Addition of Algebraic Expression

Q. Identify the type of algebraic expression we get after simplifying the given expression.
$(6xy-8x+9y+4)-(5x+2yx+9y+4-xz)$

1. Monomial
2. Polynomial
3. Binomial
4. Trinomial

Q. If the sides of a triangle are (a - 3ab + 8), (4a + 5ab - 3) and (6 - 3a + 4ab) units, then its perimeter is ____.

1. (8a + 6ab + 11) units
2. (2a + 6ab + 1) units
3. (4a + 6ab + 11) units
4. (2a + 6ab + 11) units

Q. Find the sum of $(\frac{a}{2}+\frac{b}{3}-\frac{c}{4});(\frac{2a}{3}+\frac{3b}{4}-\frac{4c}{5})$ and $(a+b+c)$?

1. $\frac{3}{6}a+\frac{25}{2}b-\frac{1}{20}c$
2. $\frac{13}{6}a+\frac{25}{12}b-\frac{1}{2}c$
3. $\frac{13}{6}a+\frac{5}{12}b-\frac{1}{20}c$
4. $\frac{13}{6}a+\frac{25}{12}b-\frac{1}{20}c$

Q. Find the perimeter of the figure given below:

1. 14x + 2y
2. 14x - 2y
3. 14x - 3y
4. 14x + 3y

Q. If A = (4x + y - 12xy + 9z),
B = (3y + 9x + 6xy - 7z),
C = (6x + 6y + 9xy)
Find 2A - 3B + 4C.

1. (5x + 17y + 6xy + 39z)
2. (5x + 17y - 6xy + 39z)
3. (5x + 17y - 6xy - 39z)
4. (5x + 17y + 30xy + 39z)

Q.

If 1 / X - 1 / Y is equals to 6 / 7 and x y is equals to 7 then x, y are

Q. In a garden, roses are planted in squares plot and marigolds are planted in rectangulars plots. The length of the rectangular plot in which marigolds are planted is 2 times the length of the square plot in which roses are planted, and the breadth of the rectangular plot is 3 meters greater than the square plot. If the perimeter of the square plot of roses is 64 meters then, how much bigger is the perimeter of marigold plot than the rose plot?

1. 35 metres
2. 38 metres
3. 34 metres
4. 36 metres

Q. If (A = 3y + 9x - 3xy)
(B = 6x - 2y + 3xy)
(C = 9x - 3xy - y), then find (A + B - C).

1. 3x + 3xy + 2y
2. 6x + 3xy - 2y
3. 6x - 3xy + 2y
4. 6x + 3xy + 2y

Q.

A building block has a square base that has a perimeter of $(12x-9)$inches. Explain how to use the expression to find the length (in inches) of the wall shown.

Q. The algebraic expression $5x-7y+13$ is:

1. Monomial
2. Binomial
3. Trinomial
4. Quadrinomial

Q. Identify the correct relationship between x and y from the given table.

1. y = 6x
2. y = 5x - 1
3. y = 4x + 2
4. y = 5x + 1

Q. If the sides of a rectangle are $6xz+4y-2xy-3x+6$ units and $xy-2x+4xz-9$ units, then its perimeter is ___.

1. $20xz+2xy+8y+10x-6$
2. $20xz-2xy+8y-10x-6$
3. $10xz-xy+4y-5x-3$
4. $20xz-xy+4y-10x-6$

Q.

-3-x=1+3x

Q.

What should be taken away from 3x² − 4y² + 5xy + 20 to obtain

− x² − y² + 6xy + 20?

Q. 2x+10=15

Q.

A certain amount has been divided into two parts in the ratio 2:7. If the second part is ₹ 210 . Total amount is ₹ ___

1. ₹ 270

2. 370

3. 60

4. 120

Q. Find the sum of (4x + 8xy - 2y) and (6yx + 6y + 9x + 7).

1. 13x + 14xy + 6y + 7
2. 3x + 10xy + 4y + 7
3. 13x + 14xy + 4y + 7
4. 13x + 4xy + 4y + 7

Q.

6(3x+2)-5(6x-1)=3(x-8)-5(7x-6)+9x

Q. Roshan's mother gave him $₹(6xy+6x)$ and his father gave him $₹6(xy+2x+2)$ for his birthday. If he spent $₹3(xy+x+1)$ on his birthday party and if $x=1$ and $y=2,$ then find the total amount left with him.

1. ₹43
2. ₹45
3. ₹40
4. ₹42

Q.

5(2-3x)-17(2y-5)=16

Q. Identify terms which contain x and give the coefficient of x.
$y^{2}x+y$.

Q. Simplify the expression 2(a + ab + 3) - ab and find its value when a = 5 and b = - 3.

1. a + ab + 6 and 1
2. 2a + 2ab + 6 and - 1
3. 2a + ab + 6 and - 1
4. 2a + ab + 6 and 1

Q. Simplify each of the following:
(i) 7x³y + 9yx³
(ii) 12a²b + 3ba²

Q. Which of the following algebraic expressions is a trinomial?

1. $7(x+y)+9x$
2. 6 + 9 - 3
3. $7x+6xy+24y+7yx$
4. $3x+9x-xy$

Q.

Find the sum of
$2mn+11xand22x+4mn$.

1. $6mn+33x$

2. $5mn+22x$

3. $29mnx$

4. $33mnx$

Q. If two adjacent sides of the rectangle are (7x + 9y) units and (6x - 5y) units long, then the perimeter of the rectangle is_____ units.

1. 26x + 4y
2. 4x + 13y
3. 26x + 8y
4. 13x + 8y

Q. The measures of the angles of a quadrilateral are $(p+{25}^{\circ }),2p,(2p-{15}^{\circ })$ and $(p+{20}^{\circ })$. What is the measure of the smallest angle?

1. ${105}^{\circ }$
2. ${65}^{\circ }$
3. ${115}^{\circ }$
4. ${75}^{\circ }$

Q.

x² - 2x + 3 - A = -3x² + 4x - 9, then A =

1. -4x² - 6x + 12

2. 4x² + 6x - 12

3. 4x² - 6x + 12

4. 4x² + 6x + 12

Q. In a two digit number, the units digit is x and tens digit is (x+3). What is the sum of the digits in the number?

1. 11x + 3
2. 2x + 3
3. 3 + x
4. 11x + 30

Q. The sum of $3x+9y+7z$ and $6x+2y$ is .

1. $6x+11y+7z$
2. $9x+9y+7z$
3. $6x+9y$
4. $9x+11y+7z$