Consecutive Integers Practice

Consecutive Integers Practice

Algebra 1

Before we get started, let's try a review problem for solving equations.

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 $4\left(x+3\right)-7\left(-2+8x\right)=32$  

Write your answer in the form x=#/#

Remember, for consecutive integers, each number goes up by one, so we use n, n+1, n+2,...

For consecutive even/odd integers, we skip a number so we go up by 2 each time using n, n+2, n+4...

Try the following examples on a separate sheet of paper. Enter your answers in the form #, #, and #

Upload a picture of your work to Classroom to receive full credit.

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The sum of three consecutive integers is -114. Find the integers.

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The sum of three consecutive even integers is 138. Find the integers.

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The sum of three consecutive odd integers is -219. Find the integers.

Perimeter word problems.

Perimeter = Add all the sides

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The width of a rectangle is 12cm less than the length. The perimeter is 156cm. Find the dimensions of the rectangle.

Write your answer in the form: l=#cm, w=#cm

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The length of a garden is 10 cm longer than three times the width. The perimeter of the garden is 260 cm. Find the dimensions of the garden.

Write your answer in the form: l=#cm, w=#cm

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In a triangle, one side is three times as large as the smallest side and the third side is 40 feet more than the smallest side. The perimeter of the triangle is 185 feet. Find the measurements of all three sides.

Write your answer from least to greatest in the form:

#ft, #ft, and #ft

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A triangular sail has a perimeter of 25 m. Side a is 2 m shorter than twice side b, and side c is 3 m longer than side b. Find the length of each side.

Write your answer in the form:

a=#m, b=#m, and c=#m