REI.6 algebra 1

Front

What is the cost of one cupcake if Desiree sells 12 cookies for $1.25 each and 8 cupcakes for a total of $33.00?

Back

$2.25

Front

How do you find the number of miles at which two rental companies charge the same amount if one charges an $80 fee plus $12 per mile and the other charges a $150 fee plus $8.50 per mile?

Back

20 miles

Front

At what x-value do the linear functions f(x) = 4x - 5 and g(x) = -x + 5 intersect?

Back

x = 2

Front

If a fruit stand sells cantaloupes for $4 each and watermelons for $7 each, how many of each did they sell if they sold a total of 35 fruits for $200?

Back

15 cantaloupes and 20 watermelons

Front

What is the solution to the system of linear equations x + y = -1 and -2x + 4y = 20?

Back

(x, y) = (-1, 0)

Front

Define a linear function.

Back

A linear function is a function that graphs to a straight line, represented by the equation f(x) = mx + b, where m is the slope and b is the y-intercept.

Front

What is the slope of the line represented by the equation y = 3x + 2?

Back

The slope is 3.

Front

What does the y-intercept represent in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of b in the equation y = mx + b.

Front

How do you determine the x-intercept of a linear equation?

Back

To find the x-intercept, set y = 0 in the equation and solve for x.

Front

What is the formula for calculating the slope between two points (x1, y1) and (x2, y2)?

Back

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