Radical Equations
For the first eight problems, solve each equation. Make sure to check your answers.
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| 1) Solve for “x.”
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| 2) Solve for “x.”
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| 3) Solve for “x.”
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| 4) Solve for “x.”
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| 5) Solve for “y.”
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| 6) Solve for “x.”
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| 7) Solve for “x.”
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| 8) Solve for “x.”
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| 9) Explain the solution to the previous problem.
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| 10) Solve and write the solution in simplest form.
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| 11) Explain the solution to the previous problem.
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| 12) Solve and write the solution in simplest form.
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| 13) Solve and write the solution in simplest form.
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| 14) Solve for “x.”
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| 15) Solve for “x.”
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| 16) Solve for “x.”
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Extra Practice: Check with you instructor to see if s/he would like for you to do some extra practice problems. Click here to view the practice worksheet.
Extra Practice: Check with you instructor to see if s/he would like for you to do some extra practice problems. Click here to view the practice worksheet.
Extra Practice: Check with you instructor to see if s/he would like for you to do some extra practice problems. Click here to view the practice worksheet.
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| 17) State the Pythagorean Theorem.
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| 18) Explain how the Pythagorean Theorem can be used if the measure of one leg and the hypotenuse is known.
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For the next four problems, find the missing measure for each figure.
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| 19) Find the missing measure.
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| 20) Find the missing measure.
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| 21) Find the missing measure.
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| 22) Find the missing measure.
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| 23) If you lean a fourteen-foot ladder against the garage to rescue your kitten that is on a roof that is 10 feet high, how far from the garage should you place the ladder? Express the answer in simplest form.
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| 24) A garden shaped like a right triangle is shown below. Find the length of the missing side and express the length in simplest form.
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Extra Practice: Check with you instructor to see if s/he would like for you to do some extra practice problems. Click here to view the practice worksheet.
Extra Practice: Check with you instructor to see if s/he would like for you to do some extra practice problems. Click here to view the practice worksheet.
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Review
Click here to review the unit content explanation for Expressions, Equations, and Inequalities.
Click here to review the unit content explanation for Integers and Equations.
Click here to review the unit content explanation for Linear Equations and Graphs.
Click here to review the unit content explanation for Factoring.
Click here to review the unit content explanation for Rational Expressions and Functions.
Click here to review the unit content explanation for Rational Expressions.
For the next two questions, determine if the graphs of the pairs of equations are “Parallel" or "Perpendicular.”
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| 25) Parallel or Perpendicular?
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| 26) Parallel or Perpendicular?
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For the next two problems, solve each equation.
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| 27) Solve: –3x + 5(6 – 2x) = 4(4 – 2x)
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| 28) Solve: 8y – 5(y + 3) = (7y – 1)3
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For the next two problems, simplify. State the letter of the correct answer.
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| 29) Simplify.
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| 30) Simplify.
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For the next two problems, find each sum or difference.
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| 31) Find the difference: (5a + 9b) – (2a + 4b)
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| 32) Find the sum: 4(2x + 3y) + (4x + 9y)
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For the next three problems, factor each polynomial completely.
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| 33) Factor the polynomial.
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| 34) Factor the polynomial.
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| 35) Factor the polynomial.
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For the next three problems, solve each equation by factoring.
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| 36) Solve for “y.”
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| 37) Solve for “w.”
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| 38) Solve for “x.”
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For the next two problems simplify the rational expressions.
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| 39) Simplify.
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| 40) Simplify.
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For the next two problems, find each product. Assume that no denominator is equal to zero.
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| 41) Find the product.
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| 42) Find the product.
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| 43) If you were directed by your school to complete Offline Activities for this course, please enter the information on the Log Entry form. |
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