8th Grade Q1 Review and Q2 (so far...)

​Daily Math Review

By Jessica Freeman

​Transformations Review

Multiple Choice

A slide is also called a _________.

• Translation
• Reflection
• Rotation
• Transformation

Multiple Choice

A turn is also called a ___________.

• Translation
• Reflection
• Rotation
• Transformation

Multiple Choice

A flip is also called ___________.

• Translation

• Reflection

• Rotation

• Transformation

Multiple Choice

Name the transformation.

• Translation
• Reflection
• Rotation

Multiple Choice

The image shows what type of transformation

• Rotation
• Translation
• Reflection

Multiple Choice

a transformation that changes the size of a figure, but not the shape

• translation
• rotation
• reflection
• dilation

Multiple Choice

What Transformation is visible?

• Translation
• Rotation
• Reflection
• Dilation

Multiple Choice

What Transformation is visible?

• Reflection
• Translation
• Dilation
• Rotation

Multiple Choice

Identify this transformation.

• Dilation

• Rotation

• Translation

• Reflection

Multiple Choice

Is the picture being reflected across the y-axis or the x-axis?

• y-axis

• x-axis

Multiple Choice

Describe the Transformation

• Dilation

• Reflection

• Translation

• Rotation

Multiple Choice

Which answer shows a reflection across the y-axis?

• a
• b
• c
• d

Multiple Choice

What is this picture an example of?

• Reflection

• Translation

• Rotation

• Dilation

Multiple Choice

Which of the following describes the sequence of transformations shown?

• Reflect across the x-axis and then reflect across the y-axis.

• Translate up and then rotate 90 degrees about the origin.

Multiple Choice

What sequence of transformations could map ∆ABC onto its image ∆A''B''C''?

• a reflection followed by a translation

• a translation followed by a rotation

Multiple Choice

Identify the sequences of transformations from the green image to the red image to the blue image.

• translation then rotation

• translation then reflection

• rotation then reflection

Multiple Choice

Identify the sequences of transformations from the red image to the blue image to the green image.

• translation then translation

• rotation then rotation

• reflection then translation

Multiple Choice

What is the sequence of transformations?

• Reflect over the y-axis then reflect over the x-axis

• Reflect over the x-axis then reflect over the y-axis

• Rotate 90˚ counter-clockwise about the origin then reflect over the x

Multiple Choice

What type of transformation is shown?

• Translation

• Reflection

• Rotation

Multiple Choice

Choose the correct transformations

• right 1, down 4, and then reflection over the y-axis

• right 6, and then reflection over the x-axis

Multiple Choice

Choose the correct transformations

• rotate 90 degrees counter-clockwise around the origin, and then reflect over the x-axis

• right 1, down 4, and then reflection over the y-axis

• right 6, and then reflection over the x-axis

• reflection over the line y=x, and then translate up 4, right 2

Solving equations in one variable-SHOW YOUR WORK ON PAPER

Multiple Choice

-7(x + 3) 

• 7x+21
• -7x-21
• -7x+21
• 7x-3

Multiple Choice

3(9 + 2d) + 4d 

• 18d+10d
• 18d-10d
• 27+10d
• 37d

Multiple Choice

Simplify the following expression:
 8a - 2(7a -3)

• 8a - 14a - 6
• -6a + 6
• -6a - 6
• -6a - 3

Multiple Choice

Solve the following equation for x:
8x - 12 = 6x

• x = 6
• x = 12/14
• no solution
• x = 2

Multiple Choice

Solve the following equation for x:
6x + 2 = 8x - 2

• x = -1
• x = 1
• x = 2
• x = 10/14

Multiple Choice

Solve the following equation for x:
10x - 3 = 3x + 32

• x = 3
• x = 4
• x = 5
• no solution

Multiple Choice

Solve the following equation for x:
3x + 8 = 8 + 3x

• x = 3
• x = 8
• identity
• x = 0

Multiple Choice

Solve the following equation for x:
4(2x - 3) = 6x + 2

• x = 5/2
• x = 7
• x = 1
• no solution

Multiple Choice

Solve the following equation for x:
4x - 9 = (-9) + 4x

• no solution
• infinite solutions
• x = 0
• x = -9

Multiple Choice

Solve the following equation for x:
10x + 2x + 5 = 8x + 4x + 7

• no solution
• infinite solutions
• x = 12
• x = 0

Multiple Choice

Name the first property you will use to solve this equation:
3(x – 7) = 42

• Multiplication Property of Equality
• Commutative property
• Associative Property
• Distributive Property

