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Algebra

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

Algebraic Expressions and Identities

Subtopic

Algebraic Expressions and Identities under Algebra for Grade 8 IB.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    Factorize 8b208b - 20.

    A.

    4(2b - 5)

    B.

    2(4b - 10)

    C.

    8(b - 2.5)

    D.

    4(2b + 5)

  2. 2.

    Simplify the expression 7+3x+27 + 3x + 2.

    A.

    12x

    B.

    5x + 7

    C.

    3x + 9

    D.

    10x + 2

  3. 3.

    Expand 2(43x)-2(4 - 3x).

    A.

    -8 - 6x

    B.

    -8 + 6x

    C.

    8 - 6x

    D.

    6x - 4

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

Addition, Subtraction, and Multiplication of Polynomials

Subtopic

Addition, Subtraction, and Multiplication of Polynomials under Algebra for Grade 8 IB.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    Expand the expression: 4c(c+d)4c(c + d)

    A.

    4c2+d4c^2 + d

    B.

    4c2+4cd4c^2 + 4cd

    C.

    4c+4d4c + 4d

    D.

    8c+d8c + d

  2. 2.

    Simplify: z(5z)z(5 - z)

    A.

    5z2z5z - 2z

    B.

    5z25 - z^2

    C.

    5zz25z - z^2

    D.

    4z4z

  3. 3.

    Expand: 2(w2+w+3)2(w^2 + w + 3)

    A.

    2w2+2w+62w^2 + 2w + 6

    B.

    2w2+w+32w^2 + w + 3

    C.

    2w2+2w+32w^2 + 2w + 3

    D.

    2w2+w+62w^2 + w + 6

Download the worksheet for Algebra - Addition, Subtraction, and Multiplication of Polynomials to practice offline. It includes additional chapter-level practice questions.

Factorization of Algebraic Expressions

Subtopic

Factorization of Algebraic Expressions under Algebra for Grade 8 IB.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    Factorize 5p220p5p^2 - 20p completely.

    A.

    5p(p4)5p(p - 4)

    B.

    5(p24p)5(p^2 - 4p)

    C.

    p(5p20)p(5p - 20)

    D.

    5p(p20)5p(p - 20)

  2. 2.

    Factorize the expression m2+m12m^2 + m - 12.

    A.

    (m+4)(m3)(m + 4)(m - 3)

    B.

    (m4)(m+3)(m - 4)(m + 3)

    C.

    (m+6)(m2)(m + 6)(m - 2)

    D.

    (m6)(m+2)(m - 6)(m + 2)

  3. 3.

    What is the factorized form of x2900x^2 - 900?

    A.

    (x30)(x+30)(x - 30)(x + 30)

    B.

    (x30)2(x - 30)^2

    C.

    (x450)(x+450)(x - 450)(x + 450)

    D.

    (x3)(x+300)(x - 3)(x + 300)

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

Solving Linear Equations in One Variable

Subtopic

Solving Linear Equations in One Variable under Algebra for Grade 8 IB.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    Determine the value of aa if a+25=0a + 25 = 0.

    A.

    a=25a = 25

    B.

    a=0a = 0

    C.

    a=25a = -25

    D.

    a=50a = 50

  2. 2.

    Solve the equation: 50=2x+1050 = 2x + 10.

    A.

    x=20x = 20

    B.

    x=30x = 30

    C.

    x=25x = 25

    D.

    x=40x = 40

  3. 3.

    Calculate the value of ss in the equation s10=0.1\frac{s}{10} = 0.1.

    A.

    s=1s = 1

    B.

    s=0.01s = 0.01

    C.

    s=10s = 10

    D.

    s=0s = 0

Download the worksheet for Algebra - Solving Linear Equations in One Variable to practice offline. It includes additional chapter-level practice questions.

Introduction to Linear Graphs and the Cartesian Plane

Subtopic

Introduction to Linear Graphs and the Cartesian Plane under Algebra for Grade 8 IB.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    What is the gradient of a line that passes through the points (0,5)(0, 5) and (1,5)(1, 5)?

    A.

    00

    B.

    11

    C.

    55

    D.

    Undefined

  2. 2.

    If you start at (4,4)(4, 4) and move 55 units vertically downwards, what is the new position?

    A.

    (4,9)(4, 9)

    B.

    (1,4)(-1, 4)

    C.

    (4,1)(4, -1)

    D.

    (9,4)(9, 4)

  3. 3.

    Which point in Quadrant II is exactly 33 units from both the xx-axis and the yy-axis?

    A.

    (3,3)(3, 3)

    B.

    (3,3)(-3, -3)

    C.

    (3,3)(3, -3)

    D.

    (3,3)(-3, 3)

Download the worksheet for Algebra - Introduction to Linear Graphs and the Cartesian Plane to practice offline. It includes additional chapter-level practice questions.