Algebraic Expressions & Equations

See The Chapter PDF(Simple Equations)

See The Chapter PDF(Algebraic Expressions)

Short Answer Questions(SAQs)

How to solve an equation?

  1. Simplify each side of the equation by removing parentheses and combining like terms.
  2. Use addition or subtraction to isolate the variable term on one side of the equation.
  3. Use multiplication or division to solve for the variable.

What are the different types of equation?

  1. Linear Equation
  2. Radical Equation
  3. Exponential Equation
  4. Rational Equation

What is meant by transposing?

By transposing a term from one side to another side, we mean changing its sign and carrying it to the other side.

What is a constant?

Constant is a quantity which has a fixed value.

What are like and unlike terms?

In algebra, like terms are terms that have the same variables and powers. Unlike terms are two or more terms that are not like terms, i.e. they do not have the same variables or powers.

What are the types of polynomials?

  1. Monomial
  2. Binomial
  3. Trinomial

MCQs

1. What is the value of x in the equation 2x + 3 = 11?

(a) 3

(b) 4

(c) 5

(d) 6

► (b) 4

2. Which of the following is a binomial?

(a) 7

(b) x + 5

(c) 3xy

(d) x2 + 2x + 1

► (b) x + 5

3. Which is a linear equation?

(a) x2 + x = 2

(b) 3x - 7 = 2

(c) x3 - x = 4

(d) x = 5

► (b) 3x - 7 = 2

4. Which of the following is a monomial?

(a) x + y

(b) 4

(c) 3x

(d) x2 + 2

► (c) 3x

5. What is the degree of the polynomial x2 + 5x + 3?

(a) 1

(b) 2

(c) 3

(d) 4

► (b) 2

6. What is the result of transposing -3x to the other side of the equation?

(a) -3x

(b) 3x

(c) x

(d) 0

► (b) 3x

7. If x = 3, what is the value of 2x + 1?

(a) 5

(b) 6

(c) 7

(d) 8

► (c) 7

8. Which of the following is an example of a rational equation?

(a) x + 1 = 5

(b) x / (x + 1) = 2

(c) x2 = 4

(d) 2x = 3

► (b) x / (x + 1) = 2

9. If x2 = 16, what is the positive value of x?

(a) 2

(b) 3

(c) 4

(d) 5

► (c) 4

10. Which term is unlike: 3x, -2x, 4x2, x?

(a) 3x

(b) -2x

(c) 4x2

(d) x

► (c) 4x2

11. Which expression is a trinomial?

(a) x + 2

(b) x2 + 3x + 5

(c) 2x

(d) x - y

► (b) x2 + 3x + 5

12. Which is the correct order of steps to solve 2(x - 3) = 8?

(a) Expand → Solve

(b) Multiply → Expand → Solve

(c) Divide → Expand → Solve

(d) None of these

► (a) Expand → Solve

13. Which of these is a radical equation?

(a) x + 4 = 7

(b) √x + 1 = 3

(c) 2x = 6

(d) x2 = 9

► (b) √x + 1 = 3

14. How many terms are in the expression 5x + 3y - 2?

(a) 2

(b) 3

(c) 1

(d) 4

► (b) 3

15. What is the constant term in x2 + 4x + 6?

(a) x2

(b) 4x

(c) 6

(d) x

► (c) 6

16. What is the coefficient of x in 7x - 9?

(a) 7

(b) -9

(c) x

(d) 0

► (a) 7

17. Which term is like to 3xy?

(a) 4xy

(b) 2x

(c) 5y

(d) 6x2

► (a) 4xy

18. What is the inverse operation of multiplication?

(a) Addition

(b) Subtraction

(c) Division

(d) Exponentiation

► (c) Division