MATH SECOND CUMULATIVE EXAM

The system of linear equations and is graphed below.What is the solution to the system of equations? (0, -1) (-1, 0) (0, 1) (1, 0)

(0, -1)

Which expression has a value of 1/36?

(1/6)^2

What is the solution to this system of equations? (4.75, 38.8) (4.75, ) no solution infinitely many solutions

(4.75, -22)

What is the product? 0 1 4 6

1

Which is the value of this expression when and ?

1/27

Tiana compares the length of a name on a nameplate to the number of letters in the name. She draws the scatterplot below, and then she plots and determines an equation for the trend line. NameplatesBased on the information above, which is the best estimate of the number of letters that a name contains if the nameplate is 6 inches long? 3 4 10 12

10

A sphere and a cylinder have the same radius and height. The volume of the cylinder is .What is the volume of the sphere?

100/3

Which set of side lengths is a Pythagorean triple? 2, 3, 13 5, 7, 12 10, 24, 29 11, 60, 61

11, 60, 61

Which expression is equivalent to ?

12^11

What is the slope of the trend line drawn into the scatterplot?

15/163

What is the value of ?

16/81

What is the area of the base of the cone below?

22.5

Which answer shows 35,067,800 written in scientific notation?

3.50678 times 10^7

The equation of the trend line on the scatterplot below is . Using the trend line equation, what is the predicted approximate value of y when x = 3.5? 2.98 4.02 4.31 5.35

4.31

Iliana was part of a group that was working on changing to a fraction. Each member of the group had a different answer. Which answer is correct?

4/9

What is the height of a cylinder with a volume of cubic meters and a radius of 6 meters? 8.75 meters 12.25 meters 26.25 meters 52.5 meters

52.5 meters

Which number is a perfect cube? 4 16 24 64

64

What is the side length of a cube that has a volume of 343 cubic centimeters?Recall the formula . 4 centimeters 7 centimeters 8 centimeters 114 centimeters

7 centimeters

What is the length of the diagonal of a cube with a side length of 5 cm? Round to the nearest tenth. 7.1 cm 8.7 cm 21.3 cm 26.7 cm

7.1 cm

In order to solve the system of equations below, Juana multiplies each equation by a constant to eliminate the yterms.What are the resulting equations?

a

Which of these four sets of side lengths will form a right triangle?Set 1 cm, 9 cm, cmSet 22 in., in., 9 in.Set 3 mm, 2 mm, mmSet 4 ft, ft, 3 ft Set 1 Set 2 Set 3 Set 4

set 4

Which triangle has hypotenuse ? triangle BDA triangle BDF triangle BDG triangle BDH

triangle BDA

Which is the simplified form of m^-8 p^0

b

Which is the best estimate for written in scientific notation?

1.2 times 10^10

Which expression represents a rational number?

2/7 + square root of 121

What is in scientific notation?

3 times 10^17

A company sells name plates for doors. An employee takes a random sample of name plates, measures the length of each name (in inches), and counts the number of letters in each name. She generates the scatterplot and trend line equation shown below. Name PlatesA customer would like the company to build him a name plate that is 22 inches long. What is the best estimate of the number of letters the company can have on the name plate? 9 10 12 39

12

A paper cup in the shape of an inverted cone is 8 inches tall and has a radius of 1.5 inches. How much water can the cup hold? Use 3.14 for . Round the answer to the nearest tenth. 12.6 cubic in. 18.8 cubic in. 37.7 cubic in. 56.5 cubic in.

18.8 cubic in.

The Darnells are having a swimming pool installed. The pool has a radius of 14 feet and a height of 4 feet. What is the volume of the pool? Use 3.14 for . 351.68 cubic feet 615.44 cubic feet 703.36 cubic feet 2,461.76 cubic feet

2,461.76 cubic feet

Which is the best estimate of the distance between the point (-25, 10) and the origin? 8 units 15 units 23 units 27 units

27

Which is the simplified form of the expression ?

2^36 3^48

Caitlyn recorded the height of each plant after she exposed each plant to a set amount of darkness daily. The scatterplot shows her results after 2 weeks of exposing each plant to the amount of darkness.Which statement about the scatterplot is true? The point (17, 12) could cause the description of the data set to be overstated. The point (17, 12) could cause the description of the data set to be understated. The point (17, 12) shows that there is no relationship between the number of hours of darkness and the height of the plant. Although (17, 12) is an extreme value, it should be part of the description of the relationship between number of hours of darkness and the height of the plant.

