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Algebra

Each subtopic includes About section, revision page link, 10 preview questions, and practice CTAs.

Algebraic Representation and Formulae

Subtopic

Algebraic Representation and Formulae under Algebra for Grade 9 IGCSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    Expand the following expression: 4(2x−3)4(2x - 3).

    A.

    8x−128x - 12

    B.

    8x−38x - 3

    C.

    6x−126x - 12

    D.

    8x+128x + 12

  2. 2.

    A rectangle has a length of ll and a width of ww. Which of the following represents the perimeter PP of the rectangle?

    A.

    P=lwP = lw

    B.

    P=2(l+w)P = 2(l + w)

    C.

    P=l+wP = l + w

    D.

    P=2lwP = 2lw

  3. 3.

    The formula for the velocity of an object is given by v=u+atv = u + at. Find the value of vv when u=5u = 5, a=2a = 2, and t=3t = 3.

    A.

    10

    B.

    11

    C.

    13

    D.

    21

Download the worksheet for Algebra - Algebraic Representation and Formulae to practice offline. It includes additional chapter-level practice questions.

Expansion and Factorisation

Subtopic

Expansion and Factorisation under Algebra for Grade 9 IGCSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    Factorise: m2−mm^2 - m

    A.

    m(m−1)m(m - 1)

    B.

    m(m−0)m(m - 0)

    C.

    m(1−m)m(1 - m)

    D.

    m2(1−1)m^2(1 - 1)

  2. 2.

    Expand: x2(x+1)x^2(x + 1)

    A.

    x3+x2x^3 + x^2

    B.

    x2+xx^2 + x

    C.

    2x2+12x^2 + 1

    D.

    x3+1x^3 + 1

  3. 3.

    Factorise: x2−100x^2 - 100

    A.

    (x−10)(x+10)(x - 10)(x + 10)

    B.

    (x−10)(x−10)(x - 10)(x - 10)

    C.

    (x−50)(x+50)(x - 50)(x + 50)

    D.

    (x+10)(x+10)(x + 10)(x + 10)

Download the worksheet for Algebra - Expansion and Factorisation to practice offline. It includes additional chapter-level practice questions.

Linear and Quadratic Equations

Subtopic

Linear and Quadratic Equations under Algebra for Grade 9 IGCSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    Solve x+3=−2x + 3 = -2.

    A.

    x=5x = 5

    B.

    x=1x = 1

    C.

    x=−5x = -5

    D.

    x=−1x = -1

  2. 2.

    Factorize x2−9x+20x^2 - 9x + 20.

    A.

    (x−4)(x−5)(x-4)(x-5)

    B.

    (x+4)(x+5)(x+4)(x+5)

    C.

    (x−2)(x−10)(x-2)(x-10)

    D.

    (x−1)(x−20)(x-1)(x-20)

  3. 3.

    What are the solutions for x2−25=0x^2 - 25 = 0?

    A.

    x=5x = 5

    B.

    x=−5,5x = -5, 5

    C.

    x=0,5x = 0, 5

    D.

    x=25,−25x = 25, -25

Download the worksheet for Algebra - Linear and Quadratic Equations to practice offline. It includes additional chapter-level practice questions.

Simultaneous Equations

Subtopic

Simultaneous Equations under Algebra for Grade 9 IGCSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    If y=3xy = 3x and x+y=12x + y = 12, find yy.

    A.

    y=9y = 9

    B.

    y=3y = 3

    C.

    y=6y = 6

    D.

    y=12y = 12

  2. 2.

    Solve the equations 2x+y=142x + y = 14 and x+y=10x + y = 10.

    A.

    x=3,y=7x = 3, y = 7

    B.

    x=5,y=5x = 5, y = 5

    C.

    x=2,y=8x = 2, y = 8

    D.

    x=4,y=6x = 4, y = 6

  3. 3.

    Solve for xx and yy: x−y=7x - y = 7 and x+y=13x + y = 13.

    A.

    x=9,y=2x = 9, y = 2

    B.

    x=11,y=4x = 11, y = 4

    C.

    x=10,y=3x = 10, y = 3

    D.

    x=12,y=5x = 12, y = 5

Download the worksheet for Algebra - Simultaneous Equations to practice offline. It includes additional chapter-level practice questions.

Linear Inequalities

Subtopic

Linear Inequalities under Algebra for Grade 9 IGCSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    Solve the inequality: 5x≤05x \le 0.

    A.

    x≤5x \le 5

    B.

    x≤0x \le 0

    C.

    x<0x < 0

    D.

    x≥0x \ge 0

  2. 2.

    Solve: x−10>−12x - 10 > -12.

    A.

    x>−2x > -2

    B.

    x<−2x < -2

    C.

    x>−22x > -22

    D.

    x>2x > 2

  3. 3.

    Solve the inequality: 2x+3≤132x + 3 \le 13.

    A.

    x≤5x \le 5

    B.

    x<5x < 5

    C.

    x≤8x \le 8

    D.

    x≥5x \ge 5

Download the worksheet for Algebra - Linear Inequalities to practice offline. It includes additional chapter-level practice questions.

Sequences and General Terms

Subtopic

Sequences and General Terms under Algebra for Grade 9 IGCSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    What is the next term in the sequence: 1000,100,10,1,…1000, 100, 10, 1, \dots?

    A.

    0

    B.

    −10-10

    C.

    0.1

    D.

    0.01

  2. 2.

    Find the expression for the nthn^{th} term of: 3,8,13,18,…3, 8, 13, 18, \dots

    A.

    5n−25n - 2

    B.

    5n+35n + 3

    C.

    3n+53n + 5

    D.

    n+5n + 5

  3. 3.

    Calculate the first term of the sequence un=2n+100u_n = 2n + 100.

    A.

    100

    B.

    2

    C.

    102

    D.

    200

Download the worksheet for Algebra - Sequences and General Terms to practice offline. It includes additional chapter-level practice questions.

Algebraic Fractions

Subtopic

Algebraic Fractions under Algebra for Grade 9 IGCSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    Simplify the expression: y+y2\frac{y + y}{2}

    A.

    y2y^2

    B.

    2y2y

    C.

    yy

    D.

    y2\frac{y}{2}

  2. 2.

    Simplify: 5x2x\frac{5x^2}{x}

    A.

    5x25x^2

    B.

    55

    C.

    5x5x

    D.

    xx

  3. 3.

    Simplify the division: xy÷1y\frac{x}{y} \div \frac{1}{y}

    A.

    xx

    B.

    xy2\frac{x}{y^2}

    C.

    1x\frac{1}{x}

    D.

    xyxy

Download the worksheet for Algebra - Algebraic Fractions to practice offline. It includes additional chapter-level practice questions.

Algebra - IGCSE Grade 9 Maths Notes & Revision | Krit.club