2.3/2.4 Flashcard Review

Front

What does the inequality x < 3 represent on a number line?

Back

It represents all numbers to the left of 3, not including 3 itself.

Front

How do you solve the equation 8x + 4y = 16 for y?

Back

Rearranging gives y = -2x + 4.

Front

What is the formula for h in the equation S = 2πrh?

Back

h = \frac{S}{2\pi r}.

Front

How do you solve the inequality \frac{1}{2}R + 6 \le 3 for R?

Back

Subtract 6 from both sides to get \frac{1}{2}R \le -3, then multiply by 2 to find R \le -6.

Front

What does the inequality 5A - 12 > 11A represent when solved for A?

Back

It simplifies to A > -6.

Front

What is the meaning of the term 'inequality' in mathematics?

Back

An inequality is a mathematical statement that compares two expressions and shows that one is less than, greater than, or not equal to the other.

Front

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

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you graph the inequality y < -2x + 4?

Back

Graph the line y = -2x + 4 as a dashed line and shade below it.

Front

What is the significance of the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, indicating the value of y when x = 0.

Front

What does it mean to solve an equation for a variable?

Back

It means to isolate the variable on one side of the equation to find its value.