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Use the distance formula to determine the distance between (2,3) and (5,-7).

Square root of 109

Which of the following is not a prime number?

1

Which is a factor of 125?

25

Determine the sum of the interior angles in the following polygon

360

Find the measure of X.

52°

Determine the answer that does not correctly identify the ray starting at point C going through a.

<-CA

Which of the following solves 5a/2 +3b=7 for a.

A=14-6b/5

The diagram shows the first two steps in modeling a computation involving numbers A and B using base 10 blocks. Which type of computation is being modeled with the blocks

Subtraction with regrouping

Ambers dog Mak eats approximately $85 a dog food in two weeks. How much will Amber spend on dog food in a year?

$2210

Find the midpoint of the line connected by........ and reduce it to simplest form.

(5root2/root5

Use the diagram below to determine which of the following special products is represented by the areas of the rectangles in the diagram below

(a+b)^2

Find -9^0

-1

A seventh grade class is doing a lesson on synthetic division today. Their teacher asked them to use synthetic division to perform the division. x^5+9x^4-2x^2+19x-5 as the teacher walks around the room checking for proper set up of the problem she discovers that one student has the following. Which number is incorrect?

-3

How many natural numbers lie between the numbers 3^0 and 7^0

0

A recent survey reveals that 40% of young people between 15 and 25 years of age will buy an iPad this year. Of those who buy iPads 35% enjoy listening to country music. If N is the number of young people between 15 and 25 how many people between 15 and 25 this year will enjoy listening to country music on their iPads?

0.14N

The table below shows the electricity rates of your local electric company. Write a piecewise definition of the monthly charge f(x).

1)4.50+0.055x; 2)-4.5+0.08x

Given the pattern continues in the last two layers use inductive reasoning to predict the pattern in the bottom layer of the triangle

1+3+7+15+31+63+7

Given the pattern shown above continues in the last two layers, use inductive reasoning to predict the pattern in the bottom layer of the triangle?

1+6+15+20+15+6+1

The United States day is over 18628000000000. How would you most likely see this number correctly represented?

1.8628 x 10^13

Triangle A'B'C' is a dilation of triangle ABC. Find the scale factor if AC=2*A'C

1/2

The area enclosed by the rubber band can be calculated by using which of the following expressions?

1/2bh

Sea-tac airport in Seattle, has a flight leaving for Dallas every two hours in a flight leaving for Washington every 45 minutes. At 5 AM on Monday, a flight to Dallas and a flight to Washington leave at the same time. What is the next time that flights to Dallas and Washington will leave at the same time?

11:00 AM the same day

Which of the following numbers is divisible by six?

12960

Two airplanes are spotted on a radar map located at the coordinates.... Determine the distance the airplanes are apart and state your answer in decimal form to the nearest hundreds. Assume the coordinates are given so that the distance is in units of miles

13.49 miles

Arrange the following from smallest to largest. 14 inches, 1 foot, 0. 4 yards, 15 CM

15 CM, 1 foot, 14 inches, 0.4 yard

Express 0.7083 repeating as a fraction

17/24

Shawn arrives in Alaska to go fishing at a lake in the wilderness. What weight in kilograms or grams must John be under to be equivalent to 400 pounds?

180kg

What is the multiplicative inverse of 0.5?

2

Illustrative math problem Mr. Laston throws a pencil with sticks somewhere between 25 inches x 10 inches acoustical tile in the classroom ceiling. What was his answer rounded to the next highest number?

255

Which of the following does not describe a method of finding the volume of a cylinder?

2pi rh

If a cube is to be cut into eight equal cubes and the surface area of the original cube is to defined as X, write an expression to find the sum of the surface areas of all eight smaller equal cubes in terms of X.

2x

In converting 5 in.³ to centimeters cubed using the basic unit of (1 in =2.54 CM), how many times should five be multiplied by 2.54

3

Determine whether the whole numbers are a close set (or interval) under the given operations?

Addition and multiplication

A few students from a fourth grade class we're having trouble understanding how to add a column of numbers. So the teacher has created a lesson plan today introducing the following partial sums algorithm. Which answer below most accurately describes what the teacher my accomplished with this?

All of the above

Select the choice below that is not a characteristic of a perpendicular line?

All perpendicular lines have slopes which product is -1

The teacher has students match each numerical value in column a with a description it corresponds to in column B. The teacher is most likely assessing students understanding of which of the following.

