Unit 1
Unit 2
Unit 3
Unit 4
Unit 5
Unit 6
Unit 8
100
Describe the definition of an exponent
An exponent is a number representing the power of which the number is being raised too.
100
Define the term “y-intercept” and find the variable that represents it in the y=mx+b equation.
b= y-intercept
A y-intercept is what Y equals when X is zero or where the line on a graph intersects the y axis.
100
What is the difference between linear and nonlinear?
If something in math such as a graph, table, or equations is linear it means that as x grows, y grows in proportion to it. If an equation/graph is nonlinear it means that x and y do not grow in proportion to each other.
100
What is the definition of a median?
The median is essentially the middle number in a set of values.
100
Define what it means when an equation has no solution.
This happens when an equation has the same slope but different y-intercepts which leads to a no solution.
100
Define translation
A translation is a transformation that moves/ slides every point of the figure the same distance and direction.
100
State the formula for the Pythagorean Theorem
A2 + B2 = C2
200
6-5
0.000128…
200
What is the slope of this graph
(Each “notch” is equal to one.)
The slope is equal to -3/2
200
Does this table have a linear or non linear relationship?
This table has a linear relationship. As “X” grows by 3, “Y” grows by 4.
200
Does this graph have a positive, negative, or no relationship?
This graph has a negative relationship because the data is going down from left to right.
200
Rewrite this equation in y=mx+b form.
6x-3y=9
y= -3+2x
200
If point C be was rotated 270 degrees and translated 5 units to the right and 2 units down what would point C’ be?
(5,1)
200
There is a donut hole with a radius of 2cm. What is the surface area rounded to the nearest whole number?
50cm2
300
(32)4
6561
300
What is the y-intercept of this graph?
The y-intercept is a positive three
300
In a funnel cake recipe for 2 ½ cups of flour there is 3 tablespoons of sugar. If someone wanted to make triple batch funnel cakes how much sugar and flour would they have? Is the relationship or nonlinear?
The relationship is linear. If you made a triple batch of pancakes you need 7 ½ cups of flour and 9 tablespoons of sugar.
300
Does this graph have a positive, negative, or no relationship?
The scatter plot shows no relationship since the data is scattered around the graph.
300
Solve
y=-4x+4
y=5x-5
(1,0)
300
If point A was translated down 2 and left 1 then rotated 90 degrees what would be the point of A’?
(1, 2)
300
Find the volume of a cylinder with 5 cm radius and a height of 12 cm rounded to the nearest whole number.
The volume is equal to 942in3.
400
Seymour works at a bakery. He is packing a batch of 81 cupcakes. Each box can hold 9 cupcakes, Seymour is trying to figure out how many boxes he will need to use. Seymor soon realizes that the answer of his problem is equal to the square root of 81. What is the square root of 81 and how many boxes will Seymour need to package all of his cupcakes?
The square root of 81 is 9, meaning that Seymour will need 9 boxes to package all of his 81 cupcakes.
400
Sarah has $320 in her bank account. Everyday she pays 5 dollars for her afternoon slice of pie. If Sarah bought a slice of pie every afternoon for 16 days how much money would she have left in her bank account? Write the equation and figure out her bank account total after 16 days.
y=-5x+320
Sarah would have $240 after 16 afternoon pies
400
Which has a greater rate of change?
y=3/4x + 8 or the graph?
The equation y=3/4x+ 8 is greater because ¾ is greater than ⅓
¾ > ⅓
400
Sally interviewed her friends on if they liked cupcakes or cakes more? One group of her friends was aged 10-12, the other was 12- 14. She has a total of 30 friends responding, with 17 liking cupcakes more. 11 of the 10-12-year-olds like cupcakes better and 7 12-14-year-olds like cake better. Fill out the frequency table to complete the question.
400
Stella and Stevie both went to the farmers market. Stella bought x cupcakes for $6 a piece and Stevie bought x cookies for $6 a piece. After this Stella went and bought a pie for $15 dollars while Stevie bought a cookie cake for $10. Write the equation for this problem and figure if they could’ve spent the same amount of money? Explain your answer.
y= 6x+15
y=6x +10
There is no solution to this problem because they have the same slope but different y-intercepts.
400
There is a rectangular pan of brownies, A (2,3), B (5,3), C (2,1), D (5,1). If the pan of brownies was reflected over the y axis and dilated on a scale factor of 2 what would A’ be?
A’ (-4,6)
400
There is a cylinder shaped package that holds cookies. The radius of the package is 6 cm and the height is 12cm. What is the volume of the cylinder shaped package rounded to the nearest whole number?
1356 cm3
500
Samantha had had 24 cookies and tried to split them up between 7 of her friends. When she divided 24 by 7 she got the value of 3.42857… is this number rational or irrational?
This number is irrational because it does not terminate or repeat.
500
Sage has $0 dollars in her bank account to start off with, but then starts babysitting for a family once a week and gets paid $30. Sage is saving for a new phone that costs $660 dollars. Right the equation in y=mx+b form and solve for how many weeks it would take Sage to save up for her phone.
y=30x
It would take 22 weeks for Sage to save up for her phone
500
Sabrina claims from seeing the graph below that for every ½ cups of fondue you need ¼ cups of strawberries. Is Sabrina correct, why or why not? Is the table linear or nonlinear?
Sabrina is incorrect because the table is nonlinear so she would not be able to truly figure out the equation for the fondue and strawberries.
500
Sampson owns a bakery and asked 50 customers if they like croissants, eclairs, or macaroons better. He interviewed one group in the morning and another in the afternoon. He had 8 customers in the morning say they liked croissants the most, 14 people in the afternoon liked macaroons the most, and 9 people in the morning liked eclairs the most. There were a total of 16 people who liked croissants and 13 people who liked eclairs the most. Finish the frequency table to complete the problem.
500
Sebastian eats a brownie a day and starts with 20 brownies, while Sally eats 2 brownies a day and starts with 25. Write the equations in y=mx+b form and solve to find if and when Sebastian and Sally will have the same amount of brownies left and on which day.
y= -x+20
y=-2x+25
It will take them 5 days and they will be left with 15 brownies each.
(5,15)
500
There is a beignet that has the points A’ (-3, -2) B (-5,-4) C(-1,-4) D(-3,-6). If the beignet was rotated 180 and then reflected over the x-axis what would the points A’ B’ C’ and D’ be?
A’ (3,-2) B’ (5,-4) C’(1,-4) D’ (3,-6) would be the re-new points after the rotation.
500
At an ice cream shop here there are sugar cones with a radius of 1 in and a height of 4in. What would be the volume of this sugar cone rounded to the nearest whole number?
The volume of this sugar cone rounded to the nearest whole number is 4in3