March 2026 Int.A Module1

\(\begin{aligned}
&\text{The function }w\text{ models the weight, in ounces, of the remaining solid wax of a burning candle}\\
&\text{as a function of the time }x\text{,in hours, after the candle was lit. The graph of }y=w(x)\text{ is shown.}\\
&\text{According to the model, what was the weight, in ounces, of the candle’s remaining solid wax} \\
&\text{12 hours after the candle was lit?}\end{aligned}\)

\(\text{In }\triangle ABC\text{, the sum of the measures of }\angle A\mathrm{~and~}\angle B\mathrm{~is~}159.5°\text{. What is the measure of }\angle C?\)

\(\begin{aligned}
&\text{A local gym is offering a }25\%\text{ discount on an annual membership. The regular cost of an}\\
&\text{annual membership is }\$288\text{. How much less is the discounted cost of the membership than}\\
&\text{the regular cost of the membership?}\end{aligned}\)

\(\begin{aligned}
&~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\begin{array}{|c|c|}\hline x&y\\\hline0&8\\\hline1&9\\\hline2&10\\\hline\end{array}\\
&\text{The table shows three values of }x\text{ and their corresponding values of }y\text{. There is a linear}\\
&\text{relationship between }x\text{ and }y\text{. Which of the following equations represents this relationship?}\end{aligned}\)

\(\text{The function }f\text{ is defined by the equation }f(x)=380x\text{. What is the value of }f(10)?\)

\(\text{Which of the following equations has solutions 13 and}-24?\)

\(\begin{aligned}
&\text{For the linear function }f,f(-5)=-7,\text{and the slope of the graph of }y=f(x)\text{ in the }xy\text{-plane is 3.}\\
&\text{Which equation defines }f?\end{aligned}\)

\(\begin{aligned}
&~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~y=0\\
&~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~y=4(x^{2}-36)\\
&\text{Which ordered pair }(x, y)\text{ is a solution to the given system of equations?}\end{aligned}\)

\(\begin{aligned}
&\text{A circle has a circumference of 28}\pi\text{ centimeters. What is the diameter, in centimeters, }\\&\text{of the circle?}\end{aligned}\)

\(\begin{aligned}
&\text{The function }f(w)=6w^{2}\text{ gives the area of a rectangle, in square feet (ft }^2)\text{, if its width is }\\
&w\text{ ft }\text{and its length is 6 times its width. Which of the following is the best interpretation of }\\&f(13)=1,014?
\end{aligned}\)

\(\begin{aligned}&\text{The ratio }a\text{ to }b\text{ is equivalent to the ratio 49 to 26. What is the value of }a\\
&\text{when }b=182?\end{aligned}\)

\(\begin{aligned}
&\text{At the beginning of the year, Imani has \$170 in her account. Each month this year, she will}\\
&\text{deposit between \$30 and \$60 into the account. Which inequality represents all possibilities}\\
&\text{for the total amount of money }x\text{, in dollars, in Imani’s account after 10 months of deposits}\\
&\text{this year?}\end{aligned}\)

\(\text{How many solutions does the equation }35x-25=5(7x-5)\text{ have?}\)

\(\begin{aligned}
&\text{The expression }(3x+5)(8x-7)\text{ can be written in the form }ax^2+bx+c,\mathrm{where~}a,b,\mathrm{and~}c\\
&\text{are constants. What is the value of }a+b?\end{aligned}\)

\(\text{In right triangle }FGH\text{ shown, what is the value of }\cos F?\)

\(\begin{aligned}
&\text{On January 1, 2000, the population of a town was 26,257, and on January 1, 2010, the}\\
&\text{population was 26,858. The equation }10x + 26,257=26,858\text{ describes this situation.}\\
&\text{Which of the following is the best interpretation of }x\text{ in this context?}\end{aligned}\)

\(\begin{aligned}
&\text{In the }xy\text{-plane, an equation of circle A is }(x-2)^{2}+(y-7)^{2}=25.\text{ Circle B has the same }\\
&\text{center as circle A but has a radius that is twice the radius of circle A . Which equation }\\
&\text{represents circle B}?\end{aligned}\)

\(\begin{aligned}
&\text{The function }f\text{ is defined by }f(x)=(x-2)(x-8)(x+3).\text{ In the }xy\text{-plane, the }\\
&\text{graph of }y=h(x)\text{ is the result of translating the graph of }y=f(x) \text{ up 6 units.}\\
&\text{What is the }y\text{-coordinate of the }y\text{-intercept of the graph of }y=h(x)?\end{aligned}\)

\(\text{Line }k\text{ contains the points }(-3,-60),(v,0)\text{, and }(5,76)\text{. What is the value of }v?\)

\(\begin{aligned}
&\text{When a scientist began observing a sample of an isotope, the mass of the sample was 530,000}\\
&\text{milligrams. The mass of the sample decreases by half approximately every 5 days. Which of }\\
&\text{the following is closest to the mass, in milligrams, of the sample 35 days after the scientist}\\
&\text{began observing the sample?}\end{aligned}\)

\(\begin{aligned}
&\text{Based on a model, on day 1 of an 8-day experiment, a lima bean plant had an estimated mass}\\
&\text{of 253 grams, and each day after day 1 of the experiment, the estimated mass of the plant }\\
&\text{decreased by 4 grams. Which equation represents this model, where }m\text{ is the estimated mass,}\\
&\text{in grams, of the plant on day }x\text{ of the experiment and }1\leq x\leq8?\end{aligned}\)

\(\begin{aligned}
&\text{The height of a right circular cylinder is 31 inches, and the circumference of its base is 310}\\
&\text{inches. Which expression represents the total surface area, in square inches, of the cylinder?}\end{aligned}\)