Multiple Choice

Name the property you will first use to solve this equation:
4x – 5 = 17

• Addition Property of Equality
• Subtraction Property of Equality
• Multiplication Property of Equality
• Division Property of Equality

Multiple Choice

Name the property you will first use to solve this equation:
–2y + 8 = 36

• Addition Property of Equality
• Subtraction Property of Equality
• Multiplication Property of Equality
• Division Property of Equality

Multiple Choice

Name the property of equality being used in the first step:
x/9 = 5
x = 45

• Addition Property of Equality
• Multiplication Property of Equality
• Subtraction Property of Equality
• Division Property of Equality

Multiple Choice

Name the property of equality being used in the second step:
2x – 8 = –4
2x = 4
x = 2

• Addition Property of Equality
• Multiplication Property of Equality
• Subtraction Property of Equality
• Division Property of Equality

Solving equations in two variables

Multiple Choice

How many solutions does this system have?

$$y=3x-5$$  
$$y=3x-5$$  

• one

• infinitely many

• none

• three

Multiple Choice

Two equations, such as y = 3x -6 and y =12 + 4x, together are called a(n)__________.

• equations
• system of equations
• problem
• algebraic expression

Multiple Choice

$$x+4y=6$$

  $$y=2x-3$$  

How many solutions does this system have?

• one

• two

• infinite number

• no solution

Multiple Choice

Suri makes $15 per hour and gets a weekly bonus of $25. Juan makes $14 per hour and gets a weekly bonus of $50. Is it possible for Suri and Juan to make the same amount of wages, y, by working the same number of hours, x, in one week?

• Yes because the slopes of the equations are different so the system of equations will have one solution.

• No because the slopes of the equations are the same so the system of equations will have no solution.

• Yes because the slopes of the equations are the same so the system of equations will have no solution.

• No because the slopes of the equations are different so the system of equations will have one solution.

Multiple Choice

Identify the number of solutions for the system of equations: 2x + 3y = 8 and 4x + 6y = 16.

• Infinite solutions

• No solution

• One solution

• Two solutions

Multiple Choice

How many solutions does this system have?

y = 2x + 4

y = x + 2

• One solution

• No solution

• Infinite solutions

Multiple Choice

Does the system of equations have one solution, no solutions, or infinite solutions?

y=4x - 5

y = 2/3x +6

• one solution

• no solutions

• infinite solutions

Multiple Choice

A system of linear equations with fewer equations than variables always has at least one solution.

• True

• False

Multiple Choice

If the slopes of the two lines in a linear system of equations are ______________, there will be one solution.

• the same

• different

Multiple Choice

What type of solution is found by the following system of equations?

y = -5x + 2

y = -5x + 8

• One solution

• No Solution

• Many solutions

• None of the above

Multiple Choice

How many solutions does this system have?

y = 3x - 8

3x + y = 8

 

 

•  One Solution 

• No Solution

• Infinite Solutions

Multiple Choice

y = -7x + 2 and y = -7x + 3

• no solution

• 1 solution

• infinitely many solutions

Multiple Choice

How many solutions are there?

y = 3x + 5

y = - 3x - 2

• 0
  

• 1

• Infinite

Multiple Choice

How many solutions does the system have?

• Exactly One Solutions

• No Solutions

• Infinitely Many Solutions

Multiple Choice

Does the system have one, none or infinite solutions?

3y = -9x + 21

y = -3x + 21

• One Solution

• Infinitely Many Solutions

• No solution

Multiple Choice

How many solutions does this system have?

y = -x + 3

y = -x + 5

• One solution

• No solutions

• Infinitely many solutions

Multiple Choice

Based on the equations for each line, how many solutions the system would have.

y = -3x + 2

y = -3x + 2

• Infinite Number of Solutions

• No Solution

• One Solution

Multiple Choice

What type of solution will the following system of equation have: 4x + 4y = -20 and x + y = -5

• one soltion

• no solution

• infinitely many solutions

Multiple Choice

What is the type of solution to the system of equations?

y = -2x - 7

y = -2x + 8

• one solution

• no solution

• infinitely many solutions

Solving Systems of Equations by graphing

Multiple Choice

What is the solution to this system?

• (1, -1)
• (-1, 1)
• (0, -2)
• (2, 0)

Multiple Choice

When you graph the exact same equation twice,

• you will have no solution. 
• you will have one solution.
• you will have infinite solutions. 
• you will graph a giraffe. 

Multiple Choice

How many solutions will this system have? 

