HSF.LE.A.2 math practice. Learn by doing.

HSF.LE.A.2 practice covers construct linear and exponential functions, including arithmetic and geometric sequences, given a graph, a description of a relationship, or two input-output pairs. Work through 8 free questions with answers and explanations, then continue in the related math games.

Grade 9Grade 115 mapped skills
Try it now

8 free questions · 0/0 correct

Practice playeasy

You invest $500\text{\char36}500 at 10%10\% annual interest for 11 year. What is the total?

500×1.10=550500 \times 1.10 = 550.

Practice playeasy

The function gg is defined by g(t)=840(0.5)t/4g(t) = 840(0.5)^{t/4}. The function gg models the mass, in milligrams, of a medicine in a patient's bloodstream, where tt is the number of hours after an injection. According to the model, what is the estimated mass, in milligrams, of the medicine at the time of the injection?

At the time of injection, t=0t = 0. So g(0)=840(0.5)0=840g(0) = 840(0.5)^0 = 840 milligrams.

Practice playeasy

Taxi cost, in dollars, after xx miles:
xf(x)16210314418\begin{array}{c|c} x & f(x) \\ \hline 1 & 6 \\ 2 & 10 \\ 3 & 14 \\ 4 & 18 \end{array}
The cost is
f(x)=mx+2.f(x)=mx+2\textsf{.} What is m?m\textsf{?}

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

Practice playeasy

The table shows values of a linear function g.g\textsf{.}
xg(x)0151122936\begin{array}{c|c} x & g(x) \\ \hline 0 & 15 \\ 1 & 12 \\ 2 & 9 \\ 3 & 6 \end{array}
Which of the following is
g(x)?g(x)\textsf{?}

The outputs decrease by 33 each time xx increases by 1,1\textsf{,} so the constant rate is 3.-3\textsf{.} When x=0,x = 0\textsf{,} g(0)=15,g(0) = 15\textsf{,} so g(x)=3x+15.g(x) = -3x + 15\textsf{.}

Practice playeasy

A line has slope 44 and passes through the point (1,2)(-1, 2). Which equation represents this line in point-slope form?

Point-slope form is yy1=m(xx1)y - y_1 = m(x - x_1). With m=4m = 4 and (x1,y1)=(1,2)(x_1, y_1) = (-1, 2), the equation is y2=4(x(1))y - 2 = 4(x - (-1)), or y2=4(x+1).y - 2 = 4(x + 1)\textsf{.}

Practice playeasy

A substance has a half-life of 44 years. What fraction remains after 1212 years?

12÷4=312 \div 4 = 3 half-lives. Remaining: (12)3=18\left(\dfrac{1}{2}\right)^{3} = \dfrac{1}{8}.

Practice playeasy

The function hh is defined by h(t)=125(1.18)th(t) = 125(1.18)^t. The function hh models the number of members in a club, where tt is the number of years after the club was founded. According to the model, what is the estimated number of members when the club was founded?

When the club was founded, t=0t = 0. So h(0)=125(1.18)0=125h(0) = 125(1.18)^0 = 125 members.

Practice playeasy

Tutoring cost, in dollars, for xx lessons:
x0123f(x)406590115\begin{array}{c|cccc} x & 0 & 1 & 2 & 3 \\ \hline f(x) & 40 & 65 & 90 & 115 \end{array}
The cost is
f(x)=25x+b.f(x)=25x+b\textsf{.} What is b?b\textsf{?}

Slope-intercept form is f(x)=mx+b.f(x) = mx + b\textsf{.} When x=0x = 0, the cost is f(0)=40f(0) = 40, so b=40.b = 40\textsf{.}

Keep playing

Practice HSF.LE.A.2 inside a game.

The placement test chooses the right difficulty while every match keeps the standard in play.