Solving Equations in Algebra

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QuieterAlpenhorn
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12 Questions

What is the purpose of an equation in algebra?

Both a and c

What is a variable in an algebraic equation?

A symbol representing an unknown quantity

What is the process of finding the values that make an equation true called?

Solving the equation

Which property allows you to add the same quantity to both sides of an equation?

Property 1

What does it mean when two equations are called equivalent?

They have the same solutions or roots

If A = 2x + 3 and B = 4x - 1, which property would you use to solve A + B = 11?

Both a and c

What does 'LHS' stand for in the context of checking answers for linear equations?

Left-hand side

If an equation contains fractions, what is the recommended step before solving it?

Multiply each side by the lowest common denominator

Which of the following is a linear equation?

$3x - 2 = x - 1$

What property is being used when solving an equation by performing the same operation on both sides?

Properties of equality

In the equation $\frac{6x}{3} - \frac{2}{4} = \frac{9x}{4}$, what is the lowest common denominator (LCD)?

12

What type of equation is $x^2 - 2x - 8 = 0$?

Quadratic equation

Learn how to solve equations and construct equations that model real-life scenarios. Understand the concept of variables and how they are used in algebraic equations. Practice solving equations with variables and constants.

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