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Algebra

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

Expanding and factorizing algebraic expressions, including quadratic expressions

Subtopic

Expanding and factorizing algebraic expressions, including quadratic expressions under Algebra for Grade 9 IB.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    Factorize the quadratic expression x2+13x+40x^2 + 13x + 40.

    A.

    (x+1)(x+40)(x + 1)(x + 40)

    B.

    (x+2)(x+20)(x + 2)(x + 20)

    C.

    (x+4)(x+10)(x + 4)(x + 10)

    D.

    (x+5)(x+8)(x + 5)(x + 8)

  2. 2.

    Expand the expression 6(2x−3)6(2x - 3).

    A.

    12x−312x - 3

    B.

    8x−188x - 18

    C.

    12x−1812x - 18

    D.

    12x+1812x + 18

  3. 3.

    Factorize the quadratic expression x2−11x+18x^2 - 11x + 18.

    A.

    (x−2)(x−9)(x - 2)(x - 9)

    B.

    (x−3)(x−6)(x - 3)(x - 6)

    C.

    (x+2)(x+9)(x + 2)(x + 9)

    D.

    (x−1)(x−18)(x - 1)(x - 18)

Download the worksheet for Algebra - Expanding and factorizing algebraic expressions, including quadratic expressions to practice offline. It includes additional chapter-level practice questions.

Solving linear equations and inequalities

Subtopic

Solving linear equations and inequalities under Algebra for Grade 9 IB.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    Solve the inequality 3x+1≤103x + 1 \leq 10.

    A.

    x≤9x \leq 9

    B.

    x≤3x \leq 3

    C.

    x≥3x \geq 3

    D.

    x<3x < 3

  2. 2.

    Solve for xx: x−4=2\frac{x}{-4} = 2

    A.

    x=−8x = -8

    B.

    x=8x = 8

    C.

    x=−2x = -2

    D.

    x=−6x = -6

  3. 3.

    What is the value of xx in the equation 9x=09x = 0?

    A.

    x=9x = 9

    B.

    x=−9x = -9

    C.

    x=1x = 1

    D.

    x=0x = 0

Download the worksheet for Algebra - Solving linear equations and inequalities to practice offline. It includes additional chapter-level practice questions.

Solving systems of linear equations simultaneously

Subtopic

Solving systems of linear equations simultaneously under Algebra for Grade 9 IB.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    What is the solution to 2x+2y=102x + 2y = 10 and x−y=1x - y = 1?

    A.

    (3,2)(3, 2)

    B.

    (2,3)(2, 3)

    C.

    (4,1)(4, 1)

    D.

    (1,4)(1, 4)

  2. 2.

    Solve the system: 3x+y=73x + y = 7 and x−y=1x - y = 1.

    A.

    (1,0)(1, 0)

    B.

    (3,−2)(3, -2)

    C.

    (2,1)(2, 1)

    D.

    (0,7)(0, 7)

  3. 3.

    If the sum of two variables is 1313 and their difference is 11, find the variables.

    A.

    66 and 77

    B.

    88 and 55

    C.

    77 and 66

    D.

    99 and 44

Download the worksheet for Algebra - Solving systems of linear equations simultaneously to practice offline. It includes additional chapter-level practice questions.

Functions: domain, range, and notation

Subtopic

Functions: domain, range, and notation under Algebra for Grade 9 IB.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    If f(x)=3x−10f(x) = 3x - 10, find f(10)f(10).

    A.

    3030

    B.

    4040

    C.

    2020

    D.

    00

  2. 2.

    Evaluate g(5)g(5) given g(x)=50xg(x) = \frac{50}{x}.

    A.

    250250

    B.

    1010

    C.

    55

    D.

    4545

  3. 3.

    What is the range of the constant function f(x)=5f(x) = 5 for any domain?

    A.

    All real numbers

    B.

    {5}\{5\}

    C.

    {0,5}\{0, 5\}

    D.

    {x}\{x\}

Download the worksheet for Algebra - Functions: domain, range, and notation to practice offline. It includes additional chapter-level practice questions.

Graphing linear and quadratic functions

Subtopic

Graphing linear and quadratic functions under Algebra for Grade 9 IB.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    Which point lies on the graph of y=x2−1y = x^2 - 1?

    A.

    (1, 0)

    B.

    (0, 1)

    C.

    (1, 1)

    D.

    (2, 2)

  2. 2.

    In the standard form of a quadratic y=ax2+bx+cy = ax^2 + bx + c, the value of cc represents the:

    A.

    xx-intercept

    B.

    yy-intercept

    C.

    Gradient

    D.

    Axis of symmetry

  3. 3.

    Find the yy-intercept of y=x2+3xy = x^2 + 3x.

    A.

    3

    B.

    0

    C.

    1

    D.

    -3

Download the worksheet for Algebra - Graphing linear and quadratic functions to practice offline. It includes additional chapter-level practice questions.

Solving quadratic equations by factoring and using the quadratic formula

Subtopic

Solving quadratic equations by factoring and using the quadratic formula under Algebra for Grade 9 IB.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    Solve x2+7x+6=0x^2 + 7x + 6 = 0 by factoring.

    A.

    x=6,1x = 6, 1

    B.

    x=−6,1x = -6, 1

    C.

    x=−6,−1x = -6, -1

    D.

    x=6,−1x = 6, -1

  2. 2.

    Solve x2−121=0x^2 - 121 = 0.

    A.

    x=11,−11x = 11, -11

    B.

    x=11x = 11 only

    C.

    x=12.1,−12.1x = 12.1, -12.1

    D.

    x=0,121x = 0, 121

  3. 3.

    Solve the equation x2+10x+24=0x^2 + 10x + 24 = 0.

    A.

    x=−6,−4x = -6, -4

    B.

    x=6,4x = 6, 4

    C.

    x=−6,4x = -6, 4

    D.

    x=6,−4x = 6, -4

Download the worksheet for Algebra - Solving quadratic equations by factoring and using the quadratic formula to practice offline. It includes additional chapter-level practice questions.