Download 2.6 Solving for Variables ink.notebook

2.6 Solving for Variables ink.notebook
October 11, 2016
page 96
page 97
2.6 Solving for
Variables
(Literal Equations)
Lesson Objectives
Standards
page 98
2.6 Solving for Variables
Press the tabs to view details.
1
2.6 Solving for Variables ink.notebook
October 11, 2016
Lesson Notes
Standards
Lesson Objectives
Standards
Lesson Notes
A.CED.4 I will solve equations and formulas for the indicated variable A.REI.3 I will use formulas to solve word problems A.CED.4 Rearrange formulas to highlight a quantity of interest, using the same reasoning as in solving equations. For example, rearrange Ohm’s law V = IR to highlight resistance R.
Press the tabs to view details.
Press the tabs to view details.
Characteristics:
My Definition:
Formula or equation that
involves several variables
Example:
d = rt
solve for r
d = rt
t
t
d
r=
t
Will ask you to
"rearrange" to "solve" for
an indicated variable
Literal
Equation
Counterexample:
2x + 3 = 5
only 1 variable
recall: Solve for x.
x + 7 = -12
1. Solve for a.
a + b = c
recall: Solve for y.
y - 9 = 34
2. Solve for d.
d - e = f
2
2.6 Solving for Variables ink.notebook
October 11, 2016
recall: Solve for x.
-6x = -30
3. Solve for r.
C = 2¹r
recall: Solve for y.
y = 8
-4
4. Solve for m.
m
d =
v
Solve each equation for the given variable.
5. Solve for y.
3y = 12x - 6
6. Solve for y.
6x + y = 10
3
2.6 Solving for Variables ink.notebook
October 11, 2016
Solve each equation for the given variable.
7. Solve for r.
r
s =
t - 2
8. Solve for b.
C =
3
y + b
4
Some equations contain more than one variable. Solve each equation for the given variable.
9. ax – y = az + w for w
10.
4
2.6 Solving for Variables ink.notebook
October 11, 2016
Some equations contain more than one variable. Solve each equation for the given variable.
11. V = ¹r2h for h
12. p(t + 1) = –2 for p Some equations contain more than one variable. Solve each equation for the given variable.
13. V = r + at for a
14.
5
2.6 Solving for Variables ink.notebook
October 11, 2016
On Your
Whiteboards
Some equations contain more than one variable. Solve each equation for the given variable.
a) 3x + y = 7 for y
b) x + y = 13 for y
Some equations contain more than one variable. Solve each equation for the given variable.
c) –3x + b = 6x for b
d) p = a(b + c) for a
6
2.6 Solving for Variables ink.notebook
On the
Worksheet
1. mv + t = 2w + 5 for t
"pretty"
tWritten
= 2w ‐ mv
+5
2.
hb
2
Written =
"pretty"
A
October 11, 2016
Homework
3. 5g + h = g for h
Written
h = ‐4g"pretty"
4. 8t ­ r = 12t for r
Written
"pretty"
r = ‐4t
7
2.6 Solving for Variables ink.notebook
5. y = mx + b for m
6. –5a + y = –54 for y
Written
y = 5a ‐"pretty"
54
y ‐ mx"pretty"
=b
Written
9. –5x + y = 12 for y
10.
October 11, 2016
7. 3y + n = am – 4y for n
8. km + 5x = 6y for y
Written
n = am"pretty"
‐ 7y
5m + 5x"pretty"
Written
11. 9a + b = c + 4a for b
6
=y
12.
8
2.6 Solving for Variables ink.notebook
13. 3y = 12x – 6 for y
17. –2x + y = 7 for y
October 11, 2016
15. 3y = 6x – 12 for y
14. 5y = 10x + 25 for y
18. 7x + y = 10 for y
16. 3y = 9x ­ 24 for y
Find the final price of each item. 31.
19.
9
2.6 Solving for Variables ink.notebook
Find the final price of each item. October 11, 2016
Tell whether the equation has no solution or an all reals solution.
21. 3(x – 7) = 15 + 3x
22. 3y – 3(y + 3) = 3
32.
20.
23. 2(n – 3) = 2n – 6
Solve each equation by showing all work.
46.
24.
10
2.6 Solving for Variables ink.notebook
Solve each equation by showing all work.
October 11, 2016
Answers:
47.
25.
11