CAASPP Grade 11 Math

Select the expression that is equivalent to ({m^2}-25).

Select an expression that is equivalent to \sqrt{3^8}.

Enter an expression equivalent to

using the fewest number of possible terms.

When a transversal intersects a pair of parallel lines it will create two pairs of alternate exterior angles.

Ricky claims the angles within each pair are congruent to each other, but not congruent to either angle in the other pair.

Part A

Draw a transversal through the point that supports Ricky's claim or circle NONE if there is not a situation to support the claim.

Part B

Draw a transversal through the point that refutes Rickey's claim, or circle NONE if there is not a situation to refute the claim.

Which inequality represents all possible solutions of -6n<-12?

Consider this right triangle.

Enter the ratio equivalent to sin(B).

A train travels 250 miles at a constant speed (x), in miles per hour.

Enter an equation that can be used to find the speed of the train, if the time to travel 250 miles is 5 hours.

Fill in above the numbers to create a line plot for the given percent chances of rain in different cities.

65, 65, 70, 70, 80, 80, 80, 80, 85, 95, 95, 95, 100

The formula for the rate at which water is flowing is R=\frac{V}{t}, where

• R is the rate

• V is the volume of water measured in gallons (g), and

• t is the amount of time, in seconds (s), for which the water was measured.

Select an appropriate measurement unit for the rate.

A store sells used and new video games. New video games cost more than used video games. All used video games cost the same. All new video games also cost the same.

Omar spent a total of $84 on 4 used video games and 2 new video games. Sally spent a total of $78 on 6 used video games and 1 new video game. Janet has $120 to spend.

Enter the number of used video games Janet can purchase after she purchases 3 new video games.

Shade the region of the graph that contains the solution set of the system of linear inequalities.

Use the circle below to answer the question.

The circle is centered at point C. Line segment PQ is parallel to SR. What is the measure of angle QPS?

Choose the ordered pair that is a solution to the equation represented by the graph.

Consider a sequence whose first five terms are: -1/75, -0.5, 0.75, 2, 3.25

Which function (with domain all integers n \geq 1) could be used to define and continue this sequence?

Write an expression equivalent to \frac{b^{11}}{b^4} in the form b^m.

Nina has some money saved for a vacation she has planned.

• The vacation will cost of total of $1600.

• She will put $150 every week into her account to help pay for the vacation.

• She will have enough money for the vacation in 8 weeks.

If Nina was able to save $200 a week instead of $150 a week, how many fewer weeks would it take her to save enough money for the vacation?

Consider parallelograms ABCD with point X at the intersection of diagonal segments AC and BD.

Evelyn claims that ABCD is a square. Select all statements that must be true for Evelyn's claim to be true.

Michael took 12 tests in his math class. His lowest test score was 78. His highest test score was 98. One the 13th test, he earned a 64. Categorize whether the value of each statistic for his test scores increased, decreased, or could not be determined when the last test score was added.

Emma is standing 10 feet away from the base of a tree and tries to measure the angle of elevation to the top. She is unable to get an accurate measurement, but determines that the angle of elevation is between 55 degrees and 75 degrees.

Determine whether each value given is a reasonable estimate for the tree height. Categorize each height as Reasonable or Not Reasonable.

Consider this right triangle.

Determine whether each expression can be used to find the length of side RS.

Categorize each expression as Yes of No.

Given the function y=3{x^2}-12x+9,

• Plot a point on the coordinate grid to show each x-intercept of the function.

• Plot a point on the coordinate grid to show the minimum value of the function.

Mike earns $6.50 per hour plus 4% of his sales.

Enter an equation for Mike's total earnings, E, when he works x hours and has a total of y sales, in dollars.

Enter an expression equivalent to $(16x^3y^4-6x^5z^2)+(-13x^3y^4+3x^5z^2+4x^2y^5)-(2x^5z^2+3x^2y^5)$ using the fewest number of possible terms.

Enter the value for $x$ that makes the equation true: $14x-3(2x-2)=13-6x$.

Choose the domain for which each function is defined.

Click the table to indicate whether each equation has no real solution, one real solution, or infinitely many real solutions.

English glossary:
Infinitely Many: descriptive term referring to the fact all the points on the line are solutions to all equations

This graph shows linear equations $y=f(x)$ and $y=g(x)$.

Enter the solution to the equation $f(x)-g(x)=0$.

The equation $f(x)=(x+4)(x+2)(x-1)$ represents the function $f(x)$, and the table represents the function $g(x)$.

Select all of the roots that are shared by both functions.

The viewing screen of a television set is a rectangle 1.77 times as wide as it is tall. Enter an equation to determine the area of the viewing screen ($a$), in square inches, when the screen is 28 inches tall.

Select the expression that is equivalent to $(x+5)^2-(x^2+2x-15)$.

Which equation includes the minimum or maximum value of $f$ as a number that appears in the equation?

Enter the value of $x$ that makes the equation true: $\sqrt{x-3}+4=7$.

