Slope and Graph of a Line
Find the range of the function, given the domain.
f(x) = x2 - 5x + 6; {-4, -3, 4}
*Remember: Set notation is listed from least to greatest*
R = {2,30,42}
What are the similiarites between systems of equations and systems of inequalities?
SOE/Inequ have either one, none, or infinitely many solutions
Solve the literal equation for x
y = mx + b
x = y-b / m
Translate the verbal expression
Eighteen more than twice a number is no more than fourteen
18+2n < 14
Adam needs to find the solution to the equation
4x + 6 = 22. First Adam will-
A: subtract 6 from 6 and subtract 6 from 22subtract 6 from 6 and subtract 6 from 22
B: add 6 to 4 and add 6 to 22add 6 to 4 and add 6 to 22
C: divide 4x by 4 and divide 22 by 4divide 4x by 4 and divide 22 by 4
D: add 6 to 6 and add 6 to 22
A
Find the Domain and Range of the relation
{(-7, -3), (-3, -1), (-1, 0), (3,2), (7,4)}
Is it a function? Yes or No
D = {-7,-3,-1,3,7}
R= {-3,-1,0,2,4}
This relation is a function.
Identify the points that are in the solution set to the system of inequalities shown. Select ALL that apply.
{ 2x-5y >= 25 ; 3x+9y < 9
A (5, −5)
B (10, −4)
C (3, 0)
D (1, −10)
E (0, 1)
F (15,-1)
Identify each solution that makes the following inequality true.
3x-5 < 4x+3
-2
8
3/4
Koryn has 12 cookies. She eats 3 cookies per day. Which expression represents this situation?
12 - 3n
What is the correct solution to the inequality?
−4x−18 ≥ −6x−10
x >= 4
Which is the equation for the line that passes through the points (−2, 3) and (−4, 8)?
B
What is the solution to the system of equations?
{ 4x+2y=20
{3x+2y =10
(10,-10)
Solve the following equation: one solution, many solutions or no solution
2(x+2) = 4x + 4 - 2x
infinitely many solutions
What is the value of a2−4 / a2+2 when a=−4
2/3
You have four books on your shelf. You purchase 2 new books each month with money from your part-time job. Which equation can be used to determine how many months will it take you to have 26 books on the shelf?
2m+4=26
What is the slope of the line −2y=−4x−8
slope, m = 2
Mariah and Brad went to the local bakery.
Mariah bought 3 cookies and 2 cupcakes for $13.75. Brad bought 6 cookies and 3 cupcakes for $24.00.
What is the cost of one cupcake?
$3.50 for 1 cupcake
Literal solution: solve for h
A = 1/2bh
h = 2A/b
Evaluate the expression if s = 2 and t = 5. Write your solution in the box.
-4s2 + t3 ÷ 5
9
In a box of 48 oranges, 1 in 6 oranges is rotten. Which proportion can be used to determine how many rotten oranges are in the box?
x/48 = 1/6
Given f(x)=−5x2+3 and a domain of {−1, 0, 1, 2}, what is the range?
R = {-17, -2, 3}
Which numbered region contains the solutions to the following system of inequalities?
{y ≥−53x + 3
{y ≥ 13x − 3
Region 1
3(x - 4)/2 = x + 2/3
x = 40/7 or 5 5/7
What is the value of if x = –4 and y = 5?
-42
Which set of points represents a function?
A {(2,6), (1,-5), (2, 2), (3, 6)}
B {(1,-2)(2,-2), (3, -2), (4, -2)}
C {(-1,-2), (0,4), (-1, -4), (5, 7)}
D {(3,3), (7,10), (-1, 3), (3, 9)}
B