Vocabulary
4+3 is an example of an ___
expression
x + 3 = 17
x = 14
9x = 27
x = 3
Write as an equation:
a number x minus 6 is nine
x - 6 = 9
m + 3.7 = 8.9
m = 5.2
An equation that has two unknown numbers
Equation with two variable
1/2 x = 50
x = 100
Write as an equation: one half of c is 35
c/2 = 35
45x = 900
x = 20
A Mathematical property that states that subtracting the same number from both sides of the equation still makes the equation true.
Subtraction Property of Equality
Solve for k : a number k less than 100 is 90
k = 10
Solve for m: ten times a number m is 340.
m = 34
Write as an equation: forty increased by a number h is fifty five
40 + h = 55
r - 12.5 = 34.75
r = 47.25
A Mathematical property that states that adding the same number to both sides of the equation still makes the equation true.
Addition Property of Equality
Solution or Not a Solution:
36 - x = 14, x = 21
Not a Solution
3/4 x = 12
x = 16
Write as an equation: three times a number f decreased by 4 times a number g equals one hundred.
3f - 4g = 100
Solution or Not a Solution:
y = 3x; (2, 6)
Solution
A statement that expresses equivalence between two expressions
Equation
Which of the following has a solution of 1
a. x + 3 = 5
b. x - 45 = 47
c. x - 9 = 10
c. x - 9 = 10
Which of the following has a solution of 1
a. 4x = 8
b. 1/2x = 0.5
c. 0.25x = 0.75
b. 1/2x = 0.5
Write an equation for the word problem:
You bought three bags (b) and two pairs of shoes (s) for $4500
3b + 2s = 4500
Which of the following equations has an ordered pair which is not a solution?
a. y = 5x ; (3,15)
b. y = x - 10 ; (12,2)
c. y = x + 4 ; (5, 8)
c. y = x + 4 ; (5, 8)