Appropriate representation of real numbers

Students in a fourth grade class are working with geoboards........ The teacher shows the students how to add the squares and fractions of squares and close by the rubber band to count the total number of squares within the triangle. This activity would best promote the students understanding of which of the following Geometry concepts?

Area

The formula Limx->0 f(a+h)-f(a)/h It's not used in the following

Average rate of change from x=a to x=a+b

State the degree of the polynomial in right the polynomial that passes through the points (-3,0),(-1,0)(1,0) and (4,0).

Degree 4; f(x)=(x+3)(x+1)(x-1)(x-4)

Students in Mr. Stephens fourth grade class are working on a project for the cross country team involving motion in one dimension. If Mr. Stevens Students wanted to provide an estimate of the total distance the runner has run between zero and 12 seconds which of the following approaches should I use?

Determine the area that is under the curve between 0 and 12 seconds

In a small rural area of West Texas, a farmer receives his electric bill for watering his crop last month. He has used 4011 KW hours and was charged $379.90. Assuming that each KW of electricity cost the same and there is not a base charge, he wants to calculate how much electricity he has already used in the current month. He reads his electric meter and discovers that he has used 6085KW hours this month so far. Which method would not be appropriate to calculate how much the farmer is the electric company currently?

Divide 4011 by $379.90 to calculate the rate per KW hour and then multiply this by the number of KW ours to be used this month

Which of the following does not have real roots?

F(x)= -2(x-3)^2-5

Since the area of a rectangle is a=l x w, What is the area of a triangle?

Lw/2

Mary helps her mom wash dishes on nights that she does not have too much homework. Mary helped her mom wash dishes three times last week and earned $4.50. If Mary helps her mom wash dishes every night of the week she earns $10.50 a week. Determine the slope of the linear equation the best models the scenario.

M=1.5

In a proportion of 3/6=5/x, the linear equation of y=2x can be used to solve the proportion just as cross multiplication can be used to solve the problem. Can a linear equation of y=2x+1 be used to solve a proportion?

No

Which method below does not to find a function?

Passes the horizontal line test.

Which choice represents an element whose only factors are itself and one?

Prime numbers

Given the task of computing two consecutive even numbers whose sum is 50. Let X represent one number. Determine the choice below that should represent the second number.

X+2

Write the equation of a line in standard form through the point (1,6) and perpendicular to the line 2x-y=9

X+2y=13

Determine the linear inequalities represented in the graph

X<5

F(x) =x^2 down three units. Which of the following does not describe the axis of symmetry of g(x)?

X=-3

Write an equation of a line in standard form through (2,-4) and parallel to the line X =5

X=2

Using your knowledge of angles and angle theorems find the value of X in the chart that follows.

X=20

A lady wants to build a regular hexagon shaped gazebo in her flower garden with an outside dining area to the right....... Determine x and y.

X=60, y=120

John is 12 years old. His dad paid him $15 to mow the lawn three times last month. If he mows the lawn five times this month, using the properties of proportions how much can he expect? This particular problem could have been solved by developing a linear equation instead of using proportions. Determine the linear equation that can be used to solve this problem.

Y=5x+0

A math tutor decides there is a demand for her services. She offers tutoring sessions three times a week in two hour blocks. She pays $30 per hour to rent a room which covers utilities. The packet she provides for each student for the week with study material and examples cost her five dollars. Write her cost equation for each week and identify the marginal cost in fixed costs.

Y=5x+180, marginal cost $5, and fixed cost $180

Which of the following has an irrational rather than a rational solution?

Y^2 -5=0

Solve for y. 3x-2y>_ 5

Y_< 3/2x- 5/2

Use the letters below to answer the question that follows. ETVD , Students are classifying the letters of the alphabet according to the type of symmetry they have which of the following letters has the same kind of symmetry does the letter shown above?

M

The following that is for a__________

Hexagonal pyramid

The basic graph of Y= square root of x is the following: explain the transformation process of Y=- square root of x.

The graph is reflected across the X axis

Which of the following is an example of the additive inverse element?

3 + (-3)=0

what is the missing number? 4, 12, 36, 108,____,972

324

Calculate the area of the following figure.

35

A line is drawn through a point and two straight angles are formed. A second line is drawn through the same point perpendicular to the first line and two more angles are formed. Now the four angles are 90° angles. Determine the sum of the angles as two or more lines are drawn splitting each of the four angles in half.

360

Write the equation of the line in standard form for a line through (3.2) and parallel to 3x-2y=9.

3x-2y=5

Find the slope of the line

4

Students are using pattern blocks shaped as congruent equilateral triangles to construct a fraction problems. Which of the following fractions does the parallelogram represent?

