It's How You Interpret It
In the equation for Sandra's necklace profit, P = 7.5n − (2.25n + 15), this number represents how much Sandra charges for each necklace.
What is 7.5?
The equation 3x + 5 = 3x + 5 has this many solutions.
What is infinitely many solutions?
A gym charges a $10 sign-up fee plus $5 per visit. The total cost is $45. This equation models the situation.
What is 5x + 10 = 45?
Adding the same number to both sides of an equation uses this property.
What is the Addition Property of Equality?
In the equation for Sandra's necklace profit, P = 7.5n − (2.25n + 15), this is what the variable n represents.
What is the number of necklaces Sandra sells?
The equation 2x + 1 = 2x + 7 has this many solutions.
What is no solution?
A taxi charges a base fare of $3 plus $2 per mile. The total fare is no more than $25. This inequality represents the situation.
What is 2x + 3 ≤ 25?
Multiplying both sides of an equation by the same number uses this property.
What is the Multiplication Property of Equality?
In the equation for Sandra's necklace profit, P = 7.5n − (2.25n + 15), this is what the term 2.25n represents.
The equation 5x = 20 has this many solutions.
What is one solution?
You have $50 and spend $4 on each snack. After spending, you have $18 left. This equation models the situation.
What is 50 − 4x = 18?
The step from 2(x + 3) to 2x + 6 uses this property.
What is the Distributive Property?
In the equation for Sandra's necklace profit, P = 7.5n − (2.25n + 15), this represents the cost of renting the booth to sell the necklaces.
What is 15?
When solving an equation results in a true statement like 4 = 4, the equation has this type of solution.
What are infinitely many solutions?
A streaming service charges $8 per month plus a one-time $12 fee. The total cost is at least $44. This inequality represents the situation.
What is 8x + 12 ≥ 44?
Rewriting x + 5 as 5 + x uses this property.
What is the Commutative Property of Addition?
In the equation for Sandra's necklace profit, P = 7.5n − (2.25n + 15), this is what the expression (2.25n + 15) represents.
What are the total cost or expenses for selling the necklaces?
When solving an equation results in a false statement like 2 = 9, the equation has this.
What is no solution?
A tutor charges $20 per session, but you receive a $5 discount on the total after paying a $10 registration fee. The total amount you paid is $85. This equation models the situation.
What is 20x + 10 − 5 = 85? or What is 20x + 5 = 85?
The step from (x + 2) + 3 to x + (2 + 3) uses this property.
What is the Associative Property of Addition?