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Expressions and
Equations
Review
Answers are to be written
neatly on the communicator!
No doodling!
Simplify
2 ( 4  6 )  10
2
190
Simplify
( 7  5 )  12  3
3
12
Solve
k
 7  19
6
k = 72
Simplify
7(t – 4)
7t – 28
Simplify
(3n – 7) 6
18n – 42
Solve the Equation by
Using the Distributive
Property
3(5 x  3)  81
x=6
Solve the following equation
using the distributive
property.
(6 + r)5 = 55
(6 + r)5 = 55
30 + 5r = 55
-30
-30
5r = 25
5
5
r=5
The formula for area of a
triangle is
1
A  bh
2
If A = 12 m² and b = 6 m, what is
the height of the triangle?
h= 4 m
Evaluate the following
expression for
m = 5, n = 3 and p = 6
n + 2p
2
60 – mn
m = 5, n = 3 and p = 6
3 + 2(6)
60 – (5)(3)2
15
60 - 45
15
15
3 + 12
60 – 5(9)
1
Write the equation and
solve
The product of six and a
number, increased by
17 is 65.
6n + 17 = 65
n=8
Write the expression
Manuel has q quarters and p
pennies. Write an expression to
find the total amount of
money he has.
.25q + .01p
Evaluate the following
expression for
a = 5, b = 3 and c = 6
5a + 2
2
3c - b
a = 5, b = 3 and c = 6
5a + 2
3c - b2
5 (5) + 2
3 (6) – (3) 2
25 + 2 =
18 – 9
27
9
3
Simplify
[(1 ·
2
4
- 10) ·
2
4
+
2
3
]÷5
[(1 ·
- 10) ·
+ ]÷5
[(1 · 16 - 10) · 42 + 32 ] ÷ 5
[(16 - 10) · 42 + 32 ] ÷ 5
[6 · 42 + 32 ] ÷ 5
[6 · 16 + 9] ÷ 5
[96 + 9] ÷ 5
105 ÷ 5
2
4
2
4
2
3
21
be careful
with zero
0
3
0
6
7
1
1
0
1
(5)
__
8
1
0
0
UNDEFINED
14  0
UNDEFINED
Name the two
consecutive whole
numbers that the
answer is between.
203
14 and 15
Find the area of a trapezoid with a
height of 4 in. and one base of 8 in.
and the other base of 6 in.
A = ½ h (b1 + b2)
A = ½ h (b1 + b2)
A = ½ (4) (8 + 6)
A = ½ (4) (14)
A = (2) (14)
A = 28
2
in
** Remember area is measured in
square units.
Periods 8&9
Find the height of a trapezoid with
an area of 28 in2, one base of 8 in.
and the other base of 6 in.
A = ½ h (b1 + b2)
A = ½ h (b1 + b2)
28 = ½ h (8 + 6)
28 = ½ h (14)
28 = 7 h
7
7
h = 4 in.
Which is the Square Root,
9 or 3?
9 3
Square Root
(9 is the perfect square)
Properties
• Name the property that is represented by the
following:
(a + b)5 = 5a + 5b
Distributive!
Properties
• Name the property that is represented by the
following:
(a + b)+5 = 5 + (a + b)
Commutative Property of
Addition
(a + b) + 5 = 5 + (a + b)
Properties
• Name the property that is represented by the
following:
(a + b) + 0 = (a + b)
Identity Property of
Addition
Are you ready?