Solve open sentences by performing arithmetic operations.

A Variable Expression is a group of numbers, variables, and operations A Variable Expression is a group of numbers, variables, and operations. (No equal sign) Examples 12m - 42 3x + 2

An Equation is a mathematical sentence that contains an equal sign (=). Examples 2 + 4 = 6 3x + 2 = 11

A sentence that has the symbol ,  , , or  is called an inequality. Examples 3a  43 x + 7  -27

Expression, equation, or inequality? 13x + 14y = 30 Answer Now

Expression, equation, or inequality? -2x - 4 Answer Now

Expression, equation, or inequality? 4b  21 Answer Now

Expression, equation, or inequality? 10a - 22 = -92 Answer Now

Expression, equation, or inequality? -7k  -35 Answer Now

Sometimes you can solve an equation by applying the order of operations. 4 + 5 • 2 = m 8 - 1 2 is the solution. It is a number that replaces the variable (m) and makes the equation true.

The pay (P) at a certain job is calculated by multiplying the base pay (b) by the number of hours worked (h). If an employee works overtime (more than 40 hours in 1 week), the formula is P = 40b + 1.5b(h - 40). If Jamaal had base pay of $12.50/hr. and worked 46 hours, what would be his pay for the week? $525.00 $575.00 $597.00 $612.50 Answer Now

If a side of the square shown has length 20, what is the area of the circle (A=πr2)? 1,257 314 125.6 68.8 Answer Now

A set is a collection of objects or numbers. Each object in the set is called an element. Example Coins = {Penny, Nickel, Dime, Quarter, Half Dollar, Dollar} Coins is the set & Dime is an element of the set of Coins.

Replacement Set: a set of numbers from which a number may be chosen to take the place of the variable (All the numbers may not make the equation/inequality true.) Solution Set: the set of all replacements for the variable that make the equation/inequality TRUE

Given 8 - x < 7, find the solution set if the replacement set is {0, 2, 4, 6, 8}. Replace the variable (x) with each element in the replacement set and solve. 8 - 0 < 7 8 < 7 False 8 - 2 < 7 6 < 7 True 8 - 4 < 7 4 < 7 True 8 - 6 < 7 2 < 7 True 8 - 8 < 7 0 < 7 True The solution set is {2, 4, 6, 8}.

Given 5 = 10 - y, find the solution set if the replacement set is {1, 2, 3, 4}. {1} {1,2} {1,2,3} {1,2,3,4} Null Set Answer Now

Null set is a set with no elements. Given 5 = 10 - y, find the solution set if the replacement set is {1, 2, 3, 4}. 5 = 10 - 1 5 = 9 False 5 = 10 - 2 5 = 8 False 5 = 10 - 3 5 = 7 False 5 = 10 - 4 5 = 6 False None of these are true so the solution set is null set. Null set is a set with no elements.

Bonus Question! What is the area of the shaded region? 10.37 10.75 42.52 127.5 Answer Now

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