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# Basic Algebra

Please see the attached file for the fully formatted problems.

Find the value of c ( formula ) if p = 220.

Find the perimeter of a triangular postage stamp with sides 2.3, 2.6, and 2.1 centimeters long. Choose from the following.

Choose "<", "=", or ">" symbol to make a true statement.

Evaluate the expression.

Find the area of a triangle with a base of 7.75 centimeters (cm) and a height of 1.25 cm. Choose the correct answer from the following.

Remove the parentheses.
- 5(t - 3)

Is the statement below true or false?
8x^2 + 5(12x - x^2) + 11x = 3x^2 + 71x

Solve the formula for the variable q and choose the correct answer from the following.

The carpenter in the figure below saws a board into two pieces. He wants one piece to be 2 feet longer than twice the length of the shorter piece. Find the length of each piece if y = 23.

True or False:
The points (8, 8), (0, 7), and (8, 6) lie on the following line:

True or False:
Below is the graph of the equation y = x + 6.

Tell whether the line that passes through the two given points is parallel or perpendicular (or neither) to a line with a slope of -2. Match the points in the left column with the appropriate phrase in the right column.

Neither parallel nor perpendicular

Perpendicular

Parallel

Use point-slope form to determine the equation of the line passing through the two given points. Then write the equation in slope-intercept form.
(3,6), (4,13)

Determine the equation of the line that passes through the point (8,3) and is parallel to the line 5 y - 25 x = 6. Select the correct answer in slope-intercept form:

y = 5x - 37

y = 5

y = 5x + 37

Solve the following system of equations by graphing:

The system is inconsistent.

The equations are dependent.

(-4, 2)

Factor the polynomial.
625 a 4 - 256 b 4

Simplify the radical: . Assume that all variables represent positive numbers.

Simplify the radical expression . Assume that all variables represent positive numbers.

Use the quadratic formula to solve the following equation.
11 x + 4 = 20 x 2

Solve each system in the left column by graphing, if possible. Match each system in the left column with the correct result in the right column.

no solutions

infinitely many solutions

Solve the equation.

Solve the equation.

Solve the inequality.

#### Solution Summary

Basic algebra problems are solved. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.

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