Unit 2 Test 1- Algebra

8 September 2022
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question
Which equation represents a line that passes through (2, -1/2) and has a slope of 3?
answer
y + 1/2 = 3(x+2)
question
Which graph shows a set of ordered pairs that represent a function?
Which graph shows a set of ordered pairs that represent a function?
answer
Which graph does not have 2 coordinates that share an X Coordinate? A function can share a Y coordinate such as (3,5) and (9,5) however, (5,4) and (5.7) is not a function
question
Which graph shows a set of ordered pairs that represent a function?
Which graph shows a set of ordered pairs that represent a function?
answer
A function can share a Y coordinate such as (3,5) and (9,5) however, (5,4) and (5,7) is not a function because the X coordinates are the same
question
Pauley graphs the change in temperature of a glass of hot tea over time. He sees that the function appears to decrease quickly at first, then decrease more slowly as time passes. Which best describes this function?
answer
It is nonlinear because linear functions increase or decrease at the same rate.
question
A coordinate plane with a line passing through (0, negative 3), (2, 0), and (4, 3). Which equation represents the graphed function?
answer
y = 3/2x -3
question
A store offers packing and mailing services to customers. The cost of shipping a box is a combination of a flat packing fee of $5 and an amount based on the weight in pounds of the box, $2.25 per pound. Which equation represents the shipping cost as a function of x, the weight in pounds?
answer
f(x) = 2.25x + 5
question
What is the range of the function on the graph? (curved U - shape line with the U point(bottom) at -3 and the top surpasses +5)
answer
all the real numbers greater than or equal to -3
question
A line contains points M(1, 3) and N(5, 0). What is the slope of MN?
answer
-3/4
question
The soccer team collected $800 at a car wash fundraiser. They charged $5.00 for small vehicles and $10.00 for larger vehicles. The amount collected can be modeled by the equation 5 x plus 10 y equals 800, where x represents the number of small vehicles and y represents the number of larger vehicles. If the number of larger vehicles washed was 50, how many small vehicles were washed in total?
answer
60
question
Consider the function represented by the table. What is f(0)?
answer
4 and 6
question
The graph of a relation is shown. A coordinate plane with a straight line. The line starts in the lower left quadrant and continues up through the uppercase right quadrant. The line passes through the y-axis slightly below the origin, and then passes through the x-axis slightly to the right of the origin. Which of these values could be the slope of the line? Select two options.
answer
7/4 and 4. OR 7/4 and 3
question
A coordinate plane with a line passing through (0, negative 3), (2, 0), and (4, 3). Which equation represents the graphed function?
answer
y = 3/2x-3
question
A store offers packing and mailing services to customers. The cost of shipping a box is a combination of a flat packing fee of $5 and an amount based on the weight in pounds of the box, $2.25 per pound. Which equation represents the shipping cost as a function of x, the weight in pounds?
answer
f(x)=2.25x+5
question
A line contains points M(1, 3) and N(5, 0). What is the slope of MN?
answer
-3/4