Exponents/
Scientific Notation
Scientific Notation
Simplify the expression -16x5/2x2
-8x3
Graph this system:
y=3x-6
y=-x+2
What is the solution?
(2,0)
The Bermuda Triangle is a triangular shaped region that has side lengths of 959 miles, 1,011 miles, and 1,033 miles. Does the Bermuda Triangle form a right triangle? Show ALL Work!
No, it does not form a right triangle.
Solve for x: 5x+4=64-x
x = 10
What is the cube root of 3375?
15
Simplify the expression(-2r-4s6)4 using positive exponents
16s24/r16
2x+3y=6 and y=-2/3x+2
What is the solution to this system?
Infinite Solutions
Perry wants to build a banister for the staircase in his home. The height of the staircase is 5 feet, and the horizontal distance from the bottom to the top of the staircase is 12 feet. What is the length of the banister?
13 feet
Solve for x: 6(x-6)=2(-6+3x)-24
Infinite Solutions
Is this a function? Explain.
(1,2) (2,3) (3,4) (1,5) (4, 6)
No, 1 has two outputs.
Stacy cuts out checker pieces from sheets of construction paper that are each 0.0057 inch thick. What is the thickness, in inches, of one checkers piece, written in scientific notation?
5.7 X 10-3
Solve the system of equations by substitution. Write the solution as an ordered pair.
x=y+2
4x − 5y = 1
(9,7)
The diagonal of a building is 70 feet, and the width of the building is 35 feet. What is the height of the building? Calculate to the nearest tenth of a foot. Show ALL Work!
60.6 feet
The temperature of one furnace is 1,200ºC and cools at a rate of 15ºC per minute. The temperature of another furnace is 900ºC and is heated at a rate of 5ºC per minute. After how many minutes will the furnaces be the same temperature?
After 15 minutes, the furnaces will be the same temperature.
Write an equation in slope-intercept form for the following points:
(3, -22), (4, -30)
y = -8x+2
Evaluate the expression (7.1 x 108) ∙ (2.3 x 10-3). Express the result in scientific notation.
1.633 X 106
Solve the system of equations by elimination. Write the solution as an ordered pair.
-2x-6y=-12
-6x-3y=-21
(3,1)
Find the distance between these two points: (1,2) and (4,6)
5 units
Solve for z: (2z-5)/3 = (z+4)/2
z = 22
Is this function linear or nonlinear?
2.5+y=-4x-7.5
Linear because it be can be written in the form y = mx + b
Evaluate the expression (5.72 x 108) + (2.82 x 107). Express the result in scientific notation.
6.002 X 108
Tickets to Middletown Area Middle School’s winter play cost $10 for adults and $7 for students. A total of 180 tickets were sold for $1,470. How many adult tickets and how many student tickets were sold?
Write and solve this system.
110 student tickets and 70 adult tickets
Find the distance between these two points:(5,9) and (-7,-7)
20 units
Solve for x: (2x+1)/3 - (x-2)/4 = (5x+3)/12
x = 2
Solve the system of equations by substitution. Write the solution as an ordered pair.
y=x+4
2x+3y=12
(0,4)