# Algebra Regents Review #6

**Name ______Date Due: **

**Algebra Regents Review #6**

Directions:*Choose the best answer. Answer ALL questions. Show ALL work in column 2. ***If there is no mathematical work to be shown, write an explanation or definition to support your answer! **This counts as a quiz grade!!!

x2 – 7x – 18 = 0?

- {9, –2} 2. {–9, 2}

2)When the expressions x2 – 9 and x2 – 5x + 6 are factored, a common factor is

- x + 3 2. x – 3

3)What are the roots of the equation x2 – 5x – 2 = 0?

1.

2.

3.

4.

4. An equation of the axis of symmetry of the graph of

y = –x2 + 8x – 7 is There are two roots of the equation –x2 + 8x – 7 = 0.

The smaller root is and the larger root is

5. What is the y-intercept of the parabola whose equation is

y = x2 + 7x + 5?

- −
- 5
- 3

6.During a 10-game season, a high school football team scored the following number of points:

14, 17, 21, 10, 35, 27, 13, 7, 45, 21

To the nearest thousandth, the standard deviation of these scores is ------

7.Factor completely: 3x3y2 – 147x.

- 3x(x2y2 – 49)
- 3x(xy + 7)(xy – 7)
- 3x3(y + 7)(y – 7)
- 3x(xy – 7)2

8.Javon’s homework is to determine the dimensions of his rectangular backyard. He knows that the length is 10 feet more than the width, and the total area is 144 square feet. Find the dimensions, in feet, of Javon’s backyard.

Width =

Length = / Only an algebraic solution will be accepted.

9.The cost (C) of selling x calculators in a store is modeled by the equation . The store profit (P) for these sales is modeled by the equation P = 500x. What is the minimum number of calculators that have to be sold for profit to be greater than cost?

10.The breaking strength, y, in tons, of steel cable with diameter d, in inches, is given in the table.

Write the exponential regression equation, expressing the regression coefficients to the nearest tenth.

11.The population of Henderson City was 3,381,000 in 2003, and is growing at an annual rate of 1.8%. If this growth rate continues, what will the approximate population of Henderson City be in the year 2009?

- 3,696,000
- 3,763,000
- 3,798,000
- 3,831,000

12.The relationship of a woman’s shoe size and length of a woman’s foot, in inches, is given in the accompanying table.

A)The linear correlation coefficient for this relationship is

- 1
- -1
- 0.5
- 0

13.

Put the quadratic equation y = –x2– 4x + 3 into vertex form by completing the square.

Vertex form: y =

14.Solve the following system of equations for x:

- 4x + y = 11
- x + y = 2

- –1
- 2
- 3
- 27

15.Find the sum of 4x2 – 3x + 6 and –7x2 + 3x + 6

- 7x2 + 6x + 12
- –3x2 + 6x + 12
- 3x2 – 12
- –3x2 + 12

16. If x is an integer, which is the solution set of –1 ≤ x < 2?

- {0, 1}
- {–1, 0, 1, 2}
- {0, 1, 2}
- {–1, 0, 1}

17.Solve for

*x in terms of a, b, and c: ax – 3b = c*

- a(c + 3b)
- a(c -3b)

18.Which sentence illustrates the associative property for multiplication?

- ab = ba
- a(bc) = (ab)c
- a· 1 = a
- a(b + c) = ab + ac

19.A movie theater charges $7 for an adult's ticket and $4 for a child's ticket. On a recent night, the sale of child's tickets was three times the sale of adult's tickets. If the total amount collected for ticket sales was not more than $2,000, what is the greatest number of adults who could have purchased tickets?

The greatest number of adults who could have purchased tickets is

20.From y2 + 5y – 7, subtract y2 – 3y – 4.

- –2y2 – 2y + 11
- 2y2 + 2y – 11
- 8y – 3
- –8y + 3

A linear regression equation of best fit between a student’s attendance and the degree of success in school is h = 0.5x + 68.5. The correlation coefficient, r, for these data would be

- 0 < r <1
- −1 < r <0
- r = 0
- r = −1

1