Grade 9 · Algebra & functions

Linear functions from tables practice

Linear functions from tables is a grade 9 math skill aligned to Common Core standard HSF.LE.A.1: distinguish between situations that can be modeled with linear functions and with exponential functions. Below are 8 practice questions with answers and step-by-step explanations, drawn from the 10 linear functions from tables problems our math games drill.

CCSS HSF.LE.A.110 questions in the bank
Sample questions

Try 8 for free

Question 1easy

Taxi cost, in dollars, after xx miles:
\begin{array}{c|c} x & f(x) \ \hline 1 & 6 \ 2 & 10 \ 3 & 14 \ 4 & 18 \end{array}
The cost is f(x)=mx+2f(x)=mx+2. What is mm?

Slope-intercept form is f(x)=mx+bf(x) = mx + b. The cost increases by $4\text{\char36}4 per mile, so m=4m = 4.

Question 2easy

Tutoring cost, in dollars, for xx lessons:
\begin{array}{c|cccc} x & 0 & 1 & 2 & 3 \ \hline f(x) & 40 & 65 & 90 & 115 \end{array}
The cost is f(x)=25x+cf(x)=25x+c. What is cc?

Slope-intercept form is f(x)=mx+cf(x) = mx + c. When x=0x = 0, the cost is f(0)=40f(0) = 40, so c=40c = 40.

Question 3easy

Tree height, in feet, after xx years:
\begin{array}{c|c} x & f(x) \ \hline 1 & 20 \ 2 & 28 \ 3 & 36 \ 4 & 44 \end{array}
The height is f(x)=mx+12f(x)=mx+12. What is mm?

Slope-intercept form is f(x)=mx+bf(x) = mx + b. The height increases by 88 feet each year, so m=8m = 8.

Question 4easy

Water left, in gallons, after xx hours:
\begin{array}{c|c} x & f(x) \ \hline 0 & 48 \ 1 & 42 \ 2 & 36 \ 3 & 30 \end{array}
The amount is f(x)=−6x+bf(x)=-6x+b. What is bb?

Slope-intercept form is f(x)=mx+bf(x) = mx + b. When x=0x = 0, the amount remaining is f(0)=48f(0) = 48, so b=48b = 48.

Question 5easy

Bike rental cost, in dollars, for xx hours:
\begin{array}{c|cccc} x & 0 & 1 & 2 & 3 \ \hline f(x) & 10 & 16 & 22 & 28 \end{array}
The cost is f(x)=6x+bf(x)=6x+b. What is bb?

Slope-intercept form is f(x)=mx+bf(x) = mx + b. When x=0x = 0, the cost is f(0)=10f(0) = 10, so b=10b = 10.

Question 6medium

Candle height, in cm, after xx hours:
\begin{array}{c|c} x & f(x) \ \hline 0 & 20 \ 1 & 18 \ 2 & 16 \ 3 & 14 \end{array}
The height is f(x)=mx+20f(x)=mx+20. What is mm?

Slope-intercept form is f(x)=mx+bf(x) = mx + b. The height decreases by 22 centimeters each hour, so m=−2m = -2.

Question 7medium

Phone charge, in dollars, for xx extra minutes:
\begin{array}{c|cccc} x & 0 & 5 & 10 & 15 \ \hline f(x) & 30 & 40 & 50 & 60 \end{array}
The charge is f(x)=mx+30f(x)=mx+30. What is mm?

Slope-intercept form is f(x)=mx+bf(x) = mx + b. The charge increases by $2\text{\char36}2 for each extra minute, so m=2m = 2.

Question 8medium

Temperature, in ∘^\circF, after xx hours past noon:
\begin{array}{c|c} x & f(x) \ \hline 2 & 62 \ 4 & 56 \ 6 & 50 \ 8 & 44 \end{array}
The temperature is f(x)=mx+68f(x)=mx+68. What is mm?

Slope-intercept form is f(x)=mx+bf(x) = mx + b. The temperature decreases by 33 degrees each hour, so m=−3m = -3.

Tests that cover linear functions from tables:
NAEPSATPARCCNC EOG/EOCVTCAP
More Grade 9 skills:
Linear equation from two points (SAT)Linear graph translationsLinear equation formsLinear inequalitiesLinear equation expressionsLinear inequality situationsInconsistent linear systemsLinear inequality system solutionsAll Grade 9 practice →

Drill it inside a game.

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