SQ. ROOTS & IRR/RAT NUMBERS
STAN. FORM & SYSTEMS OF EQUATIONS
VOLUME & SCATTER PLOTS
PYTHAGOREAN THEOREM
TRANSFORMATIONS
100

What are the square roots of 81?

9 and -9

100

Find the x and y intercepts of the following equation:  -4x + 8y = 40

x-intercept: -10 

y-intercept: 5

100

π x r^2 x h is the volume formula for what?

A cylinder

100

Solve for c when a = 12 cm and b = 5 cm

c = 13 cm

100

A 270 degree counterclockwise rotation is the same as a _____________.

90 degree clockwise rotation

200

The square root of 27 is between _____ and _____ but is closer to ________.

5 and 6 but is closer to 5

200

What does it mean to solve a system of equations?

Find the point where 2 linear equations cross on a coordinate plane

200

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

200

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

200

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)

300

Is the square root of 16 rational or irrational? How do you know?

Rational. It is a perfect square.

300

Solve the systems of equations by graphing: 

y = x + 4 

y = 1/2x + 6

(4, 8)

300

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.

300

Find the missing leg: a = 16mm c = 22mm

Round to the nearest tenth

b = 15. 1 mm

300

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)

400

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.

400

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.

400

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.

400

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

400

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)

500

A square patio has an area of 111. The length of each side of the patio is about how many feet?

About 11 feet

500

Solve the system of equations algebraically:

y = -x + 9

y = -3x + 5

(-2, 11)

500

A volleyball has a diameter of 8 inches. What is the volume of the volleyball? Round to the nearest tenth.

268.1 inches cubed

500

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

500

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)

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