in order to have class outside. Use "t" for temperature.

t is greater than or equal to 45

200

What signs have a closed dot on a graph?

Less than or equal to and greater than or equal to

200

Write the inequality that has a graph with a closed dot on 17 and is shaded in to the right

x is greater than or equal to 17

300

70<6+8x

x>8

300

Graph the possible solutions to how many gallons a 5 gallon bucket can hold.

Closed dots on 0 and 5, shaded in the middle

300

Write an inequality for the situation: 

4 friends get a $2 drink and a movie ticket. Their budget is under $50. How much could movie tickets (m) cost?

8+4m<50

300

Which signs could we put in the blank to shade in to the left?

x___0

Less than OR less than or equal to

300

Name 5 possible solutions to 5.5<x

any number over 5.5

400

8(3x-4)>40

x>3

400

Graph 17<-3+2x

Open circle on 10, shaded to the right

400

A student has 45 snickers bars and loses 2 every time he shouts out an answer. How many times can he shout out an answer and still have snickers to eat?

At most 22 times. Not below 0.

400

Which signs could we put in the blank to shade in to the left?

-7____x

Greater than OR greater than or equal to

400

What are 3 steps to solving an inequality?

-No constant

-No coefficient

-Graph the solution and check a value on either side of the dot

500

-10+x/15>-11

x>-15

500

What numbers are the solutions on the graph of an inequality?

Any and every number that is shaded in.

500

An astronomy teacher spent over $500 on a $150 lense and 2 new telescopes for their class. How much could the telescopes cost? Use "c" for cost.

c>175

500

If -3, 91, -4 and 0 are solutions, what sign goes in the blank?

x____-4

greater than or equal to

500

Solve and graph:

0.5x-14<-6

x<16

Open circle on 16, shaded to the left

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