sat-dog

Caleb used juice to make popsicles. The function $f\left(x\right)=-5x+30$ approximates the volume, in fluid ounces, of juice Caleb had remaining after making $x$ popsicles. Which statement is the best interpretation of the y-intercept of the graph of $y=f\left(x\right)$ in the xy-plane in this context?

Triangle $ABC$ is similar to triangle $XYZ$, such that $A$, $B$, and $C$ correspond to $X$, $Y$, and $Z$ respectively. The length of each side of triangle $XYZ$ is $2$ times the length of its corresponding side in triangle $ABC$. The measure of side $AB$ is $16$. What is the measure of side $XY$?

$f\left(x\right)=(x+6)(x+5)(x-4)$

The function $f$ is given. Which table of values represents $y=f\left(x\right)-3$?

A bag containing 10,000 beads of assorted colors is purchased from a craft store. To estimate the percent of red beads in the bag, a sample of beads is selected at random. The percent of red beads in the bag was estimated to be 15%, with an associated margin of error of 2%. If r is the actual number of red beads in the bag, which of the following is most plausible?

In the xy-plane, the graph of intersects the graph of at the point . What is the value of a ?

In the xy-plane, the graph of the linear function $f$ contains the points $\left(0,2\right)$ and $\left(8,34\right)$. Which equation defines $f$, where $y=f\left(x\right)$?

Which choice completes the text so that it conforms to the conventions of Standard English?

Which choice most logically completes the text?

The product of two positive integers is $546$. If the first integer is $11$ greater than twice the second integer, what is the smaller of the two integers?

Which choice completes the text so that it conforms to the conventions of Standard English?

In the table above, Melissa recorded the price of one gallon of regular gas from five different local gas stations on the same day. What is the median of the gas prices Melissa recorded?

Which choice completes the text with the most logical and precise word or phrase?

Which of the following represents the result of increasing the quantity x by 9%, where ?

Which choice best states the main purpose of the text?

In triangle $JKL$, the measures of $\angle K$ and $\angle L$ are each $48°$. What is the measure of $\angle J$, in degrees? (Disregard the degree symbol when entering your answer.)

Which choice completes the text so that it conforms to the conventions of Standard English?

In the xy-plane, the y-coordinate of the y-intercept of the graph of the function f is c. Which of the following must be equal to c ?

$5x^2-37x-24=0$

What is the positive solution to the given equation?

Which quotation from the poem most effectively illustrates the claim?

Which choice most logically completes the text?

The number k is 36% greater than 50. If k is the product of 50 and r, what is the value of r ?

For which of the following data sets is the mean greater than the median?

$y=0.25x^2-7.5x+90.25$

The equation gives the estimated stock price $y$, in dollars, for a certain company $x$ days after a new product launched, where $0\le x\le 20$. Which statement is the best interpretation of $\left(x,y\right)=\left(1,83\right)$  in this context?

The boiling point of water at sea level is 212 degrees Fahrenheit . For every 550 feet above sea level, the boiling point of water is lowered by about . Which of the following equations can be used to find the boiling point B of water, in , x feet above sea level?

Each dot in the scatterplot above represents the height x, in feet, in the high jump, and the distance y, in feet, in the long jump, made by each student in a group of twenty students. The graph of which of the following equations is a line that most closely fits the data?