Purpose of warm up The Wildcat Way Developing a warm up for your program Meet Day warm up.
Warm Up - PBworks
Transcript of Warm Up - PBworks
2-5 Solving for a Variable
Warm Up Solve each equation.
1. 5 + x = –2 2. 8m = 43
3.
4. 0.3s + 0.6 = 1.5
5. 10k – 6 = 9k + 2
2-5 Solving for a Variable
1. Students will use formulas to solve application problems
2-3. Students will solve a formulas and literal equations for a variable
Learning Goals
2-5 Solving for a Variable
A formula is an equation that states a rule for a relationship among quantities.
In the formula d = rt, d is isolated. You can "rearrange" a formula to isolate any variable by using inverse operations. This is called solving for a variable.
2-5 Solving for a Variable
Solving for a Variable Step 1 Locate the variable you are asked to
solve for in the equation. Step 2 Identify the operations on this
variable and the order in which they are applied.
Step 3 Use inverse operations to undo operations and isolate the variable.
2-5 Solving for a Variable
Example 1: Application The formula C = πd gives the circumference of a circle C in terms of diameter d. The circumference of a bowl is 18 inches. What is the bowl's diameter? Leave the symbol π in your answer.
2-5 Solving for a Variable
In 2004, Ernst Van Dyk won the wheelchair race of the Boston Marathon with a time of about 1.3 hours. The race was about 26.2 miles. What was his average speed? Use the formula d = rt and round your answer to the nearest tenth.
2-5 Solving for a Variable
Solve the formula d = rt for t. Find the time in hours that it would take Ernst Van Dyk to travel 26.2 miles if his average speed was 18 miles per hour.
Construction The formula a = 46c gives the floor area a in square meters that can be wired using c circuits.
a. Solve a = 46c for c.
b. If a room is 322 square meters, how many circuits are required to wire this room?
2-5 Solving for a Variable
Construction The formula a = 46c gives the floor area a in square meters that can be wired using c circuits.
a. Solve a = 46c for c.
b. If a room is 322 square meters, how many circuits are required to wire this room?
2-5 Solving for a Variable
Example 2A: Solving Formulas for a Variable
The formula for the area of a triangle is A = bh, where b is the length of the base, and is the height. Solve for h.
2-5 Solving for a Variable
Dividing by a fraction is the same as multiplying by the reciprocal.
Remember!
2-5 Solving for a Variable
Example 2B: Solving Formulas for a Variable The formula for a person’s typing speed is
,where s is speed in words per minute, w is number of words typed, e is number of errors, and m is number of minutes typing. Solve for e.
2-5 Solving for a Variable
Example 2B: Solving Formulas for a Variable The formula for a person’s typing speed is
,where s is speed in words per minute, w is number of words typed, e is number of errors, and m is number of minutes typing. Solve for w.
2-5 Solving for a Variable
The formula for an object’s final velocity is
f = i – gt, where i is the object’s initial velocity, g is acceleration due to gravity, and t is time. Solve for i.
The formula for the volume of a rectangular prism with length l, width w, and height h is V = lwh.
Solve this formula for w.
The formula for a Fahrenheit temperature in terms of degrees Celsius is
Solve for C. F = 95C +32
2-5 Solving for a Variable
The formula for an object’s final velocity is
f = i – gt, where i is the object’s initial velocity, g is acceleration due to gravity, and t is time. Solve for i.
2-5 Solving for a Variable
The formula for the volume of a rectangular prism with length l, width w, and height h is V = lwh.
Solve this formula for w.
2-5 Solving for a Variable
The formula for a Fahrenheit temperature in terms of degrees Celsius is
Solve for C.
F = 95C +32
2-5 Solving for a Variable
A formula is a type of literal equation. A literal equation is an equation with two or more variables. To solve for one of the variables, use inverse operations.
2-5 Solving for a Variable
Example 3: Solving Literal Equations A. Solve x + y = 15 for x. B. Solve pq = x for q.
2-5 Solving for a Variable
a. b.
c. Solve m - n = 5 for m. d. Solve m= x for k k
Solve 5 – b = 2t for t. Solve for V
e. f.
g. Solve f + 4 g
h. Solve b + c = 10 for a. a
Solve st + 3t = 6 for s m - 4n = 8 for m
= 6 for f
2-5 Solving for a Variable
a. b.
c. Solve m - n = 5 for m. d. Solve m= x for k k
Solve 5 – b = 2t for t. Solve for V
2-5 Solving for a Variable
e. f.
g. Solve f + 4 g
h. Solve b + c = 10 for a. a
Solve st + 3t = 6 for s m - 4n = 8 for m
= 6 for f
2-5 Solving for a Variable
Lesson Quiz: Part 1 Solve for the indicated variable.
1.
2.
3. 2x + 7y = 14 for y
4.
P = R – C for C
for m
5. for C
for h