Parallel Lines
Perpendicular Lines
Area Model Multiplication
Exponential Expressions
Mixed Bag
Conversions
Transformations
100
What kind of slopes do parallel lines have?
The same
100
Perpendicular lines have what kind of slopes?
Slopes that are opposite signs and reciprocals (flipped).
100
True or false: When multiplying (3x - 3)(2x + 7) and using the area model, the following shows the correct information:
False, the top left box should be 6x2
100
What is
1000^0
1
100
Simplify:
5/6 * 2/6
10/36 or 5/18
100
Janie has 3 gallons of milk. How many quarts of milk does she have?
(*Hint: There are 4 quarts in 1 gallon).
12 quarts
100
ABC with coordinates A(5,- 1) B (2, -4) &C (1, -5), answer the following quesitons.
ABC is transformed by the rule (x, y) → (y, -x).
Classify and describe the transformation in words:________________________________
State the coordinates of A'B'C'. __________ __________ ___________
1. Rotation 90 degrees clockwise or 270 degrees counterclockwise
2. A'(-1, -5) B'(-4, -2) C'(-5, -1)
200
What is the slope of the line parallel to
y= -3x + 7
-3
200
True or False: The following equations are perpendicular.
y = -3x + 7
y = 3x - 7
False, the slopes are only opposites but not opposite reciprocals.
200
Use the area model to find the product of 2x(x - 9).
Remember to write your answer as simplified as possible.
2x^2 - 18x
200
What is
50x^0
50
200
Simplify:
6/7 div 1/7
6
200
Mrs. Jones is making chicken soup for sister. In order to make the soup she needs 8 cups of chicken broth. How many quarts of chicken broth does she need?
2 quarts
200
ABC with coordinates A(3,- 2) B (5, -6) &C (1, -8), answer the following questions.
b.
ABC is translated 5 units left and 2 units up.
Write the coordinate rule for the transformation:_______________________________
State the coordinates of A'B'C'. __________ __________ ___________
1. (x, y) ---> (x - 5, y +2)
2. A'(-2, 0)B'(0, -4) C'(-4, -6)
300
Are the following two lines parallel? Yes or no, and why?
y = 1/3x + 5
y = 1/3x - 5
Yes, because their slopes are the same.
300
Write the slope perpendicular to the equation:
y = 4x - 11
-1/4
300
Use the area model to find the product of:
3x^2(x - 7)
Remember to write your answer as simplified as possible.
3x^3 - 21x^2
300
Simplify and only give positive exponents:
(3x^2)^4
81x8
300
True or false: The following image has been reflected across the y - axis.
False, this is a translation.
300
Angelina is filling up her swimming pool at a rate of 22 quarts per minute. At what rate is she filling up her swimming pool in cups per second? Round your answer to the nearest tenth.
Decimal form: 1.5 cups/second
Fraction form: 2 cups/15 seconds
300
ABC with coordinates A(7,- 1) B (8, -4) &C (5, -5), answer the following quesitons.
ABC is transformed so the coordinates of A'B'C' are: A' (7,1) B' (8,4) & C' (5, 5)
Write the coordinate rule for the transformation:______________________________
Classify and describe the transformation in words:_____________________________________
1. (x, y)-->(x, -y)
2. Reflection across (over) the x-axis.
400
Write the equation of the line passing through the point (-7, 14) and parallel to:
y = -4x + 8
y = -4x - 14
400
Write the equation of the line passing through the point (6, 8) and perpendicular to:
y = -1/2x + 5
y = 2x - 4
400
Use the area model to find the product of:
(2x - 9)(4x + 2)
8x^2 - 32x - 18
400
Simplify and write only using positive exponents.
(-2xy^4)^5
-32x^5y^20
400
Draw figure 0 and write the equation of the following tile pattern.
y = 3x + 4
400
Joseph is filling up his hot tub at a rate of 80 gallons every 1 hours. At what rate is he filling up his hot tub in cups per second? Round your answer to the nearest tenth.
.4 cups per second or
1280/3600 = 16/45
400
What kind of transformation is this? What rule does this represent in words? (x, y) ---> (x - 7, y + 4)
This is a translation of 7 units left and 4 units up.
500
Write the equation of the line passing through the point (-8, 17) and parallel to:
y = -3/4x + 2
y = -3/4x + 11
500
Write the equation of the line passing through the point (-10, 7) and perpendicular to:
y = 5x + 9
y = -1/5x + 5
500
Use the area model to find the product of:
(2x + 5y)(6x - 4)
12x^2 + 30xy - 8x - 20y
500
Simplify using only positive exponents.
(5x^0y^-4)/(15x^-2y^3
(1x^2)/(3y^7)
500
If a tile pattern is represented by the following equation: y = 7x + 12. How many tiles are in figure 30?
222
500
If Henry is running down the football field at a rate of 1.5 yards per second. How long will it take him to run the length of a football field? If he is carrying a football trying to score a touchdown, how likely is he to get tackled?
150 seconds, very likely because he's running pretty slow.
500
What kind of transformation is this? What does the rule mean in words?
(x, y) --> (-x, -y)
Rotation of 180 degrees CW or CCW