Unit 5 Test PLEASE DO NOT WRITE ON THIS

Thompson (all standards start with MM1A) Spring, 2011

1.  (3d) Solve the proportion.

2x + 1 = 2x

x + 1 x + 2

  1. x = 1
  2. x = -1
  3. x = 2/3
  4. x = -2/3

2.  (2c) Multiply.

(2x3 + 3x2 + 10x)(8x4)

  1. (15x6)(8x4)
  2. 16x7 + 3x2 + 10x
  3. 2x3 + 3x2 + 80x5
  4. 16x7 + 24x6 + 80x5

3.  (2c) Perform the indicated operation.

(7x4 + 11x3 – x2 – 8x + 6) – (-12x4 + 9x2 – 15)

  1. -5x4 + 11x3 + 8x2 – 8x – 9
  2. 19x4 + 11x3 – 10x2 – 8x + 21
  3. 5x4 + 2x3 + 14x2 – 8x + 6
  4. -19x4 – 2x3 – 8x2 – x + 9

4.  (2c) Simplify.

-3m + 9m

2

  1. 2m
  2. 3m
  3. 4m
  4. 6m

5.  (3a) Solve the equation.

x2 – 6x + 9 = 0

  1. x = 3
  2. x = 6
  3. x = 3 or x = -3
  4. x = 9 or x = -9

6.  (1i) Use the graph below to find one of the solutions to the quadratic equation

x2 – 7x + 10 = 0.

a.  -7

b.  -3

c.  2

d.  10

7.  (2e) Add and simplify.

a + b

b a

  1. 1
  2. a + b

ab

  1. a2 + b2

ab

  1. 2a2 + 2b2

ab

8.  (3d) Scott has a budget of $648 to buy copies of a book. The dealer is willing to give Scott 10 books free of charge. The number of copies (c(x)) that Scott can get is given by

c(x) = 648 + 10,

x

where x is the price of each copy.

How many copies can Scott get if the cost of each copy is $24?

  1. 17
  2. 27
  3. 37
  4. 47

9.  (3b) What is the value of x, when Ö(2x + 1) = 13?

  1. x = 6
  2. x = 6.5
  3. x = 83.5
  4. x = 84

10.  (1i) Which graph represents the solution for the equation 4x + 2 = x + 3?

  1. A
  2. B
  3. C
  4. D

11.  (1c) The graph of the equation y = x2 – 3 is shown to the right. Which equation will shift the graph up 6 units?

  1. y = x2 + 3
  2. y = x2 – 6
  3. y = x2 + 6
  4. y = (x + 6)2

12.  (2f) Factor 2pq – 5qr + 10r – 4p.

a.  (q – 10)(p – 5r)

b.  (q – 2)(2p – 5r)

c.  (2q – 2)(2p – 5r)

d.  (q – 2)(10p – 4r)

13.  (3b) Solve the equation.

25 = Ö(125x)

  1. x = 5
  2. x = 11
  3. x = 25
  4. x = 100

14.  (1h) An odd function must always have what characteristic?

  1. rotational symmetry about the origin
  2. be a polynomial with odd exponents on x
  3. a line of symmetry on the x-axis
  4. a line of symmetry on the y-axis

15.  (3d) Solve the rational equation.

3 + 1 = 8

x – 7 x2 – 9x + 14

  1. x = 0
  2. x = -6
  3. x = 0 and x = 6
  4. x = 0 and x = -6

16.  (3a) What is the value of x, when x2 + 5 = 21?

  1. 4 or -4
  2. 5.5 or -5.5
  3. 8 or -8
  4. 15.5 or -15.5

17.  (2e) If the width of a rectangle is x + 1 and its length is 3x , then its area is

x x2 – 1

  1. 3x
  2. 3

x – 1

  1. 3x2

x2 + x

  1. 3x2

x3 + x

18.  (2f) Select one of the factors of the quadratic expression:

x2 + 7x – 18.

  1. (x + 2)
  2. (x + 6)
  3. (x – 2)
  4. (x – 9)

19.  (2b) Simplify the expression.

