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Find the product.
(x + 7y) (7x − y)
Concept: undefined >> undefined
Find the product.
(a2 + b) (a + b2)
Concept: undefined >> undefined
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Find the product.
(p2 − q2) (2p + q)
Concept: undefined >> undefined
Draw the graphs for the following tables of values, with suitable scales on the axes.
Cost of apples
| Number of apples | 1 | 2 | 3 | 4 | 5 |
| Cost (in ₹) | 5 | 10 | 15 | 20 | 25 |
Concept: undefined >> undefined
Draw the graphs for the following tables of values, with suitable scales on the axes.
Distance travelled by a car
| Time (in hours) | 6 a.m. | 7 a.m. | 8 a.m. | 9 a.m. |
| Distance (in km) | 40 | 80 | 120 | 160 |
- How much distance did the car cover during the period 7.30 a.m. to 8 a.m.?
- What was the time when the car had covered a distance of 100 km since it's start?
Concept: undefined >> undefined
Draw the graphs for the following tables of values, with suitable scales on the axes.
Interest on deposits for a year:
| Deposit (in Rs) | 1000 | 2000 | 3000 | 4000 | 5000 |
| Simple interest (in Rs) | 80 | 160 | 240 | 320 | 400 |
- Does the graph pass through the origin?
- Use the graph to find the interest on Rs 2500 for a year:
- To get an interest of Rs 280 per year, how much money should be deposited?
Concept: undefined >> undefined
Draw a graph for the following:
| Side of square (in cm) | 2 | 3 | 3.5 | 5 | 6 |
| Perimeter (in cm) | 8 | 12 | 14 | 20 | 24 |
Is it a linear graph?
Concept: undefined >> undefined
Draw a graph for the following:
| Side of square (in cm) | 2 | 3 | 4 | 5 | 6 |
| Area (in cm2) | 4 | 9 | 16 | 25 | 36 |
Is it a linear graph?
Concept: undefined >> undefined
Multiply the monomial by the binomial and find the value for x = −1, y = 0.25 and z = 0.05: 15y2(2 − 3x)
Concept: undefined >> undefined
Multiply the monomial by the binomial and find the value for x = −1, y = 0.25 and z = 0.05: −3x(y2 + z2)
Concept: undefined >> undefined
Multiply the monomial by the binomial and find the value for x = −1, y = 0.25 and z = 0.05: z2(x − y)
Concept: undefined >> undefined
Multiply the monomial by the binomial and find the value for x = −1, y = 0.25 and z = 0.05:
xz(x2 + y2)
Concept: undefined >> undefined
Find the product of the following binomial: (2x + y)(2x + y)
Concept: undefined >> undefined
Find the product of the following binomial: (a + 2b)(a − 2b)
Concept: undefined >> undefined
Find the product of the following binomial: (a2 + bc)(a2 − bc)
Concept: undefined >> undefined
Find the product of the following binomial: \[\left( \frac{4x}{5} - \frac{3y}{4} \right)\left( \frac{4x}{5} + \frac{3y}{4} \right)\]
Concept: undefined >> undefined
Find the product of the following binomial: \[\left( 2x + \frac{3}{y} \right)\left( 2x - \frac{3}{y} \right)\]
Concept: undefined >> undefined
Find the product of the following binomial: (2a3 + b3)(2a3 − b3)
Concept: undefined >> undefined
Find the product of the following binomial: \[\left( x^4 + \frac{2}{x^2} \right)\left( x^4 - \frac{2}{x^2} \right)\]
Concept: undefined >> undefined
Find the product of the following binomial: \[\left( x^3 + \frac{1}{x^3} \right)\left( x^3 - \frac{1}{x^3} \right)\]
Concept: undefined >> undefined
