Algebra Practice Test

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If F(x) = x² + 5x and G(x) = 2x + 1, what is F(5) + G(6)?

The correct answer is: 63

To solve for $ F(5) + G(6) $, we first need to calculate $ F(5) $ and $ G(6) $ separately using the given functions. Starting with $ F(x) = x^2 + 5x $, we substitute $ x = 5 $: \[ F(5) = 5^2 + 5(5) \] \[ = 25 + 25 \] \[ = 50 \] Next, we calculate $ G(x) = 2x + 1 $ with $ x = 6 $: \[ G(6) = 2(6) + 1 \] \[ = 12 + 1 \] \[ = 13 \] Now, we add the results from $ F(5) $ and $ G(6) $: \[ F(5) + G(6) = 50 + 13 \] \[ = 63 \] Thus, the correct answer is 63. The calculations reflect the application of the quadratic and linear function rules, leading to a straightforward evaluation of the expressions based on critical substitution