1. The measure of the volume of a rectangular solid is a³b 63b²+7a²-9ab³. Find the dimensions of the solid. *
(a + 3b), (a - 3b) and (ab + 7)
(3a + 3b), (a - 3b) and (ab + 7)
(a + 3b), (3a - 3b) and (ab + 7)
(a + 3b), (a - 3b) and (ab + 3)
2. One of the factors of 2b²+15b-50 is b+10. What is the other factor? *
2b-5
2b + 5
2b - 10
2b + 10
3. The area of the dining room is 130 square units. If the width is 3 meter less than its length, what is the width of the room?
10 units
11 units
12 units
13 units
4. A student is asked to factor (9x² - 4), the provided answer is (3x-2). Is the answer correct?
A. Yes, it uses 3x and 2 which are the square roots of the first term and second term of the given.
B. Yes, the rule for factoring difference of two squares is correctly done.
C. No, the factors of the difference of two squares is the product of the sum and difference of the square roots of the first term and second term.
D. No, the factors should be (3x - 2) (3x - 2) or (3x - 2)².
5. The floor plan for a rectangular building states that the length of the building is to be 8 meters more than 3 times its width. If the floor area is to be 256 square meters, what must be the length and width of the building? *
6 meters long and 16 meters wide
30 meters long and 10 meters wide
8 meters long and 32 meters wide
32 meters long and 8 meters wide
Answers
1. The measure of the volume of a rectangular solid is a³b 63b²+7a²-9ab³. Find the dimensions of the solid. *
(a + 3b), (a - 3b) and (ab + 7)
2. One of the factors of 2b²+15b-50 is b+10. What is the other factor? *
2b + 10
3. The area of the dining room is 130 square units. If the width is 3 meter less than its length, what is the width of the room?
12 units
4. A student is asked to factor (9x² - 4), the provided answer is (3x-2). Is the answer correct?
A. Yes, it uses 3x and 2 which are the square roots of the first term and second term of the given.
B. Yes, the rule for factoring difference of two squares is correctly done.
C. No, the factors of the difference of two squares is the product of the sum and difference of the square roots of the first term and second term.
D. No, the factors should be (3x - 2) (3x - 2) or (3x - 2)².
5. The floor plan for a rectangular building states that the length of the building is to be 8 meters more than 3 times its width. If the floor area is to be 256 square meters, what must be the length and width of the building? *
6 meters long and 16 meters wide
30 meters long and 10 meters wide
8 meters long and 32 meters wide
32 meters long and 8 meters wide
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