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Two-Step Equations Quiz

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Questions and Answers

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?

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?

8 (correct)

What is the correct way to solve an absolute value inequality?

Set the expression inside the absolute value bars greater than or equal to zero and solve for x. Signup and view all the answers

Which of the following is a possible solution to the inequality |2x - 3| < 5?

x > -1 or x < 4 Signup and view all the answers

What is the solution to the inequality |x + 2| > 3?

x < -5 or x > 1 Signup and view all the answers

What is the first step to solve an absolute value inequality?

Isolate the absolute value expression Signup and view all the answers

What is the solution to the inequality |x - 3| ≥ 7?

x ≤ -4 or x ≥ 10 Signup and view all the answers

What is the solution to the inequality |2x + 1| < 5?

-2 < x < 3 Signup and view all the answers

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.