4/7

The temperature of the water in a hot bath ( between 100-112 degrees Fahrenheit) might be which of the following:

40 degrees C

Start with the cube root of four. Now square it three times in succession. Which of the following is equivalent?

4^8/3

Walter looks forward to Fridays because his teacher plays his favorite math game during math period. She gives the class a number and the students write an expression to equal the number. The object is to use some unusual methods to calculate the number because the class wants to get as many different answers as possible. Today the teacher gives the number 24 which of the following is the correct expression two equal 24?

60/3+6-2*(-1)^0

Estimate the square root of 51

7.14

Given that a, B, and C are whole numbers, if a/b=4 and b/c=2, what is the value of a/b+c?

8/3

Solve for X in the following logarithmic equation. X=3log3 9

9

Solve the following logarithmic equation. x=3log3 9

9

The letters a, B, and C represent whole numbers greater than zero with a<b<c. Which of the following numbers is the greatest?

C/A

Which counting technique method should be used to determine how many possibilities exist in forming a committee of six members in a high school that has 38 faculty members available to serve on this committee?

Combinations

A fourth grade class is given the assignment of finding the total fee in a cylinder the unit of measurement that should be part of their answer is which of the following

Ft^3

The graph of the function G is formed by shifting the graph below of f(x)=x^2 to the right three units and up two units. Which equation below represents the function of G?

G(x)= (x-3)^2+2

In reducing a fraction, which of the following ideas of number theory is used?

Greatest common divisor

Determine the choice that does not relate to the following 10x+5

Saw for the value of X

Given the assignment of converting 215°F to Celsius, a sixth grader comes up with an answer of 101.7°C. Evaluate the reasonableness of converting 215°F to 101.7°C.

Since the boiling point in Fahrenheit is 212° and the boiling point in Celsius is 100°, the answer seems reasonable

Why are y and y0 The same value at the start of the time being evaluated in the exponential growth and decay function (y=y0e^kt)?

If k=0, then e^kt=1

Define the cross section of the cone and the plane.

Isosceles triangle

When finding the slope of a line connecting two points A(3,2) and B(4,-5) by using the formula m=y2-y1 / x2-x1, does it matter if 4 is x1?

It does not matter if the x-coordinate of the first ordered pair or the second ordered pair is substituted in for x1 as long as the pattern is followed with the Y coordinate of that ordered pair

And adding the following fractions which of the following ideas of number theory is used? 2/3+1/2+3/8

Least common multiple

Troy and Walter are neighbors. They both have mowed the grass today. Troy mows his grass every three days. Walter mows his grass every five days. How many days will it take before they both mow their grass on the same day? Based on the word problem, lesson will most likely cover which of the following?

Least common multiple

Why is the identification of a vertical line and a horizontal line the same, written in both slope intercept form and standard form?

Since there is only one variable, there is no difference in how the lines are written in both of these forms.

The distance formula find the distance between two points. Another concept can be used in its place to find the distance between two points. Determine which choice below is basically the same as the distance formula.

Pythagorean theorem

Which number system is a repeating decimal a member of?

Rational

What graphing technique is used to describe the difference in the graphs of y= x^2 and y=-x^2?

Reflection

Use a graphing calculator to determine how the difference of the area changes under the curves of f(x)= square root of x and f(x)= 4 square root of x as x goes to infinity.

The difference in the two areas increases

Determine the answer below that best describes the symmetry of the graph of x=y^2-3.

The graph is symmetric with respect to the X axis

Using the parabola y=2(x-3)^2-6, explain the transformation process from the basic formula of a parabola y=x^2

The parabola is shifted three units to the right and down six units

What previous lessons taught for exponent should be reviewed before teaching a lesson on properties of logarithmic functions involving a problem like the following? Write the following expression as a single logarithm with coefficient one. -2/3log5(3m^2) + 1/2log5(9m^2)

The product rule, the power rule, and negative exponent rule for exponents

Determine the choice that is not a characteristic of logarithmic functions [f(x)=logb X

There is a property of logarithms to rewrite a logarithm of a sum

Which could be used to find two consecutive even numbers whose sum is 80?

There is not a solution

Figure 2 represents a________ of figure 1.

Translation

Which figure is two dimensional?

Triangle

Workers at a local factory make $8, $10, or $12.50 per hour. Each receives a $50 weekly gas allowance. Let H=hours and R=rates. Which expression can be used to represent the gross weekly pay of each individual?

hr +50