Quiz about 2018 Algebra New Meridian Released items

Question 1

What is the graph of the equation $$y = x^2 - x - 6$$ in the xy-coordinate plane?

Accepted Answer

[Graph B]

Answer

[Graph A]

Answer

[Graph C]

Answer

[Graph D]

Question 2

The graph shows the function y = g(x), where g(x) represents a transformation of $$f(x) = x^2$$ . What is the equation for g(x)?

Accepted Answer

$$g(x) = -(x + 2)^2 + 1$$

Answer

$$g(x) = (x - 2)^2 - 1$$

Answer

$$g(x) = (x + 2)^2 - 1$$

Answer

$$g(x) = -(x - 2)^2 + 1$$

Question 3

Consider the graph of the function $$s(x) = x^2 + 6x + 9$$ . Part A The function $$r(x) = k \cdot s(x)$$ , where k is a constant. Which statements about the graphs of $$s(x)$$ and $$r(x)$$ are true?

Accepted Answer

F. When 0 < k < 1, the graph of r(x) is a vertical compression of the graph of s(x).

Accepted Answer

C. When k > 1, the graph of r(x) is a vertical stretch of the graph of s(x).

Accepted Answer

B. When k < 0, the vertex of the graph of r(x) is a maximum.

Answer

D. When k > 1, the graph of r(x) is a vertical compression of the graph of s(x).

Answer

A. When k < 0, the vertex of the graph of r(x) is a minimum.

Question 4

Consider the graph of the function s(x) = $$x^2 + 6x + 9$$ . The graph of s(x) is translated to produce the graph of t(x), where t(x) = $$x^2 + 6x + 13$$ . Which is a correct description of the translation?

Accepted Answer

A. vertical shift 4 units up

Answer

B. vertical shift 4 units down

Answer

C. horizontal shift 4 units to the left

Answer

D. horizontal shift 4 units to the right

Question 5

At the end of year 0, city M has a population of 23,500 that is growing at a rate of 5% per year. The population of city P at the end of year 0 is 23,000. The population of city P over a 4-year period is shown in the table. If the growth rate for each city does not change, which statement about the populations of city M and city P is true?

Accepted Answer

D. City P has the greater growth rate and the smaller population at the end of year 2.

Answer

A. City M has the greater growth rate and the larger population at the end of year 2.

Answer

B. City M has the greater growth rate and the smaller population at the end of year 2.

Answer

C. City P has the greater growth rate and the larger population at the end of year 2.

Question 6

Members of a high school sports team are selling boxes of popcorn and boxes of pretzels for a fundraiser. They earn $2 for every box of popcorn they sell and $5 for every box of pretzels. The members want to earn at least $500 from all sales.

A line exists that serves as the boundary for the points making up the solution set of the inequality representing the numbers of boxes of popcorn and boxes of pretzels sold. Consider the line graphed in the xy-coordinate plane. What would be the interpretation, in context, of its slope?

Accepted Answer

For every increase of 5 boxes of popcorn sold, 2 fewer boxes of pretzels need to be sold to earn $500.

Answer

For every increase of 2 boxes of popcorn sold, 5 more boxes of pretzels need to be sold to earn $500.

Answer

For every increase of 2 boxes of popcorn sold, 5 fewer boxes of pretzels need to be sold to earn $500.

Answer

For every increase of 5 boxes of popcorn sold, 2 more boxes of pretzels need to be sold to earn $500.

Question 7

Members of the team believe they can sell at least 40 boxes of pretzels. Which graph represents the solution in the xy-coordinate plane of the system of inequalities that represents the numbers of boxes of popcorn and boxes of pretzels that need to be sold with the constraint that at least 40 boxes of pretzels will be sold?

Accepted Answer

(Graph D)

Answer

(Graph A)

Answer

(Graph B)

Answer

(Graph C)

Question 8

For which combinations of boxes of popcorn and pretzels sold will the team meet the goal of earning at least $500? Select all that apply.

Accepted Answer

60 boxes of popcorn and 80 boxes of pretzels

Accepted Answer

75 boxes of popcorn and 70 boxes of pretzels

Accepted Answer

100 boxes of popcorn and 60 boxes of pretzels

Answer

30 boxes of popcorn and 80 boxes of pretzels

Answer

80 boxes of popcorn and 60 boxes of pretzels

Question 9

The length of a rectangle is 7 inches less than twice the width, w, of the rectangle. The quadratic function A(w) represents the area A, in square inches, of the rectangle for a given value of w. Which function gives the area as a function of the width?

