Solving Equations - Integers
3x + 7 = 2x - 4
x = -11
3x - 1/2 = 5/2
x = 2
2x + 7 = 19
x=6
Equation: x + 3x = 32
X= 8
Ben has 8 apples
Define the term coefficient
The number that multiplies a variable in an algebraic expression or equation.
7x - 25 = 165
x = 20
5 - x / 4 =2
x = 12
5y - 3 = 2y + 9
y=4
A movie ticket costs y dollars. If 5 friends buy tickets and spend a total of 60 dollars, write and solve an equation to find the cost of one ticket.
5y = 60
y=12
Each ticket costs $12
Define the term variable
The unknown in an algebraic expression or equation.
4(x+2) = 2x-6
x = -7
2/3x + 4 = 10
x = 9
2(a-3) = 10
a=8
A number decreased by 7 equals 21. Write an equation for this problem and solve for the number.
Equation: n-7=21
n=28
A variable is a symbol, usually a letter, that represents an unknown. A constant is a fixed value that does not change.
8 - 2x = 3x + 13
x =-1
1/3 x + 2/5 = 1
x = 9/5
A number is multiplied by 4 and then 5 is subtracted. The result is 11. What is the number?
4n-5 = 11
n=4
Sarah bought m packs of markers for 4 dollars each and spent a total of 28 dollars. Write an equation and solve for m.
4m=28
m=7
Sarah bought 7 packs of markers
What is an equation? Give an example
An equation is a mathematical statement that shows two expressions are equal.
Ex 2x+3=7
x (x-1) = 2(x + 5)
x= 13
4x - 5 = 1/2 x + 3
x = 2
n + 14 = 3n
n = 7
The sum of a number and half of that number is 24. Write an equation and solve for the number.
Equation: x + 1/2x = 24
x=16
The number is 16
In the equation 4x-5=11
Identify the coefficient, variable, and constant
Coefficient=4
Variable=x
Constant=-5