Real Numbers
Put the following numbers in order from least to greatest. ( 567, -987, 1/2, 7.568..., 4 1/5)
-987, 1/2, 4 1/5, 7.568..., 567
What is 4 to the 3rd power equal to?
What is the square root of 81? Explain your answer.
What is the cube root of 27? Explain.
3 because 3 x 3 x 3 = 27
What is the first step you need to do, in order to solve this linear equation? How would you explain this step?
4(3x + 7) + 7 = 57
The first step would be to use distributive property in order to get rid of the parenthesis.
To do this, you would distribute the 4 to both the 3x and the 7 which would give you 12x + 28.
Find the slope of the line using the two points given
(1, 3) and (4, 5).
If a triangles sides are all the same, what type of triangle is it?
Equilateral Triangle
What classification would the number 0 be?
Whole Number
Rational Number
Integer
What is 6 to the 5th power times 6 to the 4th power equal to? Explain why?
6th to the 9th power because when you are multiplying bases that are the same, you add their exponents.
What is the square root of 196? Explain.
The answer is 14 because 14 x 14 equals 196.
What is the cube root of 343 equal to and why?
7 because 7 x 7 x 7 equals 343.
Solve the equation for "x". Make sure to show all of your steps used to solve the problem.
10(2x + 5) = 70
x = 1
Find the slope of the line with the points...
(0,3) and (1, 5)
m =2
If a triangle has two (2) sides that are the same and one is different, what type of triangle is this?
A Isosceles Triangle
What number is the greatest?
(5/2 or 2 1/2)
They are equal!
What is 17 to the 10th power divided by 17 to the 7th power equal to? Explain why?
17 to the 3rd power because when you are dividing bases that are the same you subtract their exponents.
What is the square root of 100 plus the square root of 225 minus the square root of 4 equal to?
10 + 15 - 4 = 21
What is the cube root of 729 times the cube root of 8 equal to?
9 x 2 = 18
Solve the equation. What is 5x + 8 = 2x - 1
Make sure to show the steps you used to solve the problem.
x = -3
Find the slope of the line with the points...
(-5, -4) and (7, -8).
m = -1/3
A triangle has the following angle measurements...
40 degrees and 52 degrees. What is the value of the missing angle? Also, what type of triangel is this?
180 - 92 = 88 degrees.
A Scalene Triangle because all the angles are different.
45 1/5 + 13 1/7 =
58 12/35
What is 11 to the 2nd power times 11 to the 5th power all over 11 to the 6th power equal to? Make sure to simplify your final answer.
11 to the 1st power, which equals 11.
What is the square root of 9 plus the square root of - 64 all over the square root of 121 equal to?
3 + 8 divided by 11 = 1
What is the cube root of 512 plus the cube root of 216 all over the cube root of 8 equal to?
8 + 6 /2 = 7
3x + 2 = x + 4 (x + 2).
x = -3
Write an equation of the line that has the slope 5 and the points (4, 7).
The equation of the line is...
y=5x-13
A triangle that has an angle that is 90 degrees is called a what type of triangle?
A "Right" Triangle
If Jason has $356.00 and he spends 15% on a shirt and pants, how much money did he spend on these two items?
Jason spent $53.40 on the two items.
What is 456 to the 0 power equal to? Explain your answer.
If Johnny is twice as old as Sam plus the square root of 100 and their ages add up to 40, how old is both Johnny and Sam?
Sam is 10
Johnny is 30
What is the cube root of 125 times the cube root of 1 plus the cube root of 1000, all over the cube root of cube root of 125 equal to?
5 x 1 + 10 / 5 = 3
Solve the equation...
1/3(x + 6) = 1/2(x - 3)
x = 21
Write the equation of the line with the slope of 4/5 and the points (-2, 5).
The equation of the line is...
y=4/5x + 33/5
Perimeter: 12 + 12 + 12 + 12 = 48 mm
Area: 12 x 12 = 144 mm squared