Practice Evaluation in Math

Use these practice problems to test your method after reviewing the concept explanation and worked examples.

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Quick Recap

The process of calculating the numerical value of a mathematical expression by substituting specific numbers for each variable and then performing the indicated operations following the order of operations (PEMDAS/BODMAS).

Plug in the number and compute: if x=3x = 3, then 2x+1=2(3)+1=72x + 1 = 2(3) + 1 = 7.

Showing a random 20 of 50 problems.

Example 1

medium
Evaluate 3xy−x23xy - x^2 at x=2, y=5x = 2,\ y = 5.

Example 2

easy
If y=3x−8y = 3x - 8, what is yy when x=4x = 4?

Example 3

easy
Evaluate −x−4-x - 4 at x=−6x = -6.

Example 4

easy
Evaluate 3a−2b3a-2b at a=4, b=1a=4,\ b=1.

Example 5

challenge
If f(x)=ax+bf(x) = ax + b and f(1)=5f(1) = 5, f(3)=11f(3) = 11, find f(10)f(10).

Example 6

medium
Evaluate x2+2xx−1\frac{x^2 + 2x}{x - 1} at x=3x = 3.

Example 7

easy
Evaluate 7x+27x + 2 at x=5x = 5.

Example 8

hard
Evaluate f(x+h)−f(x)f(x+h) - f(x) for f(x)=x2f(x) = x^2, then divide by hh.

Example 9

challenge
Given f(x)=x2+bx+cf(x) = x^2 + bx + c with f(0)=4f(0) = 4 and f(1)=9f(1) = 9, evaluate f(−2)f(-2).

Example 10

medium
Evaluate 3(x−2)2+43(x-2)^2+4 at x=5x=5.

Example 11

medium
If C=59(F−32)C=\frac{5}{9}(F-32), evaluate CC at F=212F=212.

Example 12

medium
Evaluate f(g(x))f(g(x)) at x=2x = 2 when f(x)=x+3f(x) = x + 3 and g(x)=x2g(x) = x^2.

Example 13

easy
Evaluate 5x−35x - 3 when x=4x = 4.

Example 14

medium
Evaluate x2+9\sqrt{x^2+9} at x=4x=4.

Example 15

medium
Evaluate 5x−2y+15x - 2y + 1 at x=3, y=−2x = 3,\ y = -2.

Example 16

easy
Evaluate 4+x4+x at x=−7x=-7.

Example 17

medium
Evaluate 2x3−x+42x^3 - x + 4 at x=−1x = -1.

Example 18

challenge
Evaluate the sum ∑k=14(k2−k)\sum_{k=1}^{4} (k^2 - k).

Example 19

medium
Evaluate x2−5x+6x^2-5x+6 at x=2x=2.

Example 20

easy
Evaluate x+62\frac{x+6}{2} at x=4x=4.
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