Terms of an Algebraic Expression

Q. Identify the variables and constants among the following expressions:

Q.

Find the value of the expression 5ab for a = 3, b = 2.

1. 30

2. 40

3. 50

4. 69

Q.

In the options given below, there are a few terms picked from an algebraic expression in x and y.
Which of them is/are variable?

1. xy

2. 4x+6y

3. pxy

4. 7

Q.

Express $\frac{1}{9}{x}^2-\frac{1}{16}{y}^2$ as a product of binomials and find the value if x = 3 and y = 4.

1. 0

2. 2

3. 1

4. 3

Q. For the given algebraic expression: $8x^{2}y-3y^2+x^2{y}^5$; choose the correct statements.

1. There are 3 terms in the expression.
2. The coeffiecient of $y$ in $3y^2$ is $3y^2$
3. $8x^{2}y$ can be written as $8\times x\times x\times y$
4. The expression is a binomial.

Q. Identify the terms and factors in the expression given.
$-4x+5y$.

Q. Identify the number of terms in the expression: $11xy+\frac{6a}{y}-4z+25$

1. 4
2. 5
3. 6
4. 3

Q. If $a+b=10$, then match the corresponding values of $b$
for a given value of $a$.

1. $b=5$
2. $b=9$
3. $b=7$
4. $b=0$

Q. Which among the following expressions is a constant?

1. (x +1)
2. (y +2)
3. 3
4. (x+ y)

Q. Which of the following symbols are constants?

1. w
2. x
3. a
4. π
5. 56
6. 8
7. 29
8. 84
9. k
10. t

Q. If $a+b=10$, then match the corresponding values of $b$
for a given value of $a$.

1. $b=9$
2. $b=0$
3. $b=7$
4. $b=5$

Q.

Expand: ${[\sqrt{3x}-\frac{\sqrt{2}}{5}y]}^2$

1. $3x^2-\frac{2}{5}\sqrt{6x}+\frac{2}{25}$

2. $3x-\frac{2\sqrt{6x}y}{5}+\frac{2}{25}{y}^2$

3. $3x^2-\sqrt{6x}+\frac{4}{25}$

4. $x^2-\frac{2}{5}\sqrt{6x}+\frac{4}{25}$

Q.

Which expression represents the use of the distributive property on 3(a + b)?

1. 3a + 3b

2. 3a + b

3. a + 3b

4. 3ab

Q. Which of the following numbers can be the terms of the pattern 1, 3, 5, 7, ....?

1. 8
2. 9
3. 10
4. 11
5. 12
6. 14
7. 15
8. 16
9. 17
10. 19

Q. Which of the following is/are algebraic expression/s?

1. 2 $\times$ 8 + 9
2. 2$x$ + 3
3. $\frac{21}{5}$ + 8
4. $\frac{5}{x}$ $\times$ 12

Q.

The given expression '2x²+3y+5z²+10p+6y+7x^2', on simplification gives:

1. 9x²+9y+5z²+10p

2. 9x²+12y+5z²+10p

3. 11x²+2y+10z²+10p

4. 19x²+10y+5z²+10p

Q. If $a+b=10$, then match the corresponding values of $b$
for a given value of $a$.

1. $b=9$
2. $b=0$
3. $b=7$
4. $b=5$