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Math
Algebra
**7th Grade Math Unit 3 Equations and Properties of Math
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Terms in this set (9)
Addition Property of Equality
Adding the same number to each side of an equation
Distributive Property
Process of multiplying a number or variable to all terms within the parentheses
Division Property of Equality
Dividing the same number to each side of the equation
Equation
Mathematical sentence that contains an equal sign
Equivalent
Two or more mathematical expressions that are equal
Linear equation
Equation whose graph is a line
Multiplication Property of Equality
Multiplying a number from both sides of an equation
Subtraction Property of Equality
Subtracting the same number from each side of an equation
Like terms
Terms that have the same variable parts
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Verified questions
ALGEBRA
Sam is ordering pizza. Tony's Pizza charges $7 for a large cheese pizza plus$.75 for each additional topping. Maria's Pizza charges $8 for a large cheese pizza plus$.50 for each additional topping. For what number of toppings will the cost of a large pizza be the same at either restaurant?
PRECALCULUS
In physics it is shown that the height s of a ball thrown straight up with an initial speed of 96 ft/sec from ground level is $s=s(t)=-16 t^{2}+96 t$ where t is the elapsed time that the ball is in the air. What is the instantaneous speed of the ball at t = 2?
ALGEBRA2
You are investigating two employment opportunities. Company A offers $30,000 the first year. During the next four years, the salary is guaranteed to increase by 6% per year. Company B offers$32,000 the first year, with guaranteed annual increases of 3% per year after that. Which company offers the better total salary for a five-year contract? By how much? Round to the nearest dollar.
INTEGRATED MATH
Two campgrounds rent a campsite for one night according to the following table. $$ \begin{matrix} \text{Number of campers} & \text{Sunnyside Campground} & \text{Green Mountain Campground}\\ \text{1} & \text{\$58} & \text{\$40}\\ \text{2} & \text{\$66} & \text{\$50}\\\text{3} & \text{\$74} & \text{\$60}\\ \text{4} & \text{\$82} & \text{\$70}\\ \end{matrix} $$ Solve the system of the equations you found in previous two problems. For how many campers do the campgrounds charge the same rate? What is the rate charged for that number of campers?