2NT Algebra

 $2x+y-x-3y=?$  

 $2\left(5x-3y+2\right)$  

 $\frac{1}{4}a-2b+\frac{1}{8}a+7b$  

There are two numbers. One number is 5 more than the other number. The sum of the two numbers is 27. Formulate a linear equation to find the two numbers. 

•  $x+5x=27$  

•  $x+x+x+x+x+x+x=27$  

•  $x+\left(x+5\right)=27$  

•  $x+x=27$  

The product of a number and 7 is equal to 133.

Formulate a linear equation to find the number.

• $7-a=133$

• $a\times7=133$

• $7a+a=133$

• $a\div7=133$

Ahmad is x years old.

Ali is 6 years younger than Ahmad.

The sum of their ages is 52 years.

(i) Formulate a linear equation to find the ages of Ali and Ahmad.

(ii) How old is Ahmad ?

• $x+x-6=52\ \ \ \ \left(29\ years\ old\right)$

• $x+x+6=52\ \ \ \ \left(23\ years\ old\right)$

• $x+x-6=52\ \ \ \ \left(23\ years\ old\right)$

• $x-6=52\ \ \ \left(58\ years\ old\right)$

 $2x=2\left(1-3x\right)$  

 $4a=68$  

 $4x-3\left(2-x\right)$  

•  $x+6$  

•  $x-6$  

•  $7x-6$  

•  $7x+6$  

The breadth of a rectangle is x cm less than its length. The area of the rectangle is 84 cm2.
Formulate a linear equation and find the find the value of x.

•  $12x=84\ \ \ \ \ \ x=7$  

•  $12\left(12-x\right)=84\ \ \ \ \ \ x=7$  

•  $12\left(x-12\right)=84\ \ \ \ \ \ x\ =\ 19$  

•  $12\left(12-x\right)=84\ \ \ \ \ \ x=5$