### About Applications of Linear Equations Part 1:

When solving a word problem, the most important step is to understand the main objective. This gives the student a laser focus. We can then filter through all of the information, leading to an equation that can be solved. We then provide an answer and check to make sure it is reasonable.

Test Objectives

- Demonstrate the ability to read a word problem and understand the main objective
- Understand how to set up an equation based on the information given in a word problem
- Demonstrate the ability to check the solution to a word problem

#1:

Instructions: Solve each word problem.

a) Negative three is multiplied by the difference of two and three times a number. The result is negative thirty-three. Find the number.

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#2:

Instructions: Solve each word problem.

a) Four times the sum of seven and two times a number is eighty-four. Find the number.

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#3:

Instructions: Solve each word problem.

a) Eight is multiplied by the sum of a number and seven. Then five times the sum of the number multiplied by two and one is subtracted away, the result is sixty-three. What is the number?

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#4:

Instructions: Solve each word problem.

a) The quotient of five and three is multiplied by a number then added to one. The result is the same as the quotient of negative five and two, times the number, less twenty-two divided by three. Find the number.

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#5:

Instructions: Solve each word problem.

a) The quotient of a number and three is added to four times the number, the result is the same as twice eight less than the number. Find the number.

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Written Solutions:

#1:

Solutions:

a) -3

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#2:

Solutions:

a) 7

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#3:

Solutions:

a) -6

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#4:

Solutions:

a) -2

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#5:

Solutions:

a) $$-\frac{48}{7}$$