Simplify Equations
Solve
5 - 3x = -19
x = 8
Snow is in the forecast at Lynnfield this week. Consider the fact that there is an inch of snow on the ground. If the snow falls at a rate of 2.5 inches per second, how long will it take for there to be 6 inches of snow on the ground?
2 hours.
5 inches of snow to fall. 2.5 per hour.
5/2.5 = 2
If
6X = (-30)
Then
2x - 4 = ?
-14
Which of the following equations will have a solution of zero?
A. 2x – 6 = 3x – 8
B. -x + 2 = 6x + 5
C. 4x – 4 = 2x – 1
D. -2x + 1 = -5x + 1
D
3(5-x) = 30
x = -5
Gwen and her mom are making boxed lunches for their catering company. Gwen can make 15 lunches per hour, her mother can make 18 per hour. They are working to complete an order for 200 lunches.
How many lunches can Gwen and her mom make per hour?
How long will it take them to complete the order?
33 lunches per hour
Will take 6.06 hours = 6 hours + 3 minutes to complete the order
If
3p = 7w
Then
4(3p) + 1 =
28w + 1
An Olympic swimming pool has a perimeter of 150 meters. The length of the pool is twice the width of the pool.
Find the length and width of the swimming pool
Length = 50 meters
Width = 25 meters
50 + 50 + 25 + 25 = 150
5 - (3/4)x = -7
x = 16
The concession stand sells soda and popcorn.
Buying 4 sodas and 2 popcorn is the same as buying 2 sodas and 4 popcorn.
If sodas cost $1, how much does Popcorn cost?
$1
If
6x + 3y = 21 ... AND 2x = 4
THEN
12x + 6y = ?
42
(3(x+2) - 1)/-5 = 5
x = -10
5x - (3 - 2x) = 4x + 7 - 2x
Robbie is budgeting his study time before final exams. Forty percent of his study time will be spent reviewing history. Of the remaining study time, one-half will be devoted to biology and 4 hours will be allotted for Algebra 1. If Robbie then has 1.4 hours remaining in his schedule to study for his health exam, determine the total number of hours Robbie has budgeted for studying.
18 hours
10 + (x+4)/2 = 18
x = 12
Ashley and Bruce are running for student body president. Ashley currently has the support of 40% of the students and Bruce has the support of 24% of the students. Many are undecided. Ashley and Bruce hand out flyers, host speeches etc... After 2 weeks, Ashley has the support of 44% of the student body and Bruce has the support of 36% of the body.
If these rates continue until all undecided voters are accounted for, who will win the election?
Bruce