IB Math A and I Coordinate Geometry Review

Mathematics 8 Long Quiz #3 Review

Rectangular Coordinate System and Linear Equations in Two Variables

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Multiple Choice

What do you call the vertical number line in a Rectangular Coordinate System?

• x-axis

• y-axis

• origin

• plane

Multiple Choice

Where is Point A on the coordinate plane?

• (7,4)
• (1,3)
• (9,3)
• (4,7)

Multiple Choice

• A(4, 5); B(-5, 5)

• A(4, 5); B(5, 5)

• A(4, 5); B(5, -5)

• A(5, 24); B(5, -5)

Multiple Choice

State the quadrant in which or axis on which the point is located.

(-10, -16)

• II

• IV

• III

• I

Multiple Choice

What do you call the center where x and y-axis intersect?

• point

• coordinate

• plane

• origin

Multiple Choice

The Cartesian Plane is divided by a horizontal number line called what?

• plane

• y-axis

• x-axis

• coordinates

Multiple Choice

In which quadrant is the point with coordinates (-3, -2)?

• Quadrant I

• Quadrant II

• Quadrant III

• Quadrant IV

Multiple Choice

In which quadrant is the point with coordinates (7, -15)?

• Quadrant I

• Quadrant II

• Quadrant III

• Quadrant IV

Multiple Choice

In which quadrant is the point with coordinates (1, 1)?

• Quadrant I

• Quadrant II

• Quadrant III

• Quadrant IV

Multiple Choice

Which describes the order of the signs of an ordered pair in the second quadrant?

• positive, negative

• negative, positive

• positive, positive

• negative, negative

Multiple Choice

Which describes the order of the signs of an ordered pair in the fourth quadrant?

• positive, negative

• negative, positive

• positive, positive

• negative, negative

Multiple Choice

He is the proponent of Rectangular Coordinate System or also known as the Cartesian Plane.

• Pythagoras

• Rene Descartes

• Albert Einstein

• Isaac Newton

Multiple Choice

How many quadrants are there in a coordinate plane?

• 1

• 3

• 4

• 5

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Multiple Choice

Find the slope of the line that passes through the points (2, 4) and (6, 12)

• 1/2
• -1/2
• 2
• -2

Multiple Choice

Find the slope of the line that passes through
(10, 1) and (5, 2)

• 1/5
• -1/5
• 5
• -5

Multiple Choice

Find the slope of the line.

• -2
• 2
• -1
• 1

Multiple Choice

Find the slope of the line.

• 1/4
• -1/4
• -4
• 4

Multiple Choice

Find the slope of the line.

• Undefined
• 0
• 1
• -1

Multiple Choice

The vertical change is also known as _______.

• rise

• run

Multiple Choice

The slope (m) of a line is the ratio of the change in y to the corresponding change in x.

• True

• False

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Multiple Choice

In slope intercept form (y=mx+b) what is the "m"?

• The y-intercept

• The x-intercept

• The slope (rate of change)

• A point

Multiple Choice

In slope intercept form (y=mx+b) what is the "b"?

• The y-intercept

• The x-intercept

• The slope (rate of change)

• A point

Multiple Choice

What is the slope of the equation?

y = -3x + 4

• -3

• 4

• -4

• 3

Multiple Choice

Which of the following is in slope-intercept form?

• y=10x-7

• y-5=3(x-1)

• 5x-y=12

• 6x+2y-15=0

Multiple Choice

Name the x- and y-intercepts for the equation: 5x + 3y = 15

• (3, 0) and (0, 5)

• (0, 3) and (5, 0)

• (5, 15) and (15, 3)
• (0, -3) and (5, 0)

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Multiple Choice

In the following equation, what is the y-intercept?  
y = -3x + 7

• -3
• 7
• -3/7
• 3

Multiple Choice

Which equation is written in STANDARD form?

• y = 1/2x + 2
• y - 3 = -5(x + 2)
• 7x + 2y = 9

• 3x + 2 = y

Multiple Choice

Put this into standard form:

y = 3x + 2

• y + 3x = 2

• 3x + y = 2

• 3x - y = -2

• 3x - 2y = 2

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Multiple Choice

The table of values reflects solutions of the equation

y = x - 6.

What is the missing number?

• 12

• 10

• 14

• 13

Multiple Choice

The table shows the x and y values for the equation

y = 9x - 1.

Find the missing y value.

• -19

• 17

• 19

• 17

Multiple Choice

Which graph represents the table?

Multiple Choice

Which table is correct for y=4x+3?

Multiple Choice

Which graph represents the table?

Multiple Choice

Which graph shows the correct line for the table?

Multiple Choice

Which graph shows the correct line for the table?

Multiple Choice

Which is the graph of the equation y = -3x - 1? (hint: make a table)

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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

Which is the graph of y= -x + 2?

• A
• B
• C
• D

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Multiple Choice

Consider the equation:
y=-x+4
Identify the slope and y-intercept.

• m=4, b=-x
• m=-x, b=4
• m=1, b=4
• m=-1, b=4

Multiple Choice

Which graph represents the equation y= 3x+2?

• A

• B

• C

• D

Multiple Choice

Which graph represents the equation y= -3x+2

• A

• B

• C

• D

Multiple Choice

Graph. y = -4

• a
• b
• c
• d

Multiple Choice

Graph. x = 1

• a
• b
• c
• d

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Multiple Choice

Which of the following could be the slope-intercept form of the graph?

• $$y\ =\ \frac{1}{2}x\ -\ 2$$

• $$y\ =\ -\frac{1}{2}x\ -\ 2$$

• $$y\ =\ \frac{1}{2}x\ +\ 2$$

• $$y\ =\ -\frac{1}{2}x\ +\ 2$$

Multiple Choice

Which of the following could be the slope-intercept equation of the graph?

• $$y\ =\ \frac{2}{3}x\ +\ 3$$

• $$y\ =\ -\frac{2}{3}x\ -\ 3$$

• $$y\ =\ \frac{2}{3}x\ -\ 3$$

• $$y\ =\ -\frac{2}{3}x\ +\ 3$$

Multiple Choice

Write the equation of the line with slope -2 through the point (7, −1).

• y = −2x + 15

• y = −2x − 15

• y = −2x + 13

• y = −2x − 13

Multiple Choice

Write the equation of the line through the points (8, −7) and (−2, 8).

• y = 3/2x + 11

• y = −3/2x + 11

• y = −3/2x + 5

• y = 3/2x − 19

Multiple Choice

What is the equation of this line?

• 0
• undefined 
• y = -2
• x = -2

Multiple Choice

What is the equation of the line graphed?

• x = -1
• y = -1
• y = -1x
• y = x - 1

Multiple Choice

Write a slope intercept equation for a line containing the point (2,4) with a slope of $$\frac{4}{3}$$  

• $$y=-\frac{4}{3}x+\frac{4}{3}$$  

• $$y=-\frac{5}{3}x+\frac{4}{3}$$  

• $$y=\frac{4}{3}x+\frac{4}{3}$$  

• $$y=x+\frac{4}{3}$$  

Multiple Choice

Write a slope-intercept equation of the line containing the point (-3,5) and (4,3)

• $$y=-\frac{2}{7}x+\frac{29}{7}$$  

• $$y=\frac{2}{7}x+\frac{29}{7}$$  

• $$y=\frac{29}{7}x+\frac{2}{7}$$  

• $$y=\frac{3}{7}x+\frac{2}{7}$$  

Multiple Choice

Write an equation in slope-intercept form from the points (0, 3) and (-4, -1)

• y = x + 3
• y =  x - 3
• y = x + 1
• y = 3x + 1