Ö18 + Ö8 – Ö24

  1. 0
  2. 3Ö10
  3. 5Ö2 – 2Ö6
  4. 3Ö2 + 2Ö2 – 2Ö6

20.  (3c) James creates the table shown to represent the function f(x) = x2 – 4x + 3. Determine the zero(s) of the function.

  1. x = 3
  2. x = 1 and x = 3
  3. x = 3 and x = 0
  4. x = -1 and x = 5

21.  (2f) Factor 3x – 18 + 3x2 completely.

  1. (x – 3)(x + 2)
  2. (x + 3)(x – 2)
  3. 3(x – 3)(x + 2)
  4. 3(x + 3)(x – 2)

22.  (3c) Identify the roots of the quadratic function graphed on the right.

  1. x = 0 and x = 4
  2. x = 0 and x = -4
  3. y = 0 and y = 4
  4. y = 0 and y = -4

23.  (1h) Identify the graph of the odd function.

  1. A
  2. B
  3. C
  4. D

24.  (1i) o How HSolve for x using the graph to the right.

x2 – 4x + 2 = -2x + 5

  1. x :{-1, 7}
  2. x: {-3, 1}
  3. x: {1, -7}
  4. x: {3, -1}

25.  (2a) Which expression is equivalent to Öa3b5c2?

  1. ab2cÖab
  2. a2b4c2Öab
  3. abÖab2c
  4. abÖa2b4c2

26.  (1d) Using the graph to the right, what is the value of y when x = 0? (HINT: This question is asking for one of the intercepts!)

  1. 2
  2. -2
  3. 4
  4. -4

27.  (3b) Solve the equation.

Öx – 2 – 5 = x – 9

  1. x = 3
  2. x = 6
  3. x = -8
  4. x = 3, 6

28.  (2e) Divide and simplify. (HINT: What operation is a fraction?)

1

x2 – 9

3

x + 3

  1. 1

3x – 9

  1. x – 3

3

  1. 1

3x + 9

  1. x + 3

3

29.  (2b) Find the product.

Ö8 * Ö98

  1. 14Ö2
  2. Ö784
  3. (2Ö2)(7Ö2)
  4. 28

30.  (1h) Which function has the y-axis as a line of symmetry?

  1. f(x) = x – 5
  2. f(x) = 2x2 + 3
  3. f(x) = x3 + 4x
  4. f(x) = x2 – 8x + 15

31.  (1d) How many zeros does the graph of f(x) = x2 have?

  1. 0
  2. 1
  3. 2
  4. 3

32.  (1c) The graph of the function y = x2 is shown to the right. How will the graph change if the equation is changed to y = ¼x2?

  1. The parabola will become wider.
  2. The parabola will become narrower.
  3. The parabola will move up ¼ unit.
  4. The parabola will move down ¼ unit.

33.  (1d) The range of this function to the right is

  1. [1, 5]
  2. [3, ∞]
  3. [-4, ∞)
  4. (-∞, ∞)

34.  (1c) Heather is going to graph f(x) = -3x4 + 3. How is the parent graph transformed?

  1. The parent graph is reflected over the x-axis, has a vertical compression (shrink) by a factor of 3 and is shifted up 3 units.
  2. The parent graph is reflected over the x-axis, has a vertical stretch by a factor of 3 and is shifted up 3 units.
  3. The parent graph is reflected over the y-axis, has a vertical stretch by a factor of 3 and is shifted up 3 units.
  4. The parent graph is reflected over the y-axis, has a vertical compression (shrink) by a factor of 3 and is shifted up 3 units.

35.  (3a) Where does the graph of f(x) = x2 – 6x – 7 cross the x-axis?

  1. (-1, 0) and (7, 0)
  2. (0, -1) and (0, 7)
  3. (1, 0) and (-7, 0)
  4. (0, 1) and (0, -7)

36.  (3c) What are the x-intercepts of the graph shown below?

  1. x = -5
  2. x = 1 and 5
  3. x = 0 and 4
  4. x = -1 and 5