Variables on Both Sides
Solving Equations
-4(-8p + 1) = -4 - 8p
p = 0
Solving Equations
4x + 3 = 7
x = 1
Write an expression for this:
Jenny charges $25 per hour and requires a $40 booking fee. (let h represent # of hours)
25h + 40
Write an equation for the nth term of the geometric sequences.
3, 15, 75, 375, 1875, ...
an = 3*5n-1
Write an equation for the nth term of the arithmetic sequences.
1, 4, 7, 10, 13, ...
an = 1 + (n - 1)3
Solving Equations
6(6n - 2) = 8n - 40
n = -1
Solving Equations
4(6 + 5x) = 124
x = 5
A youth club is organizing a camping trip. The initial number of boys signed up is 40, and each week, 2 more boys join the trip. How long will it take for there to be 100 boys signed up?
It will take 30 weeks for 100 boys to sign up.
Write an equation for the nth term of the geometric sequences.
324, 108, 36, 12, 4, ...
an) = 324 * (1/3
Write an equation for the nth term of the arithmetic sequences.
3, 8, 13, 18, 23, ...
an = 3 + (n - 1)5
-13 + n + 5 +6 = 5 + 4n - 4
n = -1
Solving Equations
-108 = -8(x + 6) - 4
x = 7
Find three consecutive integers that has a sum of 243
The three numbers are 80, 81, and 82
Write an equation for the nth term of the geometric sequences.
1, -2, 4, -8, 16, ....
an=1 * (-2)n-1
Write an equation for the nth term of the arithmetic sequences.
-8, -2, 4, 10, 16, ...
an = -8 + (n - 1)6
-13 + 6n = -7(5n - 4)
n = 1
Solving Equations
172 = 5(4a + 6) + 2
a=7
The school that Stefan goes to is selling tickets to a choral performance. On the first day of ticket sales the school sold 3 senior citizen tickets and 1 child ticket for a total of $38. The school took in $52 on the second day by selling 3 senior citizen tickets and 2 child tickets. Find the price of a senior citizen ticket and the price of a child ticket
senior citizen ticket: $8, child ticket: $14
Write an equation for the nth term of the geometric sequences. Then find the 8th term
3, 6, 12, 24, ...
an= 3*(2)n-1
a8= 384
Write an equation for the nth term of the arithmetic sequences. Then find the 7th term.
-6, 1, 8, 15, 22, ...
an = -6 + (n - 1)7
a7 = 36
-7( 4x + 7) = 3 + 4(-4 - 6x)
x = -9
Solving Equations
-93 = 7(-3k - 8) + 5
k = 2
The sum of two numbers is 15. Twice the first number added to three times the second number is 36. Write a system of linear equations to represent this information and find the values of the two numbers.
The two numbers are 9 and 6
Write an equation for the nth term of the geometric sequences. Then find the 10th term
128, 64, 32, 16, 8, ...
an= 128(1/2)n-1
a10= 0.25
Write an equation for the nth term of the arithmetic sequences. Find the 10th term
11, 4, -3, -10, -17, -24, ...
an = 11 + (n - 1)(-7)
a10 = -52