Real Numbers
Polynomials
Equations & Systems
Inequalities
Test Design
100
What is the GCF (greatest common factor) of 20 and 50?
10
(If you said 100, you found the LCM, least common multiple.)
100
Find the product.
3k(2k^2-10)
6k^3-30k
100
Choose a line in this work and explain which property justifies it.
Line 2 Distributive property
Line 3 Subtraction property of equality
Line 4 Additive inverse property
100
Write the inequality for the graph shown.
x>3 and x<=7
or
3<x<=7
100
How many modules are on the Keystone?
2
200
Simplify.
|3^2-10|+1^3
2
200
Multiply the binomials.
(x+3)(x-7)
x^2-4x-21
200
What is the solution to the equation shown?
All real numbers (or infinite solutions)
200
Is 3 part of the solution set for this inequality?
2x+4>10
No, 10 is not greater than 10.
2*3+4=10
10>10
200
What percent (roughly) do you need to get correct to test proficient on the Keystone?
50%
300
Simplify.
sqrt50
5sqrt2
300
What is the LCM of the two monomials shown?
2m^2n, 5m^3n^4
10m^3n^4
300
What is the solution to the system of equations shown?
(5,-2)
300
The senior class needs to raise more than $1000 for their end of year trip. They have $300 already and are selling pizzas for $15 each. What is the minimum number of pizzas they need to sell to reach their goal?
They need to sell at least 47 pizzas.
300
Can you be proficient on the Keystone without points from Constructed Response questions?
No, you need to get at least 2 points on most of the CR questions to be proficient.
400
Put the three real numbers in order from least to greatest.
pi, 5i, sqrt3, 2^2
sqrt3, pi, 2^2
400
Factor the trinomial.
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. Write a system of equations to represent this situation.
3x+y=38
3x+2y=52
400
Solve the inequality.
|2x-4|<14
x> -5 and x<9
or
-5<x<9
400
How many multiple choice questions are on each module of the Keystone?
23
500
Compare the two irrational numbers with an inequality symbol.
2pi, sqrt36,sqrt45
2pi<sqrt45
or
sqrt45>2pi
500
Factor the binomial.
x^2-25
(x+5)(x-5)
500
Solve the system of equations.
3x+y=38
3x+2y=52
(8,14)
500
Is (2,2) a solution to the system of inequalities? Explain your thinking.
No, because it is not in the double-shaded region.
500
How many constructed response questions are on each module of the Keystone?
4