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Name________________________________________Date______________________Period_________
Fall 2015 Final Exam Review
𝑥
1) If (-25, y) is a solution to the equation + 5𝑦 = 100, what is the value of y?
5
A) 125
B) 105
C) 95
D)
21
2) The solution for the equation 2x + 3y = 36 is (x, 2). What is the value of x?
A) 30
B)
15
C) 11
D)
6
3
3) Use the graph of y = − 𝑥 + 5 to solve for x when y = 8.
4
4) A line contains the points (7, 11) and (-2, -7). Write an equation in standard form passing through the given points.
5) Which value of x is a solution for the inequality 2x + (5 – x) > x + 9?
A) 0
B) 1
C) 2
D) no solution
6) Which equation below describes the graph.
A) 2x – y = 4
B) 2x + y = 4
C) x - 2y = -4
D) x + y = 4
7) Solve and Check: 8y – (2y – 3) = 9
8) Solve and Check: 3(5x – 2) – 6x = 3(3x + 2)
9) Given the graph below, what is a reasonable Regents Score at the 4th hour of study? _________
Create a table with at least 5 ordered pairs from the graph above. Use your calculator to determine the correlation
coefficient. Is the calculated coefficient reasonable? Why or why not?
10) What type of correlation is shown in the given graph? _____________________________
Is it reasonable to state a correlation coefficient for the graph? Why or why not?
Give an example that can be used to represent the scatterplot.
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11)
12) Find the domain of f(x) = 3x - 2 when the range is {-4, -1, 0,3}
Domain:_______________________
13) Which of the following is not a reasonable solution to the following inequality?
F) -71
G)
-7
H) -14
-5(x + 1) ≥ 30
J)
-2
14) Brandon has a budget of $58 to spend on clothes. The shirts he wants to buy are on sale for $9 each, and the pair of
pants he wants costs $21. All prices include tax. Which inequality could be used to determine s, the maximum number
of shirts Brandon can buy if he also buys the pair of pants?
A) 21s + 9 < 58
B) 9s - 21 ≤ 58
C) 30s < 38
D) 9s + 21 ≤ 58
15) A group of 3 friends went to the movies. After paying for their tickets, they had a total of $10 to spend on
refreshments. Sodas cost $1.50 each, and box of popcorn cost $1.75. Which inequality can be used to find s, the
number of sodas and p, the boxes of popcorn they can buy?
A) 1.50s > 10 – 1.75p
B) 1.50s ≤ 10 - 1.75p
C) (1.75 + 1.50)s < 10
D) 1.75s ≤ 10 + 1.50p
16) The graph below shows the relationship between the distance in miles a delivery truck traveled and the number of
hours each delivery took.
Which best describes the relationship shown on the graph?
17) Write an equation in slope-intercept form.
F Domain
Range
G Domain
Range
{5, 6, 7, 8, 9, 10, 11, 12}
{200, 300, 350, 400, 500, 600, 700, 800}
{5, 6, 7, 8, 9, 9, 10, 11, 11, 12, 12}
{200, 300, 350, 400, 500, 500, 600, 700, 700, 700, 800}
H Domain
Range
J Domain
Range
{200, 300, 350, 400, 500, 500, 600, 700, 700, 700, 800}
{5, 6, 7, 8, 9, 9, 10, 11, 11, 12, 12}
{200, 300, 350, 400, 500, 600, 700, 800}
{5, 6, 7, 8, 9, 10, 11, 12}
18) Write an equation in standard form given the graph.
19) Use the graph below.
a) Equation in slope-intercept form:____________________
b) Write an equation in standard form for the original line:_______________
c) Write an equation in slope-intercept form parallel to the given line passing through (3,2)
_______________________
d) Write an equation in slope-intercept form passing through (0, 4) and perpendicular
to the original line:___________________________________
20) Write an equation in standard form perpendicular to the given line and passing through the point (-4, -1)
Equation:________________________________
21) When solving equations what types of solutions are possible?___________________________________________
22) The zero of a linear function is also known as the _____________________________________________________
23) What is the value of x in the equation −2𝑥 =
3
4
𝑥 − 5?
24) List the 3 forms of a linear equation:____________________, ______________________, ____________________
25) Given y = 8 write an equation perpendicular to the given line passing through (-4, 3). _________________________
26) Use the graph to determine the zero.
Zero:_____________________________
27) Based on the information in the graph, what would you predict the cost to be for 12 flags?
a) What type of relationship is represented by the scatterplot?_____________
b) Create a table for the data.
c) Use your calculator to calculate the correlation coefficient._______________
28) Translate the following equation into slope-intercept form: 2x – 5 = 3y + 7
Equation:________________
Slope:__________________
Y-Intercept:_______________
Zero:___________________
29) Given 2L + 2W = P solve for L.
30) Given I = prt solve for t.
31) Graph y > 2x – 4
33) Write an inequality to represent the graph.
32) Graph 2x – 3y > -6
Inequality:_______________________
Determine whether each situation illustrates association or causation. Explain your reasoning, including other factors
that might be involved.
34) A survey showed that sleeping with the light on was positively associated to nearsightedness.
35) A controlled experiment showed a positive association between the number of cigarettes smoked and the
probability of developing lung cancer.