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Quizzes > High School Quizzes > Electives

Algebra 1 Evaluating Functions Practice Quiz

Master linear functions and transformation worksheets today

Difficulty: Moderate
Grade: Grade 9
Study OutcomesCheat Sheet
Colorful paper art promoting Function Evaluation Fun quiz for high school algebra students.

Evaluate the function f(x) = 2x + 3 when x = 4.
11
10
9
12
Substituting x = 4 into f(x) results in 2(4) + 3, which equals 11. This straightforward calculation confirms the correct answer.
Evaluate the function g(x) = x² - 5 when x = 3.
7
3
5
4
By substituting x = 3, g(3) becomes 3² - 5, which calculates as 9 - 5 = 4. This simple evaluation confirms the correct result.
Find the value of h(x) = x - 6 when x = 10.
10
4
16
6
Substituting x = 10 into the function h(x) gives 10 - 6 = 4. This direct subtraction confirms that 4 is the correct answer.
Evaluate the function f(x) = 5x when x = 2.
12
10
7
8
Replacing x with 2 in the function f(x) = 5x results in 5 × 2 = 10. The multiplication confirms that 10 is the correct value.
Determine the value of f(x) = x² for x = -3.
9
-9
6
3
Even though x is negative, the square of -3 is 9 because (-3)² = 9. This confirms that 9 is the correct evaluation.
Evaluate the function f(x) = 3x² - 2x + 1 for x = 2.
10
8
9
11
By substituting x = 2, the expression becomes 3(2²) - 2(2) + 1, which simplifies to 12 - 4 + 1 = 9. This confirms the correct computational steps.
For the function f(x) = 2(x - 1)², find f(4).
18
15
16
20
Substitute x = 4 to get 2(4 - 1)². This means 2(3²) = 2(9) = 18, confirming the correct answer.
Evaluate the function f(x) = ½x² - x for x = 6.
15
18
9
12
Plugging in x = 6 gives f(6) = ½(6²) - 6 = ½(36) - 6 = 18 - 6 = 12. This clear calculation confirms the answer.
If f(x) = x² - 4x + 7, what is the value of f(3)?
5
3
4
6
Substituting x = 3, we get 3² - 4(3) + 7 which simplifies to 9 - 12 + 7 = 4. The arithmetic confirms that 4 is the correct answer.
Determine the value of f(x) = -x + 2 when x = -4.
6
2
0
-6
Substituting x = -4 results in -(-4) + 2, which equals 4 + 2 = 6. The negation and addition steps confirm the answer.
Evaluate the rational function f(x) = 3/(x - 1) for x = 4.
1
3
0
-1
By substituting x = 4, we have f(4) = 3/(4 - 1) = 3/3 = 1. This direct evaluation confirms the correct choice.
Given f(x) = 2x + 3, find f(f(2)).
17
14
13
15
First, compute f(2) = 2(2) + 3 = 7; then, f(7) = 2(7) + 3 = 17. This two-step substitution confirms that 17 is correct.
If f(x) = x³, what is the result of f(2) - f(1)?
7
8
6
9
Evaluate f(2) to get 2³ = 8 and f(1) to get 1³ = 1; subtracting yields 8 - 1 = 7. This confirms the correct answer through simple exponentiation.
Calculate the value of f(x) = √x + 3 for x = 16.
8
6
5
7
Substituting x = 16 gives √16 + 3 = 4 + 3 = 7. This evaluation of the square root and addition confirms the result.
For the function f(x) = |x - 3|, determine f(5).
3
2
5
-2
Calculating |5 - 3| yields |2|, which is 2. This absolute value evaluation confirms the correct answer.
Evaluate the function f(x) = (2x² - 3x + 4)/(x - 2) at x = 3.
13
11
12
14
Substituting x = 3 into the numerator yields 2(9) - 3(3) + 4 = 13, while the denominator becomes 3 - 2 = 1. Dividing 13 by 1 confirms the answer is 13.
Given f(x) = 2x - 1 and g(x) = x², find the value of f(g(3)).
17
18
15
16
First, compute g(3) = 3² = 9; then apply f to get f(9) = 2(9) - 1 = 17. This two-step composition confirms the answer.
Evaluate the function f(x) = (x² - 9)/(x - 3) at x = 5.
8
10
2
5
Notice that x² - 9 factors to (x - 3)(x + 3), allowing the (x - 3) terms to cancel. Substituting x = 5 then gives 5 + 3 = 8.
For the function f(x) = 1/(x² - 4), determine f(3).
1/5
1/3
3/5
5
Substitute x = 3 to obtain the denominator: 3² - 4 = 9 - 4 = 5, so f(3) becomes 1/5. This careful calculation verifies the correct answer.
Evaluate the function f(x) = (3x + 2)/(x + 4) at x = -2.
2
-2
0
-1
Substituting x = -2 gives a numerator of 3(-2) + 2 = -4 and a denominator of (-2) + 4 = 2. Dividing -4 by 2 results in -2, confirming the correct answer.
0
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Study Outcomes

  1. Apply substitution techniques to evaluate functions at specific inputs.
  2. Analyze function graphs to determine corresponding output values.
  3. Interpret algebraic expressions as functions and correctly compute values.
  4. Evaluate composite functions by systematically substituting and simplifying.
  5. Simplify complex function expressions to reveal underlying patterns.

Evaluating Functions Quiz (Algebra 1 & 2) Cheat Sheet

  1. Understand function notation - Think of f(x) as a machine: you feed in x, and out pops f(x). Once you get the hang of spotting inputs and outputs, you'll breeze through tricky problems. Math Tutor
  2. Practice substitution - Plugging numbers into functions is like solving a mini-puzzle each time. For example, f(x)=x²−5x+6 becomes f(2)=4−10+6=0, which builds your muscle memory. Math Bits Notebook
  3. Evaluate with algebraic inputs - Feeding expressions like (a+1) into f(x)=3x−4 flexes your symbolic muscles. You'll simplify f(a+1)=3(a+1)−4=3a−1 and feel unstoppable. Math Bits Notebook
  4. Identify the domain - The domain is your playground of allowed inputs. Remember that f(x)=1/x can't handle x=0, so that's your only off-limits spot! Lamar University Tutorial
  5. Tackle piecewise functions - Piecewise definitions are like secret levels in a game: different rules for different x-intervals. Just check which rule applies and you're golden. Math Bits Notebook
  6. Use function tables - Tables let you see inputs and outputs side by side so you can spot patterns fast. It's like having a cheat sheet that reveals the function's behavior at a glance! Math Worksheets 4 Kids
  7. Work on quadratics - Quadratic functions f(x)=ax²+bx+c are everywhere - from physics to video games. Substitute values, simplify, and watch those parabolas come alive. Math Worksheets 4 Kids
  8. Master the difference quotient - The expression [f(x+h)−f(x)]/h reveals the average rate of change - kind of like calculating your speed over a distance. It's the stepping stone to derivatives! Math Bits Notebook
  9. Explore real‑world applications - Whether you're finding distance, area, or cost, functions power real-life problems. Practice in context and see the magic of math in action. Math Tutor
  10. Reinforce with worksheets - The more you practice, the sharper your skills get. Dive into targeted worksheets to lock down these concepts and build confidence. Math Fun Worksheets
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