Math 8: Term 2 Review

Term 2 Review

By Hannah Kilgore

Part 1 - Linear Functions and Models

Subject | Subject

Some text here about the topic of discussion

Multiple Choice

Which graph is linear?

• Graph A
• Graph B
• Graph C
• Graph D

Slope from a graph

Some text here about the topic of discussion

Fill in the Blanks

Find the slope of the graphed line. You must identify two points on the line to calculate slope

Multiple Choice

Which graph represents the equation y = -2x?

Slope from 2 points

Some text here about the topic of discussion

Multiple Choice

Find the slope of the line that passes through:
(-4, 7) and (-6, -4)

• 2/11
• 13/2
• 3/10
• 11/2

Multiple Choice

Find the slope of the line that passes through:
(5, -10) and (5, -4)

• undefined
• 0
• - 14/10
• 10/14

Multiple Choice

Find the slope of the line that passes through:
(-3, -4) and (7, 6)

• 0
• Undefined
• -1
• 1

Multiple Choice

What is the y - intercept?

• 0

• 5

• - 4

• 4

Multiple Choice

Which equation matches the table?

• y = x 
• y = 5x
• y = x - 4
• y = x + 4

Multiple Choice

Write the equation that created this table.

• y = 3x - 9

• y = 3x + 3

• y = -3x + 3

• y = 6x + 5

Multiple Choice

Is this mapping a function or not a function? 

• Function
• Not a Function

Multiple Choice

Complete the function table for y = -2x + 1.

• -2(2) + 1; -2
• -2(2) + 1; -3
• -2(2) + 1; -1
• -2(2) + 1; 0

Multiple Choice

Compare the initial values of each function.

• The initial value of item I is greater than the initial value of item II.

• The initial value of item I is equal to the initial value of item II.

• The initial value of item II is greater than the initial value of item I.

Multiple Choice

Which linear function has the greatest slope?

• A

• B

• C

• D

Multiple Choice

Which equation passes through the points (2, -5) and (1, -1)

• y=4x-3

• y=3x-4

• y=-4x+3

• y=-3x+4

Multiple Choice

Which equation passes through the points (0,9) and (1, 21)

• y= -4+2x

• y=9+12x

• y=15+9x

• y=16x-4

Multiple Choice

Write the equation of the line in slope-intercept form with slope m = 4 through the point (-2, 5).

• y = 4x - 13

• y = 4x + 13

• y = 4x - 3

• y = 4x + 3

Multiple Choice

Write the slope-intercept form of the equation with the given point and slope.
Through (2,5)  and m= 1/2

• y=1/2x+4
• y=-1/2x-4
• y=4x-1/2

Multiple Choice

A driving range charges $4 to rent a golf club plus $2.75 for every bucket of golf balls you hit. Write an equation that shows the total cost c of hitting b buckets of golf balls.

• c = 2.75b + 4
• c = 2.75b
• c =  4b- 2.75
• c = 2.75b - 4

Multiple Choice

The amount of water in the bucket ( in pints) can be modeled by the equation V(n) = 2n + 7 where n is the number of pitchers used to put water in the bucket.  If the bucket contains 29 pints of water, how many pitchers of water were used to fill it?

• 11
• 65
• 9
• 18

Convert an equation from standard form to y-intercept form.

Some text here about the topic of discussion

Multiple Choice

What is the slope intercept form of the equation
4x - 8y = 72

• y = -4x + 72
• y = -4x - 9
• y = 1/2x - 9
• y = 4x + 9

Multiple Choice

Convert the equation from standard form to slope-intercept form.

• y=-3x+1

• y=3x+1

• y=1/3x+1

• y=-1/3x-1

Write the equation of a line

Some text here about the topic of discussion

Multiple Choice

Write the equation of the line on the graph.

• $$y=2x+3$$

• $$y=-2x-3$$

• $$y=\frac{1}{2}x+3$$

• $$y=-\frac{1}{2}x-3$$

Multiple Choice

What is the equation of this line?

• y=4x-2

• y=x+2

• y=2x+4

• y=2x-2

Multiple Choice

What is the y-intercept shown on the graph?

• (0, -2)
• (3, 0)
• (0, 3)
• None of these.

Multiple Choice

What is the x-intercept shown on the graph?

• (0, -2)
• (-3, 0)

• (-2, 0)

• (0, -4)

Multiple Choice

• F
• G
• H
• J

Multiple Choice

• Opposite Tom's home is a hill. Tom climbed slowly up the hill, walked across the top, and then ran quickly down the other side.

• Tom walked away from home then he stopped and waited to watch the sky. After that, he ran to get home .

• Tom was walking to the park. He stopped and waited so the baby chicks could pass.

Multiple Choice

What is the slope from 4 seconds to 6 seconds?

• 4 feet/sec

• -4 feet/sec

• 8 feet/sec

• -10 feet/sec

Part 2: Solving Equations

Some text here about the topic of discussion

Multiple Choice

4x - 12 = 2x + 6

• x = 36
• x = -36
• x = -9
• x = 9

Multiple Choice

2(x - 1) + 3 = 15

• x = 13/2
• x=-13/2
• x = -7
• x = 7

Multiple Choice

• 1

• 6

• -1

• -2

Multiple Choice

Find the error in the problem below
19 - 2k = 3k - 1
     +3k   +3k
19 + 1k = -1
-19           -19
k = -20

• They should have divided by 1 for the last step
• They should add 19 instead of subtracting 19
• I can not find an error
• Instead of adding 3k they should subtract 3k

Part 3- Scatter Plots and 2-way Tables

Multiple Choice

What is the equation of the line of best fit?

