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# Linear Equations, Inequalities and Word Problems

Solve each equation and check your answer

2(a-4)+4=5(9-a)

Solve each equation. Identify each equation as a conditional equation, an inconsistent equation or an identity.

Solve each equation for y. Write the equation in the form of y=mx+b where m and b are real numbers

Find the value of y in each formula if x=-3

Y+1=2(x-5)

Translate each verbal expression into an algebraic expression.

Two numbers with the sum of 12

Even integers.

Find two consecutive even integers that have a sum of 450.

Rectangle lot

The length of a rectangle lot is 50 feet more then the width. If the perimeter is 500 feet then what are the length and width.

Solve each inequality. State the solution set in interval notation and sketch its graph.

See attached file for full problem description.

#### Solution Preview

Please see the attached file for the complete solution.
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Solve each equation and check your answer

2(a-4)+4=5(9-a)

Check:

Solve each equation. Identify each equation as a conditional equation, an inconsistent equation or an identity.

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#### Solution Summary

Linear Equations, Inequalities and Word Problems are investigated. The functions for conditional equations are determined.

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