• No solution
• One Solution
• I Don't Know
• Infinitely Many Solutions

Multiple Choice

If a system of linear equations has one solution, what does this mean about the two lines? 

• Parallel lines
• the same line 
• Intersecting lines

Multiple Choice

What is the solution to the system?

• (3, -1)
• (2, -6)
• No Solution 
• (6, -2)

Multiple Choice

Solve by graphing.
y = 2x + 1
y = 4x - 1

• (1,3)
• (-1,-3)
• (-1,3)
• (3,1)

Multiple Choice

Solve this system of equations by graphing.

y = 1/2x + 2

y = -3x + 9

• (2, 3)

• (-2, -3)

• (3, 2)

• (-3, 2)

Multiple Choice

Solve the following system by graphing.  What is the solution?

• (-4, 2)
• (4, 2)
• (2, -4)
• (2, 4)

Multiple Choice

Solve the following system by graphing.  What is the solution?

• (3, -1)
• (-1, -3)
• (-1, -1)
• (-1, 3)

Multiple Choice

Buzz graphed two lines in order to find the solution to a given system of equations.
What is the solution?

• (-1, 4)
• (1, -4)
• (-4, 1)
• (4, -1)

8.F.A.1-What is a Function vs a relation?

Don't forget to refer to your notes. Tell me why on your paper.

Multiple Choice

Is this mapping a function or not a function? 

• Function
• Not a Function

Multiple Choice

Is this table a function or not a function? 

• Function
• Not a Function

Multiple Choice

Is this set of ordered pairs a function or not a function? 

{5,-2), (3,-5), (2,-5), (0,-2), (-1,-3)}

• Function
• Not a Function 

Multiple Choice

Does the given table represent a function?

• Function
• Not a Function

Multiple Choice

Which graph shows a relation that is a function?

Multiple Choice

Is this graph a function or not a function? 

• Function 
• Not a Function

Multiple Choice

• Function
• Not a Function

Multiple Choice

A relation where every input in matches with exactly one output is called what?

• Relation

• Linear

• Exponential

• Function

Multiple Choice

Is this a function? Explain.

• Yes; it passes the horizontal line test.
• No; it is not a straight line.
• Yes; it passes the vertical line test.
• No; there is a line connecting the dots.

Multiple Choice

A visual- representation of a relation in which an arrow associates each input with its output

• Function

• Ordered Pair

• Mapping

• Relation

Multiple Choice

A relation in which each input is paired with exactly one output

• Function

• Ordered Pair

• Mapping

• Relation

Multiple Choice

Information that can be represented by a set of ordered pairs.

• Function

• Ordered Pair

• Mapping

• Relation

Multiple Choice

What is a test that is used to check if the graph is function or not?

• Multiple Choice

• Vertical Line Test

• Horizontal Line Test

• None of the above

Multiple Choice

 

Is this graph a function or not a function? 

• Function

• Non Function

Multiple Choice

. 

Is this graph a function or not a function? 

• Non Function

• Function

​8.F.A.3-Linear vs. Nonlinear

Multiple Choice

Is this function represented by the graph Linear or Nonlinear

• linear

• nonlinear

Multiple Choice

Is the function represented by the graph linear or nonlinear

• linear

• nonlinear

Multiple Choice

Which graph is linear?

• A

• B

• C

• D

Multiple Choice

Which of the function(s) above are linear?

• Function I, only
• Function II, only
• Function I and Function II, only
• Function I, Function II, and Function III

Multiple Choice

Is the graph pictured a linear or nonlinear function?

• Linear
• Nonlinear

Multiple Choice

Is this function linear or nonlinear?

• Linear
• Nonlinear

Multiple Choice

Is this graph a function?

• Function

• Not a Function

Multiple Choice

Is the graph pictured a linear function?

• Yes

• No

Multiple Choice

Is relation shown a function?

• YES
• NO

Multiple Choice

Is this a function? Explain.

• Yes; it passes the horizontal line test.
• No; it is not a straight line.
• Yes; it passes the vertical line test.
• No; it does not pass the vertical line test

Multiple Choice

Is the relation a function?

• Function
• Not a Function

Multiple Choice

Is this graph a function or not a function? 

• Function
• Not a Function

Multiple Choice

Is this graph a function or not a function? 

• Function
• Not a Function 

Multiple Choice

Is y a function of x?

• function

• not a function

Multiple Choice

Is y a function of x?

• function

• not a function

Multiple Choice

Is y a function of x?

• function

• not a function

Multiple Choice

Which graph represents a function?

