Forming Equation from Solution

Q. Question 1(c)
Set up equations and solve them to find the unknown numbers in the following cases:
If I take three-fourth of a number and add 3 to it, I get 21.

Q. Question 1(d)
Set up equations and solve them to find the unknown numbers in the following cases:
When I subtracted 11 from twice a number, the result was 15.

Q.

Set up an equation in the following case:
In an isosceles triangle, the vertex angle is twice either base angle. (Let the base angle be $b$ in degrees. Remember that the sum of angles of a triangle is ${180}^{\circ }$. )

Q. Find the value of x:
2x+5=10.

Q. Question 1(a)
Set up equations and solve them to find the unknown numbers in the following cases:
Add 4 to eight times a number; you get 60.

Q.

Katies orange tree has $30$ oranges.

Katies tree has three times as many fruits as Lisas did before Lisa harvested half of her limes on the tree.

How many limes does Lisa have on her tree now?

Q. From the sum of 3x - y + 11 and - y - 11, subtract 3x – y – 11. Write the algebraic expression. [3 MARKS]

Q.

Question 4(v)
Write the equation for the following statement:
Three-fourth of t is 15.

Q.

Question 4(ix)
Write the equation for the following statement:
If you add 3 to one-third of z, you get 30.

Q.

Question 4(i)
Write the equation for the following statement:
The sum of numbers x and 4 is 9.

Q.

Question 11

x exceeds 3 by 7, can be represented as

(a) x + 3 = 2

(b) x + 7 = 3

(c) x - 3 = 7

(d) x - 7 = 3

Q.

Question 4(iv)
Write the equation for the following statement:
One-fourth of a number x minus 4 gives 4.

Q.

Question 4(viii)
Write the equation for the following statement:
If you take away 6 from 6 times y, you get 60.

Q.

Question 4(iv)
Write the equation for the following statement:
The number b divided by 5 gives 6.

Q.

Question 4(ii)
Write the equation for the following statement:
2 subtracted from y is 8.

Q. If we add $1$ to the numerator and subtract $1$ from the denominators a fraction reduce to $1$. It becomes $\frac{1}{2}$ if we only add $1$ to the denominators . what is the fraction?

Q.

Question 5(i)
Write the following equation in statement form:
p + 4 = 15

Q.

If 37/13 = 2+ 1/[a+ {1/(b+ 1/c)}] where a, b, c are natural numbers then what are their values ?

Q.

Write the equation for the following statement:
Seven times $m$ plus $7$ gets you $77.$

Q.

Solve the following equation: $\frac{t}{5}=10$

Q.

Question 4(iii)
Write the equation for the following statement:
Ten times a is 70.

Q.

Frame an equation for the following statement:
A number is four times another number and their difference is $12$.

1. x + 4x=12

2. 4x - x = 12

3. 4x = 12

4. Either A or B

Q.

Question 5(iv)
Write the following equation in statement form:
$\frac{m}{5}=3$

Q.

Write equation for the following statement

One-third of a number plus $5$ is $8$

Q.

The sum of three consecutive integers is $24$. Find the product of the integers.

1. $504$

2. $720$

3. $540$

4. none of these

Q.

Question 5(viii)
Write the following equation in statement form:
$\frac{p}{2}+2=8$

Q. Question 4(b)
Construct 3 equations starting with x=-2

Q.

The statement a number $p$ multiplied by $4$ is $28$ can be expressed as .

Q.

Question 5(vi)
Write the following equation in statement form:
3p + 4 = 25

Q. The difference between 3/5th of 2/3rd of a number and 2)5th of 1/4th of the same number is 288 . What is the number?