Unit 3 Test

Front

What is the process to clear fractions from an equation?

Back

To clear fractions from an equation, multiply every term by the least common denominator (LCD) of all the fractions present in the equation.

Front

How do you convert an equation to standard form?

Back

An equation is in standard form when it is written as Ax + By = C, where A, B, and C are integers, and A should be non-negative.

Front

What is the least common denominator (LCD)?

Back

The least common denominator (LCD) is the smallest multiple that is common to the denominators of two or more fractions.

Front

What does it mean to isolate a variable in an equation?

Back

Isolating a variable means rearranging the equation so that the variable is on one side of the equation and all other terms are on the opposite side.

Front

What is the standard form of a linear equation?

Back

The standard form of a linear equation is Ax + By = C, where A, B, and C are integers, and A is non-negative.

Front

How do you solve for x in the equation 2 = (3/2)x + (4/5)?

Back

To solve for x, first clear the fractions by multiplying through by the least common denominator, then isolate x.

Front

What is the significance of the slope-intercept form of a linear equation?

Back

The slope-intercept form, y = mx + b, allows you to easily identify the slope (m) and the y-intercept (b) of the line.

Front

What is the difference between standard form and slope-intercept form?

Back

Standard form is Ax + By = C, while slope-intercept form is y = mx + b. Standard form emphasizes integer coefficients, while slope-intercept form emphasizes slope and intercept.

Front

How can you check if your solution to an equation is correct?

Back

You can check your solution by substituting the value back into the original equation to see if both sides are equal.

Front

What is a linear equation?

Back

A linear equation is an equation that represents a straight line when graphed, typically in the form Ax + By = C.