I.C. #12 Math 1 Final Review Pt. 1

Front

What is the average rate of change?

Back

The average rate of change is the change in the value of a quantity divided by the change in time. For example, if a climber goes from 400 feet to 700 feet in 4 hours, the average rate of change is (700 - 400) / (6 - 2) = 75 feet per hour.

Front

Solve for y: 4(y + 4) = 46 - 2y

Back

y = 5

Front

Which equation represents the relationship '5 less than a number is -3'?

Back

x - 5 = -3

Front

How do you write the equation of a line in Standard Form using points (5,3) & (4,5)?

Back

The equation is 2x + y = 13.

Front

If the drama club made a total of $290 from ticket sales and concessions, how many tickets were sold if each ticket costs $5 and they made $55 from concessions?

Back

47 tickets were sold.

Front

What is the formula for calculating the slope of a line?

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Front

Define a linear equation.

Back

A linear equation is an equation that makes a straight line when graphed. It can be written in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the y-intercept in the equation y = 2x + 3?

Back

The y-intercept is 3, which is the point where the line crosses the y-axis.

Front

How do you convert the equation 2x + 3y = 6 into slope-intercept form?

Back

To convert to slope-intercept form (y = mx + b), solve for y: 3y = -2x + 6, so y = -2/3x + 2.

Front

What does it mean for two lines to be parallel?

Back

Two lines are parallel if they have the same slope and will never intersect.