Verbal Sentences
Write an equation given the verbal expression
The sum of a number and 7 is 5.
x + 7 = 5
x - 5 = -10
x = -5
Which Property is shown:
-12 + 3 = 3 + (-12)
Commutative Property of addition
Simplify using the distributive property
5(x + 2)
Simplify the expression
10 + 6x - 3 - 8x
Write the verbal sentence as an equation.
A number decreased by -7 is equal to 15
Solve the equation.
-46 = x - 39
x = -7
Which property is shown
78 + 0 = 78
Identity property of addition
Simplify using the distributive property.
-3(5 - 2x)
-15 + 6x
Simplify the expression
9x - 20 - 2x - 5
7x - 25
Write the verbal expression as an equation.
The product of seven and a number is negative 49
7y = -49
Solve the equation.
-3x = -90
x = 30
Which property is shown
-4 = -4(1)
Identity of multiplication
Simplify using the distributive property.
-5(2x + 3)
-10x -15
Simplify the expression.
2(5x - 4) - 2
10x - 10
Write the sentence as an equation.
The quotient of 32 and a number is equal to 8.
32/x = 8
Solve the equation.
-4x = 28
x = -7
Which property is shown?
(2 + x) + 4x = 2 + (x + 4x)
Associative of addition
Simplify using the distributive property.
(9x - 21)(3)
27x -63
Simplify the expression.
-3(3x + 1) + 4x - 6
-5x -9
Write an equation given the verbal sentence.
One third of a number decreased by seven is equal to nine.
1/3x - 7 = 9
Solve the equation.
x/7 = -6
x = -42
Which property is shown?
6x + 15 = 3(2x + 5)
Distributive property
(-3x - 8)(-7)
21x + 56
Simplify the expression.
-5(1 - 2x) -7(4 - 3x)
31x - 33