High School Algebra Fundamentals

Algebra

A collection of curriculum-aligned questions covering fundamental algebraic concepts such as functions, quadratics, and exponents.

mathematics secondary school algebra

20 Questions Medium Ages 14+ Aug 24, 2026

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About this Study Set

This study set covers Algebra through 20 practice questions. A collection of curriculum-aligned questions covering fundamental algebraic concepts such as functions, quadratics, and exponents. 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 What is the discriminant of a quadratic equation ax^2 + bx + c = 0?

A b^2 - 4ac
B b^2 + 4ac
C sqrt(b^2 - 4ac)
D -b +/- sqrt(b^2 - 4ac)

2 Which of the following represents the factorised form of x^2 - 9?

A (x-3)(x-3)
B (x+3)(x-3)
C (x+9)(x-1)
D (x-9)(x+1)

3 For a function f(x) = 2x + 5, what is the value of f(3)?

A 8
B 10
C 11
D 13

4 What is the slope of the line represented by the equation y = -3x + 4?

A 4
B 3
C -3
D -4

5 What is the simplified form of (x^3)^2?

A x^5
B x^6
C x^9
D 2x^3

6 What is the solution for x in the equation 2x + 7 = 15?

A x = 3
B x = 4
C x = 8
D x = 11

7 Which term describes the point where a graph crosses the y-axis?

A x-intercept
B Gradient
C y-intercept
D Asymptote

8 What is the result of x^5 divided by x^2?

A x^3
B x^7
C x^10
D x^2.5

9 The expression x^0 is equal to which value for x ≠ 0?

A 0
B 1
C x
D undefined

10 What are the roots of the equation x^2 - 5x + 6 = 0?

A 2 and 3
B -2 and -3
C 1 and 6
D -1 and -6

11 Which of the following is a binomial expression?

A 3x
B x^2 + 2x + 1
C 5x - 4
D x^3

12 What is the expansion of (x + 2)^2?

A x^2 + 4
B x^2 + 2x + 4
C x^2 + 4x + 2
D x^2 + 4x + 4

13 If a line is parallel to y = 2x + 1, what must its slope be?

A -2
B 1
C 2
D -0.5

14 What is the degree of the polynomial 4x^3 - 2x^2 + 7?

15 The process of expressing a polynomial as a product of its simpler factors is called:

A Expansion
B Simplification
C Factorisation
D Differentiation

16 Which identity represents the difference of two cubes a^3 - b^3?

A (a-b)(a^2+ab+b^2)
B (a-b)(a^2-ab+b^2)
C (a+b)(a^2-ab+b^2)
D (a-b)^3

17 What is the value of 2^-1?

A -2
B 0.5
C 1
D 2

18 A vertical line has an undefined:

A y-intercept
B x-intercept
C Slope
D Constant

19 In the equation y = mx + c, what does 'c' represent?

A Slope
B Rate of change
C y-intercept
D Variable

20 What is the sum of the angles in a triangle, often solved using algebraic substitution?

A 90 degrees
B 180 degrees
C 270 degrees
D 360 degrees

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