Equation

Q. The value of the variable which balances or satisfies the equation is called :

1. solution to the eqaution
2. constant to the eqaution
3. product of the equation
4. sum of the equation

Q.

Kamal is $17$ years older that Gina. Gina is $3$ years younger than Rachelle. If the sum of their ages is $77$, how old is Gina?

Q.

Assertion: The graph of the equation of the form $y=mx$ is a line which always passes through the origin.

Reason: A linear equation in two variables has infinitely many solutions.

Which of the following is correct?

1. A is true and R is false.

2. A is false and R is true.

3. Both A and R are true and R is the correct explanation of A.

4. Both A and R are true and R is not the correct explanation of A.

Q.

Question 45

Answer True/False.

If $x$ is a negative integer, $-x$ is a positive integer.

Q. Question 3(ii)
Add the following:
(ii) a- b+ab, b - c +bc, c - a + ac

Q. A variable always has a fixed value.

1. True
2. False

Q.

Write equation for the following statement

The sum of three times $x$ and $11$ is $32$

Q. From the sum of +33 and -47 , subtract -84

Q.

What does equation mean?

Q.

______ is the solution of the equation $3x–2=7.$

Q.

A quantity whose value is fixed is called

Q.

What is the meaning of followeth?

Q.

Which number is missing in the following series? $2,5,10,17,26,37,50,\_\_$

1. $65$

2. $55$

3. $70$

4. $57$

Q.

Frame an expression: A number is 8 less than the product of 5 and y.

1. 8 - 5y

2. 5y - 8

3. 40y

4. 5y + 8

Q. Question 3(i)
Add the following:
(i) ab-bc, bc-ca, ca-ab

Q. Equation is a mathematical statement that establishes equality between two expressions.

1. True
2. False

Q.

Find the value of $10-\left(-10\right)-\left(-2\right)$.

Q. By how much does 1 exceed 3a-5b+8

Q.

A term of an equation can be transposed to the other side by changing its _________.

Q.

Question 73

Choose a letter x, y, z, p etc...., wherever necessary, for the unknown (variable) and write the corresponding expressions for the given statement:

Write an equation for which 0 is a solution.

Q. Which one of the following fraction should be subtracted from 9/15 such the difference becomes 11/20

Q.

If $f\left(x\right)=ax+b$, $g\left(x\right)=cx+d$, then $fg\left(x\right)=gf\left(x\right)$ is equivalent to:

1. $f\left(a\right)=g\left(c\right)$

2. $f\left(b\right)=g\left(b\right)$

3. $f\left(d\right)=g\left(b\right)$

4. $f\left(c\right)=g\left(a\right)$

Q.

Complete the table and find the solution to the equation $m-7=3$.

$m$	$5$	$6$	$7$	$8$	$9$	$10$	$11$	$12$	$13$	$14$	$15$
$m-7$

Q.

Solve for y. 2y - 3 = 9

1. 6

2. 5

3. 4

4. 3

Q.

Find the sum of: $-50,-200$ and $300$

Q.

Write the following as an equation:
$Twicethesumofaandbisequaltothricetheirquotient.$

Q.

Write the algebraic expression The product of three consecutive odd integers, out of which the middle one is $x$.

Q.

Solve the equation:

$3(2p-1)=5-(3p-2)$

Q.

Form an equation - three more than twice of x is 33.

1. 2x - 3 = 33

2. 2x = 33

3. 2x + 3 = 33

4. x + 3 = 33

Q.

Write the following statements as algebraic expressions :

Product of twice of $a$ and thrice of $b$