A student solved $\frac{3}{x-4}=\frac{x}{7}$ in six steps, as shown.

Step 1: $3=\frac{x(x-4)}{7}$
Step 2: $21=x(x-4)$
Step 3: $21=x^2-4x$
Step 4: $0=x^2-4x-21$
Step 5: $0=(x-7)(x+3)$
Step 6: $x=-3,\ x=7$

Which statement is an accurate interpretation of the student’s work?

Dave and Karen both work in a warehouse. Dave can fill 3 trucks with boxes in 50 minutes. Karen can fill 5 trucks with boxes in 72 minutes. Enter an equation that can be used to find the time, $m$, in minutes, it would take Dave and Karen working together to fill 20 trucks with boxes.

This graph represents the equation $y=\frac{4}{x+1}$.

How many ordered pairs $(x,y)$ for $-4<x<0$ satisfy this equation?

Select the appropriate box to identify each expression as having either a rational or irrational product.

The area of a rug is 2 square yards.

• 1 yard (yd) is 3 feet (ft).

• 1 foot is 12 inches (in).

• 1 inch is 2.54 centimeters (cm).

Select an expression that would convert the area of the rug into square centimeters.

Samantha is covering a cylinder with colored paper. The label wraps around every surface of the cylinder. To calculate the total surface area, she uses the following formula: $a=2\pi r^2+2\pi rh$. Which of the following equations is equivalent to the given equation when solved for the height, $h$?

English glossary: label: cover

The area of a square dining table can be written as $x^2 + 2x + 1$. Enter the expression for the length of one side of the table, in terms of $x$.

A student simplifies the expression $\sqrt[5]{7^3}\cdot\sqrt[3]{7^2}$, as shown:

1. $7^{\frac{3}{5}}\cdot 7^{\frac{2}{3}}$

2. $7^{\left(\frac{3}{5}\cdot\frac{2}{3}\right)}$

3. $7^{\frac{6}{15}}$

Select the statement that best explains the student’s work.

In the given figure, quadrilateral ABCD is a rectangle, and quadrilateral ACED is a parallelogram. Ted claims that the two shaded triangles must be congruent. Is Ted’s claim correct? Include all work and/or reasoning necessary to either prove the triangles congruent or to disprove Ted’s claim.

A bookstore is offering a 25% discount for a new book during a two-week sale. After the sale, the book will sell for the regular price of $32.00. The store has a total of 200 copies of the book. If all of the copies of this book are sold, what is the number of discounted books that the store sells to make a total of $5440.00?

English glossary:

discount: lowered price;

sale: event when prices are lowered.

Select the appropriate box to identify each expression as having either a rational or irrational sum.

Determine whether each equation in the table represents the graph of the function shown. Select Yes or No for each equation.

Select the expression that is equivalent to $(2x+3)^2-(x+1)(2x+3)$.

Select an expression that is equivalent to $\sqrt[5]{2^3}\cdot\sqrt[5]{2^4}$.

Which equation of $f(x)$ reveals the minimum or maximum value of $f(x)$ without changing the form of the equation?

Determine if each equation is true for all values of $x$.

Select Yes or No for each equation.

An outlier in a data set is significantly smaller than the rest of the data. The outlier is removed from the data set.

Select whether the value of each statistic for the data set increases, decreases, or cannot be determined when the outlier is removed.

English glossary:

outlier: Value far from most others in a set of data

set: Collection of elements having specific properties in common

Which equation has no real solutions?

The depth of a river changes after a heavy rainstorm. Its depth, in feet, is modeled as a function of time, in hours. Consider this graph of the function.

Enter the average rate of change for the depth of the river, measured as feet per hour, between hour 9 and hour 18. Round your answer to the nearest tenth.

Data distributions are shown for the texting trends of people in different age groups.

Which summary statistics should be used to compare the two data sets and why?

Given the formula $T = 2\pi\sqrt{\frac{L}{g}}$ where

• $T$ represents the period for one oscillation of a simple pendulum,

• $L$ represents the length of the pendulum in meters, and

• $g$ represents the acceleration due to gravity in meters per second squared.

Which is an appropriate measurement unit for the period of one oscillation?

English glossary:

oscillation: swing from one side to another and back

pendulum: stick with a weight at the bottom that swings back and forth

acceleration: act of moving faster

gravity: the natural force that pulls things down

Match each recursive function with the equivalent explicit function.

Multiply and combine like terms to determine the product of these polynomials: $2x^2(4x-7xy+5)(3y-2)$. Enter your result in the response box.

Consider the following right triangle.

Select the ratio equivalent to $\cos(C)$.

Match each recursive function with the equivalent explicit function.

Enter an expression equivalent to $(3x^2-4x+5)-(8x^2-x)+(5xy-4)$ using the fewest number of possible terms.

English glossary:
fewest: the smallest amount

This expression defines a function that models the future population, in millions, of a country after $y$ years: $11.8(1.082)^y$. Which expression represents the country’s population after $m$ months?

Select the domain for which each function is defined.

Part B