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    Algebra Problems

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    When solving a linear equation in one variable, the objective is to isolate the variable on one side of the equation. What does that mean? Give an example.

    1.
    Add.

    (9a3 + 3a2) + (5a3 + 6a2)

    A) 14a6 + 9a4
    B) 23a5
    C) 14a3 + 9a2
    D) 23a10

    2.
    Add.

    (-9 + 3n6 + 3n5) + (2n6 + 5n5 + 6)
    A) 5n6 + 8n5 - 3
    B) 10n11
    C) 5 + 8n6 - 3n5
    D) -7n6 + 8n5 + 9

    3.
    Add.

    (9 + 8x2 + 9x4 - 7x3) + (-2x3 + 2x2 + 2 + 5x4)
    A) 14x4 - 9x3 + 10x2 + 11
    B) 7x4 + 7x3 + 11x2 - 2
    C) 15x18 + 11
    D) 14x8 - 9x6 + 10x4 + 11

    4.
    Subtract.

    (-8a3 - 14a2) - (-14a3 - 18a2)
    A) 6a3 - 32a2
    B) -22a3 - 32a2
    C) 6a3 + 4a2
    D) 10a5

    5.
    Subtract.

    (8n7 + 2n6 + 17) - (5n6 + 5n7 + 15)
    A) 3n7 - 3n6 + 32
    B) 3n7 + 7n6 + 32
    C) 2n13
    D) 3n7 - 3n6 + 2

    6.
    Perform the indicated operations.

    (4x2 + 5) - (2x2 - 6) + ( 4x2 - 10x)
    A) 10x2 + 10x - 1
    B) 6x2 - 10x + 11
    C) 10x2 - 10x + 11
    D) 6x2 - 10x - 1

    7.
    Perform the indicated operations.

    (5s2 - 3s) - (2s2 - 7s) + ( 5s2 - 6)
    A) 8s2 + 4s - 6
    B) 8s2 -10s - 6
    C) 12 s2 -10s - 6
    D) 12 s2 + 4s - 6

    8.
    Multiply.

    (4m2)(5m4)
    A) 20m
    B) -20m6
    C) -20m
    D) 20m6

    9.
    Multiply.

    4(5x)
    A) 20
    B) 20x
    C) 9x
    D) 9

    10.

    Multiply.

    -12x(6x - 11)
    A) 60x2
    B) -72x2 + 132x
    C) 6x2 + 132x
    D) -72x2 - 11x

    11.
    Multiply.

    -8x5(11x3 + 6)
    A) -136x5
    B) -88x8 + 6
    C) -88x8 - 48x5
    D) -88x3 - 48

    12.
    Multiply.

    -8x2(-10x4 + 9x3)
    A) 8x2
    B) 8x6 + 8x5
    C) 80x6 - 72x5
    D) 80x6 + 9x3

    13.
    Multiply.

    (x + 6)(x - 6)
    A) x2 - 36
    B) x2 - 12x - 36
    C) x2 - 12
    D) x2 + 12x - 36

    14.
    Multiply.

    (2x - 7)(x - 4)
    A) x2 - 15x + 50
    B) x2 + 28x - 15
    C) 2x2 - 15x + 28
    D) 2x2 + 50x + 28

    15.
    Multiply.

    (2x + 9)(2x - 9)
    A) 4x2 - 36x - 81
    B) 2x2 - 36x - 81
    C) 4x2 + 36x - 81
    D) 4x2 - 81

    16.
    Factor.

    4x2 + 33x + 35
    A) (4x + 5)(x + 7)
    B) (x - 28)(x + 7)
    C) (x + 5)(x + 7)
    D) (4x - 28)(x + 7)

    17.
    Factor.

    4x2 - 25x - 56
    A) (x - 7)(x - 8)
    B) (x + 4)(x - 8)
    C) (7x + 4)(x - 8)
    D) (4x + 7)(x - 8)

    18.
    Factor.

    6x2 - 53x + 40
    A) (5 - 6x)(6x - 5)
    B) (x - 8)(6x - 5)
    C) (6x + 35)(6x - 5)
    D) (x + 8)(6x - 5)

    19.
    Factor.

    y2 - 64
    A) (y + 64)(y - 64)
    B) (y + 8)(y - 8)
    C) (y2 + 8)(y2 - 8)
    D) (y - 8)(y - 8)

    20.
    Factor.

    x2 + 16x + 64
    A) (x + 8)2
    B) (x + 8)(x - 8)
    C) (x - 8)2
    D) Prime

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