Solve Equations with Square Roots Quiz
The question sheet
Reveal any answer as you study-
What is the first step to solve a radical equation?
- Square both sides
- Check the answer
- Solve the new equation
- Isolate the radical on one side
Reveal answer
Answer: Isolate the radical on one side
Source evidence
PDF page 1155: Step 1. Isolate the radical on one side of the equation. Step 2. Square both sides of the equation. Step 3. Solve the new equation. Step 4. Check the answer. Some solutions obtained may not work in the original equation.
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After isolating the radical, what is the next step in solving a radical equation?
- Divide both sides
- Add the radicals
- Square both sides
- Check the answer
Reveal answer
Answer: Square both sides
Source evidence
PDF page 1155: Step 1. Isolate the radical on one side of the equation. Step 2. Square both sides of the equation. Step 3. Solve the new equation. Step 4. Check the answer. Some solutions obtained may not work in the original equation.
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According to the steps, what must be done to both sides after the radical is isolated?
- Multiplied by the radical
- Cubed
- Divided by 2
- Squared
Reveal answer
Answer: Squared
Source evidence
PDF page 1155: Step 1. Isolate the radical on one side of the equation. Step 2. Square both sides of the equation. Step 3. Solve the new equation. Step 4. Check the answer. Some solutions obtained may not work in the original equation.
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What is the correct order of the last two steps in solving a radical equation?
- Isolate, then square
- Square, then isolate
- Solve the new equation, then check
- Check, then solve
Reveal answer
Answer: Solve the new equation, then check
Source evidence
PDF page 1155: Step 1. Isolate the radical on one side of the equation. Step 2. Square both sides of the equation. Step 3. Solve the new equation. Step 4. Check the answer. Some solutions obtained may not work in the original equation.
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In solving applications with formulas, what should you do after reading the problem?
- Answer with a sentence
- Solve the equation
- Identify what we are looking for
- Square both sides
Reveal answer
Answer: Identify what we are looking for
Source evidence
PDF page 1155: Step 2. Identify what we are looking for. Step 3. Name what we are looking for by choosing a variable to represent it. Step 4. Translate into an equation by writing the appropriate formula or model for the situation. Substitute in the given information. Step 5. Solve the equation using good algebra techniques. Step 6. Check the answer in the problem and make sure it makes sense. Step 7. Answer the question with a complete sentence.
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According to the steps, how do you name what you are looking for?
- By drawing a figure
- By choosing a variable
- By checking the answer
- By squaring it
Reveal answer
Answer: By choosing a variable
Source evidence
PDF page 1155: Step 2. Identify what we are looking for. Step 3. Name what we are looking for by choosing a variable to represent it. Step 4. Translate into an equation by writing the appropriate formula or model for the situation. Substitute in the given information. Step 5. Solve the equation using good algebra techniques. Step 6. Check the answer in the problem and make sure it makes sense. Step 7. Answer the question with a complete sentence.
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What is the final step in solving applications with formulas?
- Choose a variable
- Answer with a complete sentence
- Check the answer
- Solve the equation
Reveal answer
Answer: Answer with a complete sentence
Source evidence
PDF page 1155: Step 2. Identify what we are looking for. Step 3. Name what we are looking for by choosing a variable to represent it. Step 4. Translate into an equation by writing the appropriate formula or model for the situation. Substitute in the given information. Step 5. Solve the equation using good algebra techniques. Step 6. Check the answer in the problem and make sure it makes sense. Step 7. Answer the question with a complete sentence.
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The skid marks formula s = √(24d) is used to find what?
- The height of a drop
- The speed of the car before braking
- The time to stop
- The length of the skid marks
Reveal answer
Answer: The speed of the car before braking
Source evidence
PDF page 1156: ◦ If the length of the skid marks is d feet, then the speed, s, of the car before the brakes were applied can be
PDF page 1156: found by using the formula s = 24d .
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In the skid marks formula, what does d represent?
- The time in seconds
- The speed of the car
- The height in feet
- The length of the skid marks in feet
Reveal answer
Answer: The length of the skid marks in feet
Source evidence
PDF page 1156: ◦ If the length of the skid marks is d feet, then the speed, s, of the car before the brakes were applied can be
PDF page 1156: found by using the formula s = 24d .
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In solving a radical equation, what do you do immediately after isolating the radical?
- Divide by two
- Square both sides
- Add the radicals
- Factor the expression
Reveal answer
Answer: Square both sides
Source evidence
PDF page 1155: Step 1. Isolate the radical on one side of the equation. Step 2. Square both sides of the equation. Step 3. Solve the new equation. Step 4. Check the answer. Some solutions obtained may not work in the original equation.
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According to the steps, why must solutions of a radical equation be checked?
- Radicals cannot be squared
- Squaring is always exact
- Checking gives more answers
- Some solutions may not work
Reveal answer
Answer: Some solutions may not work
Source evidence
PDF page 1155: Step 1. Isolate the radical on one side of the equation. Step 2. Square both sides of the equation. Step 3. Solve the new equation. Step 4. Check the answer. Some solutions obtained may not work in the original equation.
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What is Step 1 in solving a radical equation?
- Isolate the radical
- Check the answer
- Square both sides
- Solve the new equation
Reveal answer
Answer: Isolate the radical
Source evidence
PDF page 1155: Step 1. Isolate the radical on one side of the equation. Step 2. Square both sides of the equation. Step 3. Solve the new equation. Step 4. Check the answer. Some solutions obtained may not work in the original equation.
Elementary Algebra 2e
Elementary Algebra 2e by OpenStax, used under CC BY 4.0. Changes made by Stratacademy.
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