Math: Test
A ramp with a constant incline is made to connect a driveway to a front door. At a point 4 feet from the driveway, the height of the ramp is 12 inches. At a point 6 feet from the driveway, the height of the ramp is 18 inches. What is the rate of change of the ramp's incline?
3 inches up per foot across
Which equation represents the graphed function?
3/2x - 3 = y
What is the y-intercept of the function f(x)=4 - 5x?
4
Line CD passes through points C(3, -5) and D(6, 0). What is the equation of line CD in standard form?
5x - 3y = 30
The graph of a relation is shown. Which of these values could be the slope of the line? Select two options.
7/4 3
The velocity of an object in meters per second varies directly with time in seconds since the object was dropped, as represented by the table. The acceleration due to gravity is the constant of variation. What is the acceleration due to gravity of a falling object?
9.8
Which graph represents a function with direct variation?
B
Which is the graph of the equation y-1=2/3(x-3)
B
Tickets to a basketball game can be ordered online for a set price per ticket plus a $5.50 service fee. The total cost in dollars for ordering 5 tickets is $108.00. Which linear function represents c, the total cost, when x tickets are ordered?
c(x) = 5.50 + 20.50x
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
Which equation represents a line that passes through (2, -) and has a slope of 3?
y + 1/2= 3(x - 2)
Alejandra correctly wrote the equation y - 3 = (x - 10) to represent a line that her teacher sketched. The teacher then changed the line so it had a slope of 2, but still went through the same point. Which equation should Alejandra write to represent the new line?
y - 3 = 2(x - 10)
Which equation represents the line that passes through (-6, 7) and (-3, 6)?
y = -x + 5
The point-slope form of the equation of the line that passes through (-9, -2) and (1, 3) is y - 3 = (x - 1). What is the slope-intercept form of the equation for this line?
y = 1/2x+5/2
On a number line, a number, b, is located the same distance from 0 as another number, a, but in the opposite direction. The number b varies directly with the number a. For example b = 2 when a = -2. Which equation represents this direct variation between a and b?
b= -a
The table shows the profit from a school book fair based on the number of books sold. What is the rate of change for the function represented in the table?
$1.50 per book
The graph represents the cost of a subscription to a newspaper. What is the constant of variation for the subscription cost based on the number of weeks?
$7.50
A line contains points M(1, 3) and N(5, 0). What is the slope of MN?
-3/4
Which steps should be used to graph the equation y - 4 = (x + 2)?
1. Plot the point (-2,4).2. From that point, count left 3 units and down 1 unit and plot a second point.3. Draw a line through the two points.
The graph shows the amount of money Miguel earns after working x hours. What is the rate of change of the amount earned with respect to hours worked for this function?
13 dollars per hour
The graph shows the relationship between the volume of a rectangular prism and the volume of a square pyramid with an identical base and height. What is the slope of the line?
3
The table represents a linear function. What is the slope of the function?
3
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.
Grace is comparing cell phone plans. A prepaid phone plan costs $0.20 per minute and has no monthly fee. A contracted phone plan costs $50 per month and $0.02 per minute. How will the graphs of the monthly costs of the two cell phone plans compare where x represents minutes purchased in a month?
The prepaid phone plan will have a steeper line and lower y-intercept.
What is the slope of the line represented by the equation f(t)=2t−6?
The slope is 2 and the y-intercept is −6.
