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Big Ideas Math Integrated I, 2016

BI

Big Ideas Math Integrated I, 2016 View details

4. Solving Absolute Value Equations

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Exercise 53 Page 34

Take the square root of both sides of the equation.

Answer: Always
Explanation: Square roots of the same number have the same absolute value.

Practice makes perfect

Before we begin, recall that a square root of a number raised to the second power is equal to the absolute value of that number.

a^{2} = ∣ a ∣

Let's use that information when taking the square root of both sides of the equation

x^{2} = a^{2}

$LHS = RHS$

x^{2} = a^{2}

$a^{2} = ∣ a ∣$

∣ x ∣ = ∣ a ∣

We can write our answer.

If $x^{2} = a^{2},$ then $∣ x ∣$ is $\underline{always}$ equal to $∣ a ∣ .$

Subchapter links

Communicate Your Answer p.27

Monitoring Progress p.28-31

Exercises p.32-34