Equations
Inequalities
Functions
Applications
Miscellaneous
100
Solve for q:
8=4(q-2)+4
q=3
100
Solve and graph the inequality:
25 > -5h
h > -5
100
What is function notation?
f(x)
pronounced "f of x"
100
B
100
What correlation would you expect the following pair of data to have?
Someone's age and how many birds they see outside in a day.
no correlation
200
Solve for m:
g=(2+m)/9
m=9g-2
200
Solve and graph the inequality:
-1<=x-3<=3
2<=x<=6
200
Is the following relation a function? Provide an explanation.
Yes! Each domain value is paired with only one range value.
200
A tree casts a shadow 8 ft long at the same time that a nearby 3-foot-tall pole casts a shadow 2 ft long. Write and solve a proportion to find the height of the tree.
The tree is 12 feet tall.
200
What is the common difference of this sequence?
8.2, 1.8, -4.6, -11, ...
d = -6.4
300
Solve for x:
(x+3)/8=4/10
x=0.2
300
Solve and graph the inequality:
-2x+1>=19
OR
2(x-12)>4
x<=-9
OR
x>14
*graph: solid dot on -9, open dot on 14, shaded in opposite directions.
300
If
f(x)=5-3x+2
what is the value of x when f(x)=1 ?
x=2; f(2)=1
300
Aidan pays for a music subscription service that charges a fee of $8 plus $6 per month. Celia pays for a different subscription that charges a fee of $14 plus an additional $4 per month. How many months until the total cost they have paid is the same? Write and solve an equation to represent the scenario. Include units in your answer.
After 3 months, the amount they paid will be the same.
300
Find the 25th term in the sequence:
3, 1, -1, -3, ...
a25 = -45
400
Solve for x:
|x-4|=-1
no solution
400
Solve and graph the following inequality:
-3|x+4|+1<10
all real numbers
400
What is the function rule for the following table? Make sure it is in function notation.
b(x)=2x+1
400
Jessica has $40 in her bank account and deposits $20 per month. Bert has $15 in his bank account and deposits $25 per month. After how many months will Bert have more in his bank account than Jessica? Set up and solve an inequality that represents the situation.
After 5 months, Bert will have more money than Jessica.
400
Find the value of p:
p = 15
500
Solve for y:
xy-4y=10
y=10/(x-4)
500
Solve and graph the following inequality:
2x-1<x+3<3x+2
0.5<x<4
*graph: open dots on both 0.5 and 4, shaded in between
500
What is the domain and range of the function below? Use interval notation.
Domain
[-4, infty)
Range
(-infty, 2]
500
A doctor prescribed 15 pills for his patient to be taken in the first week. Given that the patient should decrease the dosage by 3 pills every week, find the week in which he will stop taking the medicine completely.
On week 6, he will stop taking the medicine completely.
500
Write a function rule for the following table:
f(x)=-1/4x-2