+-*/ of the integers
variables
integers and absolute value
inductive reasoning and patterns
coordinate planes
100
evaluate a+b
92 – 61 + 30 – (–35)=a
198 + 213 – {32 – (372)}=b
a+b=?
847
100
(3x+1)(x−4)−(x+2)(3x−1)
-16x-2
100
∣x+2∣=3
x=1 or x=-5
100
In a school of 173 students, 89 like football, 137 like basketball, and 58 like both. How many like none?
5 students
100
Find the length of the line segment A(2,3) and B(10,15)
√206
200
Two whole numbers add up to 30.
When the larger number is divided by the smaller, the quotient is 3 and the remainder is 2.
What are the two numbers?
7 and 23
200
Let x+y=6 and xy=5
Find: x2+y2
26
200
|||12−25|−|8−20||−||3|+|−9|||=?
11
200
A says, “One of us is lying.” B says, “A is telling the truth.” Who is lying?
Both
200
The line x–2y+3=0 is rotated about its intercept on the y-axis by 45 degrees. Find the new equation.
For m=3: 6x−2y+3=0
For m=−1/3: 2x+6y-9=0
300
(24 × (1 ÷ 2 + 5 ÷ 12 − 7 ÷ 8 + 2 ÷ 3)) × (101 + 67 − 24 + 150 − 20 − 170 − 100) × ((-1) + 3 − (-2))=
272
300
Simplify x6−64
(x−2)(x+2)(x2+2x+4)(x2−2x+4)
300
|x−3|+|x+1|+|x−7|
x=3, 8
300
A store sells 3 types of notebooks: $2.50 for a spiral notebook, $2 for a drawbook and $1.75 for a plain notebook. If you buy 18 notebooks total and spend $45.75, how many spiral notebooks did you buy?
13
300
The vertices of a triangle are A(1,2), B(3,8), C(5,4). Show that it is isosceles.
言之有理即可（不想写了）
400
What is the value of 
A
400
Simplify 4x2−25y2+20xy
(2x - 5y)(2x + 5y)
400
|2x−5|=|x+4|
x=1/3 or x=9
400
Four students—Julien, Nelson, Michael and Ethan—are ranked 1st to 4th in a math test. Nelson is not 1st or 4th. Julien is higher than Ethan. Michael is 2nd. What is the order?
Julien, Michael, Nelson, Ethan
400
Find the area of the quadrilateral formed by the lines: x=0, y=0, x+y=4, and x+2y=6
7
500
(x2+6x+9)(x2−9)−(x+3)2(x−3)2
0
500
(x+y)3−(x3+y3+3xy(x+y)) = ?
0
500
Simplify |x−2|+|x+2|
x≤−2, -2x
−2<x<2, 4
x≥2, 2x
500
Sequence: 2,6,12,20,30,42,… What is the formula?
n(n+1)
500
There are two given points: A(1,1) & B(-1,2). What is C's coordinate if Triangle ABC has its shortest perimeter possible?
C(-1,1)