# Free Algebraic Expressions 03 Practice Test - 7th grade

### Question 1

25x2+5+15 is a binomial.

True

False

#### SOLUTION

Solution :B

A polynomial with two unlike terms is called a binomial and the one with three unlike terms is called a trinomial.

Hence, 25x2+5+15 is a trinomial.

### Question 2

The algebraic expression "x” does not contain any constant term.

True

False

#### SOLUTION

Solution :A

In the expression "x”, the variable is x and it does not have any constant term.

For example, in the expression 5 + 10y, the constant term is 5.

Hence, the statement is correct.

### Question 3

The coefficient of x in '2x +5y' is

#### SOLUTION

Solution :Coefficient is defined as a number or symbol multiplied to a variable or an unknown quantity in an algebraic term. The coefficient of x in '2x + 5y' is 2.

### Question 4

On subtracting (x+a) from (4x+3a), the result obtained is_____.

3x+2a

9x+6a

11x+2a

3x+7a

#### SOLUTION

Solution :A

Arrange the polynomials with like terms one below the other. Change the sign of each term to be subtracted and then combine the like terms.

4x + 3a x + a(−) (−) 3x + 2a

(4x+3a)−(x+a)=3x+2a

### Question 5

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

30

40

50

69

#### SOLUTION

Solution :A

5ab=5×a×b

Given, a = 3, b = 25ab =5×3×2=30

### Question 6

2x and (−12) are

#### SOLUTION

Solution :The '

term'of an algebraic expression is either a single number or variable, or number and variables multiplied together.

When such terms are added, it forms an algebraic expression.

So, 2x and (−12) are terms of the algebraic expression (2x−12).

Here, we should notice that ‘minus’ is associated with the terms.

### Question 7

Perimeter of a square plot with side 2x is 40 units. Find the length of the side of the square plot.

5 units

16 units

10 units

20 units

#### SOLUTION

Solution :C

Perimeter of square = 40 units

4× side = 40

4×2x = 40

8x = 40So, x = 5 units.

So, the length of each side is 5×2 = 10 units.

### Question 8

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?

xy

4x+6y

pxy

7

#### SOLUTION

Solution :A, B, and C

A constant is a number on its own which has a fixed value whose value does not change.

In the given options the values of 'xy', '4x+6y' and 'pxy' are not fixed and can change depending on which value 'x' and 'y' takes, but '7' is a fixed value.

So '7' is a constant and others are variables.

### Question 9

The coefficient of xy in the expression '12xy + 6' is

#### SOLUTION

Solution :In the expression '12xy + 6', 'xy' is the variable part and it is multiplied to a constant part, which is called co-efficient of the variable.

In this case the coefficient of xy is 12.

### Question 10

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

9x^{2}+9y+5z^{2}+10p

11x^{2}+2y+10z^{2}+10p

9x^{2}+12y+5z^{2}+10p

19x^{2}+10y+5z^{2}+10p

#### SOLUTION

Solution :A

Given expression is

2x^{2}+3y+5z^{2}+10p+6y+7x^{2}

Group the like terms:

= (2x^{2}+7x^{2}) + (3y+6y) + 10p + 5z^{2}Solve groups:

= x^{2}(2+7)+y(3+6)+5z^{2}+10p

= 9x^{2}+9y+5z^{2}+10p