Linear Equation Word Problems

Warm up

Math Response

Translate the following into algebraic expressions:

The sum of three consecutive integers, if x is the first consecutive integer.

Type answer here

Correct Answer: x+\left(x+1\right)+\left(x+2\right)

Deg^°

Rad

Math Response

Translate the following into algebraic expressions:

 The perimeter of the triangle with sides of length x, 5x, and 6x - 3.

Type answer here

Correct Answer: x+5x+\left(6x-3\right)

Deg^°

Rad

Vocabulary

Match

Match the following

• Algebraic Expression

• variable

• consecutive integers

x + 5

x

x + (x + 1) + (x +2)

• x + 5

• x

• x + (x + 1) + (x +2)

Your Turns

Dropdown

The sum of four consecutive even integers is 276. Find the integers.

The integers are ​ ​

Select answer

,​

Select answer

,​

Select answer

, and​

Select answer

.

Drag and Drop

The length of a rectangle is 2 feet less than twice its width. If the perimeter is 26 feet, find the length and width. The length of the rectangle

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feet and the width of the rectangle ​

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feet .

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8

5

6

7

9

Drag and Drop

Two cars leave a location traveling in opposite directions. If one car averages 55 miles per hour and the other averages 65 miles per hour, then how long will it take for them to separate a distance of 300 miles? It will take the cars

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hours to be 300 miles apart.

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4

3

5

1.5

3.25

2.5

Dropdown

At what annual interest rate must $2,500 be invested for 3 years in order to yield $412.50 in simple interest? A

Select answer

% annual interest rate to yield $412.50 in simple interest.

Exit Tickets

Drag and Drop

Find four consecutive odd integers with a sum of 184. The four consecutive numbers are ​​

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,​ ​

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, ​

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, and​

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.

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43

45

47

49

51

41

53

55

Drag and Drop

The length of a rectangle is 3 cm greater than its width. The perimeter is 24 cm. What are the dimensions of the rectangle? The length of rectangle is ​

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, and the width of the rectangle is ​​

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.

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4.5

7.5

9

15

8

5

Drag and Drop

Two trains leave New York City at the same time. The train traveling to Chicago is traveling at a speed of 75mph. The train traveling to Cleveland is traveling at a speed of 85 mph. When will the trains be 360 miles apart? The trains will be 360 miles apart in

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hours and ​

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minutes.

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2

.25

.3

25

15

Drag and Drop

At the end of the season, the cost of a snowboard was reduced by 40%. If the snowboard sells for $270 after the decrease, find the original price of the snowboard. The original price of the snowboard is ​$

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.

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450

432

278

675