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Symbol Notation - Beginner Level: symbol relationships BEGINNER

Master symbol notation concepts through this speed drill practice set. Worksheet 6 of 30 contains 20 beginner-level problems. Deep dive into symbol relationships while learning symbol relationships, logical symbols, notation decoding. Recommended for entry-level learners aiming for foundational concepts and basic patterns.

📝 Worksheet 6 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Beginner level

What you'll learn in this worksheet:
Your progress through Symbol Notation
Worksheet 6 of 30 (20% complete)

Question 1

If k(x) = x² - 1, then find k(9)
Substituting x = 9:
9² - 1 = 80
functions, substitution

Question 2

In the notation system where ☀ means x³, what is the value of ☀(6)?
Applying ☀ to 6:
6³ = 216
complex, systems

Question 3

If k(x) = x + 2x, then find k(7)
Substituting x = 7:
7 + 27 = 34
functions, substitution

Question 4

If f(x)=x+2, g(x)=2x, h(x)=x², p(x)=x-3, q(x)=x/2, r(x)=3x-1, then evaluate: q(h(f(2)))
Evaluate from innermost outward:
q(h(f(2)))
= 8
nested, functions, advanced

Question 5

If k(x) = x + 2x, then find k(7)
Substituting x = 7:
7 + 27 = 34
functions, substitution

Question 6

If '≺' means '<', then determine: 5 ≺ 1
≺ = <
5 < 1 is False
inequality, comparison

Question 7

If P = True and '!' means NOT, then evaluate: !P
Logical operation: NOT
P=True → NOT flips the value
Result: False
logic, boolean

Question 8

Given matrices: A = [ 1 5] [ 2 2] B = [ 1 3] [ 3 1] Compute: A × B
Matrix multiplication:
A × B =

[16 8]
[ 8 8]
matrix, advanced

Question 9

Given: A = {3, 4, 8} B = {3, 6, 10} C = {2, 3, 5, 6, 8, 9} Find: B − A
Difference of B and A:
{3, 6, 10} − {3, 4, 8} = {6, 10}
sets, operations

Question 10

If '≠' means '≠', then determine: 9 ≠ 18
≠ = ≠
9 ≠ 18 is True
inequality, comparison

Question 11

If ♡ = ÷, ⊖ = - (standard order of operations applies), then evaluate: 10 ♡ 15 ⊖ 7
Substituting symbols: 10 ÷ 15 - 7
Applying order of operations: = -7
arithmetic, basic

Question 12

Given matrices: A = [ 3 5] [ 3 5] B = [ 3 4] [ 4 2] Compute: A - B
Matrix subtraction:
A - B =

[ 0 1]
[-1 3]
matrix, advanced

Question 13

If f(x)=x+2, g(x)=2x, h(x)=x², p(x)=x-3, q(x)=x/2, r(x)=3x-1, then evaluate: q(f(2))
Evaluate from innermost outward:
q(f(2))
= 2
nested, functions, advanced

Question 14

If ♡ = ÷, ◊ = × (standard order of operations applies), then evaluate: 3 ♡ 10 ◊ 11
Substituting symbols: 3 ÷ 10 × 11
Applying order of operations: = 0
arithmetic, basic

Question 15

Given matrices: A = [ 2 3] [ 1 2] B = [ 2 1] [ 5 1] Compute: A - B
Matrix subtraction:
A - B =

[ 0 2]
[-4 1]
matrix, advanced

Question 16

If g(x) = x - 4, then find g(1)
Substituting x = 1:
1 - 4 = -3
functions, substitution

Question 17

Given: A = {1, 3, 5, 10} B = {2, 4, 8, 9} C = {1, 4, 8, 10} Find: B − C
Difference of B and C:
{2, 4, 8, 9} − {1, 4, 8, 10} = {2, 9}
sets, operations

Question 18

If P = True, Q = False, and '<->' means IFF, then evaluate: P <-> Q
Logical operation: IFF
P=True, Q=False → IFF is True when both are same
Result: False
logic, boolean

Question 19

If k(x) = x + 7, then find k(9)
Substituting x = 9:
9 + 7 = 16
functions, substitution

Question 20

If '≠' means '≠', then determine: 13 ≠ 12
≠ = ≠
13 ≠ 12 is True
inequality, comparison
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