KSA Grade 10 Functions. Practice it free.

Interpret, build, and analyze functions that describe relationships between quantities. This Grade 10 reporting domain maps to 17 practice skills and 8 representative questions from the playable bank.

Grade 10F17 mapped skills
What the test measures

Functions skills

  1. Understand the concept of a function and use function notation

  2. Interpret functions that arise in applications in terms of the context

  3. Analyze functions using different representations

  4. Build a function that models a relationship between two quantities

  5. Construct and compare linear, quadratic, and exponential models

  6. Interpret key features of graphs and tables in context

Standards basis

Kentucky Academic Standards (KAS) for Mathematics — Kentucky

How the KSA reports it

Kentucky KSA is a state summative assessment built on Kentucky Academic Standards (KAS) rather than a separate national framework. For mathematics, the assessed content closely follows Common Core–style grade-band domains in grades 3-8 and uses Kentucky high-school conceptual categories in grade 10.

Blueprint & weighting

KSA uses the Independent / state-specific framework (by grade domains structure).

Try it now

8 free questions · 0/0 correct

Practice playeasy

The xx-intercept of the graph of y=2x8y = 2x - 8 in the coordinate plane is (x,0)(x, 0). What is the value of xx?

At the xx-intercept, y=0y = 0, so 0=2x80 = 2x - 8, 2x=82x = 8, and x=4.x = 4\textsf{.}

Practice playeasy

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.

Practice playeasy

The function ff is defined by f(x)=x25f(x) = x^2 - 5. What is the value of f(x)f(x) when x=3x = 3?

Substitute x=3x = 3: f(3)=325=95=4f(3) = 3^2 - 5 = 9 - 5 = 4.

Practice playeasy

For the function rr, r(0)=27r(0) = 27. For each increase in xx by 11, the value of r(x)r(x) increases by 100%100\%. What is the value of r(2)r(2)?

Each step multiplies by 22. So r(2)=2722=274=108r(2) = 27 \cdot 2^2 = 27 \cdot 4 = 108.

Practice playeasy

f=20n2f = 20 - \dfrac{n}{2}

The equation shown gives the estimated amount of flour
f,f\textsf{,} in cups, remaining after baking nn cookies, where 0n40.0 \le n \le 40\textsf{.} What is the estimated amount of flour, in cups, remaining after baking 1212 cookies?

Substitute n=12:n = 12\textsf{:} f=20122=206=14.f = 20 - \dfrac{12}{2} = 20 - 6 = 14\textsf{.} The estimated amount remaining is 1414 cups.

Practice playeasy

The function II is defined by I(t)=275(1.04)tI(t) = 275(1.04)^t. The function II models the balance, in thousands of dollars, of an investment account, where tt is the number of months after the account was opened. According to the model, what is the estimated balance, in thousands of dollars, of the account 11 month after it was opened?

When t=1t = 1, I(1)=275(1.04)1=2751.04=286I(1) = 275(1.04)^1 = 275 \cdot 1.04 = 286 thousand dollars.

Practice playeasy

You invest $400\text{\char36}400 at 25%25\% annual interest for 11 year. What is the total?

400×1.25=500400 \times 1.25 = 500.

Practice playeasy

The graph of y=2(x+15)(x8)(x+3)y = -2(x + 15)(x - 8)(x + 3) intercepts the xx-axis at which value of xx?

Set y=0y = 0: 2(x+15)(x8)(x+3)=0-2(x + 15)(x - 8)(x + 3) = 0. The constant 20-2 \neq 0, so the zeros are x=15x = -15, x=8x = 8, and x=3x = -3. Among the choices, only 88 is an x-coordinate of an x-intercept.

Keep practicing

Turn functions into game time.

The KSA placement starts with this test's real coverage map and finds the right difficulty.