Evaluating functions. Game on.

Evaluating functions is a grade 9 math skill aligned to Common Core standard HSF.IF.A.2: use function notation, evaluate functions for inputs in their domains, and interpret statements that use function notation in terms of a context. Below are 8 practice questions with answers and step-by-step explanations, drawn from the 10 evaluating functions problems our math games drill.

CCSS HSF.IF.A.210 questions in the bank
Kickoff

8 plays. No signup.

Warm-upeasy

The function ff is defined by f(x)=−3x+22f(x) = -3x + 22. What is the value of f(x)f(x) when x=5x = 5?

Substitute x=5x = 5: f(5)=−3(5)+22=−15+22=7f(5) = -3(5) + 22 = -15 + 22 = 7.

Mid-gameeasy

The function ff is defined by f(x)=7x−4f(x) = 7x - 4. What is the value of f(x)f(x) when x=3x = 3?

Substitute x=3x = 3: f(3)=7(3)−4=21−4=17f(3) = 7(3) - 4 = 21 - 4 = 17.

Mid-gameeasy

The function ff is defined by f(x)=x2−10f(x) = x^{2} - 10. What is the value of f(x)f(x) when x=6x = 6?

Substitute x=6x = 6: f(6)=62−10=36−10=26f(6) = 6^{2} - 10 = 36 - 10 = 26.

Mid-gameeasy

The function ff is defined by f(x)=3x2+2f(x) = 3x^{2} + 2. What is the value of f(x)f(x) when x=2x = 2?

Substitute x=2x = 2: f(2)=3(2)2+2=3(4)+2=12+2=14f(2) = 3(2)^{2} + 2 = 3(4) + 2 = 12 + 2 = 14.

Mid-gameeasy

The function ff is defined by f(x)=x2+4xf(x) = x^{2} + 4x. What is the value of f(x)f(x) when x=5x = 5?

Substitute x=5x = 5: f(5)=52+4(5)=25+20=45f(5) = 5^{2} + 4(5) = 25 + 20 = 45.

Mid-gameeasy

The function ff is defined by f(x)=3⋅2xf(x) = 3 \cdot 2^{x}. What is the value of f(x)f(x) when x=4x = 4?

Substitute x=4x = 4: f(4)=3⋅24=3⋅16=48f(4) = 3 \cdot 2^{4} = 3 \cdot 16 = 48.

Mid-gameeasy

The function ff is defined by f(x)=x+21f(x) = \sqrt{x + 21}. What is the value of f(x)f(x) when x=4x = 4?

Substitute x=4x = 4: f(4)=4+21=25=5f(4) = \sqrt{4 + 21} = \sqrt{25} = 5.

Buzzer beatereasy

The function ff is defined by f(x)=2x+17f(x) = \sqrt{2x + 17}. What is the value of f(x)f(x) when x=16x = 16?

Substitute x=16x = 16: f(16)=2(16)+17=32+17=49=7f(16) = \sqrt{2(16) + 17} = \sqrt{32 + 17} = \sqrt{49} = 7.

Overtime

2 more. Played, not assigned.

The rest of the bank lives inside live head-to-head matches — the placement test finds the right starting difficulty.

Drill it inside a game.

The free placement test finds your level, then every match serves evaluating functions questions at exactly the right difficulty.