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

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)