12/6/24 - 2nd 9Wks; Wk 2 & 3 Take Home Test - Block 1

Front

What does the equation y = 1/15x + 3000 represent in a hiking context?

Back

It represents Emily's altitude (y) in feet as a function of the distance (x) she hiked in feet.

Front

What is the rate of change in altitude for the equation y = 1/15x + 3000?

Back

For every 15 feet hiked, the altitude increases by 1 foot.

Front

How do you calculate F(3) for the function F(x) = 2x - 3?

Back

F(3) = 2(3) - 3 = 6 - 3 = 3.

Front

How do you calculate G(2) for the function G(x) = -4x + 1?

Back

G(2) = -4(2) + 1 = -8 + 1 = -7.

Front

What is the combined value of F(3) + G(2) if F(3) = 3 and G(2) = -7?

Back

F(3) + G(2) = 3 + (-7) = -4.

Front

What does it mean for two lines to be parallel in geometry?

Back

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

Front

If line R is parallel to line S, what can be said about their angles?

Back

The corresponding angles formed by a transversal intersecting parallel lines are equal.

Front

What is the solution to the equation 5x - (3x + 4) = 3x + 8?

Back

x = -12.

Front

How do you simplify the equation 5x - (3x + 4)?

Back

5x - 3x - 4 = 2x - 4.

Front

What is the first step in solving the equation 2x - 4 = 3x + 8?

Back

Add 4 to both sides: 2x = 3x + 12.