B:;:r",*"'*,i::ff;i;" Order of Operations Order of
Operations
1. Simplify the expressions inside grouping symbols. 2. Evaluate all powers. 3. Do all multiplications and divisions from left to right. 4- Do all additions and subtractions from left to right.
Replace each variable with the given value. 3x2 + x(y - 5):3.(B)2 + g(g.b - b)
_/ -+
:3.(9)+3(_4.5)
:27 : 1B.b
13.5
frffiw Find the value of each expression.
1.14+(6+2)
2.Lr-(3+D2
3.2 + (4 - D3 -
4.9(32 + 6)
5. (5 + 2s1z
6.82+f,*rc*z
t' L6+23+4 r -Zz--
8. (7
lo.L2*6+3-2(4) L3.8@2
+ 8 - 32)
IL.
l9.ac
-
bd
22.3(;) -
b
25.a+b+c o Glencoe/McGraw-Hill
3z1z
L4: (8
5z
a 6z 20
-
9.20+22+6
12.6(7)*4+4-5
2)
6+9+3+15
M.E+:+
Evaluate each expression if a
tu.+
-
-
:
8.2, b
:
ID.-
-8, c
:
4,
and. d.
8-2
: -+.
L7.5(6c-8b+LDd)
rs. :'b-d
20. (b
2L.#+6b-5c
-
zs.cd +
c)2
6
+ 4a
$
26.b-c*4-d,
1
24. d(a + c)
27.
=:b+c -
d Glencoe Algebra 2
PERIOD
DATE
NAME
Study Guide and Intervention
ftontinued)
-
Expressions and Formulas FOfmUlaS A formula is a mathematical sentence that uses variables to express the
reiationship between certain quantities. I{v_ou kn-ow the value of every v-ariable except-one i' a formuf., yoo can use subsiitution and ihe order of operations to find the value of the unknown variable. To calculate the number of reams of paper needed to print z copies of a booklet that isp pages long, you can use the formula , : #rwhere r is the number of reams needed. How many reams of paper must you buy to print L72 copies of a 2i'page booklet? Substitute n
:
L72 and
p
:
25 into the formul
u,
: ffi'
(172)(25)
'
500
_
:
43,000 500
8.6
You cannot buy 8.6 reams of paper. You
will need to buy 9 reams to print
1-72 copies.
ryfiflntn For Exercises 1-3, use the following information. For a science experiment, Sarah counts the number of breaths needed for her to blow up a beach ball. She will then frnd the volume of the beach ball in cubic centimeters and divide by the number of breaths to find the average volume of air per breath.
ball has a radius of 9 inches. First she converts the radius to centimeters using the formula C : 2.54I,where C is a length in centimeters and.I is the same length in inches. How many centimeters are there in 9 inches?
L. Her beach
2. The volume of a sphere is given by the formula y : lrrrs,where V is the volume of the sphere and r is its radius. What is the volume of the beach ball in cubic centimeters? (Use 3.14 for rr.) 3. Sarah takes 40 breaths to blow up the beach ball. What is the average volume of air per
breath?
\
4. A person's basal metabolic rate (or BMR) is the number of calories needed to support his ot h"t bodily functions for one day. The BMR of an 80-year-old man is given by the formula BMR : L2w - (0.02)(6)L2w,where zr is the man's weight in pounds. What is the BMR of an 8O-year-old man who weighs 170 pounds?