What are the square roots of 81?
9 and -9
Find the x and y intercepts of the following equation: -4x + 8y = 40
x-intercept: -10
y-intercept: 5
π x r^2 x h is the volume formula for what?
A cylinder
Solve for c when a = 12 cm and b = 5 cm
c = 13 cm
A 270 degree counterclockwise rotation is the same as a _____________.
90 degree clockwise rotation
The square root of 27 is between _____ and _____ but is closer to ________.
5 and 6 but is closer to 5
What does it mean to solve a system of equations?
Find the point where 2 linear equations cross on a coordinate plane
The height of a cone is 12 in and the radius is 4 in. What is the volume of the cone? Round to the nearest tenth.
201.1 in cubed
Is the triangle a right triangle?
a = 9 units and b = 11 units c= 15
No
9 ^2 = 81
11 ^ 2 = 121
81 + 121 = 202
15 ^ 2 = 225
202 does not equal 225
A triangles vertices are
X(−4, −3) Y(−2, −2) Z(−2, −4)
What are the new vertices for X, Y and Z after a translation of 3 units right and 4 units up?
X'(−1, 1)
Y'(1, 2)
Z'(1, 0)
Is the square root of 16 rational or irrational? How do you know?
Rational. It is a perfect square.
Solve the systems of equations by graphing:
y = x + 4
y = 1/2x + 6
(4, 8)
What type of scatter plot would show the relationship between increasing temperature and hot coffee sales?
Negative correlation. As temperature increases, hot coffee sales will (most likely) decrease.
Find the missing leg: a = 16mm c = 22mm
Round to the nearest tenth
b = 15. 1 mm
A rectangle has the following vertices:
A (2, 1) B (2,6) C (5, 1) D (5, 6)
What are the new vertices after a reflection over the y-axis?
A′ (-2, 1)
B′ (-2,6)
C′ (-5, 1)
D′ (-5, 6)
23.46202586927583463........ is an irrational number. Explain why it is irrational.
The decimal as no repeating pattern and the .... tells us it will never terminate.
How many solutions do the following systems of equations have? How do you know?
y = -4x + 2
y = -4x - 2
No Solution. Same slope, different y-intercept. Lines will be parallel.
What is the purpose of a line of best fit?
It helps to determine what type of correlation there is and can be used to help estimate points within the data set.
Graph the following and find the distance between A and B. Round to the nearest tenth
A (-2, 1)
B ( 4, 3)
Distance: 6.3 units
A pre-image has the vertices are below. What are the new vertices after a rotation 180° about the origin?
H (−1, −5)
I (−1, 0)
J (1, 1)
K (3, −2)
H' (1, 5)
I' (1, 0)
J' (-1, -1)
K' (-3, 2)
A square patio has an area of 111. The length of each side of the patio is about how many feet?
About 11 feet
Solve the system of equations algebraically:
y = -x + 9
y = -3x + 5
(-2, 11)
A volleyball has a diameter of 8 inches. What is the volume of the volleyball? Round to the nearest tenth.
268.1 inches cubed
Draw a picture and solve: The bottom of a ladder must be placed 3 feet from a wall. The ladder is 10 feet long. How far above the ground does the ladder touch the wall? Round to the nearest tenth
9.5 feet
Find the coordinates of the vertices of each figure after a rotation 90° clockwise about the origin
S(1, −4)
T(1, 0)
U(3, −4)
S'(−4, −1)
T'(0, −1)
U'(−4, -3)