Hi Fellow members of the Cate community, my name is Ciana Smiley and I made this page to help you with your writing equations with variables, questions. Math used to be my least favorite subject until this year, knowing that I'm not wrong if I solved a problem a different way then everyone else made math much less complicated.
Here's a quick video to get you started.
Let's start with a simple equation.
Problem Set 23 Number 8
Find the value of x that makes 0.1x+ 0.25(102 − x) = 17.10 true.
Problem Set 23 Number 8
Find the value of x that makes 0.1x+ 0.25(102 − x) = 17.10 true.
One thing to always remember with all equations is, whatever you do to one side you have to do with the other.
Problem Set 17 Number 1.
Chandler was given $75 for a birthday present. This present, along with earnings from
a summer job, is being set aside for a mountain bike. The job pays $6 per hour, and the
bike costs $345. To be able to buy the bike, how many hours does Chandler need to work?
Chandler was given $75 for a birthday present. This present, along with earnings from
a summer job, is being set aside for a mountain bike. The job pays $6 per hour, and the
bike costs $345. To be able to buy the bike, how many hours does Chandler need to work?
So Chandler would need to work 45 hours to have enough money to buy the bike.
Problem Set 17 Number 2
(Continuation)Let h be the number of hours that Chandler works. What quantity is
represented by the expression 6h? What quantity is represented by the expression 6h+75?
(a) Graph the solutions to the inequality 6h + 75 & 345 on a number line.
(b) Graph the solutions to the inequality 6h + 75 < 345 on a number line.
What do the solutions to the inequality 6h + 75 & 345 signify?
(Continuation)Let h be the number of hours that Chandler works. What quantity is
represented by the expression 6h? What quantity is represented by the expression 6h+75?
(a) Graph the solutions to the inequality 6h + 75 & 345 on a number line.
(b) Graph the solutions to the inequality 6h + 75 < 345 on a number line.
What do the solutions to the inequality 6h + 75 & 345 signify?
So both solutions signify the range of hours he needs to work to work to buy his bike. If he works 45 or more hours he can buy the bike, if he works less then 45 hours he can not.
Problems like this may look complicated because of the inequality sign, but really you solve them the same as equations. The only time anything changes in an inequality problem is if you multiply or divide by a negative, in this case you would flip the inequality sign so it's facing the opposite direction.
Problems like this may look complicated because of the inequality sign, but really you solve them the same as equations. The only time anything changes in an inequality problem is if you multiply or divide by a negative, in this case you would flip the inequality sign so it's facing the opposite direction.
Problem Set 19 Number 6
At noon one day, the Exeter River peaked at 11 feet above flood stage. It then began
to recede, its depth dropping at 4 inches per hour.
(a) At 3:30 that afternoon, how many inches above flood stage was the river?
(b) Let t stand for the number of hours since noon, and h stand for the corresponding
number of inches that the river was above flood stage. Make a table of values, and write
an equation that expresses h in terms of t.
(c) Plot h versus t, putting t on the horizontal axis.
(d) For how many hours past noon was the river at least 36 inches above flood stage?
At noon one day, the Exeter River peaked at 11 feet above flood stage. It then began
to recede, its depth dropping at 4 inches per hour.
(a) At 3:30 that afternoon, how many inches above flood stage was the river?
(b) Let t stand for the number of hours since noon, and h stand for the corresponding
number of inches that the river was above flood stage. Make a table of values, and write
an equation that expresses h in terms of t.
(c) Plot h versus t, putting t on the horizontal axis.
(d) For how many hours past noon was the river at least 36 inches above flood stage?
Problem Set 31 Number 2
A movie theater charges $6 for each adult and $3 for each child. If the total amount
in ticket revenue one evening was $1428 and if there were 56 more children than adults,
then how many children attended?
A movie theater charges $6 for each adult and $3 for each child. If the total amount
in ticket revenue one evening was $1428 and if there were 56 more children than adults,
then how many children attended?
I hope my page, along with my classmates' has been a useful resource for you regarding math. If you have any more math questions here are some credible sites,-- according to Miss Wyat).
http://www.purplemath.com
http://www.khanacademy.org
-Ciana Smiley
http://www.purplemath.com
http://www.khanacademy.org
-Ciana Smiley