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Biblioteka

2019 (June): NY Regent - Algebra 1

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Posljednje ažuriranje 4 months ago
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From the New York State Education Department. The University of the State of New York Regents High School Examination Algebra 1 June 2019. Internet. Available from https://www.nysedregents.org/algebraone/619/algone62019-exam.pdf; accessed 3, May, 2023.

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Pitanje 1
1.

The expression w^4\ -36 is equivalent to

Pitanje 2
2.

If f(x)=4x+5, what is the value of f(-3)?

Pitanje 3
3.

Which relation is not a function?

Pitanje 4
4.

Given: f(x) = (x - 2)^2\ + 4

g(x) = (x - 5)^2\ + 4

When compared to the graph of f(x), the graph of g(x) is

Pitanje 5
5.

Students were asked to write 6x^5\ + 8x - 3x^3 + 7x^7 in standard form.

Shown below are four student responses.

  • Anne: 7x^7\ + 6x^5 - 3x^3 + 8x

  • Bob: - 3x^3\ + 6x^5 + 7x^7 + 8x

  • Carrie: 8x\ + 7x^7 + 6x^5 - 3x^3

  • Dylan: 8x - 3x^3\ + 6x^5 + 7x^7

Which student is correct?

Pitanje 6
6.

The function f is shown in the table below.

Which type of function best models the given data?

Pitanje 7
7.

Which expression results in a rational number?

Pitanje 8
8.

A polynomial function is graphed below.

Which function could represent this graph?

Pitanje 9
9.

When solving p^2\ +5=8p-7, Kate wrote p^2\ +12 = 8p. The property she used is

Pitanje 10
10.

David wanted to go on an amusement park ride. A sign posted at the entrance read, “You must be greater than 42 inches tall and no more than 57 inches tall for this ride.” Which inequality would model the height, x, required for this amusement park ride?

Pitanje 11
11.

Which situation can be modeled by a linear function?

Pitanje 12
12.

Jenna took a survey of her senior class to see whether they preferred pizza or burgers. The results are summarized in the table below.

Of the people who preferred burgers, approximately what percentage were female?

Pitanje 13
13.

When 3a + 7b > 2a - 8b is solved for a, the result is

Pitanje 14
14.

Three functions are shown below.

Which statement is true?

Pitanje 15
15.

Nicci’s sister is 7 years less than twice Nicci’s age, a. The sum of Nicci’s age and her sister’s age is 41. Which equation represents this relationship?

Pitanje 16
16.

The population of a small town over four years is recorded in the chart below, where 2013 is represented by x = 0. [Population is rounded to the nearest person]

The population, P(x), for these years can be modeled by the function P(x) = ab^x , where b is rounded to the nearest thousandth. Which statements about this function are true?

I. a = 3810

II. a = 4224

III. b = 0.035

IV. b = 1.035

Pitanje 17
17.

When written in factored form, 4w^2\ - 11w - 3 is equivalent to

Pitanje 18
18.

Which ordered pair does not represent a point on the graph of y = 3x^2\ - x + 7?

Pitanje 19
19.

Given the following three sequences:

I. 2, 4, 6, 8, 10...

II. 2, 4, 8, 16, 32...

III. a, a + 2, a + 4, a + 6, a + 8...

Which ones are arithmetic sequences?

Pitanje 20
20.

A grocery store sells packages of beef. The function C(w) represents the cost, in dollars, of a package of beef weighing w pounds. The most appropriate domain for this function would be

Pitanje 21
21.

The roots of x^2\ - 5x - 4 = 0 are

Pitanje 22
22.

The following table shows the heights, in inches, of the players on the opening-night roster of the 2015-2016 New York Knicks.

The population standard deviation of these data is approximately

Pitanje 23
23.

A population of bacteria can be modeled by the function f(t) = 1000(0.98)^t , where t represents the time since the population started decaying, and f(t) represents the population of the remaining bacteria at time t. What is the rate of decay for this population?

Pitanje 24
24.

Bamboo plants can grow 91 centimeters per day. What is the approximate growth of the plant, in inches per hour?

Pitanje 25
25.

Solve algebraically for x: -\frac{2}{3}(x+12)+\frac{2}{3}x=-\frac{5}{4}x+2

Pitanje 26
26.

If C = G - 3F, find the trinomial that represents C when F = 2x^2\ + 6x - 5 and G = 3x^{2} + 4

Pitanje 27
27.

Graph the following piecewise function on the set of axes below.

Pitanje 28
28.

Solve 5x^2\ = 180 algebraically.

Pitanje 29
29.

A blizzard occurred on the East Coast during January, 2016. Snowfall totals from the storm were recorded for Washington, D.C. and are shown in the table below.

Which interval, 1 a.m. to 12 noon or 6 a.m. to 3 p.m., has the greatest rate of snowfall, in inches per hour? Justify your answer.

Pitanje 30
30.

The formula for the volume of a cone is V=\frac{1}{3}\pi r^2h . Solve the equation for h in terms of V, r, and \pi .

Pitanje 31
31.

Given the recursive formula:

a_1 = 3

a_n = 2(a_{n-1}+ 1)

State the values of a_2, a_3, and a_4 for the given recursive formula.

Pitanje 32
32.

Determine and state the vertex of f(x) = x^2\ - 2x - 8 using the method of completing the square.

Pitanje 33
33.
Pitanje 34
34.

Graph y = f(x) and y = g(x) on the set of axes below.

f(x) = 2x^2\ - 8x + 3

g(x) = -2x+ 3

Determine and state all values of x for which f(x) = g(x).

Pitanje 35
35.

The table below shows the number of hours ten students spent studying for a test and their scores.

a. Write the linear regression equation for this data set. Round all values to the nearest hundredth.

b. State the correlation coefficient of this line, to the nearest hundredth.

c. Explain what the correlation coefficient suggests in the context of the problem.

Pitanje 36
36.

A system of inequalities is graphed on the set of axes below.

State the system of inequalities represented by the graph.

State what region A represents.

State what the entire gray region represents.

Pitanje 37
37.

When visiting friends in a state that has no sales tax, two families went to a fast-food restaurant for lunch. The Browns bought 4 cheeseburgers and 3 medium fries for $16.53. The Greens bought 5 cheeseburgers and 4 medium fries for $21.11.

Using c for the cost of a cheeseburger and f for the cost of medium fries, write a system of equations that models this situation.

The Greens said that since their bill was $21.11, each cheeseburger must cost $2.49 and each order of medium fries must cost $2.87 each. Are they correct? Justify your answer.

Using your equations, algebraically determine both the cost of one cheeseburger and the cost of one order of medium fries.