 |
| 1 | |
Multiply (x + 2)(3x – 1). |
| | A) | 3x2 – 5x – 2 |
| | B) | 3x2 + 5x – 2 |
| | C) | 3x2 – 5x + 2 |
| | D) | 3x2 + 7x – 2 |
|
|
|
| 2 | |
Multiply (y – 3)(5y2 + 2y – 1). |
| | A) | 5y3 – 13y2 – 7y + 3 |
| | B) | 5y3 – 17y2 – 7y + 3 |
| | C) | 5y3 – 13y2 – 5y + 3 |
| | D) | 5y3 + 17y2 – 7y + 3 |
|
|
|
| 3 | |
Multiply (x – 3)(2x – 1) + (x – 1)(3x + 2). |
| | A) | 5x2 + 8x + 1 |
| | B) | 5x2 – 8x + 1 |
| | C) | –x2 – 8x + 1 |
| | D) | 5x2 – 8x – 1 |
|
|
|
| 4 | |
Last year, a farmer sold 1200 bushels of apples at a price of $20/bushel. He plans to raise the price by $x. However, the number of bushels sold will drop by 50 for every dollar that he raises the price. Write an expression for the revenue he can expect after a price raise of $x.
 <![CDATA[<a onClick="window.open('/olcweb/cgi/pluginpop.cgi?it=jpg::::/sites/dl/free/0070002479/775988/M10Ch5Qu4.jpg','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="/olcweb/styles/shared/linkicons/image.gif"> (2.0K)</a>]]> |
| | A) | (1200 – x)(20 + x) |
| | B) | (1200 – 20x)(50 + x) |
| | C) | (1200 – x)(20 + 50x) |
| | D) | (1200 – 50x)(20 + x) |
|
|
|
| 5 | |
Determine the greatest common factor (GCF) of 14a4b5 and 21a3b. |
| | A) | 7a3b5 |
| | B) | 7a3b |
| | C) | 7a4b |
| | D) | 14a3b |
|
|
|
| 6 | |
Factor 15x2y3 + 35x4y2 – 20x3y4 completely. |
| | A) | 5x2y2(3y + 35x2 – 20xy2) |
| | B) | 5x2y2(3y + 7x2 – 4xy2) |
| | C) | 5xy(3xy2 + 7x3y – 4x2y3) |
| | D) | x2y2(15y + 35x2 – 20xy2) |
|
|
|
| 7 | |
Factor the polynomial 5p(2p – 1) + 2q(2p – 1). |
| | A) | 2p(5p + 2q) – 1 |
| | B) | 5p(2p – 1) + 2q |
| | C) | (2p – 1)(5p – 2q) |
| | D) | (2p – 1)(5p + 2q) |
|
|
|
| 8 | |
Factor the trinomial x2 – 11x – 12. |
| | A) | (x – 12)(x + 1) |
| | B) | (x + 12)(x – 1) |
| | C) | (x – 12)(x – 1) |
| | D) | (x + 3)(x – 4) |
|
|
|
| 9 | |
Three classes at a school have 18, 24, and 27 students. All three will be divided into project groups. Each group must have the same number of students, and all the students in a group must be in the same class. What is the largest group size possible? |
| | A) | 9 |
| | B) | 6 |
| | C) | 3 |
| | D) | 1 |
|
|
|
| 10 | |
Factor the trinomial 6x2 – x – 2. |
| | A) | (2x – 1)(3x + 2) |
| | B) | (3x + 1)(2x – 2) |
| | C) | (2x + 1)(3x – 2) |
| | D) | (6x + 1)(x – 2) |
|
|
|
| 11 | |
Factor the expression 16a2 – 49b2. |
| | A) | (4a + 7b)(4a + 7b) |
| | B) | (4a + 7b)(4a – 7b) |
| | C) | (4a – 7b)(4a – 7b) |
| | D) | (16a + b)(a – 49b) |
|
|
|
| 12 | |
The expression 4x2 + kxy + 25y2 is a perfect square trinomial. What is the value of k? |
| | A) | 20 |
| | B) | –20 |
| | C) | The value of k can be either 20 or –20. |
| | D) | There is no value for k that will work. |
|
|
.