Gr 10 Math Ch 2: Literal Equations

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What is the first step when solving a literal equation for an unknown variable?

Factor the equation completely.

Isolate the variable by performing the opposite operation. (correct)

Eliminate all variables except the unknown.

Combine like terms on one side of the equation.

When taking the square root of both sides of an equation, what do you need to remember?

There will be a positive and a negative answer. (correct)

You must ignore the negative root.

You only find the positive root.

The equation does not change.

If the unknown variable appears in the denominator of a literal equation, what is the proper method to isolate it?

Substituting the denominator with a constant.

Adding the denominator to both sides.

Dividing both sides by the denominator.

Multiplying both sides by the lowest common denominator (LCD). (correct)

What should you do if an unknown variable is present in two or more terms in a literal equation?

Factor it out as a common factor. Signup and view all the answers

Solving a literal equation is often referred to as what?

Changing the subject of the formula. Signup and view all the answers

Which of the following is an example of a literal equation?

A = rac{1}{2}bh Signup and view all the answers

What is the primary goal when rearranging a literal equation?

To isolate the unknown variable Signup and view all the answers

When the unknown variable is involved in two terms, what approach should be taken?

Factor out the variable as a common factor Signup and view all the answers

Upon taking the square root of both sides of an equation, which outcome should be anticipated?

Both positive and negative answers must be considered Signup and view all the answers

What is the effect of having the unknown variable in the denominator of an equation?

The variable can be eliminated by multiplying by the lowest common denominator Signup and view all the answers

How does one determine the appropriate operation to perform when isolating the unknown variable?

Ask what the variable is joined to and how it is joined Signup and view all the answers

What does solving a literal equation relate to in terms of mathematical processes?

Changing the subject of the formula Signup and view all the answers

How should you approach a literal equation when the unknown variable appears across multiple terms?

The unknown should be factored out from the equation. Signup and view all the answers

What must be done to both sides of the equation when the unknown variable is located in the denominator?

Multiply both sides by the lowest common denominator. Signup and view all the answers

What consequence should be considered when taking the square root of both sides of a literal equation?

Both positive and negative solutions must be included. Signup and view all the answers

What is the essential skill required to isolate the unknown variable in a literal equation?

Recognizing which operation will simplify the statement. Signup and view all the answers

Which of the following is a key consideration when solving for an unknown variable in a literal equation?

One must ensure fractions are eliminated for clarity. Signup and view all the answers

In the process of solving a literal equation, what is often overlooked by students?

The need to check the final answer by substituting back. Signup and view all the answers