Polkadot JAM Slides - Token2049 - By Dr. Gavin Wood
Open sentences
1. Objective
The student will be able to:
solve open sentences by performing
arithmetic operations.
SOL: A.1
Designed by Skip Tyler, Varina High School and Nicole Kessinger, Deep Run High School
2. 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
1. Expression
2. Equation
3. Inequality
Answer Now
8. Expression, equation, or inequality?
10a - 22 = -92
1. Expression
2. Equation
3. Inequality
Answer Now
9. Expression, equation, or inequality?
-7k < -35
1. Expression
2. Equation
3. Inequality
Answer Now
10. Sometimes you can solve an equation
by applying the order of operations.
4 + 5 • 2 = m
8 - 1
2 = m
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?
Answer Now
1. $525.00
2. $575.00
3. $597.00
4. $612.50
12. If a side of the square shown
has length 20, what is the area
of the circle (A=πr2
)?
Answer Now
1. 1,257
2. 314
3. 125.6
4. 68.8
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 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}.
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. {1,2,3,4}
5. Null Set
Answer Now
17. 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.
18. Bonus Question!
What is the area of the
shaded region?
Answer Now
1. 10.37
2. 10.75
3. 42.52
4. 127.5
