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Eighty members of a bike club were asked whether they like touring bikes and whether they like mountain bikes. A total of 70 like touring bikes, 47 like mountain bikes, and 5 do not like either. What are the correct values of a, b, c, d, and e?

a = 42, b = 28, c = 33, d = 5, e = 10

a = 42, b = 5, c = 28, d = 33, e = 10

a = 5, b = 42, c = 28, d = 10, e = 33

a = 5, b = 10, c = 28, d = 33, e = 42

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What is the greatest common factor of 8m, 36m3, and 12?

Which is one of the transformations applied to the graph of f(x) = x2 to change it into the graph of g(x) = 9x2 – 36x?

The graph of f(x) = x2 is widened.

The graph of f(x) = x2 is shifted right 4 units.

The graph of f(x) = x2 is shifted down 36 units.

The graph of f(x) = x2 is reflected over the x-axis.

Which is the graph of the function f(x) = x2 + 2x + 3?

On a coordinate plane, a parabola opens up. It goes through (negative 2, 3), has a vertex at (negative 1, 2), and goes through (0, 3).

On a coordinate plane, a parabola opens up. It goes through (0, 3), has a vertex at (1, 2), and goes through (2, 3).

On a coordinate plane, a parabola opens up. It goes through (negative 4, 3), has a vertex at (negative 2, negative 1), and goes through (0, 3).

On a coordinate plane, a parabola opens up. It goes through (0, 3), has a vertex at (2, negative 1), and goes through (4, 3).

The graph represents a distribution of data.

Consider the plot created from the residuals of a line of best fit for a set of data.

Yes, the points have no pattern.

No, the points are evenly distributed about the x-axis.

No, the points are in a linear pattern.

Yes, the points are in a curved pattern.

Which function has a vertex on the y-axis?

f(x) = (x – 2)2

f(x) = x(x + 2)

f(x) = (x – 2)(x + 2)

f(x) = (x + 1)(x – 2)

Which is the graph of the sequence defined by the function f(x + 1) = f(x) when the first term in the sequence is 375?

Option

What is the y-value of the vertex of the function f(x)=−(x−3)(x+11)?

−8

−4

Find the residual values, and use the graphing calculator tool to make a residual plot.

Yes, the points have no pattern.

No, the points are evenly distributed about the x-axis.

No, the points are in a linear pattern.

Yes, the points are in a curved pattern.

Which is a solution to the equation?(x − 3)(x − 5) = 35

x = −8

x = −5

x = 2

x = 10

The image shows a geometric representation of the function f(x) = x2 + 2x + 3 written in standard form.

f(x) = (x + 2)2 + 3

f(x) = (x2 + 2x)2 + 3

f(x) = (x + 1)2 + 2

f(x) = (x + 3)2 + 2x

Which is the graph of ?

Option

The table shows the approximate height of an object x seconds after the object was dropped. The function h(x) = –16x2 + 100 models the data in the table.

–2.75

0.25

1.75

2.25

A group of 120 people were asked whether their income level is above or below $25,000 and whether they subscribe to a movie channel. The data from the survey is shown in the Venn diagram. Use the Venn diagram to find the missing values in the frequency table.

a = 18, b = 34, c = 65

a = 34, b = 18, c = 68

a = 34, b = 68, c = 47

a = 47, b = 18, c = 68

The graph of an exponential function and a linear function are shown below. Exponential Linear Which statement is true about the functions?

The exponential function is generally growing slower than the linear function.

The exponential function is generally growing faster than the linear function.

The linear function is generally growing faster than the exponential function.

The exponential function and the linear function are generally growing at the same rate.

The equation for the line of best fit is f(x) ≈ 1.8x − 5.4 for the set of values in the table.

Which is equivalent to , and what type of special product is it?

; a perfect square trinomial

; the difference of squares

; a perfect square trinomial

; the difference of squares

Which statements are true about the graph of the function h(x) = –5x2 + 60x – 200? Select three options.The axis of symmetry is the line x = –6.The graph of h(x) will not intersect the graph of the parent function, f(x) = x2.The vertex of the graph is at (6, –20).The parabola has a maximum.The value of k, when the equation is written in vertex form, is –200.

The axis of symmetry is the line x = –6.

The graph of h(x) will not intersect the graph of the parent function, f(x) = x2.

The vertex of the graph is at (6, –20).

The parabola has a maximum.

The value of k, when the equation is written in vertex form, is –200.

Which function represents exponential decay?

f(x) =

f(x) = 4

What is the greatest common factor of 4xy2 and 20x2y4?

4xy

4xy2

24xy

24xy2

Arpitha factors out the greatest common factor, 9n, from the terms of the polynomial shown.162m3n4 + 45n= 9n(_______ + 5)

16m3n3

16m3n4

18m3n3

18m3n4

Garth is packing boxes with books. The list shows how many books are in each of 10 boxes.6, 14, 6, 18, 9, 9, 12, 10, 11, 15 Which statement is true about the number of books packed to a box?

The median number of books to a box is 8.

The median number of books to a box is 9.

The mean number of books to a box is 11.

The mean number of books to a box is 12.

What is the polynomial 3y2 + (y + 7)2 – 15 after it has been fully simplified and written in standard form?

4y2 + 34

3y2 + y + 34

4y2 + 14y + 34

4y4 + 34

Teresa is factoring this polynomial by grouping. Which common factors should be used in the next step of factoring?10x3+3x2−20x−6(10x3+3x2)+(−20x−6)

x2 and −2x

2x2 and −2x

x2 and −2

2x2 and −2

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