Multiple Choice

Which image is NOT the graph of a function?

Multiple Choice

Is y a function of x?

• function

• not a function

Multiple Choice

Is y a function of x?

• function

• not a function

Multiple Choice

What is the rate of change in the equation?
y=8x+6

• 8
• 6

Multiple Choice

What is another name for the initial value?

• origin

• x-intercept

• y-intercept

• rate of change

Multiple Choice

What is the initial value of this function?

• 3

• 0

• -3

• -1

Multiple Select

Select ALL that mean the same thing as the rate of change.

• Slope

• Unit Rate

• Constant of Proportionality (Only if proportional)

• Initial Value

Multiple Choice

Which form represents slope-intercept form?

• $$y=bx+m$$

• $$Ax+By=C$$

• $$y_2-y_1=m\left(x_2-x_1\right)$$

• $$y=mx+b$$

Multiple Choice

Find the rate of change

• 1
• 2
• 11
• Not a constant slope/Non-Linear

Multiple Choice

Find the rate of change

• 3
• -3
• 20
• Not a constant slope/Non-Linear

Multiple Choice

What is the initial value in this equation?
y=8x+6

• 8
• 6

Multiple Choice

What is the rate of change in the equation?
y=8x+6

• 8
• 6

Multiple Choice

Tim bought a new phone.  He paid $125 on the day of purchase, then $50 per month until it was paid off. What is the initial value in this situation?

• 50
• 125

Multiple Choice

Tim bought a new phone.  He paid $125 on the day of purchase, then $50 per month until it was paid off. What is the rate of change in this situation?

• 50
• 125

Multiple Choice

Which function has the GREATEST rate of change?

Multiple Choice

Which function has the GREATEST initial value?

Multiple Choice

What is a possible scenario for the given table?

• You have $8 and get $5 more each day!

• You have $16 and get $2 more each day!

• You have $2 and get $6 more each day!

• You have $6 and get $2 more each day!

Multiple Choice

Choose the correct table. You have $30 and each day you spend $3.50 on lunch.

Multiple Choice

What has the GREATER rate of change. y = 5x +15 OR the graph

• y = 5x + 15

Multiple Choice

What has the GREATER rate of change.

• y = 7x + 10

• Someone who starts with $6 and gets $8 each day.

• y = 5x + 20

• Someone who starts with $8 and gets $6 each day.

Multiple Choice

What has the greater rate of change?

• y = 19x +39

Multiple Choice

What is the greater rate of change.

• If you start with 60 points and get 1 point per assignment.

• y = 1x + 50

• They're all the same!

Multiple Choice

What is the greater initial value?

• If you start with 60 points and get 1 point per assignment.

• y = 1x + 50

• They're all the same!

Multiple Choice

Where do you find the INITIAL VALUE on a table?

• The y- value when $$x=0$$

• The x-value when $$y=0$$

• The y-value when $$x=1$$

• The x-value when $$y=1$$

Fill in the Blank

What is the initial value in this equation? $$y=8x+6$$

Fill in the Blank

What is the rate of change in the equation?

$$y=8x+6$$

Fill in the Blank

What is the initial value of this graph?

Multiple Choice

What is the rate of change?

• $$-\frac{5}{3}$$

• $$-\frac{3}{5}$$

• $$\frac{5}{3}$$

• $$\frac{3}{5}$$

Multiple Choice

Find the rate of change

• 1

• 2

• 11

• Rate of change is not constant (Non-Linear)

Multiple Choice

What is the initial value?

• 1
• 2
• 9
• 11

Multiple Choice

Given the table, write the equation in the slope-intercept form.

• $$y=\frac{3}{2}x+13$$

• $$y=\frac{2}{3}x+13$$

• $$y=\frac{2}{3}x-4$$

• $$y=-\frac{3}{2}x-4$$

Multiple Choice

Alex starts with $150 in their bank account. Each week they are going to save $20 that they earn for babysitting their sister.

What equation represents the story?

• $$y=20x+150$$

• $$y=150x+20$$

Multiple Choice

What is another name for the initial value?

• origin

• x-intercept

• y-intercept

• rate of change

Multiple Choice

What is the rate of change in the following function: $$y=4x-5$$  

• 4

• 4x

• 5

• -5

Multiple Choice

Find the rate of change.

• 4 burgers per person
• 6 burgers per person
• 2 burgers per person
• 2 people per burger

Multiple Choice

Mr. Z is starting his own car club, there is a $30 join up fee and a $5 monthly fee. What is the rate of change?

