Core Connections Geometry, 2013
CC
Core Connections Geometry, 2013 View details
2. Section 1.2
Continue to next subchapter

Exercise 86 Page 48

Practice makes perfect
a To solve an equation, we should first gather all of the variable terms on one side of the equation and all constants on the other side by using the Properties of Equality.
8x-22= - 60
8x= - 38
x= - 38/8
x= - 38/8
x= - 4.75
The solution to the equation is x=- 4.75.
b To solve an equation, we should first gather all of the variable terms on one side of the equation and all constants on the other side by using the Properties of Equality. In this case, we will start by multiplying both sides of the equation by 2 in order to remove the fractions.
1/2x-37= - 84
1/2(2)x-37(2)= - 84(2)
(1)x-37(2)= - 84(2)
x-74=- 168
x= - 94
The solution to the equation is x=- 94.
c To solve an equation, we should first gather all of the variable terms on one side of the equation and all constants on the other side by using the Properties of Equality. In this case, we will start by multiplying both sides of the equation by the lowest common denominator to remove the fractions.
3x/4=6/7
3x/4(28)=6/7(28)
3x/4(4)(7)=6/7(7)(4)
3x(7)=6/7(7)(4)
3x(7)=6(4)
21x=24
7x=8
x=8/7
The solution to the equation is x= 87.
d To solve an equation, we should first gather all of the variable terms on one side of the equation and all constants on the other side by using the Properties of Equality.
9a+15=10a-7
15=a-7
22=a
a=22
The solution to the equation is a=22.