Podcast
Questions and Answers
Which of the following steps is necessary to solve a two-step equation?
Which of the following steps is necessary to solve a two-step equation?
- Raise both sides to a power
- Multiply or divide a number to both sides
- Take the square root of both sides
- Add or subtract a number to both sides (correct)
What is the first step to solve the equation 3x + 7 = 16?
What is the first step to solve the equation 3x + 7 = 16?
- Multiply both sides by 3
- Add 7 to both sides
- Divide both sides by 3
- Subtract 7 from both sides (correct)
What is the solution to the equation 5(x-2) = 25?
What is the solution to the equation 5(x-2) = 25?
- 8 (correct)
- 7
- 9
- 6
What is the correct way to solve an absolute value inequality?
What is the correct way to solve an absolute value inequality?
Which of the following is a possible solution to the inequality |2x - 3| < 5?
Which of the following is a possible solution to the inequality |2x - 3| < 5?
What is the solution to the inequality |x + 2| > 3?
What is the solution to the inequality |x + 2| > 3?
What is the first step to solve an absolute value inequality?
What is the first step to solve an absolute value inequality?
What is the solution to the inequality |x - 3| ≥ 7?
What is the solution to the inequality |x - 3| ≥ 7?
What is the solution to the inequality |2x + 1| < 5?
What is the solution to the inequality |2x + 1| < 5?
Flashcards
Solving Two-Step Equations: Step 1
Solving Two-Step Equations: Step 1
The first step involves adding or subtracting a number to both sides of the equation to isolate the variable term.
Solving Two-Step Equations: Example
Solving Two-Step Equations: Example
Subtracting 7 from both sides isolates the term with the variable (3x).
Solving Multi-Step Equations: Step 1
Solving Multi-Step Equations: Step 1
To solve for x, first isolate the x term by performing the opposite operation on both sides of the equation.
Solving Absolute Value Inequalities: Step 1
Solving Absolute Value Inequalities: Step 1
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Solving Absolute Value Inequalities: Example 1
Solving Absolute Value Inequalities: Example 1
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Solving Absolute Value Inequalities: Example 2
Solving Absolute Value Inequalities: Example 2
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Solving Absolute Value Inequalities: Step 2
Solving Absolute Value Inequalities: Step 2
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Solving Absolute Value Inequalities: Greater Than
Solving Absolute Value Inequalities: Greater Than
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Solving Absolute Value Inequalities: Less Than
Solving Absolute Value Inequalities: Less Than
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Study Notes
Solving Equations and Inequalities
Two-Step Equations
- To solve a two-step equation, it's necessary to isolate the variable, which involves adding, subtracting, multiplying, or dividing both sides of the equation by the same value.
Equation 3x + 7 = 16
- The first step to solve this equation is to subtract 7 from both sides, resulting in 3x = 9.
Equation 5(x-2) = 25
- The solution to this equation is x = 7.
Absolute Value Inequalities
- To solve an absolute value inequality, it's essential to isolate the absolute value expression, then split the inequality into two separate inequalities and solve for x.
Inequality |2x - 3| < 5
- A possible solution to this inequality is x < 4 or x > -2.
Inequality |x + 2| > 3
- The solution to this inequality is x < -5 or x > 1.
First Step in Solving Absolute Value Inequalities
- The first step to solve an absolute value inequality is to isolate the absolute value expression by moving all terms to one side of the inequality.
Inequality |x - 3| ≥ 7
- The solution to this inequality is x ≤ -4 or x ≥ 10.
Inequality |2x + 1| < 5
- The solution to this inequality is -3 < 2x < 9, or -1.5 < x < 4.5.
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Description
Test your knowledge on solving two-step equations with this quiz! Learn the necessary steps to solve these types of equations and practice with sample problems. Keywords: two-step equations, necessary steps, solve, sample problems.
