Core Connections: Course 1
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3. Section 8.3
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Exercise 90 Page 411

Practice makes perfect
To solve an equation, we should first gather all of the variable terms on one side and all of the constant terms on the other side using the Properties of Equality. In this case, the variable term is already on the left-hand side of the equation, so we will start by using the Division Property of Equality to divide both sides of the equation by 5.

5f=15
5f/5=15/5
5/5* f=15/5
1* f=15/5
f=15/5
f=3

The solution to the equation is f=3.

To solve an equation, we should first gather all of the variable terms on one side and all of the constant terms on the other side using the Properties of Equality. In this case, the variable term is already on the left-hand side of the equation, so we will start by using the Multiplication Property of Equality to multiply both sides of the equation by 43, the reciprocal of 34.

3/4w=6
3/4w* 4/3=6* 4/3
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Simplify left-hand side
3/4* 4/3w=6* 4/3
1w=6* 4/3
w=6* 4/3
w=6* 4/3
w=24/3
w=8

The solution to the equation is w=8.

To solve an equation, we should first gather all of the variable terms on one side and all of the constant terms on the other side using the Properties of Equality. In this case, the variable term is already on the left-hand side of the equation, so we will start by using the Division Property of Equality to divide both sides of the equation by 1.6.

1.6y=9
1.6y/1.6=9/1.6
1.6/1.6* y=9/1.6
1* y=9/1.6
y=9/1.6
y=5.625

The solution to the equation is y=5.625.

To solve an equation, we should first gather all of the variable terms on one side and all of the constant terms on the other side using the Properties of Equality. In this case, the variable term is already on the left-hand side of the equation, so we will start by using the Multiplication Property of Equality to multiply both sides of the equation by 3.

p/3=81
p/3* 3=81* 3
p=81* 3
p=243

The solution to the equation is p=243.