Algebra

Short Answer Questions(SAQs)

What are the uses of algebra?

• Astrological calculations
• Technological developments
• Tax liability
• Preparing a schedule of activities
• Budgeting

What is the meaning of subtraction?

The act or process of subtracting. A mathematical operation in which the difference between two numbers or quantities is calculated.

What is the meaning of a ‘number pattern’?

Number pattern is a pattern or sequence in a series of numbers. This pattern generally establishes a common relationship between all numbers.

MCQs

1. What is the value of x if x + 4 = 10?

(a) 14

(b) 6

(c) 4

(d) 5

► (b) x = 10 − 4 = 6

2. What is the next number in the pattern: 2, 4, 8, 16, ___?

(a) 20

(b) 24

(c) 32

(d) 18

► (c) The pattern doubles: 16 × 2 = 32

3. Which of the following is a variable?

(a) 5

(b) 10

(c) x

(d) 100

► (c) x is a variable

4. The expression 2x + 3 is a:

(a) Constant

(b) Equation

(c) Polynomial

(d) Algebraic expression

► (d) 2x + 3 is an algebraic expression

5. What is the coefficient of x in 7x + 5?

(a) 7

(b) 5

(c) x

(d) 12

► (a) Coefficient of x is 7

6. Which of the following is not a term in the expression x + 2y + 3?

(a) x

(b) 2y

(c) 3

(d) xy

► (d) xy is not in the expression

7. Find x if 3x = 15

(a) 12

(b) 5

(c) 3

(d) 45

► (b) x = 153 = 5

8. Which is a constant in 5x + 7?

(a) x

(b) 5

(c) 7

(d) 12

► (c) 7 is a constant

9. Which equation means “5 more than a number is 12”?

(a) x − 5 = 12

(b) x + 5 = 12

(c) 5x = 12

(d) x = 5 + 12

► (b) x + 5 = 12

10. What does ‘x’ typically represent in algebra?

(a) Operator

(b) Constant

(c) Variable

(d) Product

► (c) x is a variable

11. Solve: x − 7 = 2

(a) 5

(b) 9

(c) −5

(d) 7

► (b) x = 2 + 7 = 9

12. Which symbol shows inequality?

(a) =

(b) −

(c) >

(d) +

► (c) > is an inequality symbol

13. Which pattern continues as 1, 3, 5, 7...?

(a) Multiply by 2

(b) Add 2

(c) Add 1

(d) Multiply by 3

► (b) Adding 2 continues the pattern

14. In expression 6a + 3, 6 is called:

(a) Constant

(b) Variable

(c) Coefficient

(d) Term

► (c) 6 is the coefficient of a

15. What is the value of y if 2y + 6 = 18?

(a) 6

(b) 12

(c) 8

(d) 5

► (a) 2y = 18 − 6 = 12 ⇒ y = 122 = 6

16. A letter used to represent unknown number is:

(a) Operator

(b) Variable

(c) Constant

(d) Equation

► (b) It’s called a variable

17. In x + 4 = 9, what is x?

(a) 3

(b) 5

(c) 4

(d) 9

► (b) x = 9 − 4 = 5

18. Which expression shows “3 times a number plus 2”?

(a) 3 + x

(b) x + 3

(c) 3x + 2

(d) 2x + 3

► (c) 3x + 2 matches the description