Is the following number rational or irrational? Explain your reasoning.
-5/4
rational because it ends
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
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
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
Which of the following functions are linear?
Function A
Function B
Function A has a constant rate of change.
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.
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
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

y = -6x + 7
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
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
Triangle DEF is congruent to triangle ABC.
What transformation maps ∆ABC onto ∆DEF?
Reflection across the vertical line/y - axis
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
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
Graph the system of equations below and find the solution.
y = −2x + 1
y = −x + 2
The graphs should intersect at (-1, 3)
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 
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)
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 
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
Which triangles are similar?
A and B are similar
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
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
Complete the table below.

B C P Total
Females 13 6 28 47
Males 17 19 17 53
Total 30 25 45 100
What is the value of x?
x = 12
Solve the system of equations below.
4x − 6y = 30
3x + 7y = 80
(15, 5)