8th Grade Math Unit 4

8th Grade Math Unit 4 - Graphing

ABCD is a rectangle with its center at the origin. If the coordinates of vertex D are (4,2), what are the coordinates of vertex A?

Review Coordinate Plane
1. ( - 3, 3)
2. ( - 3, - 3)
3. ( - 3, 2)
4. (2, - 3)
Find the midpoint of the line segment whose endpoints are:

( - 6, 6) and ( 6, - 6)
1. ( 12, -12)
2. (-12, 12)
3. (6, 6)
4. 0
Check the statements below that are true:

(Check all that apply.)
1. The ordered pair for A = ( - 4, 4)
2. The ordered pair for B = ( - 4, - 3)
3. Point C is in Quadrant II
4. The ordered pair for D = ( 2, 2 )
5. The ordered pair for E = ( 4, - 4)
If you plot the point ( - 5, - 4), your point will be in Quadrant IV.
1. True
2. False
Check each statement below that is correct about transforming figures on the Coordinate Plane:

(Check all that are correct.)

Review Transform Figures
1. To dilate a figure by a scale factor k, multiply both coordinates by k.
2. To translate a point by an ordered pair (a, b), add a to the x-coordinate, and subtract b from the y-coordinate.
3. To rotate a figure 180^o about the origin, multiply both coordinates by - 1.
4. To reflect a point over the x-axis, multiply the x-coordinate by - 1.
This figure represents which type of transformation in a coordinate plane?
1. Reflection
2. Rotation
3. Dilation
4. Translation
The following figure represents a _______________ on the coordinate plane.
1. rotation
2. dilation
3. reflection
4. translation
Triangle ABC with vertices A ( - 4, 12), B (16, 0), and C (- 10, 6) is dilated. If the image A'B'C' has vertices A' ( -2, 6), B' (8,0) and C' ( -5, 3), what is the scale factor?
The coordinates of the vertices of quadrilateral ABCD are:
A( - 3, 4), B(2, 7), C(3, - 2), and D( - 6, - 3).
If the quadrilateral is moved up 4 units and right 2 units, which point below has the correct coordinates?
(Read carefully!)
1. A' ( - 5, 8)
2. B' ( 1, 10)
3. C' ( 5, 2)
4. D' ( - 1, 8)
If you graph the following image after a reflection over the y-axis, what will the coordinates of point C' be?
1. (- 3, 1)
2. (3, - 1)
3. ( - 3, - 1)
4. (3, 1)
Does the following graph represent this relation:

{ (4, 3), (2, - 6), (1, 7), (3, - 5)}
1. Yes
2. No
If the domain for the following equation is { - 3, - 1, 1, 3, 5}, what is the solution set?

8x + 4y = 16

Review Functions, Domain and Range
1. {10, 6, 2, 3, 5 }
2. { - 10, 6, 2, - 2, 6 }
3. { - 10, - 6, 1, 3, 5 }
4. { 10, 6, 2, - 2, - 6 }
The range for 3y - x = 8 is { - 5, - 3, 1, 5, 9}.

Which is the domain?
1. { 23, 17, 5, - 7, - 19}
2. { - 23, - 17, - 5, 7, 19}
3. { - 7, - 1, 11, 17, 35}
4. { 7, 11, 17, 35, 43}
What are the domain values of the following relation if the range is { 0, 12, 21}:

y = I 3x - 15 I

I I means the absolute value of
1. { 5, - 1, 2}
2. { - 5, - 1, - 2}
3. { 5, 1, - 2 }
4. { - 5, 1, 2}
The following is an example of:

Review Relations
1. a table
2. a graph
3. mapping
What is the y-intercept of the graph of:

3x - 7y = 28

y = __________
Which equation below is the equation for the line with an x-intercept of 2 and a y-intercept of - 6?

Review Equations
1. y = 3x - 2
2. y = 3x - 6
3. y = 6x - 3
4. y = 6x + 3
Which point lies on the line given by:

y = 5x - 6
1. ( - 1, 11)
2. ( 1, 1)
3. ( 2, 4)
4. ( 0, 6)
Does the ordered pair ( - 1, 1) lie on the line in the following graph?
1. Yes
2. No
If f(x) = 4x - 7, what is f(8)?

Review Functions
Is the following relation a function?

{ (4, 6), ( 3, - 2), ( - 3, 7), (4, - 5), (6, 9)}

Review Functions
1. Yes
2. No
Is this relation a function?
1. Yes
2. No
If f(x) = 3x, which of the following statements are true:

(Check all that are true.)
1. f(3x) = 3[f(x)]
2. f(x + 2) = f(x) + 2
3. f(x²) = [f(x)]²
Check the sequences below that are arithmetic sequences.

(Check all that apply.)

Review Arithmetic Sequences
1. 10, 12, 15, 15, ....
2. - 18, - 15, - 12, - 9, ....
3. - 0.8, - 0.3, 0.2, 0.7, ....
4. 8, 4, - 1, -5, ....
Find the nth term of the following arithmetic sequence:

5.2, 5.8, 6.4, 7.0, ... for n = 15
What is the value of x that makes an arithmetic sequence of the following:

x + 8, 4x + 6, 3x

x = _________
If b₁ = 4, and b₄ = 13, what is b₂₀?

b = ___________
Which of the following is an equation in function notation for the following relation?
1. y = x + 2
2. f(x) = x + 2
3. f(x) = 2x + 1
4. y = 2x + 1
You are handing out t-shirts to the class. You hand them out in this order:

Blue, white, and gray. If you keep handing them out in this order, what color t-shirt will the 37th person receive?
1. Blue
2. White
3. Gray
Which is the correct equation in function notation for the following relation:
1. f(a) = 160 - 0.7(a - 20)
2. f(a) = 0.7a + 160
3. f(a) = 160 + 0.7(a - 20)
4. f(a) = 160 + 0.7(a + 20)
If f(x) = 4x - 7, find f(9) - f(- 5).

Review Functions
If f(x) = - 3x + 8, then find:

f(x + 3)
1. f(x + 3) = 3x + 1
2. f(x + 3) = 3x - 1
3. f(x + 3) = - 3x + 17
4. f(x + 3) = - 3x - 1