Algebraic Equation

Q. What condition can change the sign of an inequality?

Q. A statement of equality of two algebraic expressions which involves one or more variables is known as:

1. Binomials
2. Linear equation
3. Equation
4. Expression

Q.

Complete the table and by inspection of the table find the solution to the equation.

$m+10=16$

$\begin{array}{cccccccccccccc}m& 1& 2& 3& 4& 5& 6& 7& 8& 9& 10& \cdots & \cdots & \cdots \\ m+10& \cdots & \cdots & \cdots & \cdots & \cdots & \cdots & \cdots & \cdots & \cdots & \cdots & \cdots & \cdots & \cdots \end{array}$

Q.

Question 16

If $\frac{x}{2}=3,$ then the value of 3x + 2 is

(a) 20
(b) 11
(c) $\frac{13}{2}$
(d) 8

Q.

Question 17

Which of the following numbers satisfy the equation -6 + x = -12?

(a) 2
(b) 6
(c) -6
(d) -2

Q. x + y = 5 is a linear equation

1. True
2. False

Q.

How do you find $c$in a linear equation?

Q.

Question 3(f)

Pick out the solution from the values given in the bracket next to each equation. Show that the other values do not satisfy the equation.

x +4 = 2 (-2, 0, 2, 4)

Q. 6 added to 5 times a variable $p$ is equal to 16 can be written mathematically as

1. $11p$
2. $p+11$
3. $5p+6$
4. $6p+5$

Q. Question 2(d)
Check whether the value given in the brackets is a solution to the given equation or not:
4p-3=13(p=1)

Q.

Is $4x+5-y=0$ a linear equation in one variable?

1. True

2. False

Q.

Any value of the variable which makes both sides of an equation equal is known as a _________ of the equation.

Q.

There is always an equality sign in an equation.

1. True

2. False

Q.

Question 3(e)

Pick out the solution from the values given in the bracket next to each equation. Show that the other values do not satisfy the equation

r - 4 = 0 (4, -4, 8, 0)

Q. Question 2(e)
Check whether the value given in the brackets is a solution to the given equation or not:
4p-3=13(p= -4)

Q.

Which of the following is an equation?

1. x + 3 > 5

2. x + 3 < 5

3. x + 3 = 5

4. None of the above

Q.

Check whether the value given in the brackets is a solution to the given equation or not:
$n+5=19(n=1)$

Q. How to solve equations?

Q.

$2a-15=10$ and $10=-15+2a$ are not the same equations.

1. True

2. False

Q.

How to construct a equation?

Q. Question 2(b)
Check whether the value given in the brackets is a solution to the given equation or not:
7n+5=19(n=-2)

Q. Question 2(f)
Check whether the value given in the brackets is a solution to the given equation or not:
4p-3=13(p=0)

Q. Which symbol is used in mathematics to tell us that any two quantities are equal?

1. >
2. <
3. =
4. $\ne$

Q. Find the product, using suitable properties
$26\times (-48)+(-48)\times (-36)$

Q.

Solve the following equations by hit and trial method:

$3\mathrm{y}-1=14$

Q. What do we get when we convert the statement : "3 added to 2 times x is 10" to an algebraic equation?

1. $2x=10$
2. $2x+3=10$
3. $3x+2=10$
4. $x+3=10$

Q.

Can a linear Equation have $3$ variables ?

Q.

Solve the following equations by hit and trial method:

$2\mathrm{x}=8$

Q. Express the following statement in algebraic form "the sum of $3xand4y$ is 8." [1 MARK]

Q.

Solve the following to find the value of the variables.

$\text{- 7x + 6 = -34}$.