Square Roots
Name a decimal that has a square root between 13 and 14.
Anything between 169.1 and 195.9.
2 cubes that are 5 cm x 5 cm x 5 cm are stacked together. What is the entire surface area?
250 cm2
What is 107
10 000 000
3/4 + 7/8 =
13/8 or 1 5/8
What does an equation require to form an oblique line instead of simply horizontal or vertical?
Two distinct variables, such as x and y.
What is the square root of 7 x 4 x 28
28
A triangular prism with a hypotenuse of 5 cm, side lengths of 3 cm and 4 cm and a width of 5 cm is placed on a cube that is 5 cm x 5 cm x 5 cm. What is the total surface area? See Bergen's Drawing.
184 cm2
(43 -32)0 - (52 - 40) =
-23
Replace the blank with a rational number to make the answer positive:
-3.5 - ___ =
Anything -3.51 or smaller
Describe the following line on a graph:
y = 4
A horizontal line passing through 4 on the y-axis.
Identify the perfect squares:
16, 1.6, 0.16, 0.016, 0.0016
16, 0.16, 0.0016
Blocks A, B, and C are joined together to form the composite object shown.
Block A is a cube with side length 16 cm, Block B is a cube with side length 8 cm, and Block C is a right
rectangular prism with length 32 cm, width 16 cm, and height 16 cm.
Determine the total surface area of the composite object.
3840 cm2
70 x 32 + 120 x 42 x 0.75 =
2070
5/6 - (-21/16)(-4/9) =
1/4
What is the value for y when x is 0, 1, 2 in the following equation:
y=-x + 4
(0, 4), (1, 3), (2, 2)
Find the missing side length of a triangle that has a hyptenuse of 7.1 cm and a side length of 3.1 cm.
6.4 cm
Each layer of a two-layer cake is a right rectangular prism.
The bottom layer has a square base of side length 24 cm and height 5 cm.
The top layer has a square base of side length 16 cm and height 3 cm.
The surface of the cake is frosted. What area of the cake is frosted?
1248 cm2
32 + 63 +32 + 63 + 32 + 63 =
-1 1/5 -(-2 1/2) =
1 17/18
Create the equation for the following data:
x: 1 2 3 4
y: 10 8 6 4
y = -2x + 12
Which two whole numbers are closest to the square root of 545/10
7 and 8.
A 15 cm x 15 cm x 15 cm cube has a cylinder coming out of one end that measures 8 cm in length with a diameter of 6 cm. What is the composite surface area?
1500.72 cm2
Below is a sample of a students work, are they correct? Explain.
(33 x 34)2 = (312)2 = 314
The answer is technially correct, however, they incorrectly multiplied the exponents when they should have added them and added them when they should have multiplied them.
1 7/8 x 2 2/5 - 1 3/4 =
2 3/4
To estimate a data point based on past results is considered using what?
Extrapolation.