**Writing two step inequalities worksheet :**

Worksheet on writing two step inequalities is much useful to the students who would like to practice solving word problems on inequalities.

1. A mountain climbing team is camped at an altitude of 18,460 feet on Mount Everest. The team wants to reach the 29,029-foot summit within 6 days. Write an inequality to find the average number of feet per day the team must climb to accomplish its objective.

2. The 45 members of the glee club are trying to raise $6,000 so they can compete in the state championship. They already have $1,240. What inequality can you write to find the amount each member must raise, on average, to meet the goal?

3. Ella has $40 to spend at the State Fair. Admission is $6 and each ride costs $3. Write an inequality to find the greatest number of rides she can go on.

**Problem 1 : **

A mountain climbing team is camped at an altitude of 18,460 feet on Mount Everest. The team wants to reach the 29,029-foot summit within 6 days. Write an inequality to find the average number of feet per day the team must climb to accomplish its objective.

**Solution : **

**Step 1 :**

Identify what you are trying to find. This will be the variable in the inequality.

Let d represent the average altitude the team must gain each day.

**Step 2 :**

Identify important information in the problem that you can use to write an inequality.

starting altitude : 18,460 ft

target altitude: 29,029 ft

Number of days times altitude gained to reach target altitude : 6 · d

**Step 3 : **

Use words in the problem to tie the information together and write an inequality.

**Step 4 : **

Hence, the inequality which represents the given situation is 18,460 + 6d ≥ 29,029

**Problem 2 : **

The 45 members of the glee club are trying to raise $6,000 so they can compete in the state championship. They already have $1,240. What inequality can you write to find the amount each member must raise, on average, to meet the goal?

**Solution : **

**Step 1 :**

Identify what you are trying to find. This will be the variable in the inequality.

Let x represent the amount that each member must raise on average to meet the goal.

**Step 2 :**

Identify important information in the problem that you can use to write an inequality.

starting balance : $1240

target balance : $6000

Number of members times amount raised by each member to reach the target balance : 45 · x

**Step 3 : **

Use words in the problem to tie the information together and write an inequality.

starting balance ($1240)

+

number of members (45)

times

amount raised by each member (x)

≥

target balance ($6000)

**Step 4 : **

Hence, the inequality which represents the given situation is 1240 + 45x ≥ 6000

**Problem 3 : **

Ella has $40 to spend at the State Fair. Admission is $6 and each ride costs $3. Write an inequality to find the greatest number of rides she can go on.

**Solution : **

**Step 1 :**

Identify what you are trying to find. This will be the variable in the inequality.

Let x represent the total number of rides she can go on.

**Step 2 :**

Identify important information in the problem that you can use to write an inequality.

admission : $6

cost of each ride : $3

maximum money can be spent : $40

Number of rides times cost per ride to reach the maximum money which can be spent : 3 · x

**Step 3 : **

Use words in the problem to tie the information together and write an inequality.

admission ($6)

+

aost of each ride ($3)

times

no. of rides (x)

≤

maximum money can be spent ($40)

**Step 4 : **

Hence, the inequality which represents the given situation is 6 + 3x ≤ 40.

After having gone through the stuff given above, we hope that the students would have understood "Writing two step inequalities worksheet".

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