Ch. 3 Flashcard Review: Solving Eqns., Eqns of Lines, Area Models

Front

What is the equation of a line with a slope of 3/5 that passes through the point (20, 6)?

Back

y = 3/5x - 6

Front

What is the product of (3x – 1)(x + 5)?

Back

3x² + 14x - 5

Front

What is the product of (2x - 1)(x + 2)?

Back

2x² + 3x - 2

Front

What is the result of multiplying (5x + 2)(x² - 3x + 6)?

Back

5x³ - 13x² + 24x + 12

Front

Which equation matches the graph: y = 2x, y = 1/4 x + 2, y = 1x + 4, y = 2x - 3?

Back

y = 1/4 x + 2

Front

Define a linear equation.

Back

An equation that makes a straight line when graphed, typically in the form y = mx + b.

Front

What does the slope of a line represent?

Back

The rate of change of y with respect to x; it indicates the steepness and direction of the line.

Front

What is the y-intercept in the equation y = mx + b?

Back

The value of y when x = 0; it is represented by b in the equation.

Front

How do you find the area of a rectangle?

Back

Area = length × width.

Front

What is the distributive property?

Back

a(b + c) = ab + ac; it allows you to multiply a single term by two or more terms inside a set of parentheses.