SSIA #3 Review

Multiple Choice

Identify the transformation from ABC to A'B'C'.

• 90^o clockwise rotation

• 90^o counter clockwise rotation

• Reflection across the y-axis

• Reflection across the x-axis

Multiple Choice

Phil collected data from several of his friends about the number of hours they spent sleeping and the number of hours they spent playing video games on Saturday.

Based on the scatterplot, what is the best prediction of the number of hours one of Phil's friends spends sleeping when the friend spends 1 hour playing video games?

• 9 hours

• 11 hours

• 7 hours

• 8 hours

Multiple Choice

Which scatterplot suggests a linear relationship between x and y?

Multiple Choice

Which scatterplot does NOT suggest a linear relationship between x and y?

Multiple Choice

The daily attendance at a bowling alley was recorded for 15 days. The scatterplot shows the number of lanes rented each day and the number of people who bowled that day. Which statement is best supported by the scatterplot?

• There is a non-linear assocation between the number of lanes rented and the number of people who bowl.

• There is a negative linear association between the number of lanes rented and the number of people who bowl.

• There is no apparent association between the number of lanes rented and the number of people who bowl.

• There is a positive linear association between the number of lanes rented and the number of people who bowl.

Multiple Choice

Julie made 25 international long-distance phone calls to London last month. The scatterplot below shows the length and cost of each phone call she made. Which conclusion is best supported by the scatterplot?

• As the length of a call increases, the cost of the call increases.

• As the length of a call increases, the cost of the call remains the same.

• As the length of a call increases, the cost of the call descreases.

• There is no relationship between the length of a call and the cost of a call.

Multiple Choice

Identify the transformation.

• Reflection across y-axis

• 90 Rotation counter clockwise

• Translation 5 units left, 1 unit up.

• Translation 5 units right, 1 unit down

Multiple Choice

Point (-5,2) is reflected over the y axis.  Where is the new point located?

• (5,2)

• (-5,-2)

• (-5,2)

• (5,-2)

Multiple Choice

Dilate the figure by a scale factor of 3 with the origin as the center of dilation. What are the coordinates of the image?
A(3,3) B(6,6) C(9,3)

• A'(9,9) B'(18,18) C'(27,9)

• A'(6,6) B'(9,9) C'(12,6)

• A'(0,0) B'(3,3) C'(6,0)

• A'(1,1) B'(2,2) C'(3,1)

Multiple Choice

Triangle A is rotated 270° counterclockwise with the origin as the center of rotation to create a new figure. Which triangle shows the new location?

• A

• B

• C

• D

Multiple Choice

Rotating Counter Clockwise means to...

• Rotate to the left

• Rotate to the right

Multiple Choice

What is Dilation?

• Dilation means to enlarge or reduce

• Dilation means to reflect on something

• Dilation means to like something

• Dilation means to make something different by making it smaller

Multiple Choice

The goal of solving a one, two, or multi-step equations is to:

• Find the constant

• Find the coefficient

• Find the value of the variable

• Be confused

Multiple Choice

Solve for f:
f - 4 = 6f + 26

• f = -5

• f = 5

• f = 6

• f = -6

Multiple Choice

Solve for x:
5x - 14 = 8x + 4

• x = 6

• x = -6

• x = -18/13

• x = 10/3

Multiple Choice

Solve for a:

9+2a = -3-4a

• a=5

• a= -1

• a= -2

• a=2

Multiple Choice

Simplify by combining like terms:
4x² - 3x + 11 -2x

• 4x² - 5x + 11

• 11x + 11

• 16x² - 5x + 11

• 10x²

Multiple Choice

Combine like terms:  4y + 8d - 2y + 3d

• 11d + 6y

• 11d + 2y

• 6y + 5d

Multiple Choice

2x - 5x =

• -3x

• 3x 

• -3

• 3

Multiple Choice

Simplify the expression
11(9 + d)

• 99 + d

• 20 + 9d

• 20 + d

• 99+11d

Multiple Choice

3(2c - 5)

• 6c - 15
• 6c + 15
• 6c + 15
• -6c - 15

Multiple Choice

12(3 + 4) =

• 36 + 48
• 15 + 16
• 123 + 124
• 0.84

Multiple Choice

What does "m" represent in y=mx+b?

