Answers LA-Algebra IUnit Test

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What is the product?(5r − 4)(r2 − 6r + 4)

5r3 − 34r2 + 44r − 16

5r3 − 4r2 + 14r − 16

5r3 − 6r − 16

5r3 + 10r − 16

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What is the product?

2 x squared minus 3

2 x squared + 6 x

2 x squared + 5 x minus 3

2 x squared + 6 x minus 3

Which is true about the completely simplified difference of the polynomials 6x6 − x3y4 − 5xy5 and 4x5y + 2x3y4 + 5xy5?

The difference has 3 terms and a degree of 6.

The difference has 4 terms and a degree of 6.

The difference has 3 terms and a degree of 7.

The difference has 4 terms and a degree of 7.

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

The graph shows a distribution of data.

The data has a standard deviation of 0.1.

The mean of the data is greater than 0.5.

A value of 0.7 is within 1 standard deviation of the mean.

A value of 0.9 is more than 2 standard deviations from the mean.

What is the factorization of 81a6 - 100?

(9a2 − 10)(9a3 + 10)

(9a2 − 10)(9a3 − 10)

(9a3 − 10)(9a3 + 10)

(9a3 − 10)(9a3 − 10)

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.

The model represents the factorization of 2x2+5x+3.

(2x+3)(x+1)

(2x−3)(x−1)

(3x+2)(x+1)

(3x−2)(x−1)

A polynomial is factored using algebra tiles.

(x − 1) and (x + 3)

(x + 1) and (x − 3)

(x − 2) and (x + 3)

(x + 2) and (x − 3)

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 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.

The model represents a perfect square monomial.What equation is represented by the model?

(2x)2 = 4x2

(2x2)2 = 4x4

(4x)2 = 8x2

(4x2)2 = 8x8

What are the x-intercepts of the graph of the function f(x) = x2 + 5x − 36?

(−4, 0) and (9, 0)

(4, 0) and (−9, 0)

(−3, 0) and (12, 0)

(3, 0) and (−12, 0)

Clara writes the equation (x – 13)(x + 8) = 196 to solve for the missing side length of a rectangle represented by the factor x + 8. What is the missing side length represented by x + 8 units of the rectangle?

The area of a square can be represented by the expression x10. Which monomial represents a side of the square?

x20

x100

Which data set has an outlier?

6, 13, 13, 15, 15, 18, 18, 22

4, 4, 4, 8, 9, 9, 11, 18

2, 3, 5, 7, 8, 8, 9, 10, 12, 17

3, 6, 7, 7, 8, 8, 9, 9, 9, 10

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 factor of 144 − 49x2?

12 - 7x2

72 – 7x2

12 – 7x

72 + 7x

Which translation maps the vertex of the graph of the function f(x) = x2 onto the vertex of the function g(x) = x2 – 10x +2?

right 5, down 23

left 5, down 23

right 5, up 27

left 5, up 27

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

4xy

4xy2

24xy

24xy2

Which is a factor of x2 + 5x − 24?

(x − 6)

(x + 6)

(x − 8)

(x + 8)

Two sandboxes with the same area are shown.The equation represents the area of Sandbox 2 in terms of its width.

2.72 meters

3.06 meters

9.16 meters

10.18 meters

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