Classwork - Friday 12/6

Front

What is the result of the expression 5x - 8x + 7 - 4?

Back

-3x + 3

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, y).

Front

Solve the equation -2(x - 5) = -14. What is x?

Back

x = 12

Front

What is the first step to solve the equation 5x - 9 = 16?

Back

Add 9 to both sides.

Front

Solve for m in the equation \frac{m}{4} = -2.

Back

m = -8

Front

What is the definition of a variable in mathematics?

Back

A variable is a symbol used to represent an unknown value.

Front

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

Back

To isolate a variable means to manipulate the equation so that the variable is on one side and all other terms are on the opposite side.

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 find the slope of a line given two points (x1, y1) and (x2, y2)?

Back

The slope m is calculated as m = (y2 - y1) / (x2 - x1).

Front

What is the definition of a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed, typically in the form y = mx + b.