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Simplify 6x – 9x + 8.
–3x + 8
Simplify –4x – 3y + 2 – 9x – 5.
–13x – 3y – 3
Simplify
2x + 6z – 14 + 3z – 8 + 6x.
8x + 9z – 22
Solve
6x + 2 – 4x = –6.
x = –4
Solve
9y + 7 – 8y – 17 = 14.
y = 24
Solve
4z – (9z + 7) = –22.
z=3
Solve
8x + 2(3x – 12) = –122.
x = –7
Solve
–6 – 4(a + 9) = –26.
a = –4
Solve
5(3x + 7) – 7(2x – 8) = 105.
x = 14
What would you do to both
sides of the equation to get
the variable only on the left?
x + 8 = 4x – 7
subtract 4x
What would you do to both
sides of the equation to get
the variable only on the left?
9z – 14 = –6z – 12
add 6z
Solve 4x + 7 = 12x + 9.
1
x=–
4
Solve –8y – 11 = y + 7.
y = –2
Solve 6(z + 9) + 4z = 8 – (z + 2).
48
z=–
11
Solve 4(x – 7) = 2(3x + 6).
x = –20
Solve –6a – 12 = 8(a – 9).
30
a=
7
Solve
2
5
x
+
5
=
x
+
12.
3
3
x = –7
Solve 8.9y + 2.65 = 3.8(2y – 7).
y = –22.5
Solve –4.7m – 9(8.2m – 6.1) =
9.7m – (1.9m + 6).
m ≈ 0.7
Solve 6n – 4(3n + 9) = 5n – 12.
24
n=–
11
Write an equation. Six more
than eight times a number is
21.
8x + 6 = 21
Write an equation. Four times
the sum of a number and 9 is
16.
4(n + 9) = 16
Write an equation. The
product of seven and the
difference of three times a
number and eight is –9.
7(3n – 8) = –9
Write an equation. The sum of
half of a number and six is
18.
0.5n + 6 = 18
Write an equation and solve.
Six times the difference of a
number and three is –42.
n = –4
Write an equation and solve.
One-tenth of a number,
decreased by four, is eight.
n = 120
Write an equation and solve.
Nine less than 14 times a
number is equal to the sum of
the number and 17.
n=2
Write an equation and solve.
The product of a number and
23 is equal to 11 less than the
number.
n = –0.5
The sum of two consecutive
numbers is –37. Find the
numbers.
–19 and –18
Find two consecutive even
numbers such that three
times the smaller is 30 more
than the larger.
16 and 18
The sum of Sasha’s and
Natalya’s ages is 31. Twice
Natalya’s age is eleven years
more than Sasha’s age. Find
each of their ages.
Natalya is 14 and
Sasha is 17.
Solve
3
x
≤
–9.
5
x ≤ –15
Solve –6m + 9 < 18.
3
m > – 2 or –1.5
Solve 7x – 12 > 25.
37
x > 7 or 5.3
Solve 4(y + 2) – 16 ≤ –3(6y – 8).
16
y ≤ 11
Solve 3x + 7 > 28.
x>7
Solve –6n < 3 + 4n + 27.
n > –3
Solve
6a + 4(3a – 7) ≤ a – (2a – 5).
33
a ≤ 19
Solve 6.5n + 3(4.8n – 2) < 4n –
(2.8n – 7.3).
n < 0.7
Solve
4
2
3
– y–
(y – 9) ≥
(y + 15).
5
3
5
45
y ≤ – 31
Write an inequality. The sum
of a number and 19 is greater
than –7.
n + 19 > –7
Write an inequality. Twice the
difference of a number and 12
is at least 38.
2(n – 12) ≥ 38
Write an inequality. The
quotient of a number and 6 is
not greater than 21.
n
≤
21
6
Write an inequality. Mrs.
Svinski needs to buy as many
calculators as possible for
her math class. She has $50
to spend, and each calculator
costs $6.75. If sales tax is 6%,
how many calculators can
she buy?
1.06(6.75x) ≤ 50
Cashews cost $6.75/lb., and
Jeanna can spend at most
$30 for them. How many
pounds can she buy?
x ≤ 4.44 lb.
What range
Benjamin
wants
of scores
an average
on the
of attest
last
least
will
92%
guarantee
in his science
that
class.
he
getsThe
thetests
average
in the
that
class
he
are eachinworth
desires
this class?
100 points,
and the sum of his scores on
the first three tests is 273.
x ≥ 95%
Mr. Ashburn is a car
salesman. He earns a $250
commission for each car that
he sells and a guaranteed
monthly salary of $1,000. If he
needs to earn at least $4,500
to pay his bills each month,
how many cars must he sell
each month? x ≥ 14 cars
The bill at the craft store for
six picture frames and six
pieces of matting is more
than the $100 that Ginny has
in her purse for this
purchase. If the picture
frames cost $12.45 each, how
much does each piece of
matting cost? x > $4.22
Find the three smallest
consecutive odd integers
whose sum is more than 100.
33, 35, and 37
State the mathematical
significance of Ezekiel 43:2,
4a.