HW 3 (A-CED,A-REI)

Front

What is the equation for a man descending from a height of 100 feet at a rate of 30 feet per minute?

Back

y = 100 - 30x

Front

What is the first step in solving the system of equations 3x + y = 8 and y = 4x - 6 using substitution?

Back

3x + (4x - 6) = 8

Front

What inequality does the number line graph with a closed circle at 3 represent?

Back

x ≥ 3

Front

How do you write an equation in slope-intercept form for a situation with a $30 startup fee and a $4 monthly fee?

Back

y = 4x + 30

Front

Is (1,1) a solution to the equation 3x + y = 8?

Back

No

Front

What does the slope-intercept form of a linear equation look like?

Back

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

Front

How do you determine if a point is a solution to a system of equations?

Back

Substitute the point's coordinates into both equations and check if both are true.

Front

What is the meaning of the slope in a linear equation?

Back

The slope represents the rate of change of y with respect to x.

Front

What does it mean for a system of equations to be consistent?

Back

A consistent system has at least one solution.

Front

What is the substitution method in solving systems of equations?

Back

The substitution method involves solving one equation for one variable and substituting that expression into the other equation.