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Symbol Notation - Beginner-Intermediate Level: notation decoding BEGINNER-INTERMEDIATE

Comprehensive race against clock worksheet covering 20 beginner-intermediate-level symbol notation problems. Worksheet 8 of 30 emphasizes notation decoding. Master symbolic logic, notation puzzles, symbol interpretation through detailed explanations. Difficulty: building on fundamentals with moderate challenges. Tailored for developing preparation.

📝 Worksheet 8 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Beginner-intermediate level

What you'll learn in this worksheet:
Your progress through Symbol Notation
Worksheet 8 of 30 (26% complete)

Question 1

In the notation system where ☾ means x/3, what is the value of ☾(7)?
Applying ☾ to 7:
7/3 = 2.33
complex, systems

Question 2

If '≈' means '≈', then determine: 15 ≈ 1
≈ = ≈
15 ≈ 1 (approximately equal) is False
inequality, comparison

Question 3

Given: A = {4, 8, 9} B = {1, 2, 7, 9, 10} C = {1, 3, 5, 6, 8, 9} Find: B ∪ C
Union of B and C:
{1, 2, 7, 9, 10} ∪ {1, 3, 5, 6, 8, 9} = {1, 2, 3, 5, 6, 7, 8, 9, 10}
sets, operations

Question 4

If h(x) = x + 10, then find h(6)
Substituting x = 6:
6 + 10 = 16
functions, substitution

Question 5

If P = True, Q = False, and '|' means OR, then evaluate: P | Q
Logical operation: OR
P=True, Q=False → OR gives True if at least one is True
Result: True
logic, boolean

Question 6

Given matrices: A = [ 3 5] [ 3 1] B = [ 3 2] [ 5 3] Compute: A + B
Matrix addition:
A + B =

[ 6 7]
[ 8 4]
matrix, advanced

Question 7

Given: A = {3, 5, 6, 7, 9, 10} B = {1, 6, 9, 10} C = {1, 5, 6, 7, 8, 9} Find: C ∪ A
Union of C and A:
{1, 5, 6, 7, 8, 9} ∪ {3, 5, 6, 7, 9, 10} = {1, 3, 5, 6, 7, 8, 9, 10}
sets, operations

Question 8

In the notation system where ♥ means 3x, what is the value of ♥(7)?
Applying ♥ to 7:
37 = 37
complex, systems

Question 9

If '≺' means '<', then determine: 11 ≺ 7
≺ = <
11 < 7 is False
inequality, comparison

Question 10

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: p(h(3))
Evaluate from innermost outward:
p(h(3))
= 6
nested, functions, advanced

Question 11

If f(x) = x + 3, then find f(3)
Substituting x = 3:
3 + 3 = 6
functions, substitution

Question 12

If P = False, Q = True, and '&' means AND, then evaluate: P & Q
Logical operation: AND
P=False, Q=True → AND gives True only if both True
Result: False
logic, boolean

Question 13

If g(x) = x² + 1, then find g(2)
Substituting x = 2:
2² + 1 = 5
functions, substitution

Question 14

If P = True, Q = False, and 'xor' means XOR, then evaluate: P xor Q
Logical operation: XOR
P=True, Q=False → XOR is True when inputs differ
Result: True
logic, boolean

Question 15

Given matrices: A = [ 5 4] [ 5 4] B = [ 1 4] [ 5 1] Compute: A + B
Matrix addition:
A + B =

[ 6 8]
[10 5]
matrix, advanced

Question 16

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: h(r(3))
Evaluate from innermost outward:
h(r(3))
= 1024
nested, functions, advanced

Question 17

If ◇ = ÷, ★ = + (standard order of operations applies), then evaluate: 11 ◇ 3 ★ 7
Substituting symbols: 11 ÷ 3 + 7
Applying order of operations: = 10
arithmetic, basic

Question 18

If '≼' means '≤', then determine: 19 ≼ 13
≼ = ≤
19 ≤ 13 is False
inequality, comparison

Question 19

In the notation system where ☆ means x², what is the value of ☆(6)?
Applying ☆ to 6:
6² = 36
complex, systems

Question 20

If '≻' means '>', then determine: 5 ≻ 16
≻ = >
5 > 16 is False
inequality, comparison
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