Addition of Terms

Q.

The expanded form of ${[x-y-z]}^2$.

Q. Add: $(3xy+7yz+8xz)+(-2xy+3yz-4xz)$
$+(4xy-5yz-2xz)$

1. $xy+10yz+4xz$
2. $5xy+5yz+2xz$
3. $5xy+2yz+5xz$
4. $2xy+5yz+5zx$

Q. What should be added to $4x+5y$ to get $9x+7y$?

1. $2x+5y$
2. $5x+2y$
3. $13x+12y$
4. $12x+13y$

Q.

Add the following: $4m-6n,2n-7m+12and4m-4mn-15$

Q. If Sam is $x$ years old now, then after $10$ years he will be $x+10$ years old.

1. False
2. True

Q. Add: $10x+4xy+6x^{2}y+5x{y}^2+12y$ and $4x-3xy+2x^{2}y-4x{y}^2-5y$

1. $14x+xy+8x{y}^2+x{y}^2+y$
2. $14x+7xy+x{y}^2+x{y}^2+7y$
3. $14x+xy+8x{y}^2+x{y}^2+7y$
4. $14x+7xy+8x{y}^2+x{y}^2+7y$

Q. Simplify:
$7x^2+5x^2$

1. $12$
2. $12x^2$
3. $12x^4$

Q. Write the expression for the the statement "add $5x$ and $3x$, then subtract the so obtained sum from $12y$”.$\left[3Marks\right]$

Q. In an examination, $+5$ marks are scored by a student if a question is answered correctly and $-2$ marks are scored by a student if a question is answered incorrectly. If Markus attempts $x$ questions correctly and $y$ questions incorrectly, find the total marks scored by Markus in the examination.

1. $5x+2y$
2. $5x\times 2y$
3. $-5x+2y$
4. $5x-2y$

Q. Add the following algebraic expressions:
$32a^2+21ab+16b^2$, $5a^2+2ab+3b^2$ and $4ab+b^2$

1. $37a^2+27ab+20b^2$
2. $37a^2+23ab+20b^2$
3. $35a^2+27ab+20b^2$
4. $37a^2+27ab+19b^2$

Q. Eddie brought $x$ chocolates worth $\$2$ each and $y$ sugar candies worth $\$3$ each. She spent a total of $\$$.

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

Q.

Find the difference: $(4y+3)-(2y-9)$

Q. In a single day, a carpenter can build three tables and four chairs. If he sells one table and one chair in $\$x$ and $\$y$ respectively. Then select the correct expression for daily money earned(in dollars) by the carpenter.

1. $3x+4y$
2. $4x+3y$

Q. What is the sum of numerical coefficients of all terms containing xy in the given expression?
2xy + 4xy + 3yz + 8xy + 36xz (2 marks)