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Symbol Notation - Beginner Level: notation systems BEGINNER

Boost your speed and accuracy with this beginner friendly 📈 worksheet. Worksheet 5 of 30 presents 20 beginner-level symbol notation problems. Focus on notation systems while practicing notation systems, symbol relationships, logical symbols. Difficulty: foundational concepts and basic patterns. Perfect for entry-level test takers.

📝 Worksheet 5 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Beginner level

What you'll learn in this worksheet:
Your progress through Symbol Notation
Worksheet 5 of 30 (16% complete)

Question 1

Given: A = {1, 7, 9} B = {1, 3, 6, 9, 10} C = {1, 3, 4, 7, 10} Find: C − A
Difference of C and A:
{1, 3, 4, 7, 10} − {1, 7, 9} = {3, 4, 10}
sets, operations

Question 2

If P = False, Q = False, and 'nor' means NOR, then evaluate: P nor Q
Logical operation: NOR
P=False, Q=False → NOR is True only when both are False
Result: True
logic, boolean

Question 3

In the notation system where ♠ means x - 3, what is the value of ♠(3)?
Applying ♠ to 3:
3 - 3 = 0
complex, systems

Question 4

Given matrices: A = [ 2 4] [ 1 4] B = [ 4 1] [ 3 3] Compute: A + B
Matrix addition:
A + B =

[ 6 5]
[ 4 7]
matrix, advanced

Question 5

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: r(f(2))
Evaluate from innermost outward:
r(f(2))
= 33
nested, functions, advanced

Question 6

Given matrices: A = [ 1 2] [ 3 1] B = [ 5 2] [ 4 2] Compute: A + B
Matrix addition:
A + B =

[ 6 4]
[ 7 3]
matrix, advanced

Question 7

If '≺' means '<', then determine: 4 ≺ 15
≺ = <
4 < 15 is True
inequality, comparison

Question 8

Given: A = {1, 7, 8, 10} B = {6, 7, 10} C = {2, 5, 6, 7} Find: B △ A
Symmetric Difference of B and A:
{6, 7, 10} △ {1, 7, 8, 10} = {1, 6, 8}
sets, operations

Question 9

Given matrices: A = [ 1 4] [ 5 5] B = [ 4 3] [ 3 4] Compute: A - B
Matrix subtraction:
A - B =

[-3 1]
[ 2 1]
matrix, advanced

Question 10

If ♧ = ×, ♢ = + (standard order of operations applies), then evaluate: 13 ♧ 9 ♢ 5
Substituting symbols: 13 × 9 + 5
Applying order of operations: = 122
arithmetic, basic

Question 11

In the notation system where ☽ means x - 5, what is the value of ☽(8)?
Applying ☽ to 8:
8 - 5 = 3
complex, systems

Question 12

If ⊕ = +, ♧ = × (standard order of operations applies), then evaluate: 8 ⊕ 13 ♧ 5
Substituting symbols: 8 + 13 × 5
Applying order of operations: = 73
arithmetic, basic

Question 13

In the notation system where ▲ means 4x, what is the value of ▲(4)?
Applying ▲ to 4:
44 = 44
complex, systems

Question 14

Given matrices: A = [ 4 1] [ 4 5] B = [ 1 4] [ 3 4] Compute: A - B
Matrix subtraction:
A - B =

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

Question 15

If '≻' means '>', then determine: 9 ≻ 1
≻ = >
9 > 1 is True
inequality, comparison

Question 16

If f(x) = 2x + 1, then find f(9)
Substituting x = 9:
29 + 1 = 30
functions, substitution

Question 17

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: g(h(q(2)))
Evaluate from innermost outward:
g(h(q(2)))
= 21
nested, functions, advanced

Question 18

If '≻' means '>', then determine: 12 ≻ 2
≻ = >
12 > 2 is True
inequality, comparison

Question 19

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: f(g(4))
Evaluate from innermost outward:
f(g(4))
= 26
nested, functions, advanced

Question 20

Given: A = {2, 4, 6, 9, 10} B = {1, 4, 5, 8} C = {1, 2, 3, 4, 6, 8} Find: B △ A
Symmetric Difference of B and A:
{1, 4, 5, 8} △ {2, 4, 6, 9, 10} = {1, 2, 5, 6, 8, 9, 10}
sets, operations
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