• y= $$-\frac{1}{2}x\ +\ 6$$

• y= $$\frac{1}{2}x\ +6$$

• y= 6x + 2

• y = -2x +6

Multiple Choice

Which sentence describes the relationship shown on this scatter plot?

• As the temperature decreases, the visitors increase.

• As the temperature increases, the number of visitors increases.

• As the visitors increase, the temperature decreases.

• No correlation

Multiple Choice

What type of association does this graph have?

• positive 
• negative
• none
• all of the above

Multiple Choice

What would you expect the distance legibility to be for a 35 year old?

• 350 feet

• 400 feet

• 500 feet

• 450 feet

Bi-variate data: 2-way tables

Some text here about the topic of discussion

Multiple Choice

Calculate relative frequency of right handed people to the whole group.

• 90/270

• 90/100

• 180/300

• 270/300

Multiple Choice

Calculate relative frequency of left handed people who prefer pie?

• 20/30

• 30/300

• 20/200

• 20/300

Multiple Choice

Looking at the two-way table, what does the following mean? $$\frac{10}{100}=0.10=10\%$$   

• 10% of people prefer cake

• 10% of people are left handed

• 10% of people who prefer cake are left-handed

• 10% of people prefer cake & are left-handed

Part 4 - Systems of Equations

Multiple Choice

A: y = 2x + 3
B: y = 2x − 5
C: y = -2x + 3
Which lines are parallel?

• A and B
• B and C
• A and C
• All three!

Multiple Choice

If a system of equations has no solution, what does the graph look like? 

• intersecting lines
• parallel lines
• skew lines
• Perpendicular lines

Multiple Choice

Solve the system of equations.

• (10, 3)

• (6, 3)

• (15, 3)

• No solution

• Infinite Solution

Multiple Choice

Solve the following systems of equations using substitution:

y = 3 - x

3y + x = 5

• No solution

• (1, 2)

• (3, 0)

• (2, 1)

Multiple Choice

Solve the following using elimination.
x-y=11
2x+y=19

• (10,-1)
• (-1,10)
• (-1,-10)
• (-10,-1)

Multiple Choice

Solve the following using elimination.
-9x-4y=-20
5x+4y=4

• (-4,4)
• (4,4)
• (4,-4)
• (-4,-4)

Multiple Choice

Josh is thinking of two numbers.  Their sum is -10 and their difference is -2.  Which system of equations represents the situation?

• x - y = -10
  x + y = -2
• x = -2 
  y = 5
• x + y = -2
  x - y = -10
• x + y = -10
  x - y = -2

Multiple Choice

You are trying to decide between two companies to cater your party. One company chargers $18 per plate with a deposit of $300. The second company charges $22 per plate with a deposit of $200. Which systems represents how many guests would you need to invite for the two companies to be the same price?

• $$y=18+300x$$  

  $$y=22+200x$$  

• $$y=18x+300$$  

  $$y=22x+200$$  

• $$y=18x-300$$  

  $$y=22x-200$$  

• $$y=18x+200$$  

  $$y=22x+300$$  

Multiple Choice

You are trying to decide between two companies to cater your party. One company chargers $18 per plate with a deposit of $300. The second company charges $22 per plate with a deposit of $200. How many guests would you need to invite for the two companies to be the same price?

• 750 guests

• 25 guests

• 20 guests

• 115 guests

Multiple Choice

^{What is the solution?} 

• 1
• -2
• (1, 2)
• (1, -1)

Multiple Choice

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

• Infinite number of solutions
• (3, 3)
• (3, -3)
• (-3, 3)

Multiple Choice

Which is the best method for solving this system of equations?

-4x-2y=-12

4x+8y=-24

• Substitution

• Elimination

• Equal Values

Multiple Choice

Which is the best method for solving this system of equations?

8x + 4y = 12

y = -2x + 3

• Substitution

• Equal Values

• Elimination

Multiple Choice

What does the first step to solve with SUBSTITUTION look like for this system of equations?

3x+y=-3

x=-y+3

• y= -x + 3

• x = 3x + y = -3

• 3x + (-y+3) = -3

• 3(-y + 3) + y = -3

Multiple Select

Which is a correct way to set up this system of equations for ELIMINATION? [Select all that apply]

-6x+y= -2

-3x-6y= 12

• Multiply the top equation by 6.

• Multiply both equations by 2.

• Multiply the bottom equation by -2.

• Multiply the top equaion by -3.

Multiple Choice

Is the point (2, -1) a solution to the systems of equations below?

y=5x+3

y=-2x-4

• Yes

• No

• There's not enough information to tell.

Multiple Choice

What point is a solution to the system of equations below?

3x + 2y = 16

7x + y = 19

• (-2,5)

• (-2,-5)

• (2,-5)

• (2,5)