Number Sense
The scientific notation of this number is 8.8 x 103
Combine the like terms, 10x+5-4-3x
The answer to this is 7x-1
There is two points (4,4) and (6,8), what is the slope?
Solutions: The slope of these two points is 1/2
Solve the linear equation and find out the ordered pair of these two equations.
y=2x+1
x+y=7
The ordered pair of these two equations is (2,5)
What is the reflection of (-3,4)?
The reflection of the ordered pair is (3,4)
80 = 1, what Is the law and name of of this exponent?
The law is x0=1 and the name is zero exponent.
Is x+3=3x=6 and equation or not an equation?
This is not an equation.
What is the simplified version of this linear equation, 2y=12x+6?
The simplified version is y=6x+3
Are these equations true, and if they are what is the ordered pair?
1. 2x-3y=0 2. -4x+2y=-8
Yes these equations are true and the ordered pair is (3,2).
What is the area of a rectangle with a length of 5 cm and a width of 3 cm?
The area of a rectangle is 5 cm * 3 cm = 15 square cm
The extended version is 513,000
Combine like terms in this expression.
13x - 7 + 2 (3x - 1)7
The answer is 19x-2
Figure out the slope by only using these two points, (3,4) and (6,6)
Solve this pair of equations by substitution,
x=2y and x-9=9
The answer to this pair is (18,-9)
Where will the new point be if, (-6,3) translated 9 points to the right and 2 points down?
The new point will be (3,1).
Evaluate the expressions: (2^3 x 2^-5)^2
Solutions: 1/4
Solve for the system of equations:
{ 2x+3y=4
{10 -x +2y=4
Solution is (26/7, -8/7)
Given the points A(3,4) and B (7,-2), find the slope passing through these two points.
Solution: A(3,4) B(7, -2) is -3/2
Solve these system of equations question, 2x + 2y= 9
and the square root of x + y=5
These two equations do not have a real solution.
A rectangular garden is twice as long as it is wide. A walkway 3 feet wide is built around the garden. If the area of the garden including the walkway is 216 square feet, what are the dimensions of the original garden?
The original garden is 6 feet wide and 12 feet long
If the x varies inversely with y, and x=4 when y=3, find x when y=8.
The solution is x=5.
Solve for x in the equation: √(3x - 2) = 5
Solution: x=9
The slope of a line is 5, and it passes through the point, (2,-3), write the equation in slope intercept.
Solution: y= 5x -13
{3x+2y=9
2x+6y+6
Solve for y
If y=0, then 3x+2(0)= 9 and x=3
y=0
A rectangular field is being used for a vegetable garden. The length of the field is twice its width. If the perimeter of the field is 150 meters, and the farmer decides to increase the width by 10 meters, what will the new perimeter be?
Answer: The new perimeter will be 180 meters.