Download SWS Target 3: Look up the properties in your notebook. Use them to

SWS Target 3:
I can use the Property of Real Numbers (commutative, associative and distributive properties, additive and
multiplicative inverses and identities) to write equivalent expressions.
Look up the properties in your notebook.
Use them to answer the following:
Starting with the expression a + (a + 6) + 5(a + 2) each time, write an equivalent
expression that shows you know the:
a. associative property of addition
b. the associative property of multiplication
c. the commutative property of addition
d. the commutative property of multiplication
e. the distributive property
f. what the additive identity does
g. what the multiplicative identity does
SWS Target 1:
I can simplify expressions involving exponents, decimals, and
rational numbers by using the order of operations.
If a = 5, b = 10 and c = -6, find the
following. SHOW WORK … follow the
order of operations
1.
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2.
2ab − 6c + 5
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3.
3 + 5c − 4ab
ab +
4+b
− b2
a+2
€
Work with geometry equations…
1. The formula for finding the surface area of a cylinder is: SA = 2π rh + 2π r 2
Use the formula to find the surface area of a cylinder with a height of 10 and a
radius of 3. SHOW WORK
2. The formula for finding the volume of a cylinder is: V = π r 2 h
Use the formula to find the volume of a cylinder with a height of 10 and a radius
of 3. SHOW WORK!
SWS Target 5:
I can determine if different symbolic expressions are mathematically
equivalent and recognize when an expression is simplified.
Simplify the following.
Remove all parentheses.
1.
4ab + 8 − 6 − ab + 3ab
2.
4x 2 − 5x − 6x 2 + 7x
4.
13y + 2y 2 − 4y 2 + 6y
6.
x 3 − 2x 2 + 4x + 3x 2 − 4x
8.
−
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€
3.
16x − 9y − x + y − 7y
€
€
5.
4x + 5y − x + y − 6x
€
€
7.
6(x − 2) + 2x + x(x + 5)
4(4x − 3y) − 4(x −10)
SWS Target 6:
I can solve linear equations symbolically, including equations
involving parentheses and variables on both sides of the equal sign. Be able to use your graphing
calculator’s graphing or table function to verify the solution.
Solve… SHOW STEPS!
1. 4x + 19 = 26 − 3x
2. 4.5(x +1) + 2(x +1) = 0
3. 4.5x = x − 7
4. 5x + 3 − 6x = 2(x + 4)
€
5. 2x + 3 = 5x − 3x + 3
€
6. 3(x − 5) = 10x + 8
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e. Explain how you could use the GRAPH on your graphing calculator to check your
answer for 4.
f. Explain how you could use the TABLE on your graphing calculator to check your
answer for 4.
SWS Target 2: I can model situations with symbolic statements
Write expressions for the following:
1. 12 more than a number
2. The quotient of a number and 9
3. 4 times a number cubed decreased by 7
4. 15 less than a number squared
5. 3 more than 5 times the number of dogs
6. The product of 5 and y added to 3
7. 4 times the number of cows plus 2 times the number of ducks
8. Explain why you CAN NOT solve 1-7.
Write equations for the following:
9. Fifty-three plus four times c is as much as 21.
10. The sum of five times h and twice g is equal to 23.
11. One fourth the sum of r and ten is identical to r minus 4
12. Three plus the sum of the squares of w and x is 32
13. The area A of a circle is pi times the radius r squared.
14. Can any of the equations in 9 -13 be solved? Explain.