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This worksheet combines algebra practice with creativity, asking students to evaluate functions and then draw specific items based on their answers.

Evaluating functions worksheet with create and color drawing activity for algebra students.

Evaluating functions worksheet with create and color drawing activity for algebra students.

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Show Answer Key & Explanations Step-by-step solution for: Evaluating Functions Create and Color
To solve the problem, we need to evaluate each function at the given input values. Let's go through each function step by step.

1. \( f(x) = -3x^2 - 3 \); find \( f(-2) \)


\[
f(-2) = -3(-2)^2 - 3 = -3(4) - 3 = -12 - 3 = -15
\]
Answer: \(-15\)

2. \( g(x) = x - 2 \); find \( g(-3) \)


\[
g(-3) = -3 - 2 = -5
\]
Answer: \(-5\)

3. \( h(a) = x + 4 \); find \( h(0) \)


\[
h(0) = 0 + 4 = 4
\]
Answer: \(4\)

4. \( f(t) = t^2 + 2 \); find \( f(-6) \)


\[
f(-6) = (-6)^2 + 2 = 36 + 2 = 38
\]
Answer: \(38\)

5. \( h(r) = r^3 + 5r^2 \); find \( h(2) \)


\[
h(2) = (2)^3 + 5(2)^2 = 8 + 5(4) = 8 + 20 = 28
\]
Answer: \(28\)

6. \( k(m) = m + 2 \); find \( k(-6) \)


\[
k(-6) = -6 + 2 = -4
\]
Answer: \(-4\)

7. \( p(x) = 2x - 2 \); find \( p(-5) \)


\[
p(-5) = 2(-5) - 2 = -10 - 2 = -12
\]
Answer: \(-12\)

8. \( h(x) = 3x^2 + 2 - 2x \); find \( h(-2) \)


\[
h(-2) = 3(-2)^2 + 2 - 2(-2) = 3(4) + 2 + 4 = 12 + 2 + 4 = 18
\]
Answer: \(18\)

9. \( g(a) = a^2 - 4 \); find \( g(10) \)


\[
g(10) = (10)^2 - 4 = 100 - 4 = 96
\]
Answer: \(96\)

10. \( p(x) = -x - 2 \); find \( p(-12) \)


\[
p(-12) = -(-12) - 2 = 12 - 2 = 10
\]
Answer: \(10\)

11. \( h(n) = n^3 - 4 \); find \( h(-3) \)


\[
h(-3) = (-3)^3 - 4 = -27 - 4 = -31
\]
Answer: \(-31\)

12. \( g(x) = 2x^2 - 4x + 7 \); find \( g(-4) \)


\[
g(-4) = 2(-4)^2 - 4(-4) + 7 = 2(16) + 16 + 7 = 32 + 16 + 7 = 55
\]
Answer: \(55\)

Final Answers:


\[
\boxed{-15, -5, 4, 38, 28, -4, -12, 18, 96, 10, -31, 55}
\]

Now, you can use these answers to follow the directions for each box and color your creations accordingly!
Parent Tip: Review the logic above to help your child master the concept of evaluating functions worksheet.
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