Although (17, 12) is an extreme value, it should be part of the description of the relationship between number of hours of darkness and the height of the plant.

Nico measured the water level in his pool every other day for two weeks. Which statement best describes the information shown by the scatterplot and trend line. As the number of days increased, the water level always decreased. As the number of days increased, the water level always increased. As the number of days increased, the water level usually decreased. As the number of days increased, the water level usually increased.

As the number of days increased, the water level always decreased.

The table of values below shows data for a five-word spelling test.Number of Letters vs. Percentage who Spelled CorrectlyWordNumber of letters in the wordPercentage of students who spelled the word correctly17482912357346595827Which describes how the data for word 2 should be plotted on a coordinate grid? From the origin, go 2 units to the right and 9 units up. From the origin, go 2 units to the right and 12 units up. From the origin, go 9 units to the right and 12 units up. From the origin, go 12 units to the right and 9 units up.

From the origin, go 9 units to the right and 12 units up.

The scatterplot below shows the shoe sizes of students and the number of books the students collected for the library book drive.Which statement about the scatterplot is true? In general, each student collected a number of books equal to his or her shoe size. In general, the shoe size of a student does not affect the number of books collected. As shoe size increases, the number of books collected decreases. As shoe size increases, the number of books collected increases.

In general, the shoe size of a student does not affect the number of books collected.

According to the scatterplot below, which statement is correct? The input, or dependent variable, is courses completed. The output, or dependent variable, is credits needed to graduate. The input, or independent variable, is credits needed to graduate. The output, or independent variable, is courses completed.

The output, or dependent variable, is credits needed to graduate.

Which can be used to describe an equivalent expression for ? Adding the exponents will create an equivalent expression. Dividing the exponents will create an equivalent expression. There are three factors of . There are three factors of .

There are three factors of 1/s^6

Indira created four graphs, each containing a system of equations. She drew only a part of the line for each equation. By inspection, which graph contains a system with infinitely many solutions?

a

Which system of equations is represented in the graph?

a

Which of the scatterplots have no correlation? Check all that apply.

a and e first and last

Which expression can be used to determine the length of segment ZY?

b

Rajib wrote the equations and . What can Rajib conclude about the solution to this system of equations? The point is a solution to this system of equations. The point (14, 2) is a solution to this system of equations. The point is a solution to this system of equations. The point is a solution to this system of equations.

d

The graph for the equation is shown below. If another equation is graphed so that the system has one solution, which equation could that be?

d

Which expression is equivalent to the area of square A, in square centimeters?

d

A newborn baby weighs units. Which unit of measure was used? grams ounces pounds tons

grams

What is the solution to this system of equations? (0, ) (0, 2.1) infinitely many solutions no solution

infinitely many solutions

Which characteristics describe the scatterplot? Check all that apply. negative correlation positive correlation strong correlation weak correlation linear nonlinear

negative correlation strong correlation linear

Mrs. Thomas wants to put a table in the corner of a room. She considers the measurements of these tables. Table 1length: 1.5 feetwidth: 2.4 feetdiagonal: 3.0 feetTable 2 length: 3.2 feetwidth: 2.8 feetdiagonal: 4.0 feetTable 3length: 2.4 feetwidth: 3.2 feetdiagonal: 4.0 feetTable 4length: 2.6 feetwidth: 1.8 feetdiagonal: 3.0 feetThe walls forming the corner meet at a 90º angle. Which table will fit snugly in the corner? Table 1 Table 2 Table 3 Table 4

table 2

Saleem wants to compare the data in the four tables below. He graphs the data in each table and writes the rounded values for a, b, and r below each table, as shown.Table AMath Scores vs. Science ScoresTable BMath Scores vs. Science Scores Table CMath Scores vs. Science ScoresTable DMath Scores vs. Science ScoresWhich set of data has the weakest association with its trend line? the data in table A the data in table B the data in table C the data in table D

the data in table A

The table below shows the participation in the town soccer league during its first five seasons.Town Recreational Soccer League ParticipationYearNumber of participants188295310041085115Which is the equation of the trend line that can be generated by using the data from years 1 and 5?

y=6.75x+81.25