System of Equations
One, Infinite, or No solution?
y = 9x – 1
–18x + 2y = –2
Infinite Solutions
What is Scientific notation?
A number as a factor multiplied by a power of 10
When an object is turned clockwise or counterclockwise around a given point.
What is a rotation.
What is Congruency?
The quality of a shape is the same as the other
What is the equation for slope-intercept form?
y = mx + b
One, Infinite, or No solution?
–4y + x = 12
x – 4y = 13
No solution
Write in Standard Form
2.71 x 10^9
2,710,000,000
A transformation that changes the size of a geometric figure but does not change its shape.
What is a dilation.
The measures of a trapezoid are, 28cm, 28cm, 24cm, 48cm. Are these congruent?
No they are not congruent.
Write in Slope-intercept form
7x - 2y = 4
y = 7/2x - 2
What is the solution to this equation?
y = 2x + 12
y = -x + 18
(2,16)
Write in standard form
2.1 x 10^6
2,100,000
A rectangle has the coordinates of M (4, -2) L (1, -2) K (1, 3) N (4, 3). After the rectangle is reflected across the y axis, what are the new coordinates of the rectangle?
What is M (-4, -2) L (-1, -2) K (-1, 3) N ( -4, 3)
Is it possible to form a triangle with the given side lengths? If not, explain why not. 5 cm, 7 cm, 10 cm
You can form a triangle with these side lengths
Write in Slope-intercept form
4x + 18y = -9
y = -2/9x - 4x
Prout Farm has 4 times as many chickens as
Watson Farm. There is a total of 60 chickens
on both farms. How many chickens does each
farm have?
Watson Farm has 12 chickens and Prout
Farms has 48 chickens.
Write in Scientific Notation
0.0000000044
4.4 x 10^-9
A triangle has coordinates of X (3, 2) Y (1, -1) Z ( 4, -3). After a transformation, the triangle’s new coordinates are X (2, 4) Y (0, 1) Z (3, -1). What is the transformation to get the new coordinates?
What is a translation of 2 up and 1 to the left.
Is it possible to form a triangle with the given side lengths? If not, explain why not. 4 ft, 9 ft, 15 ft
It is not possible to form a triangle with these lengths
The members of a basketball team are selling T-shirts during spirit week. The cost is $15for the design and $2.50 to print each T-shirt. The cost, y, to print x T-shirts is y = 2.5x + 15. Interpret the slope and the y-intercept.
The slope of 2.5 represents the cost, in dollars, per T-shirt. The y-intercept of 15 is a one-time charge, in dollars, for the design.
Gia recieves an allowance of $2 a week and already has $20 in savings. Michael receives an allowance of $3 a week and already has $5 in savings. Gia and Michael both save their entire allowance. After how many weeks will Gia and Michael have the same amount in savings?
At 15 weeks, they both have $50
Write in Scientific Notation
0.00000991
9.91 x 10^-7
A triangle has vertices E(0, –1), F(4, 1), and G(4, –3). What are the new coordinates after a clockwise rotation of 270°
E(1, 0) F(-1, 4) G(3, 4) are the new coordinates.
Krishna and Chaim are at opposite sides of a large field. They want to draw two big triangles at the same time. They both walk six steps north. They both turn exactly 90 degrees. They both walk five steps west. They both turn exactly 45 degrees. They walk nine paces southeast heading back towards their original starting position. Have Krishna and Chaim made congruent triangles?
Yes, they have made congruent triangles
Sunrise, a bed-and-breakfast hotel, charges a one-time deposit of $25 plus $85 per night. Another bed-and-breakfast hotel called Bright Eyes charges a flat rate of $95 per night. Craig wants to book a hotel for 5 nights. Which hotel costs less to stay for 5 nights? How much less?
Sunrise Hotel costs less than Bright Eyes by $25.