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Lost in Translation
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Word Problems
100
A translation for the word "fewer"
What is "less than"?
100
The inequality for "no more than 18 people are allowed in the gallery"
What is p ≤ 18?
100

Solve & graph the inequality "x - 9 < 18"

What is x < 27?

Graph: Open circle on 27 shaded left

100

Solve & graph the inequality "3m > 15"

What is m > 5?

Graph should have an open circle on 5, shaded right.

100

Attendance at the Math World Museum more than tripled from Monday to Saturday. On Monday there were "x" people. On Saturday at least 558 people attended?  Write, solve, & graph an inequality for the number of people who attended Monday.

Inequality: 3x ≥ 558

Solution: x ≥ 186

Graph:  Closed circle on 186 shaded right.

Sentence:  At least 186 people attended on Monday.

200
A translation for the word "above"
What is "greater than"?
200
the inequality for "there are fewer than 8 fish in the aquarium"
What is f < 8?
200

Solve & graph the inequality "p-3 ≤ 4"

What is p ≤ 7?

Graph: Closed circle on 7 shaded left

200

Solve & graph the inequality "25c ≤ 200"

What is c ≤ 8?

Graph:  Closed circle on 8, shaded left.

200

George spent $678 to make wreaths for this holiday season. At least how many wreaths must he sell at $15 each in order to make a profit?  Write, solve, and graph an inequality to represent this situation.

Inequality:  $15x ≥ $678

Solution w ≥ $46

Graph:  Closed circle on 46 shaded right

George must sell at least 46 wreaths in order to make a profit.

300
A translation for "at least"
What is "greater than or equal to"?
300
The inequality for "the water level is above 45 inches"
What is w > 45?
300

Solve & graph the inequality "12 + k ≥ 9"

What is k ≥ -3?

Graph: Closed circle on -3, shaded right

300

Solve & graph the inequality "c ÷ (10) ≤ 12"

What is c ≤ 120?

Graph: Closed circle on 120, shaded left.

300

Hadley has $60 to spend on matching T-shirts that cost $8.40 each for her XC team.  The inequality 60 ≥ 8.40t represents the number of T-shirts she could buy.  

How many could receive a shirt?

Solution: 7.14 ≥ t  or 7.14 ≤ t  

Graph: Closed circle on 7 shaded left

Hadley could buy shirts for 7 people or less.

400
A translation for "at most"
What is "less than or equal to"?
400
The inequality for "no more than 35 tables are in the cafeteria"
What is t ≤ 35?
400

Solve & graph the inequality "k + 54 < 65"

What is k < 11?

Graph: Open circle on 11 shaded left

400

Solve & graph the inequality "15p ≤ 45"

What is p ≤ 3?

Graph:  Closed circle on 3, shaded left

400

Mr. Ellis (x) scored at least 12 more points than Tyson scored. If Tyson scored 15 points, at least how many points did Mr. Ellis score? Write, solve, and graph an inequality that represents this situation.

Inequality:  x - 15 ≥ 12

Solution x ≥ 27

Graph:  Closed circle on 12 shaded right

Mr. Ellis scored at least 27 points.

500
A translation for "no more than"
What is "less than or equal to"?
500
The inequality for "the number c is between -2 and 3"
What is -2 < c < 3?
500

Solve & graph the inequality " k + 3.2 ≥ 8"

What is k ≥ 4.8?

Graph: Closed circle on 4.8 shaded right

500

Solve & graph the inequality "a ÷ (65) < 10"

What is a < 650

Graph: Open circle on 650, shaded left

500

It costs Dianne $212 to make candles for the holiday season. At least how many candles must she sell at $8 each in order to make a profit?

Inequality: $8c ≥ $212

Solution: c ≥ 26.5

Graph: Closed circle on 27 shaded right

Dianne will need to sell at least 27 candles to make a profit.