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Questions and Answers
Which of the following steps is necessary to solve a two-step equation?
What is the first step to solve the equation 3x + 7 = 16?
What is the solution to the equation 5(x-2) = 25?
What is the correct way to solve an absolute value inequality?
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Which of the following is a possible solution to the inequality |2x - 3| < 5?
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What is the solution to the inequality |x + 2| > 3?
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What is the first step to solve an absolute value inequality?
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What is the solution to the inequality |x - 3| ≥ 7?
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What is the solution to the inequality |2x + 1| < 5?
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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.