PRACTICE
Simplify each expression.
(1) 6(2)
________
(9) 𝑥 𝑥
PRACTICE
________
(15)
(21)
(4) (2 )(2 ) _____
_____
(5)
_____
𝑥
________
)
(
________
)
PRACTICE
a)
(8) (𝑥 )
(10)
________
(11) 𝑥 𝑥
(13) 𝑥
𝑦 𝑧
________
________
________
(22)
(14) 𝑥𝑦
________
________
(19)
(17)
)
________
________
(20)
________
(
𝑧
________
________
(
(23)
(
)
)
________
(24) All but one of the following simplifications has a mistake. Circle the letter of the correct
simplification. Then circle the mistake in each incorrect simplification, and correct it.
SIMPLIFICATION A
PRACTICE
________
(16)
________
(
(7) 𝑥
Use the rules generated in #6—11 to simplify each expression.
(12) 𝑥 𝑥
(18)
(3) (2 )
_____
Use the patterns you observed in #1—5 to generalize a rule for simplifying each expression.
PRACTICE
(6) 𝑥
(2) 4
_____
SIMPLIFICATION B
SIMPLIFICATION C
SIMPLIFICATION D
= (𝑥 )
= (𝑥 )
= (𝑥 )
=
=𝑥
=𝑥
=𝑥
=𝑥
=
=
=
(25) Select all of the expressions that are equivalent to
b)
c)
d)
.
(
)(
)
e)
(
)
(26) Which expression is not equivalent to the series 3 + 7 + 11 + 15 + 19 ?
REVIEW
a)
(4𝑛 − 1)
b)
(4𝑛 + 3)
c)
(4𝑛 − 13)
d)
(4𝑛 − 5)
Several bank accounts and investment options are listed below. If each investment period
is 10 years, indicate which quantity is larger. Underline your choice.
REVIEW
(27)
$1,600 initial deposit; 5% annual interest
OR
$2,500 initial deposit; 1% annual interest
(28)
$300 initial deposit; 12% annual interest
OR
$600 initial deposit; 6% annual interest
(29)
$16,000 initial deposit; no interest
OR
$5,000 initial deposit; 9% annual interest
REVIEW
Mr. Hubblebubble sent his granddaughter $20 the day she was born. Every birthday
afterwards, he plans on sending her 5% more than he did the previous year.
(30) Find the multiplier in this scenario. ________
(31) Write an equation for this scenario. ___________________
(32) How much money will his granddaughter receive on her 16th birthday? __________
(33) By the time his she turns 21, how much money will she have received in total? __________
(34) Consider the system:
REVIEW
6𝑥 + 3𝑦 = 12
𝑦 = 𝑘𝑥 + 5
Select the value(s) of k for which the
system has no solution.
—2
(35) Consider the system:
REVIEW
6𝑥 + 3𝑦 = 12
𝑦 = −2𝑥 + 𝑘
(36) Consider the system:
8𝑥 + 𝑘𝑦 = 14
𝑦 = 4𝑥 − 7
0
1
2
Select the value(s) of k for which the
system has infinitely many solutions.
1
REVIEW
—1
2
3
4
5
Select the value(s) of k for which the
system has infinitely many solutions.
—2
—1
0
1
2
(37) Circle all of the points included in the solution set to the equation 𝑦 > |𝑥 + 2| − 3.
REVIEW
a) (—2,—3)
CHALLENGE
b) (0,4)
c) (6,1)
d) (—4,1)
e) (—1,0)
(38) In a different stack of bricks, each layer contains
one more brick than the layer above. The top layer consists of a single
brick. If there are 105 bricks in the stack, how many layers are there? _______
f) (8,—6)