# WRITING TWO STEP INEQUALITIES WORKSHEET

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.

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?

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.

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.

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.

+

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.

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