Real Numbers
Polynomials
Equations & Systems
Inequalities
Misc.
100
What is the GCF (greatest common factor) of 20x3y and 60x2? (20 sec)
20x2
100
Simplify. (30 sec)
3k(2k^2-10k+1)
6k^3-30k2+3k
100
(30 sec)
A - Associative Property of Addition
(Since the order didn't change, just the grouping)
100
Write the inequality for the graph shown. (30 sec)
x>3 and x<=7
or
3<x<=7
100
Is (2,2) a solution to the system of inequalities? Explain your thinking.
No, because it is not in the double-shaded region.
200
Simplify. (20 sec)
|3^2-10|+1^3
2
200
Simplify. (30 sec)
(x+3)(x-7)
x^2-4x-21
200
Most of the work to solve an equation is shown below. What is the solution to the equation shown? (30 sec)
All real numbers (or infinite solutions)
200
Which number is a solution? (45 sec)
2x+4>10
A) x = 1 B) x = 2
C) x = 3 D) x = 4
D
200
If 7(2x - 5) = 77, what is the value of 3x? (90 sec)
24
(x=8, so 3(8) = 24)
300
Simplify. (30 sec)
sqrt50
5sqrt2
300
What is the LCM of the two monomials shown? (30 sec)
2m^2n, 5m^3n^4p
10m^3n^4p
300
What is the solution to the system of equations shown? (20 sec)
(5,-2)
300
Solve: -9 < -2x + 1 < 5
(60 sec)
-2 < x < 5
or
5 > x > -2
300
What is the greatest common factor? (30 sec)
12x5yz4 , 60x2y6 , 24x3y4z6
12x2y
400
Put the three real numbers in order from least to greatest. (30 sec)
pi, 10/3, sqrt6, sqrt16
sqrt6, pi, 10/3, sqrt16
400
Factor the trinomial. (30 sec)
x^2-4x-24
(x+4)(x-6)
400
The school that Stefan goes to is selling tickets to a choral performance. On the first day of ticket sales the school sold 3 senior citizen tickets and 1 child ticket for a total of $38. The school took in $52 on the second day by selling 3 senior citizen tickets and 2 child tickets. A system of equations representing the problem is given below. Explain what the solution (x, y) represents. Be specific. (90 sec)
3x+y=38
3x+2y=52
x = price for a senior citizen ticket
y = price for a child ticket
400
The senior class needs to raise at least $1000 for their end of year trip. They have $185 already and are selling pizzas for $11 each. What is the minimum number of pizzas they need to sell to reach their goal? (90 sec)
They need to sell at least 75 pizzas.
(74.09 needs to round UP!)
400
Solve: |x+2| - 3 = 5
(90 sec)
x = 6, -10
1) Isolate the AV.
2) Branch (for two solutions)
500
Compare the two irrational numbers with an inequality symbol. _____ (symbol) _____ (45 sec)
2pi, sqrt36,sqrt48
2pi<sqrt48
or
sqrt48>2pi
500
Factor the binomial. (30 sec)
x^2-25
(x+5)(x-5)
500
Solve the system of equations. (90 sec)
3x+y=38
3x+2y=52
(8,14)
500
Solve the inequality. (90 sec)
|2x-4|<14
x> -5 and x<9
or
-5<x<9
500
If (x - 5)(2x2 + 6x - 5) = 2x3 - mx2 - 35x + 25, what is the value of m?
(120 sec)
m = 4
x * 6x = 6x2 and -5 * 2x2 = -10x2
6x2 - 10x2