• y-intercept

• slope/growth

• macaroni

• nothing

Multiple Choice

What is the y-intercept/starting point in the following equation:  y=-4x-5

• -4

• -4x

• 5

• -5

Multiple Choice

If m = 3 and b = 6, what is the correct equation?

• y=3-6

• y=3x-6

• y=3x+6

• y=6x+3

Multiple Choice

Which line has a growth of 0?

• Line A

• Line B

• Line C

• Line D

Multiple Choice

Solve for y to get an equation -8x+2y=4

• y= 1/2 + 8x -4

• y= 2 - 4x

• y= 4x + 2

• y= 4x - 8y

Multiple Choice

Which equation represents the following graph?

• y = 3x + 2

• y = -2x + 3

• y = 2x + 3

• y = -3x + 2

Multiple Choice

Where would your first dot go to graph this equation?  y=3x-4

• negative 4 on y-axis

• negative 4 on x-axis

• positive 3

• positive 3 on y-axis

Multiple Choice

What are the steps to graphing this line?

• rise 3 run 2

• put a point at 1, then rise 2 run 2

• put a point at 1, then rise 3 run 2

• put a point at 0, then rise 2 run 2

Multiple Choice

In the equation, y = mx + b, the letter b is the ___________.

• y-intercept/starting point

• x-intercept

• slope

• rate of change

Graphing Linear Equations

What is a Linear Equation?

An equation whose graph is a line.

Multiple Choice

Which of the following shows a linear equation?

A linear equation can be shown 3 ways:

• xy table

• graph

• equation

Evaluating Linear Equations

What does it mean to evaluate?

Evaluating Linear Equations

• Replace the variable with its value

• Follow the Order of Operations

• You will find the answer - the value of the whole equation

Make an XY Table

• Evaluate each x value

• That number will go in the y box next to its x value

Evaluate y = 2x + 1 when x = -1

Evaluate y = 2x + 1 when x = 0

Evaluate y = 2x + 1 when x = 1

Here's the complete XY Table

Notice the pattern?!?

The values on the XY Table can become ordered pairs.

Ordered pairs are shown in the format (x, y)

Ta-Da! The graph is a straight line!

If you don't get a straight line, you made a mistake somewhere in your calculation or graphing.

Graphing Slope-Intercept Form

How to graph y=mx+b

Linear Graph

An equation whose graph is a line is a linear equation. You can plot points on a coordinate plane to graph a linear equation.

Example: y = -4x + 4.

X and Y Intercepts

Linear equations have x and y-intercepts. The x-intercept is the x-coordinate of the point at which the graph crosses the x-axis. The y-intercept is the y-coordinate of the point at which the graph crosses the y-axis. 

Multiple Choice

What is the x-intercept of the graph?

• (5,0)

• (0,5)

• (0,4)

• (4,0)

Multiple Choice

What is the y-intercept?

• (0,15)

• (3,0)

• (15,0)

• (0,3)

Multiple Choice

What is the x-intercept?

• (-2,0)

• (0-6)

• (0,-2)

• (-6,0)

Multiple Choice

What is the y-intercept?

• (2,0)

• (0,2)

• (0,-2)

• (-2,0)

m=Slope

In y=mx+b, m is the slope. Slope is the rate of change of the line, or the change in y over the change in x. We say "Rise over Run" to remember this.

Multiple Choice

What is the slope of the line y=2x-7?

• 7

• 2x

• 2

• -7

Multiple Choice

Given the line y=5x+1, what is the rise over the run?

• 5/1

• 1/5

• 1/1

• 5/5

b=y-intercept

In y=mx+b, b is the y-intercept, which is where the line crosses the y-axis. If you have slope-intercept form, b is always your starting point when you are graphing a line.

Multiple Choice

When graphing a line, where will you start?

• On the x-axis at the x-intercept

• Start at the origin and use the slope to find the next point

• On the y-axis at the y-intercept

• Anywhere on the graph works

What if the line isn't given to me in slope-intercept form?

Sometimes, lines are in other forms, like standard form (for example, 6x+3y= 9). You can solve this for y to convert the equation to slope-intercept form, so you can easily graph using the slope and the y-intercept.

Multiple Choice

Solve 5x+3y=8 for y.

• $$y=\frac{5}{3}x+\frac{8}{3}$$

• undefined

• $$y=-5x+8$$

• $$y=x$$