Algebra 1
State whether 2 sqrt(6) + 3 is rational or irrational. Explain your answer.
Irrational. Its decimal expansion goes on forever without repeating any pattern.
Name a capital letter in the alphabet that has a horizontal line symmetry and no other symmetries.
Example answers: C, D, E
What letter is used to represent the square root of -1?
I for imaginary, this is because the square root of negative one does not exist.
Simplify this problem
3x2 + 7x - 11 = 2x2 + 3x + 4
5x2 + 10x - 7
This classification refers to any number that can not be expressed as a fraction with an integer in the numerator and an integer in the denominator.
Irrational
What is the solution to this problem?
12x - 12 = 2(x + 4)
X = 2
When two parallel lines are cut by a transversal, what is the relationship between the same-side interior angles?
Supplementary
What is the conjugate of -2 + 5i?
-2 - 5i
What is the formula to find the volume of a cylinder?
Use: https://www.jmap.org/SupportFiles/JMAP_EXTRAS/RegentsExamMaterials/CommonCoreReferenceSheet.pdf
V=𝝅r2h
Located in Washington, D.C., the famous government building, The Pentagon, has this many sides.
Distribute
-25x(7x - 4 + 2x2)
-175x2 + 100x - 50x3
When (2, 3) is reflected over the x-axis, what are the coordinates of the image?
(2,-3)
What discriminant value produces two equal roots for a quadratic equation?
0
What is the hypotenuse of a triangle with a height of 12m and a base of 7.5m, rounded to the nearest tenth?
14.2m
Located in the heart of Paris, the giant glass structure located in the main courtyard of the Louvre Museum is this geometric shape.
Pyramid
What is the degree of the given polynomial?
5x-3x2-1+7x3
3
Two angles are complementary and congruent. What is the measure of each angle?
45 degrees each
Simplify this equation
(3 + 5i)(2 - 7i4)
-35i - 15
What is the distance formula?
d = √( x2 - x1)2 + (y2 - y1)2
What are the first 6 numbers of pi after the decimal?
3.141592
Solve this system graphically (you have to share your screen and show us!)
2x+6=y
(x+3)2=y
Solutions: (-3,0) and (-1,4)
If two angles of a triangle measure 40 and 50 degrees, what is the measure of the third angle?
90 degrees
What is the remainder when x2025 + 3 is divided by (x+1)?
2
Solve this system of equations using a method of your choice.
X + Y = 24
3X + 4Y = 80
X = 16
Y = 8
Who is often considered the father of geometry?
Euclid