PRACTICE
(1) Recap the necessary rules of exponents needed to simplify each type of expression
below. Use words, examples, arrows, color-coding, or any other helpful tools.
A
(XA)B
B
(X)A/B
X—A
PRACTICE
√X
(2) For each problem, roll the designated colored cubes. Then use the expression displayed
on each cube to perform each operation.
(BLUE)PINK
(PINK)YELLOW
(ORANGE)PINK+PINK
(REDYELLOW)BLUE
(GREEN)BLUE
(ORANGE)YELLOW
(ORANGE)BLUE
(PINK1 + PINK2)(BLUE+YELLOW)
(GREEN1) · (GREEN2)
((GREEN)YELLOW)BLUE
(RED)YELLOW · (ORANGE)BLUE · (RED)BLUE
(ORANGE)YELLOW
(RED)YELLOW
(GREEN)PINK
Identify the error in each simplification below. Then correct the mistake.
REVIEW
(3)
(
=
(4) 4
)
=8
(5) (
2 x+7
-6 2
(2 ) = (24)x
2x+14 = 4x
14 = 2x
7=x
-6 2
8a b
= a3 b-3
8a3b-3
ab
2 3
5
= b3 b6 = b9
aa
a
-3 2
-2x-3y2
6x
y
=
= -2 2
x y
-3x-2y2
2
2 2
= -2x3 y2 = -2x3 = -2
Xy
X
X
CORRECTION:
CORRECTION:
(4) Which number at right is a
valid solution to the equation 16 = 64
CORRECTION:
REVIEW
a) 4/3
c) 12/5
?
(5) Which expression below is equivalent to
REVIEW
a 11
4b17 c 2
a)
b)
2a
b7c2
c)
b) 3/8
d) 4/5
?
1
7 6
b c
REVIEW
(6) Which expression at right is equivalent to
REVIEW
Factor each expression.
(7) 5𝑥 − 𝑥 − 18
)
√64 ?
d)
a5
2b17 c 2
a) 8
c) 16
(8) 100𝑥 − 60𝑥 + 9
(9) 10𝑥 + 89𝑥 − 9
REVIEW
(10) State four values of b that make the expression 𝑥 − 3𝑥 + 𝑏 factorable.
REVIEW
Solve each equation.
(11)
REVIEW
𝑥 −
𝑥=0
(14) Is 𝑖
CHALLENGE
(13) 10𝑥 + 𝑥 + 4 = 0
(12) −2√2𝑥 − 7 + 7 = 1
a real or an imaginary number?
(15) Factor the expression 𝑥 + 2𝑥𝑦 + 𝑦 − 81.
b) 4
d) 32
PROVE IT: