Real Numbers
Geometry
Statistics
Linear Equations
Misc
100

Is the following number rational or irrational?  Explain your reasoning.

-5/4

rational because it ends

100

The side lengths of different triangles are given. Which triangle is a right triangle? Prove your answer.

 7, 8, 14

 6, 12, 13


7, 8, 14

49 + 64 does not equal 196

 6, 12, 13

36 + 144 does not equal 169

100

The scatter plot shows the total number of tests and the number of incorrect items.

Part A

    What is the equation of the linear model using two points on the line?

A.    y = x + 7

B.    y = x − 7

C.    y = -x + 7

D.    y = -x − 7

C

100

The graph shows the relationship between the number of granola bars and amount of calories per bar.

Write an equation to represent the calories for x bars of granola.

y = 150x

100

Which of the following functions are linear?

Function A

Function B

Function A has a constant rate of change.

200

A cube has a volume of 27 cubic units. A square has an area of 16 square units. Which of the following statements is true?

A.The side length of the cube is greater than the side length of the square.

B.The side length of the cube is less than the side length of the square.

C.The side length of the cube is equal to the side length of the square.

D.The side length of the cube is 4 units and the side length of the square is 3 units.

B. The side length of the cube is less than the side length of the square.

200

The side lengths of different triangles are given. Which triangle is a right triangle?  Prove your answer.

       

    

18 + 7 = 25 (YES)

24 + 50 does not equal 169

200

The scatter plot shows the total number of tests and the number of incorrect items.

Part B

    Select all the patterns that correctly describe the graph.


    linear association

    strong positive correlation

    strong negative correlation

    outliers for data

    no outliers for data

    linear association

    strong negative correlation

    no outliers for data


200




y = -6x + 7

200

Lei is renting a paddle board from a local shop that charges a $12 fee, plus an hourly rate of $8.50. 

a.  What is the equation that represents this situation?

b. For how long can Lei rent a paddle board if she pays a total of $80?  

8.5x + 12 = 80

x = 8 hours

300

Which expression is equivalent to the expression below. Make sure exponent is positive.

(4^3)^2 • 4^-8


(4^3)^2 • 4^-8

4^6 • 4^-8

4^-2

(1/4)^2

300

Triangle DEF is congruent to triangle ABC.

   

What transformation maps ∆ABC onto ∆DEF?

Reflection across the vertical line/y - axis

300

The results of a survey are represented in the two-way frequency table below. Complete the two-way frequency table.

   




16   22    38

20   22    42

36   44    80

300

Match each equation to its number of solutions.






3(2x - 3) = -6x - 9

6x - 9 = -6x - 9 -->  One Solution

3(2x - 3) = 6x - 9

6x - 9 = 6x - 9 -->  IMS

3(2x - 3) = 6x - 5

6x - 9 = 6x - 5  -->  No Solution

300

 Graph the system of equations below and find the solution.

    y = −2x + 1

    y = −x + 2

The graphs should intersect at (-1, 3)

400

Select all of the statements that are true about the .

     is a rational number.

     is an irrational number.

    The approximate value of  is between 2 and 3.

    The approximate value of  is between 3 and 4.

    The

     is an irrational number.

    The approximate value of  is between 2 and 3.

    The

400

Triangle DEF is congruent to triangle ABC.

If triangle ABC is translated 3 units right and 2 units down, what would the coordinates of triangle A’B’C’ be?

A'(-1, 2)

B'(2, -1)

C'(-1, -1)

400

Select all the intervals on which the graph of the function is NOT decreasing.

    Interval 1           Interval 3

    Interval 2           Interval 4

    All

    Interval 1  

    Interval 4

400

The graph of a function is a line that passes through points (6, 20) and (8, 42). What is the equation of this function?

Hint:  

Step 1: Find the slope.

Step 2:  Plug the slope and one set of points into y = mx + b to find what the y intercept is.

y = 11x - 46

400
  1. Which triangles are similar?

A and B are similar

500

Mars is on average 2.25 x 10^8 miles away from Earth. The moon is on average 2.388 x 10^5 miles away from Earth. Approximately how many times farther is Mars from Earth than the moon is?

A.    0.94 times

B.    9.4 times

C.    94 times

D.    940 times

D. 940 times

500
  1. Ella is making a solid clay sculpture in the shape of a cone.

    How much clay does Ella need? Use 3.14 for and round to the nearest cubic inch.

V = 151 inches ^3

500

Complete the table below.


                B     C       P     Total

Females    13    6     28     47

Males       17   19    17      53

Total        30   25   45      100

500

What is the value of x?

x = 12

500

Solve the system of equations below.

4x − 6y = 30

3x + 7y = 80

(15, 5)