eQuizShow

Per. 2 Algebra Chpt.3 Aris Chung

Graphing Linear Equation

Question: Graph y + 2 = 7
Answer:

Question: Write 7x = 4y – 6 in standard form.
Answer: 7x – 4y = -6

Question: Graph y = 7 – 5x
Answer: y = 7 - 5x

Question: Graph –3x = 6y – 2
Answer: y = -(1/2)x + (1/3)

Question: Graph y= x^2-4x-5
Answer:

Solving Linear Equations by Graphing

Question: Solve the equation 3(t+2) −4=14 algebraically.
Answer: 4

Question: John is at the mall buying ice-cream for his friends. The function m = 5 − 1.25i represents the amount of money m he has left after i ice-cream. Find the zero value of this function by plotting points on a graph and finding the x-intercept.
Answer: 4

Question: While waiting in line to go up in the St. Louis Arch, Anthony thinks there are 80 people ahead of him. The equation p = 80 − 20h represents the number of people in front of him after h hours of waiting. Find the zero for this function.
Answer: 4

Question: Solve 2y=-x+7 by graphing
Answer: y=(-1/2)x+(7/2)

Question: Find the point of intersection of y=3x-2 and y=-x-6

Answer: graph of intersecting lines

Rate of Change and Slope

Question: Determine the slope of the line that passes through (2, 2) and (5, 8).

Answer: 2

Question: What is the slope of

in parallelogram ABCD?

Answer:

Question: Find the slope of the line that passes through (-2, 9.5) and (4, 5).

Answer:

Question:

Fisherman in the Finger Lakes Region have been recording thedead fish they encounter while fishing in the region. The Department ofEnvironmental Conservation monitors the pollution index for the Finger LakesRegion. The model for the number of fish deaths "y" and "x" is y = 9.607x + 111.958. What is the meaning of the slope? (You can round to what seems reasonable)

Answer:

For every increase in the pollution by one unit, there are nine or ten more fish deaths during the year.

Question:

You are working in an area with an important aquifer thathas been contaminated by a buried tank. You need to know the slope of the watertable so that you can calculate how quickly the contaminants will get to thenearby wells. You measure the depth to water in two wells: Well A has water at649 m elevation. Well B has water at 937 m elevation. The two wells are 0.7 kmapart. What is the slope of the water table?

Answer: 0.41 m

Direct Variation

Question:

If y varies directly as x and y = 21 when x = 5, find x wheny = 42.

Answer: 10

Question:

A direct variation equation has (-2, 4) and (n, -8) assolutions. Find the missing value.

Answer: 4

Question:

The weight of an object on Earth varies directly as theweight of the same object on the moon. A 300 pound object would weigh 48 poundson the moon. How much would a 65 pound object weigh on the moon?

Answer: 10.4 lbs.

Question:

The distance required to stop a car varies directly as thesquare of its speed. If 250 feet are required to stop a car traveling 60 miles perhour, how many feet are required to stop a car traveling 96 miles per hour?

Answer: 640 feet

Question:

If y varies directly as x², and y = 8 when x = 2, find ywhen x = 1.

Answer:

y = kx2

8 = k(22)

8 = 4k

2 = k

Proportional and Nonproportional Relationships

Question:

Write an equation to represent the function.

Answer: g(x) = x + 3

Question:

Write an equation for {(5, 2), (0, 12), (1, 10), (-2, 16)}

Answer:

y = -2x + 12

Question:

Which of the following situations can be described by alinear, non-proportional function?

A) The number of rabbits in a population that doubles insize every year.

B) The time it takes for a moving car to travel variousdistances at a constant speed.

C) The daily pay of a salesman who earns $5 for every salehe makes, plus a flat $100 fee every day.

D) The money raised by a person collecting pledges of $5 permile to run in a charity race.

Answer: C

Question:

What is the inverse equation of this graph?

Answer: y=(1/2)x+1

Question:

Find the inverse function of y = x² + 1

Answer: undefined