MATH IA5 Anwsers

Students at a camp were surveyed to determine whether they participated in a swimming event or not, and whether they participated in an archery event or not. How many students did not participate in either event? Swimming No Swimming Total Archery 22 19 41 No Archery 18 6 24 Total 40 25 65

6

Which of these statements is true about the two triangles graphed below?

They are congruent, because one can be obtained by reflecting the other across the x-axis.

The relationship between the total amount spent on food and drinks by the customers that a waiter serves at a restaurant during a particular week and the waiter's total income for that week can be modeled by the equation y = 0.2x + 300, where x is the amount spent by the customers in dollars and y is the waiter's total income in dollars. By how much does the waiter's weekly income increase for every $500 spent by his customers during that week?

$100

Which table of values can be represented by the function y = x + 4?

(0,4),(1,5),(2,6),(3,7)

In the right triangle shown, what is the value of PQ? 17 cm, 15 cm

8 cm

Which choice describes the relationship between the variables shown on the graph?

As ticket prices increase, the number of tickets sold decreases.

Joan graphed a system of equations, and the solution was no solution. What does this mean?

The graph showed parallel lines with the same slope.

The relationship between the number of calories Aaron burns while working out can be represented by y =12x, where x is the number of minutes and y is the number of calories burned. Which of the following could be the graph of this situation?

y graph line goin down

Look at the system of equations below. {y = −2x + 3 {y = 4x − 3y = 11 What is the solution to the system? Show your work.

(2,-1) 4x - 3(-2x + 3) = 11 10x - 9 = 11 10x - 9 + 9 = 11 + 9 10x = 20 10x / 10 = 20 / 10 x = 2 y = -2x + 3 y = (-2) (2) + 3 y = -1

Which of the following sets of ordered pairs represents a relation that is not a function?

(2,4) , (8,10) , (8,16) ,(11,13) , (15,17)

Same value of 4^-2

1/16

Which value is closest to the unit length of MN¯ in the coordinate plane below?

10

What is the distance between the two points plotted below? (3,3) , (-9,-6)

15

Which of the following sets of numbers could represent side lengths of a right triangle?

15 cm, 20 cm, 25 cm

Equivalent to (3^6)^3

3^18

x^3 = 125?

5

The graph shows change in enrollment of a school for 10 years after the school opened. During what years did the school have declining enrollment?

between year 8 and year 10

Lines l1 and l2 are parallel and l3 is a transversal. Which statement is true?

m1 = m4

Given that x^2 = 81, which is true?

x = +- 9

What is the value of x in the equation? 2/3x + 1 = 13

x = 18

What is the value of x in the equation 5x − 1 = 3x + 7?

x = 4

Write an equation for the linear function graphed below.

y = -1/2x +16

The grid below shows a system of linear equations. Which coordinate pair represents the solution for the system?

(-3,1)

Simplify: (-3)^4 x (-3)^6 x (-3)

(3)^11 or (-3)^11

What is the solution to the system of equations x − y = 5 and 3x + 7y = -5?

(3,-2)

Which of the following scatter plots shows linear association?

(top of graph)

Which of the following is equivalent to 0.2¯?

2/9

Ms. Walker used a coordinate plane to plot her students' scores on a recent quiz. She let x represent the number of correct answers they had on their quiz and y represent the number of points earned. She then plotted the ordered pairs (17, 68), (20, 80), and (24, 96) to represent the data from three students.What is the slope of the graph in points per question?

4.00

Choose the option that would create an equation with infinite solutions. 2c + (3c − 4) = □ − 4

5c

Which equation has exactly one solution?

6 - 2x = 4x

Which of these statements correctly describes the function y = 9x − 7?

It is not a linear function, and its graph is not a straight line.

Which of these is a correct statement about the function graphed below?

Its equation is y = x^2 + 2, so it is a linear function.

Joe is 9 years older than Suzan. Together, their ages total 41. How old is Joe?

Joe is 25 years old.

Which of these is a valid argument concerning the measures of the corresponding angles of similar triangles?

Similar triangles must have the same shape, so the measures of the corresponding angles must be equal to each other.

Same value (f^9 x f^3/f^4)

f^8

Look at the diagram below. Which statement MUST be true?

m2 + m3 = m4

Trisha noticed that three copies of a certain triangle could be arranged in a way that the three angles of the triangle form a straight line. What can she conclude from this observation? Select one that applies.

that the sum of the interior angles of the triangle must be 180°

The lines 2x − y = 8 and 4x − 2y = 16 intersect at __________.

2 points

Quinton typically walks 28 yards south on Pine Street and 45 yards east on Maple Avenue in order to get to school. How much shorter would his walk be if he took the shortcut shown below?

20

Find the perimeter of the square shown below: Area = 49 cm^2

28 or 14

The relationship between a person's age in years and maximum heart rate in beats per minute can be modeled by the equation y = 220 − x, where x is the person's age and y is his or her maximum heart rate. Which of these statements is true according to the model?

For each year a person ages, his or her maximum heart rate increases by 220 beats per minute.

Based on your knowledge of right triangles and the Pythagorean Theorem, which statement is correct?

The empty square has a side length of 10 and an area of 100 square units.

A car repair company charges a $15 fee for an evaluation plus a rate for any services required. What is the slope of the table, and what does the slope represent?

The slope is $75, the slope represents how much the car repair company charges for an hour.

Melanie wants to create a pattern using a transformation that will change the orientation of a figure but not the orientation of the vertices. Which transformation should she use?

Translations

Suppose figure A underwent a dilation to produce figure B. Are figure A and figure B similar?

Yes, because even though their side lengths are different, their internal angles are the same.

Which of the following graphs shows the figure below translated 3 units down?

c, (-6,1) (-2,1) (-6,-5) (-2,-5)

What is the volume of a cylindrical garbage pail with a radius of 10 centimeters and a height of 50 centimeters?

d, 5000"cm^3

Greg and Patricia learned the following rule in math class. A rational number can be written as a decimal with one or more digits after the decimal point that eventually repeat. Greg believes that 6 is a rational number, while Patricia believes that it is not. Who is right, and why?

Greg is right, because 6 can be written as a decimal with repeating zeros after the decimal point.

Which of the following correctly describes the Pythagorean theorem?

The sum of the squares of the lengths of the legs of a right triangle is equal to the square of the length of the hypotenuse.

Zach plotted 10 points on a scatter plot to investigate the relationship between two quantitative variables. He then used the line y = 2x + 8 to model the relationship, and the line is a very good fit. Which of these scenarios is most likely?

There are 2 points below the line and 8 points above the line.