Geometry
Expressions and Equations
Functions
Number System
Extra
100
Dasha made some cookies. She used the same cookie cutter to make each of the triangular cookies shown.
Which angles of the cookies are congruent?
<B is congruent to <F
These angles are both between sides with measures of 2 and 3 units within triangles that are congruent, so these angles have the same measure and are congruent.
100
(-7x3y3)(6x4y2)
Simplify
-42x7y5
100
What is the equation of this linear function?
y = -3/5x - 3
100
Is it possible to convert 0.1255555... as a fraction?
Yes, because even though the digits 1 and 2 do not repeat, the digit 5 repeats.
Any decimal value that eventually repeats is a rational number and can be represented as a fraction.
100
What are you going to make on the GMAS?
At least a 3!
200
What is the only transformation that does not produce a congruent image?
Dilation
This produces a similar image
200
x2= 81/144
Solve for x
3/4 and -3/4
200
Does the set of ordered pairs {(3, 11), (6, 1), (6, 4), (15, 4), (18, 18)} define a function?
No, because 6 is paired with two different y-values.
200
Which is greater?
The square root of 11 or 3.87?
Use approximation!
3.87 is greater
200
Spell your math teachers full name correctly
Caroline McKenzie Kirkland
300
In the figure shown, lines l and m are parallel. Triangle P is reflected across line l to create triangle Q, and then triangle Q is reflected across line m to create triangle R.
What SINGLE transformation maps triangle P to triangle R?
Translation to the right
300
An Internet search engine scours 3 x 1013 web pages every month. Which of these is the approximate number of web pages the search engine scours per month?
30 trillion
300
The functions have an equal rate of increase.
The slope of the line represented by each function is 2/3.
300
convert 0.9111111... into a fraction
41/45
300
What is filled with holes but still holds water?
A sponge
400
A triangle is formed with side lengths of 7 inches, 24 inches, and 25 inches. Is the triangle a right triangle?
The triangle is a right triangle because
This is the result of first noting that the sum of the square of the two shorter lengths of the triangle is equal to the square of the longest side (converse of the Pythagorean theorem). This proves it is a right triangle, because 49 + 576 = 625.
400
The average mass of a certain type of microorganism is 2.4 x 10-6 grams. What is the approximate total mass of 5,000 of these microorganisms?
0.012 g
The product of 2.4 x 10-6 and 5 x 103 is (2.4 x 5) x 10(-6 + 3) = 12 x 10-3 = 1.2 x 10-2 = 0.012.
400
A computer technician charges a fixed amount for a repair, plus an additional amount per hour. The equation below describes y, the total amount the technician charges, in dollars, based on x hours for the repair.
y= 45x + 75
What is the meaning of the initial amount for the equation?
It means the technician charges a fixed amount of $75 for the repair.
The initial amount for the equation is $75, and the rate of change is the additional $45 per hour.
400
A square rug has an area of 80 ft2. Which is the best approximation of the length of one side of the rug?
8.9 ft
Area of a square is equal to s2, where s is a side of the square. Since the area is 80 ft2, the side length is equal to the square root of 80 ft. Since radical 64 < radical 80 < radical 81, 8 < s < 9.
400
What is the last day of school?
May 24th
500
12 m
500
3(x + 4) - 11= 28
Solve for x
x = 9
500
Ex: y=3x - 8
The slope is 3
500
Is the square root of 2 rational or irrational?
irrational
This create a nonterminating and non repeating decimal.
500
Who is the mayor of Ashburn?
Sandra Lumpkin