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HSPT Math Practice Test

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If x = 3, what is the value of 2x² + 4?
Correct Answer:
22
Explanation:
To find the value of the expression \( 2x^2 + 4 \) when \( x = 3 \), you first substitute the value of \( x \) into the expression. Starting with the substitution: \[ x = 3 \] Now, you insert this value into the expression: \[ 2x^2 + 4 = 2(3)^2 + 4 \] Next, calculate \( (3)^2 \): \[ (3)^2 = 9 \] Now substitute that back into the expression: \[ 2(9) + 4 \] Multiply \( 2 \) by \( 9 \): \[ 18 + 4 \] Finally, add \( 18 \) and \( 4 \): \[ 18 + 4 = 22 \] Thus, the value of \( 2x^2 + 4 \) when \( x = 3 \) is \( 22 \), making the answer consistent with the calculation.

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