Systems of equations
Functions
Two-way frequency tables
Inequalities (systems & graphs)
Analytic geometry
100
is (3 , 7) a solution to the system
y = −4x − 5
y = 3x − 2
No
100
f(x) = 5x − 3
f(5) =
22
100
How many students were female ?
Preference Male Female
prefer dogs 36 20
prefer cats 10 26
no preference 2 6
52
100
is (2 , 4) a solution to the inequality
2x − 7y ≤ −10
Yes
100
What is the distance between (-6 , 8) and (-3 , 9)
Square Root of 10
200
15x + 31y = −3
x = −y + 3
x = 6
y = −3
200
h(t) = −20 + 11t
h(11) =
101
200
how many female students had a positive opinion ?
Gender Positive Negative Neutral
Male 40 36 14
Female 42 56 12
42
200
Is (10 , -2) a solution to the system of inequalities
x − 6y > 5
7x + 2y ≥ 4
Yes
200
point A is at (-7 , -7) and point B is at (-5 , 5) . Find the Midpoint
(-6 , -1)
300
What is the result of adding these two equations ?
2x + 3y = −5
5x − y = −12
7x + 2y = −17
300
g(r) = −5r + 13
g(3) =
-2
300
Create a Two-way table to represent
coconut No coconut
chocolate 3 6
No chocolate 1 2
300
Is (-4 , 2) a solution to the inequality
4x + 5y ≤ −7
No
300
Write the equation of a line that is parallel to x = 8 and passes through the point (-3 , -2)
x = −3
400
Michael is 3 times as old as Brandon. 18 years ago, Michael was 9 times as old as Brandon . How old is Michael now ?
m − 18 = 9(b − 18)
m = 72
400
k(t) = 13t − 2
k(3) =
37
400
Create a Two-way table to represent
Have a cat Not have a cat
Have a dog 7 5
Not have a dog 6 0
400
A robot is expected to filter pollution out of at least 350 liters of air and water . It filters air at the rate of 50 liters per minute , and it filters water at the rate of 20 liters per minute . Write an inequality to represent
50A + 20W ≥ 350
400
what do the following two equations represent ?
y = 4/3x + 5/3
y − 8 = 4/3(x + 6)
Distinct parallel lines
500
−2x + 15y = −24
2x + 9y = 24
x = 12
y = 0
500
k(x) = 6x + 100
k(-5) =
70
500
Approximately what percent of students in the sample do not use Facebook ?
Age Does use Does not use TOTAL
18 to 22 78 4 82
23 + 70 67 137
TOTAL 148 71 219
32%
500
A sundae requires 3 ice-cream scoops and 4 strawberries, and a milkshake requires 2 ice-cream scoops and 6 strawberries. Ramses wants to make sundaes and milkshakes with at most 25 ice-cream scoops and 37 strawberries. Let S denote the number of sundaes he makes and M the number of milkshakes he makes.
Write an inequality that represents the condition based on the number of ice-cream scoops.
Write an inequality that represents the condition based on the number of strawberries.
3S + 2M ≤ 25
4S + 6M ≤ 37
500
What do the following two equations represent ?
4x − 2y = −5
y = −1/2x − 1/10
Perpendicular lines