Inverse Relationships
Do addition and subtraction have an inverse relationship?
Yes
Solve this equation:
2.5(3.75 + x) = 12
x = 1.05
Write an equation that represents the cost of each accessory:
Jordan bought a tablet for $210.50 and then purchased two accessories that cost the same amount. The total cost was $298.90.
210.50 + 2x = 298.90
Do addition and multiplication have an inverse relationship?
No.
The inverse of addition is subtraction, and the inverse of multiplication is division.
Solve this equation:
0.5(4x + 48) = 20
x = -2
Write and solve an equation that represents this:
Four friends go to a skating rink and pay $9 per entry ticket. They also each buy a drink. Altogether, they spend $58. How much does each drink cost?
4(9 + x) = 58
x = $5.50
What is the inverse of division?
Multiplication
Maya paid $165.75 for a pair of shoes and bought two identical shirts. Altogether, she spent $245.25.
How much does one shirt cost?
$39.75
Lina picks 12 pounds of apples. She sets aside 3.5 pounds to make pie. Each batch of applesauce needs 2 1/4 pounds of apples.
Write an equation to represent this situation.
2.25x + 3.5 = 12