Methods of Solving an Equation

Q. The answer to a subtraction problem is called the_____.

Q. If $\frac{2}{5x}-\frac{5}{3x}=\frac{1}{15}$, then the value of '$x$' is:

1. $19$
2. $29$
3. $-19$
4. $-39$

Q. Solve :​
$y+8=5$

Q. Solve for $x$ and $y$:
$(a+2b)x+(2a-b)y=2,(a-2b)x+(2a+b)y=3$

1. $x=\frac{1}{a}+\frac{1}{15b},y=\frac{1}{2a}-\frac{1}{20b}$
2. $x=\frac{1}{2a}+\frac{1}{5b},y=\frac{1}{a}-\frac{1}{10b}$
3. $x=\frac{1}{a}-\frac{1}{5b},y=\frac{1}{2a}+\frac{1}{10b}$
4. $x=\frac{1}{2a}-\frac{1}{5b},y=\frac{1}{a}+\frac{1}{10b}$

Q. Let $f\left(x\right)$ be a function satisfying $f\left(x\right)+f(x+2)=10\forall x\in R$, then

1. $f\left(x\right)$ is a periodic function
2. $f\left(x\right)$ is aperiodic function
3. ${\int }_{-1}^{7}f\left(x\right)dx=20$
4. ${\int }_{-1}^{7}f\left(x\right)dx=40$

Q. In a number system the product of 44 and 11 is 3414 The number 3111 of this system when converted to the decimal number system becomes

1. 406
2. 1086
3. 691
4. 213

Q. If a : b = 3 : 4, then find 4a : 5b. [1 Mark]

Q. If $13$ is subtracted from twice a number, the result is $19$. Find the number.

Q. Solve :​
$p+4.6=8.5$

Q. The difference between two numbers is 7. Six times the smaller plus the larger is 77. Find the numbers. [2 Marks]

Q. Simplify the following:
$\frac{9}{3}÷\frac{4}{6}\times \frac{13}{18}-\frac{3}{5}=$ $x\frac{13}{20}$. Find x.

Q. Robert stores s number of chocolate boxes that costs 54 dollars. If each box costs 9 dollars, which one of the folllowing equations is required to find the number of boxes?

1. 9s = 54
2. 54s = 9
3. s + 9 = 54
4. s + 54 = 9

Q. Robert stores s number of chocolate boxes that costs 54 dollars. If each box costs 9 dollars, which one of the folllowing equations is required to find the number of boxes?

1. 9s = 54
2. 54s = 9
3. s + 9 = 54
4. s + 54 = 9