One-Step Equations
x + 3 = 8
x = 5
Solve the equations.
14 - 3g = 32
g = -6
Solve the equation.
6(x - 1) = 12
x = 3
331 students went on a field trip. Six buses were filled and 7 students traveled in cars. Write and solve an equation to determine how many students are on each bus.
6x + 7 =331
x= 54
Unknown value represented by a letter (typically x)
Variable
x - 10 = -15
x = -5
Solve the equations.
w/4 -21=-3
w = 72
Solve the equations.
5 + 2(x - 2) = 19
x = 9
You bought a magazine for $5 and four erasers. You spent a total of $25. How much did each eraser cost?
5 + 4e = 25
e = 5
The number that is multiplied by a variable.
Coefficient
x/10 =7
x = 70
Solve
-4(6x -14) = -16
x = 3
Solve the equation
5(3n - 6) = -30
n = 0
Malachi has $240 to buy new headphones. He has already saved $30. He earns $14 per car that he washes. What is the number of cars he needs to wash to buy the headphones?
14c + 30 = 240
c = 15
To check if your answer is correct you need to _____________ into the original equation and see if both sides equal the same value.
Substitute
4x = -36
x = -9
(x - 10)/3 = 27
x = 91
Solve the equation
42 = 18x + 4(x + 5)
x = 1
Logan set a goal of saving $200 in a savings account. He currently has $60 in the account. If he saves $5 of his weekly allowance per week, how many weeks will it take him to reach his goal?
5w + 60 = 200
w = 28
A number by itself (with no variable)
Constant
Determine if x = 9 is a solution to the equation:
5x = 50
No, because 50/5 is not 9, it's 10.
DAILY DOUBLE!!!! Write the verbal sentence as an equation and solve. Five minus the product of 2 and a number is 7.
5-2x=7
x=-1
What is the solution of the equation:
-3(2x - 1) = -21
x = 4
A hot air balloon is descending at a rate of 25 feet per minute. If the balloon started at 500 feet and is now at 275 feet, how many minutes has it been descending?
-25x + 500 = 275
x = 9
Symbol used to change an expression into an equation.
Equal sign