Simplifying Expressions
The expression:
(3x2+4x-8)+2(11-5x)
is equivalent to...
3x2-6x+14
WORK
- distribute the 2
-combine like terms
Evaluate f(-3) if f(x)=x2+4x+5
2
Solve for m:
5 = 5m - 23 + 2m
m =4
WORK
5 = 5m - 23 + 2m
5 = 5m + 2m - 23
5 = 7m - 23
5 + 23 = 7m - 23 + 23
28 = 7m
28/7 = 7m/7
4 = m
In Stranger things, what is Elevens Favorite Food?
Ego waffles
Susan goes to the store and purchases bags of chips for her class for $4 each. She spends $40 in total, how many bags of chips did she buy at the store?
10 bags of chips
What is the product of (2x+7) and (x-3)?
2x2+x-21
WORK
Box Method or Double Distribute
Given the function g(x)=(2x+3)/(x2-2), find g(-2)
1
Solve for x:
-2.4(x + 1.4)= 6.8x - 22.68
x = 2.1
Which two NFL teams consistently play a game on Thanksgiving day?
Detroit Lions & Dallas Cowboys
Olivia worked for 4 hours on Saturday and 8 hours on Sunday. She received a $50 holiday bonus. She earned $164.00 in total. How much did Olivia make per hour?
$9.50 per hour.
WORK
4x + 8x + 50 = 164
12x + 50 = 164
12x + 50 - 50 = 164 - 50
12x = 114
12x/12 = 114/12
x = 9.5 ~~~> $9.50
Express the product of the following expression in standard form.
2x2+7x-10 and x+5
2x3+17x2+25x-50
WORK
Box Method
Given the function f(x)=2x2+2x-4 on the domain
[-1, 5], what is the range?
[-4, 56]
Solve for x:
-8(2x - 1) = 36
x = -7/4
Name 3 actors that are part of the Marvel Universe AND who they play.
Let's hear it!
Brenda has $500 in her bank account. Every week, she withdraws $40 for expenses. Without making any deposits, how many weeks can she withdraw this money if she wants to maintain a balance of at least $200?
7 weeks
Work;
500-40x>200
Write the expression 5x+4x2(2x+7)-6x2-9x in standard form
8x3 + 22x2 - 4x
WORK
distribute
Highest exponent in front
The range of the function f(x)=x2 - 8 is...
(Write in interval notation)
[-8, infinity)
Solve for x:
3.5 - 0.02x = 1.24
x = 113
WORK
3.5 - 0.02x = 1.24
100*(3.5 - 0.02x) = 1.24*100
350 - 2x = 124 [Distributive Property]
350 - 350 - 2x = 124 - 350
-2x/(-2) = -226/(-2)
x = 113
Stefon Diggs just had a baby with which famous rapper?
Cardi B
Online concert tickets cost $37 each for a local concert at Jones Beach. The website also charges a transaction fee of $14.99 for the purchase. You paid $199.99. How many tickets did you buy?
You bought 5 tickets.
WORK
37t + 14.99 = 199.99
When (2x-3)2 is subtracted from 5x2, the result is...
x2-12x+9
WORK
5x2-(2x-3)(2x-3)
Yes, they both equal 3
Solve for x:
(x+4)/3=(x+2)/5
x = -7
Aside from the most recent season, which famous influencer on Tik Tok also competed on dancing with the stars?
Charli D'Amelio
The length of a rectangle is nine less than three times the width. If the perimeter of the rectangle is 70, find each dimension.
width = 11
length = 24
WORK
Let width = x
Let length = 3x-9