Free Algebraic Expressions 03 Practice Test - 7th grade

Question 1

$25 x^{2} + 5 + 15$ 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, $25 x^{2} + 5 + 15$ 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 $(4 x + 3 a)$ , the result obtained is_____.

$3 x + 2 a$

$9 x + 6 a$

$11 x + 2 a$

$3 x + 7 a$

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.

$\begin{matrix} 4 x + 3 a x + a (-) (-) 3 x + 2 a \end{matrix}$

$(4 x + 3 a) - (x + a) = 3 x + 2 a$

Question 5

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

SOLUTION

Solution : A

5ab=5×a×b
Given, a = 3, b = 2
5ab =5×3×2=30

Question 6

$2 x$ and $(\frac{- 1}{2})$ are ___ of the algebraic expression $(2 x - \frac{1}{2})$ .

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, $2 x$ and $(\frac{- 1}{2})$ are $t e r m s$ of the algebraic expression $(2 x - \frac{1}{2})$ .
Here, we should notice that ‘minus’ is associated with the terms.

Question 7

Perimeter of a square plot with side 2 $x$ 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
$4 \times$ side = 40
$4 \times 2 x$ = 40
$8 x$ = 40

So, $x$ = 5 units.

So, the length of each side is $5 \times 2$ = 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?

4x+6y

pxy

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

9x²+9y+5z²+10p

11x²+2y+10z²+10p

9x²+12y+5z²+10p

19x²+10y+5z²+10p

SOLUTION

Solution : A

Given expression is
2x²+3y+5z² +10p+6y+7x²

Group the like terms:
= (2x²+7x²) + (3y+6y) + 10p + 5z²
Solve groups:
= x²(2+7)+y(3+6)+5z²+10p
= 9x²+9y+5z²+10p

Free Algebraic Expressions 03 Practice Test - 7th grade

Question 1

SOLUTION

Question 2

SOLUTION

Question 3

SOLUTION

Question 4

SOLUTION

Question 5

SOLUTION

Question 6

SOLUTION

Question 7

SOLUTION

Question 8

SOLUTION

Question 9

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Question 10

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Related Exams
Integers 02
Rational Numbers 03
Simple Equations 03