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Unit 2 Test 1- Algebra
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Terms in this set (14)
Which equation represents a line that passes through (2, -1/2) and has a slope of 3?
y + 1/2 = 3(x+2)
Which graph shows a set of ordered pairs that represent a function?
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
Which graph shows a set of ordered pairs that represent a function?
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
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?
It is nonlinear because linear functions increase or decrease at the same rate.
A coordinate plane with a line passing through (0, negative 3), (2, 0), and (4, 3).
Which equation represents the graphed function?
y = 3/2x -3
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?
f(x) = 2.25x + 5
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)
all the real numbers greater than or equal to -3
A line contains points M(1, 3) and N(5, 0). What is the slope of MN?
-3/4
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?
60
Consider the function represented by the table.
What is f(0)?
4 and 6
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.
7/4 and 4.
OR
7/4 and 3
A coordinate plane with a line passing through (0, negative 3), (2, 0), and (4, 3).
Which equation represents the graphed function?
y = 3/2x-3
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?
f(x)=2.25x+5
A line contains points M(1, 3) and N(5, 0). What is the slope of MN?
-3/4
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Sedona Levy is planting a vegetable garden in the shape of a right triangle. The longer leg is 3 ft longer than the shorter leg, and the hypotenuse is 3 ft longer than the longer leg. Find the lengths of the three sides of the garden.
INTEGRATED MATH
Remember that the solution to the equation $$ x^3 $$ =216 is called the cube root of 216, which is 6. The cube root of 216 is written as $$ \sqrt [ 3 ] { 216 } $$ . The idea is similar to the idea of a square root, except that the solution , 6, must be cubed (multiplied by itself three times) to become 216. Use this information to evaluate each of the following expressions. a. $$ \sqrt [ 3 ] { 27 } $$ , b. $$ \sqrt [ 4 ] { 81 } $$ , c. $$ \sqrt [ 3 ] { - 64 } $$ , d. $$ \sqrt [ 3 ] { 1 } $$
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A hybrid car gets about 60 miles per gallon of gas in the city and about 51 miles per gallon on the highway. During one week, the hybrid uses 12 gallons of gas and travels 675 miles. Write a verbal model for the total distance driven. Then write an equation based on the verbal model. Solve the equation to find the amounts of gas used in the city and on the highway. Tell how many miles were driven in the city and on the highway.
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A college student is considering a subscription to a social-networking Internet site that advertises its cost as "only 87 cents per day." What is die cost of membership in dollars per year? - How many conversion factors will you need to use to solve the problem? - How do you choose die appropriate conversion factors?
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