Free Compass Math Practice on Substituting
Values Into Algebraic Expressions - Sample 11

A set of questions, with answers, on substituting variable by values into algebraic expressions. These questions are similar to those in the compass math test. The answers to the questions are at the bottom of the page and the solutions with full explanations to these questions are also included.

  1. What is the value of 2(x3 - y2) + 2(x3 + y2) for x = 2 and y = -4?

    A) - 32
    B) 32
    C) 34
    D) -34
    E) 35

  2. If x = 3, what is the value of 6 / x + 4x - 20?

    A) 6
    B) 2
    C) - 6
    D) 14
    E) - 34

  3. The surface area A of a cylindrical container is given by the formula

    A = 2 pi r2 + 2 pi r h


    where r is the radius, h is the height of the container and pi is a constant which can be approximated by 3.14. Which of the values below is closest to the area of a container whose radius is 10 cm and its height 5 cm? A) 628
    B) 1256
    C) 314
    D) 3140
    E) 942

  4. If x = - 2 and y = 3, what is the value of - x- y?

    A) 1 / 8
    B) - 1 / 8
    C) 8
    D) - 8
    E) - 6

  5. If y = -3, what is the value of (y3 - 3) / (- y + 3)?

    A) 5
    B) 10
    C) 6
    D) - 5
    E) - 6

  6. What is the value of 3 x3 - 2 x2 + 2 for x = - 2?

    A) 20
    B) - 20
    C) 30
    D) - 30
    E) 60

  7. If x = 2.7, what is the value of x + 0.75(x - 1.5) + 1.2?

    A) 4.8
    B) 7.2
    C) 6.1
    D) 6.2
    E) 6.3

  8. If x = - 0.07 and y = 1.2, what is the value of x y - 0.2 (y - x)?

    A) 0.338
    B) - 0.338
    C) 0.3
    D) - 0.3
    E) 0.338

  9. At normal resting heart rates, the mean arterial pressure MAP can be approximated by the simple formula

    MAP = DP + (1/3)( SP - DP )


    where DP is the diastolic pressure and SP systolic pressure. Find the mean arterial pressure MAP, rounded to the nearest unit, for a person with systolic pressure SP of 101 mmHg and a diastolic pressure DP of 72 mmHg.

    A) 85
    B) 100
    C) 90
    D) 80
    E) 82

  10. What is the value of 3 / (x - 4 y) + 2 / (0.5 x + 8 y) for x = - 2 and y = - 0.25?

    A) 11 / 3
    B) 3 / 11
    C) - 3 / 11
    D) - 11/3
    E) 3

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