Simplify Expressions
-12 + 0.6(50 -11x) + 2.6x
-4x + 18
What is the correct first step in solving the equation?
x/-3.5 + 33= 30
Subtract 33 from both sides
Solve:
17 - 1/9 x= 10
x = 63
What is the simplified version of this equation? (Not solved)
34= -2 + 9x + 16 + x
34 = 10x + 14
Write and solve an equation based on the following description:
46 less than -8 times a number is the same as 8 less than -6 times the number
-8x - 46 = -6x - 8
x = -19
Simplify:
1/3(6x - 9) + 15
2x + 12
Solve:
x/-3.5 + 33 = 30
x = 10.5
Solve:
4.8x + 13 = 1
x = -2.5
Solve:
-4x + 6(4x - 3) = -8
x = 1/2
Write and solve an equation based on the following description:
a number increased by 11 is equal to twice the number decreased by 12
x + 11 = 2x - 12
x = 23
Simplify:
–6s + 2(4 + 6s) – 7
6s + 1
Solve:
- 3/8(x - 24) + x = 19
x = 16
Solve:
-0.2(25x + 5) - 5 = 4
x = -2
Solve:
10x + 2(x - 6) = 3(4x - 4)
all real numbers
A tennis club charges $30 per session to play tennis. Customers can also buy a membership for $48 annually, and sessions would be $22 each. Write and solve an equation to find the number of sessions a customer would have to buy in order for the two options to be equal.
x = number of sessions
30x = 48 + 22x
x = 6 sessions
Simplify:
–8(c + 2) – 10(c + 7)
-18c - 86
Solve:
2(9x - 6) = 6(3x - 2) + 2
no solution
Solve:
1/3 x + 2/3(x - 24) = 1/6 x - 6
x = 12
Solve:
8 + 4x = 2x + 8 + 2x
all real numbers
My coffee cup has 300 mL of coffee but is leaking at a rate of 10 mL per minute. In another cup, there is 195 mL of coffee and the coffee maker is adding 5 mL per minute. Write and solve an equation to determine when the two cups will contain the same amount of coffee.
x = number of minutes
300 - 10x = 195 + 5x
x = 7 minutes