Algebra 2
Chapter 1.1
Expressions & Formulas
Target Goals:
1. Use the order of operations to evaluate
expressions
2. Use formulas
BINGO ANSWERS
-70
-9
0.25
22
67
206
-53
-5
1
22.8
141
4860
-40
-1
2.6
28
144
4x2 – 12x
-27
-0.04
12
45
152
1,180,191.64
ORDER OF OPERATIONS
Ex 1) Evaluate (x – y)3 if x = 1 and y = 4.
ANSWER: -27
Ex 2) Evaluate n – t(n2 – t) if n = 2 and t = 3.4.
ANSWER: -0.04
Ex 3) Evaluate 5c – 2[(b – a)+ c] if
a = -2, b = 3 and c = 4.2.
ANSWER: 2.6
Ex 4) Evaluate the expression if x = 5, y = -2, and
z = -1.
8 xy  z
2
y 5
3
ANSWER: -9
Ex 5) The formula for the
volume of a cone can be
used to approximate
the volume of a
tornado. Find the
approximate volume of
a tornado with a top
radius of 70 meters and
a height of 230 meters.
1 2
V  r h
3
ANSWER: 1,180,191.64 m3
Ex 6) The formula for the area of a triangle with height
h and base b is:
1
A  bh
2
Write an expression to represent the area of a
triangle that has a height of 4x and a base of 2x – 6.
ANSWER: 4x2 – 12x
Ex 7) The formula for the area of a trapezoid with
height h and parallel bases b1 and b2 is:
1
A  h  b1  b2 
2
Find the area of a trapezoid with base lengths of 13
meters and 25 meters and a height of 8 meters.
ANSWER: 152 m2
5( F  32)
Ex 8) The formula C 
can be used to
9
convert temperatures in degrees Fahrenheit to
degrees Celsius. If the temperature in the room is
73°F, what is the room temperature in Celsius?
ANSWER: 22.8°C
ab
Ex 9) Evaluate
if a = -4, b = -0.8, c = 5, and d = 1/5.
cd
ANSWER: -1
Ex 10) The formula for the volume of a rectangular
prism is V = lwh, where l represents the length, w
represents the width, and h represents the height.
Find the volume of a rectangular prism with a length
of 4 feet, a width of 2 feet, and a height of 3.5 feet.
ANSWER: 28 ft3
b6
Ex 11) Evaluate
if a = -4, b = -0.8, c = 5, and
4(d  c)
d = 1/5.
ANSWER: 0.25
9
Ex 12) The formula F  C  32 gives the temperature in
5
degrees Fahrenheit for a given temperature in degrees
Celsius. What is the temperature in degrees
Fahrenheit when the temperature is -40 degree
Celsius?
ANSWER: -40 °F
1
6  42 
Ex 13) Evaluate:
2
ANSWER: -5
Ex 14) The formula h  120t  16t 2 gives the height h in
feet of an object t seconds after it is shot upward from
Earth’s surface with an initial velocity of 120 feet per
second. What will the height of the object be after 6
seconds?
ANSWER: 144 ft
Ex 15) Evaluate:
(8)
2
 (1)  4(9)
59
2
ANSWER: -53
Ex 16) Faith owns an organic apple orchard. From her
experience the last few seasons, she has developed
the formula P  20 x  0.01x 2  240 to predict her
profit P in dollars this season if her trees produce x
bushels of apples. What is Faith’s predicted profit this
season if her orchard produces 300 bushels of apples?
ANSWER: $4860
Ex 17) Evaluate:
 4  5  3  2  4  8    16
ANSWER: 1
Ex 18) Evaluate 2ab 2   d 3  c  if a = ¾ , b = -8, c = -2,
and d = 3.
ANSWER: 67
1
Ex 19) Evaluate 9bc  if a = ¾ , b = -8, c = -2, d = 3,
g
and g = 1/3.
ANSWER: 141
d (b  c)
Ex 20) Evaluate
if a = ¾ , b = -8, c = -2, d = 3,
ac
and g = 1/3.
ANSWER: 12
ac 4 c
Ex 21) Evaluate
 2 if a = ¾ , b = -8, c = -2, d = 3,
g
and g = 1/3. d
ANSWER: 22
2

Ex 22) Evaluate b a   c  d   if a = ¾ , b = -8, c = -2,


d = 3, and g = 1/3.
ANSWER: 206
Ex 23) Evaluate ac3  b 2 dg if a = ¾ , b = -8, c = -2, d = 3,
and g = 1/3.
ANSWER: -70
Ex 24) Evaluate ab  d if a = ¾ , b = -8, c = -2, d = 3,
and g = 1/3.
2
ANSWER: 45
Target Goals
1. Use the order of operations to evaluate
expressions
– (ex 1, 2, & 3)
2. Use formulas
– (ex 4)