Question: If x = 3, what is the value of 2x^2 + 3x - 5?
Options:
10
12
14
16
Correct Answer: 12
Solution:
Substituting x = 3 into the expression: 2(3^2) + 3(3) - 5 = 2(9) + 9 - 5 = 18 + 9 - 5 = 22.
If x = 3, what is the value of 2x^2 + 3x - 5?
Practice Questions
Q1
If x = 3, what is the value of 2x^2 + 3x - 5?
10
12
14
16
Questions & Step-by-Step Solutions
If x = 3, what is the value of 2x^2 + 3x - 5?
Step 1: Start with the expression 2x^2 + 3x - 5.
Step 2: Substitute x = 3 into the expression. This means wherever you see x, you replace it with 3.
Step 3: The expression now looks like this: 2(3^2) + 3(3) - 5.
Step 4: Calculate 3^2, which is 9. So now the expression is 2(9) + 3(3) - 5.
Step 5: Now calculate 2(9), which is 18. The expression is now 18 + 3(3) - 5.
Step 6: Calculate 3(3), which is 9. The expression is now 18 + 9 - 5.
Step 7: Now add 18 and 9, which gives you 27. The expression is now 27 - 5.
Step 8: Finally, subtract 5 from 27, which gives you 22.
Algebraic Expression Evaluation – The question tests the ability to substitute a value into an algebraic expression and perform arithmetic operations correctly.
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