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Fundamental Algebraic Concepts

Algebra

A collection of core algebraic principles and history.

mathematics algebra education

12 Questions Medium Ages 12+ Jul 16, 2026

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About this Study Set

This study set covers Algebra through 12 practice questions. A collection of core algebraic principles and history. Every question includes the correct answer so you can learn as you go — pick any format above to get started.

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1 Which term is used to describe a mathematical expression consisting of two terms connected by a plus or minus sign?

A Monomial
B Binomial
C Trinomial
D Polynomial

2 In the algebraic equation 5x + 3 = 18, what is the value of x?

3 Who is widely considered the 'father of algebra' for his 9th-century work 'Al-Kitab al-Mukhtasar fi Hisab al-Jabr wal-Muqabala'?

A Al-Khwarizmi
B Euclid
C Pythagoras
D Isaac Newton

4 What is the standard form of a quadratic equation?

A ax + b = 0
B ax^2 + bx + c = 0
C y = mx + b
D a^2 + b^2 = c^2

5 When multiplying two terms with the same base, such as x^a * x^b, what do you do with the exponents?

A Subtract them
B Divide them
C Add them
D Multiply them

6 What is the result of any non-zero number raised to the power of zero?

A The number itself
B Zero
C One
D Undefined

7 Which of the following is the correct representation of the slope-intercept form of a linear equation?

A ax + by = c
B y = mx + b
C x = ay + b
D y - y1 = m(x - x1)

8 In the expression 4x^3, what is the '4' called?

A Exponent
B Variable
C Coefficient
D Base

9 Which property states that a(b + c) = ab + ac?

A Commutative Property
B Associative Property
C Distributive Property
D Identity Property

10 What is the square root of 144?

A 10
B 11
C 12
D 14

11 What do you call a letter or symbol used to represent an unknown value in an algebraic expression?

A Constant
B Coefficient
C Variable
D Exponent

12 If a = 5 and b = 2, what is the value of a^2 - b^2?

A 21
B 25
C 9
D 10

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