Algebra I ECA – Quarter Two Review
Show your work for all problems. “MC” indicates a multiple choice item.
1) (MC)Which relation is a function?
a. { (–1, 3), (–2, 6), (0, 0), (–2, –2) } b. { (–2, –2), (0, 0), (1, 1), (2, 2) }
c. { (4, 0), (4, 1), (4, 2), (4, 3) } d. { (7, 4), (8, 8), (10, 8), (10, 10) }
2) (MC) Given the function y = 4x and the domain of {-3, -2, 0, 1, 2}, determine the range.
a. { -12, -8, 0, 4, 8 } b. {-12, -2, -3, 2, 0}
c. { -3, -2, 0, 1, 2 } d. { -12, -2, -8, 0 , 4 }
3) (MC)What is the domain of the function { (1, 5), (2, 4), (3, 3), (4, 2) }?
a. { 1, 5, 4, 2 } b. { 2, 3, 1, 6 } c. { 5, 4, 3, 2 } d. { 1, 2, 3, 4 }
4) Is the following graph a function? Explain your answer.
Graph. (Note: Assume that the scale used for each axis is one unit.)
5) y = - 2x + 16) 2x – 5y = 107) y < - 5
8) 9) 10)
11) A rental company charges a flat fee of $30 and an additional $0.25 per mile to rent a moving van. Write an equation to model the total charge y (in dollars), in terms of x, the number of miles driven.
12)Find the slope, y-intercept, and x-intercept of the line that is represented by the equation:
3x - 4y = 24.
13) Find the slope, y-intercept, and x-intercept of the line that passes through the points:
( 3, 2 ) and ( 6, - 4 ).
14) a) Find the slope, y-intercept, and x-intercept of the line represented by the graph.
15) Write the equation of the line, in slope intercept form, that has a slope of and passes through the point ( 16, - 5 ).
16) (MC)Write an equation of the line represented by the table. x y
- 6 2
47
89
a. b. y = 2x – 7 c. y = x + 5 d. y = 2 x – 10
17) Write the equation of the line, in slope intercept form, that is parallel to the graph of
y = 5x - 7 and passes through the point ( 7, - 3 ).
18) (MC)Which equation represents the line that is perpendicular to the graph of and passes through the point ( - 8, - 3 ) ?
a. y = 2x + 13 b. y = - 2x - 19 c. y = x + 4 d. y = 2x + 5
19) (MC)Which graph represents the correct solution for the system of equations: x + y = - 1
2y – x = 10
a.( 4, 3 ) b. ( 4, - 3 ) c.( - 3, 4 ) d. ( - 4, 3 )
20) (MC)Which system of inequalities represents the given graph?
Use the graph and the table below for problems 21 – 25.
Each dayduring basketball practice, Ted keeps track of how many free throws in a row he is able to make. The graph above represents a plot of the points from the following table and a line of best fit for the
data in the table.
Ted's Free Throws
21. What is the rate of change (slope) of the line of best fit?
22. If x represents the day and y represents the number of consecutive free throws, write the equation of the line of best fit in slope-intercept form.
23. Predict the number of consecutive free throws that Ted will make on the tenth day.
24.Predict the number of consecutive free throws that Ted will make on the fifteenth day. (Round to the nearest whole number.)
25. (MC)Which statement best describes what the slope of the line of best fit means?
a. The number of consecutive free throws is about the same each day.
b. Every third day, the number of consecutive free throws will increase by one free throw.
c. Each day, the number of consecutive free throws will increase by three free throws.
d. Every third day, the number of consecutive free throws will decrease by one free throw.