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Review for 3rd Quarter Long Test (Math 10)

Total questions: 15

Worksheet time: 1hrs 28mins

Name
Class
Date
1.
Which of the following is a COMPLETE  list of all possible Rational Zeros?
f(x) = x3 + 2x2 - 6x + 8
a)
±1, ±8
b)
±1, ±2, ±4, ±8
c)
±1, ±2, ±4
d)
1, 2, 4, 8
2.
Which of the following is a COMPLETE  list of all possible Rational Zeros?
f(x) = 3x3 + 2x2 - 6x + 7
a)
±1, ±7, ±1/3, ±7/3
b)
±1, 7
c)
±1, ±3, ±7, ±7/3
d)
±1, ±3, ±7, ±1/3, ±7/3
3.

Below are four possible zeros for this polynomial.

Figure out which one "works"

f(x) = x3 + 2x2 - 11x - 12

a)

-3

b)

-4

c)

1

d)

6

4.
Solve by using Rational Root Theorem: 
2x3 - 11x2 + 12x + 9 = 0
a)
-1, 1, 3
b)
-1, 3/2, 3 
c)
-1/2, 3, 3
d)
-1/2, 1, 3
5.
Solve by using Rational Root Theorem: 
x3 + 3x2 - 6x - 8 = 0
a)
 -4, -1, 2
b)
-4, -1, ±√2
c)
1, 2, 4
d)
4,-1,√2
6.

Given the polynomial below, how many roots will it have?
y=x3+5x29x2y=x^3+5x^2-9x-2  

a)

2

b)

1

c)

3

d)

0

7.

What are the roots of the quadratic function?

a)

-4 and -2

b)

4 and 2

c)

-4 and 2

d)

4 and -2

8.

What is the factored form of the function shown?

a)

y = (x+3)(x-1)

b)

y = (x-3)(x-1)

c)

y = (x+3)(x+1)

d)

y = (x-3)(x+1)

9.

What is the degree of the polynomial?

a)

3

b)

0

c)

2

d)

1

10.

Liam is making a rectangular patio for his yard. He wants the length of his patio to be 6 less than twice the width. Set up an equation to represent the Area of the rectangle.

a)

A=x2- 6x

b)

A = 2x2-6x

c)

A = 2x-6x

d)

A = 2x2-12x

11.

The volume of a rectangular prism is 252 cubic cm. If its width is 5 cm less than its length and its height is 2 cm less than its length, then what are the dimensions of the prism?

What are the representations of the length, width, and height respectively?

a)

x, x - 5, x2x^2  

b)

x, 5 - x, 2 - x

c)

x, 5x, 2x

d)

x, x - 5, x - 2

12.

Consider the problem:

Find three consecutive odd integers such that the product of the second and the third is 116 more than thrice the first integer.

What are the representations of the three integers?

a)

x, x + 1, x + 3

b)

x, x + 1, x + 2

c)

x, x + 2, x + 4

d)

x, x2, x4x,\ x^2,\ x^4   

13.

Consider the same problem:

Find three consecutive odd integers such that the product of the second and the third is 116 more than thrice the first integer.

What will be the correct equation to solve the problem?

a)

(x + 2)(x + 4) = 116 + x2x^2  

b)

(x + 2)(x + 4) = 116 + 3x

c)

(x + 1)(x + 3) = 116 + 3x

d)

(x)(x + 2) = 116 + 3x

14.

Consider the same problem:

Find three consecutive odd integers such that the product of the second and the third is 116 more than thrice the first integer.

What are your obtained values of x?

a)

9, -12

b)

-9, 12

c)

9, 12

d)

None of the choices

15.

Consider the same problem:

Find three consecutive odd integers such that the product of the second and the third is 116 more than thrice the first integer.

What are the three consecutive odd integers?

a)

-9, -11, -13

b)

9, 11, 13

c)

11, 13, 15

d)

-8, -10, -12