Unit 2A Practice Test (You must show all work for each problem to receive credit)
Multiple Choice
Identify the choice that best completes the statement or answers the question.
1.Which property of equality justifies step c?
A / Addition Property of EqualityB / Multiplication Property of Equality
C / Division Property of Equality
D / Subtraction Property of Equality
2.Sove the equation , for U
A / / B / / C / / D /3.Solve the equation.
A / –2 / B / / C / –15 / D / –44.Specialty t-shirts are being sold online for $35 plus a one-time handling fee of $2.75. The total cost is a function of the number of t-shirts bought. What function rule models the cost of the t-shirts? Evaluate the function for 5 t-shirts.
A / ; $177.75 / C / ; $48.75B / ; $177.75 / D / ; $48.75
5.Which of the follwing relations represents a function?
A /B /
C /
D /
6.Find (f + g)(x) for f(x) = and g(x) = .
A / (f + g)(x) = / C / (f + g)(x) =B / (f + g)(x) = 16 / D / (f + g)(x) = + 16
7.Use the graph of the function to find .
A / –2 / C / –0.5B / –5 / D / –6
8.Give the domain and range of the relation.
A / D: –3 x 2; R: 0 y 4 / C / D: –3 x 2; R: –2 y 4B / D: –2 x 4; R: –3 y 2 / D / D: –3 x 2; R: –3 y 6
9.Which equation is parallel to y = x + 10 and passes (2, 14)?
A / y = x + 4 / C / y = xB / y = x – 4 / D / y = x + 4
Short Answer
10.What is the equation of the line represented in the graph in slope intercept form?
11.Solve for the indicated variable.
Solve for w.
12.Write the equation of a line that is perpendicular to y = x and passes (4, 2)?
13.Solve for p.
14.Solve the inequality. – x – 4 <
15.A jet ski company A charges a flat fee of $27.00 plus $2.00 per hour to rent a jet ski. Another company, company B, charges a fee of $16.50 plus $3.75 per hour to rent the same jet ski. Write an equation and find the number of hours for which the company A charges a rate more than company B. (think about how you should round)
______
16.Graph the equation
f(x) = –3x – 1
Identify the Domain ______
Identify the Range ______
Identify the slope ______
Identify the y intercept ______the x intercept ______
Find f(1) ______
17.Write the recursive and explicit formula for the arithmetic sequence: -5, -11, -17...
18.The recursive formula for a sequence is , . Write the explicit rule for the sequence and find the 30th term.
19.In the function , what is the value of f(–2)?
20.Write an equation and solve. Three times a number increased by seven is the same as twice the number decreased by 2. Find the number.
21.If and the domain of f is , find the range of f(x).
22.What is the rate of change (slope) between the points (5, 5) and (2, 1)?
23.A yogurt shop charges $2.00 per cup and $.30 per ounce of yogurt/toppings. A. Identify the independent and dependent variables. B. Write a function rule to determine the cost of the yogurt. C. Find f(5) and explain what it means.
A. ______
B. ______
C. ______
24.Write the explicit and recursive rule that represents the table:
x y
0 5
1 7
2 9
3 11
Unit 2A Practice Test (You must show all work for each problem to receive credit)
Answer Section
MULTIPLE CHOICE
1.A
2.C
3.D
4.A
5.A
6.D
7.B
8.C
9.D
SHORT ANSWER
10.y = x1
11.
12.y = x
13.p = –27
14.x
15.6
16.
17.recursive: f(n) = f(n -1) - 6 f(1) = -5
explicit f(n) = -6n + 1
18.f(n) = 10n - 13
f(30) = 287
19.–34
20.3x + 7 = 2x - 2
x = -9
21.{2, 12, 18}
22.
23.Ind. ounces of yogurt
Depend. cost
f(x) = 2.00 + .30x
2 + .3(5)
3.50....f(5) = 3.50....5 oz of yogurt cost $3.50
24.Explicit
f(n) = 2n + 5
Recursive
F(n) = f(n - 1) + 2 given f(1) = 7