Number of Solutions
How many solutions are there for the following equation?
4x + 8 = 16
Only one, x=2
Write an expression for the following:
The sum of a number and 6
n + 6
2x + 11 =31
x = 10
12x+5 = 6x+17
x = 2
Sarah works at T-Mobile and gets paid $400 a week in addition to $40 for each cell phone plan she sells. If she made $560 last week, how many cell phone plans did she sell?
560 = 40x + 400
x= 4 cell phone plans
How many solutions are there for the following equation?
-3x + 8 = -3x - 12
No solutions, 8 does not equal -12
Write an expression for the following:
The quotient of 7 and a number
7/n
-4x - 9 = -21
x=3
-4x + 6 -3x = -8
x=2
Josh can rent a car for $25 a day and an $80 dollar fee for insurance. If his total bill was $230, how many days did he rent the car? Write an equation to represent the situation and then solve.
230 = 25x + 80
x = 6 days
How many solutions are there for the following equation?
4x + 11 + 8x = 12x + 11
Infinite Solutions
10 more than twice a number is 12
2n + 10 = 12
x/2 +4=12
x=16
1/2(18x - 8) = 6x- 13
x = -3
Tree A was was 2 feet when planted and grew 4 feet per year. Tree B was 6 feet when planted and grew 2 feet a year. When will the two trees be the same height? How tall will they be? Write and equation to represent the situation and then solve.
2 + 4x = 6 + 2x
x= 2 years
In 2 years, both trees will be 10 feet tall.
How many solutions are there for the following equation?
3x + 9 + 8x = 11x + 20 - 11
infinite solutions
three times more than the sum of a number and 2
3(n+2)
-5(x-9) = 35
x = 2
3(2x+4) = 5(3x - 3)
x = 3
Two A has a population of 12,000 and increases 500 people per year. Town B has a population of 20,000 and decreases 300 people per year. When will the two town have the same population? How many people will live there? Write and equation to represent the situation and then solve.
12,000 + 500x = 20,000 - 300x
x=10
In 10 years the populations will both be at 17, 000 people.
How many solutions are there for the following equation?
5(3x - 7) = 11x - 9 + 4x
No solution -35 does not equal -9
Write an expression for the following:
Half of a number decreased by 12 is 80
n/2 -12 = 80
(x+5)/4=12
x = 43
2x + x - 9 = -2x + 11x - 2x -21
x = 3
While playing cards, Sara got 5 more points than Robbie, and Jane got 2 times as many points as Sara. If their total points was 127, how many points did each person get?
x + (x + 5) + 2(x+5)= 127
x= 28
Sara= 33 points
Robbie= 28 points
Jane= 66 points