1. Solve open sentences by performing arithmetic operations.

2. 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

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

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

5. Expression, equation, or inequality? 13x + 14y = 30
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6. Expression, equation, or inequality? -2x - 4
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7. Expression, equation, or inequality? 4b  21
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8. Expression, equation, or inequality? 10a - 22 = -92
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9. Expression, equation, or inequality? -7k  -35
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10. 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.

11. 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
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12. 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
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13. 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.

14. 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

15. 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 False
8 - 2 < < 7 True
8 - 4 < < 7 True
8 - 6 < < 7 True
8 - 8 < < 7 True
The solution set is {2, 4, 6, 8}.

16. 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
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17. 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 = = 9 False
5 = = 8 False
5 = = 7 False
5 = = 6 False
None of these are true so the solution set is null set.
Null set is a set with no elements.

18. Bonus Question! What is the area of the shaded region?
10.37
10.75
42.52
127.5
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19. Thanks for Coming!