Accepted Answer

$$A(w) = 2w^2 - 7w$$

Answer

$$A(w) = 7w - w^2$$

Answer

A(w) = $$2w^2 - 7$$

Answer

$$A(w) = 7w - 2w^2$$

Question 10

What is an equivalent form of the function f(x) = $$-x^2 - 8x - 12$$ that reveals the zeros of the function?

Accepted Answer

f(x) = -(x + 2)(x + 6)

Answer

$$f(x) = -(x + 4)^2 + 4$$

Answer

$$f(x) = -(x - 4)^2 + 4$$

Answer

f(x) = -(x - 2)(x - 6)

Question 11

A T-shirt company bought a new packaging and tracking system for $100,000. The formula $$V = 100,000(1 - 0.125)^y$$ models the value of the system V, in dollars, after depreciating for y years. In this formula, what is the meaning of the term $$(1 - 0.125)$$ ?

Accepted Answer

The value of the system will decrease by 12.5% each year.

Answer

The value of the system will be $0 in 12.5 years.

Answer

The value of the system will decrease by $12.50 each year.

Answer

The value of the system will continue to decrease for 125 years.

Question 12

Which graph showing the relation between x and y represents y as a function of x? Select all that apply.

Accepted Answer

E. [Graph E]

Accepted Answer

A. [Graph A]

Accepted Answer

C. [Graph C]

Answer

B. [Graph B]

Answer

D. [Graph D]

Question 13

Which statement(s) can be interpreted from the equation for an automobile cost, $$C(t) = 28,000(0.73)^t$$ , where $$C(t)$$ represents the cost and $$t$$ represents the time in years? Select all correct statements.

Accepted Answer

$28,000 represents the initial cost of an automobile that depreciates 27% per year over the course of t years.

Accepted Answer

The equation is an exponential decay equation.

Answer

$28,000 represents the initial cost of an automobile that appreciates 27% per year over the course of t years.

Answer

The equation is neither exponential decay nor exponential growth.

Answer

The equation is an exponential growth equation.

Question 14

Which expression is equivalent to $$((1 - r)^2 + r)((1 - r)^2 - r)$$ ?

Accepted Answer

$$(1 - r)^4 - r^2$$

Answer

$$2(1 - r)^2 + 2r$$

Answer

$$(1 - r)^2(1 - r)(1 + r)$$

Answer

$$(1 - r)^4 + 2r(1 - r)^2 + r^2$$

Question 15

Which expression is equivalent to $$((1 - x)^2 - 2x^2)((1 - x)^2 + 2x^2) + 4x^4$$ ?

Accepted Answer

$$(1 - x)^4$$

Answer

$$2(1 - x)^2 + 4x^4$$

Answer

$$(1 - 3x^2)(1 + x^2) + 4x^4$$

Answer

$$(1 - x)^4 + 4x^2(1 - x)^2 + 8x^4$$

Question 16

The scatter plot shows the price, in cents, of a postage stamp used to mail a letter in the United States for the years from 1958 to 2014. Also shown is the line of fit to model the data.

The equation of the line of fit is y=-0.71 + 0.86x, where y represents the predicted price, in cents, of a stamp and x represents the number of years since 1958.

Accepted Answer

The model estimates an increase, on average of, 0.86 cents per year in the price of a stamp

Answer

The model estimates an increase, on average of, 0.71 cents per year in the price of a stamp

Answer

The model estimates a decrease, on average of, 0.71 cents per year in the price of a stamp

Answer

The model estimates an decrease, on average of, 0.86 cents per year in the price of a stamp

Question 17

The scatter plot shows the price, in cents, of a postage stamp used to mail a letter in the United States for the years from 1958 to 2014. Also shown is the line of fit to model the data.

The equation of the line of fit is y=-0.71 + 0.86x, where y represents the predicted price, in cents, of a stamp and x represents the number of years since 1958.

Accepted Answer

The model underpredicts the actual price of a stamp for the time period from 1958 to 1963

Answer

The model overpredicts the actual price of a stamp for the time period from 1958 to 1963

Answer

The model overpredicts the actual price of a stamp for 1958 and underpredicts the actual price for 1963

Answer

The model underpredicts the actual price of a stamp for 1958 and overpredicts the actual price for 1963

2018 Algebra New Meridian Released items

36 questions

Subtract (4x^2 - x + 6) from (3x^2 + 5x - 8).

The two graphs and two descriptions each represent a sequence. Choose the equation that represents each sequence for n = 1, 2, 3... Drag and drop the letter of the graph or description (A, B, C, D) to the correct box.

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