Multi-step equations
5x - 4 = 3x + 12
x=8
What is the absolute value equation for the following solution set?
{-4,6}
|x-1|=5
solve, and graph the inequality:
v +8 < 3 or -8v < -40
v < -5 or v >5
(2s2 - 5st - t2) - (s2+7st-t2)
s2 - 12st
Multiply the polynomials
(y + 6) (y + 4 )
y2 + 10y + 24
3t + 4 = 12 + 3t
no solution
A teacher has test scores for a class modeled by the equation below (where x is the score a student obtains):|x - 82| ≥ 9 What is the average test score?
82%
solve and graph
11x + 4 < 15 OR 12x - 7 > -25
All values of x are solutions.
(5x – 1) + (10x2 + 7x)
10x2 + 12x - 1
Factorize the following polynomial
9r5 + 15r6- 12r3
3r3 ( 3r2 + 5r3 - 4 )
10 ( 2y + 2) - y =2 ( 8y - 8 )
y = -12
What is the absolute value equation for the solution set {3,7}
|x - 5 | = 2
12x + 7 < -11 AND 5x - 8 > 40
No solution
(2x² - 4) - (x² + 3x - 3)
x² - 3x - 1
the shipping container is a rectangular prism. Write a polynomial that represents the volume of the container that has a length of (4x-3) ft and a width of (x+1) ft and a hight of (x + 2) ft
( 4x3+ 9x2 - x - 6 ) ft3
you and your friend driving toward each other. The equation 50h = 190 - 45h represents the number h of hours until you and your friend meet. when will you meet?
2 h
3| x + 4| - 1 > 11
X<-8 OR x > 0
2x + 3> 7 OR 2x +9 > 11
X>1
the cost(in dollars) of making b bracelets is represented by 4 + 5b. the cost ( in dollars) of making b necklaces is represented by 8b + 6. Write a polynomial that represents how much more it costs to make b necklaces than b bracelets
3b + 2
A rectangle football field has a length of (10x + 10 ) ft and a width of (4x + 20) ft
a.Write a polynomial that represents the area of the football field.
b. find the area of the football field when the width is 160 ft
a. (40x2 + 240x +200) ft2
b. 57,600
David drove 4 hours to reach his camping spot. Driving home he increased his speed by 15 miles per hour. reducing her travel time by 1 hour. how fast did he drive going to the camping spot?
r= 45
The normal body temperature of a camel is 37oC. this temperature varies by up to 3oC throughout the day. write and solve an absolute value inequality that represents the range of normal body temperatures ( in degrees celsius) of the camel throughout the day.
| T - 37 | < or equals 3
34oC to 40oC
Solve and graph
X > 0 AND X < 4
0< X < 4
The number of individuals memberships at a fitness center in m months is represented by 142 + 12 m. the number of family memberships at fitness center in m months is represented by 52 + 6m. write a polynomial that represents the total number of memberships at the fitness center.
194 + 18m
Find the product of (4x+1)2
16x2 + 8x + 1