• 30

• 5

Multiple Choice

What is the rate of change in the following function: $$y=7-14x$$   

• 7

• 14

• -14

• -14x

Multiple Choice

Use the graph to calculate the rate of change.

• 1

• -1

• 2

• -2

Multiple Choice

Find the rate of change

• 1
• 2
• 11
• Not a constant slope/Non-Linear

Multiple Choice

What is the rate of change of the line?

• ^-2/₃

• -1.5

• 4

• ³/₂

Multiple Choice

What is the initial value?

• -3
• 0
• 3
• 20

Multiple Choice

Tim bought a new phone.  He paid $125 on the day of purchase, then $50 per month until it was paid off. What is the initial value in this situation?

• 50
• 125

Multiple Choice

What is the initial value in this table?

• -2
• 2
• 6
• 14

Multiple Choice

What is the initial value of this graph?

• 1
• -2
• 0
• 3

Multiple Choice

What is the initial value in the following function: $$y=4x-5$$  

• 4

• 4x

• 5

• -5

Multiple Choice

What is the rate of this function?

• 1/2

• 2

• -3

• -1/2

Multiple Choice

What is the initial value of this function?

• 4

• 8

• 12

• 16

Multiple Choice

What is the rate of this function?

• 4

• 8

• 12

• 16

Multiple Choice

What is the initial value of this function?

• 2

• 0

• 5/2

• 5

Multiple Choice

What is the rate of this function?

• 2

• 0

• 5/2

• 5

Multiple Choice

What is the rate of this function?

• 4

• 0

• -4

• -8

Multiple Choice

What is the initial value of this function?

• 4

• 0

• -4

• -8

Multiple Choice

What is the initial value of this function?

• -3

• 3

• -5

• 5

Multiple Choice

What is the rate of this function?

• -3

• 3

• -1/2

• 1/2

Multiple Choice

What is the rate of change in the following function: $$y=4x-5$$  

• 4

• 4x

• 5

• -5

Multiple Choice

What is the rate of change in the following function: $$y=7-14x$$   

• 7

• 14

• -14

• -14x

Multiple Choice

Tim bought a new phone.  He paid $125 on the day of purchase, then $50 per month until it was paid off. What is the initial value in this situation?

• 50
• 125

Multiple Choice

What is the initial value in the following function: $$y=4x-5$$  

• 4

• 4x

• 5

• -5

Multiple Choice

What rate describes how one quantity changes in relation to another quantity?

• Rate of Change
• Y-intercept
• X-value
• y = mx + b 

Multiple Choice

What is another word for constant rate of change?

• y -intercept
• slope-intercept form
• slope
• None of the above

Multiple Choice

Tina earns $25.95 per hour, plus a consulting fee of $50. What is the initial value?

• $25.95

• $50

• No of the above

Reorder

Sort slopes in order from greatest to least.

• y=10x

• y=-20+9x

• y=3x+15

• y= -1x+7

• y= -10x

1

2

3

4

5

• 1
• 2
• 3
• 4
• 5

Multiple Choice

During the summer, Briana runs an ice cream shop. Her biggest seller is waffle ice cream cones. She charges $1.85 for a waffle cone, and $0.60 for each scoop of ice cream.

• Y= 1.85X + 60

• y=60X + 1.85

• y=.60X + 1.85

• y= 1.85X -60

Multiple Choice

Find the rate of change

• 1
• 2
• 11
• Not a constant slope/Non-Linear

Multiple Choice

Find the rate of change

• 3
• -3
• 20
• Not a constant slope/Non-Linear

Multiple Choice

What is the initial value?

• -3
• 0
• 3
• 20

Multiple Choice

What is the initial value?

• 1
• 2
• 9
• 11

Multiple Choice

What is the initial value in this equation?
y=8x+6

• 8
• 6

Multiple Choice

Tim bought a new phone.  He paid $125 on the day of purchase, then $50 per month until it was paid off. What is the initial value in this situation?

• 50
• 125

Multiple Choice

Tim bought a new phone.  He paid $125 on the day of purchase, then $50 per month until it was paid off. What is the rate of change in this situation?

• 50
• 125

Multiple Choice

Which company shows a greater rate of change?

• Water's Edge Rafts
• Ryan's Rafts

Multiple Choice

What is another word for rate of change?

• y -intercept

• slope-intercept form

• slope

• None of the above

Multiple Choice

Which is NOT the same as the initial value?

• y-intercept

• b

• m

• Starting point

Multiple Choice

What is the initial value of the function?

• -2

• -1/2

• 0

• 16