A rectangle has a length represented by 8x² + 5x + 3 and a width of 6x² + 4x + 2. What is the total perimeter of the rectangle?
a) 28x² + 18x + 10
c) 28x² + 18x + 20
b) 14x² + 9x + 5
d) 14x² + 10x + 5
The profits of a company are represented by 10x² + 6x + 8, while the expenses are 7x² + 4x + 5. What is the net profit?
a) 3x² + 2x + 3
c) 17x² + 10x + 13
b) 3x² + 3x + 3
d) 3x² + 2x + 2
The distance traveled by a car is represented by 12x² + 8x + 6, while another car traveled 9x² + 6x + 4. What is the total distance traveled?
a) 21x² + 14x + 10
c) 21x² + 14x + 12
b) 21x² + 13x + 10
d) 20x² + 13x + 11
The height of one building is represented by 15x² + 9x + 7, while another building’s height is 12x² + 7x + 5. What is the difference in their heights?
a) 3x² + 2x + 2
b) 3x² + 2x + 3
c) 27x² + 16x + 12 d) 3x² + x + 2
A rectangular garden has dimensions represented by 9x² + 4x + 5 and 7x² + 3x + 4. What is the total perimeter of the garden?
a) 32x² + 14x + 18
c) 32x² + 15x + 17
b) 32x² + 14x + 17
d) 32x² + 14x + 20
A school has student enrollments represented by 11x² + 6x + 4 in one grade and 9x² + 5x + 3 in another grade. What is the combined enrollment?
a) 20x² + 11x + 7
c) 20x² + 11x + 8
b) 20x² + 10x + 8
d) 20x² + 10x + 7
A truck’s cargo weight is represented by 10x² + 5x + 6, while another truck has a cargo weight of 8x² + 4x + 5. What is the total weight of their cargo?
a) 18x² + 9x + 11
c) 18x² + 9x + 12
b) 18x² + 10x + 11
d) 18x² + 10x + 12
The total sales of a store are represented by 16x² + 8x + 9, while the returns are represented by 12x² + 6x + 5. What is the net sales?
a) 4x² + 2x + 4
c) 28x² + 14x + 14
b) 4x² + 3x + 4
d) 4x² + 2x + 5
The height of a hill is represented by 18x² + 9x + 7, while the height of another hill is 15x² + 7x + 5. What is the combined height?
a) 33x² + 16x + 12
c) 33x² + 16x + 11
b) 33x² + 15x + 11
d) 33x² + 15x + 12
A rectangular park has a length represented by 12x² + 6x + 5 and a width represented by 10x² + 4x + 3. What is the total perimeter of the park?
a) 44x² + 20x + 16
c) 44x² + 20x + 14
b) 22x² + 10x + 8
d) 44x² + 20x + 18
