Simplify Expressions
Simplify (23)2
26 Multiply the exponents when there are parenthesis
Identify the slope and y intercept in the following equation:
y=5x - 9
Y intercept= -9
Slope= 5
a2 + b2= c2
To make the radius from a diameter, divide by 2. A radius is 1/2 the diameter.
Which transformation turns but does not have change in size or shape?
Rotation
Explain how you would simplify 64 x 62
To simplify, simply add the exponents.
4+2=6, so 66
Find the slope in the following set of points:
(7,9) and (11, 14)
14-9 / 11-7= 5/4
What do a and b represent?
What does c represent?
c is the hypotenuse
Find the volume of the cylinder with radius 3 cm and perpendicular height 5 cm.
Give your answer to 1 decimal place.
The volume of the cylinder is: 141.4 cm3
Which transformation flips the pre-image and produces the mirror-image?
Reflection
Why does any nonzero number raised to the zero power equal 1?
Any nonzero number raised to the zero power equals 1 because when you divide a number by itself, you get 1
How can you tell in a table if a function is linear?
If a table is linear, the rate of change is the same
A ship sails 6km East and then 8km North. Find the ship’s distance from its starting point.
c = 10
Find the volume of the cylinder with radius 4.8 cm and perpendicular height 7.9 cm.
The volume of the cylinder is: 572 cm3
Which transformation expands or shrinks the shape?
A Dilation
Solve and explain your answer: x7 / x3
x4 When you see division of exponents, SUBTRACT the exponents. 7-3=4
How can you tell a function is linear on a graph?
A function is linear if its graph is a straight line and the rate of change between any two points is constant. If the graph is curved or has any breaks, it is not linear
A ladder is 5m long. The base of the ladder is 3m from the base of a vertical wall. How far up the wall does the ladder reach?
b=4
The radius of a sphere is 1.5 centimeters. What is its volume? Use π=3.14. Round your answer to the nearest hundredth.
V=14.14 cm3
Which transformation slides the pre image?
Translation
The value is 1
Tell the slope and y intercept:
y = -1/2x- 9
Slope is -1/2
Y intercept is -9
Alex and Sam start from the same point. Alex walks 400 meters west. Sam walks xx meters south, until they are 600m apart from each other. How far does Sam walk?
447 m
Find the volume of this cone where the radius of the base of the cone is 5cm and the perpendicular height of the cone is 8cm.
209.4 cm3
If a shape changes and the scale factor is 1/2, did the shape expand or shrink?
Shrink