Download Cumulative Review (1-7)

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 Choose 2 problems from the word
problems review & complete.

The function f(x) is graphed below. Another
function, g(x) is defined by the rule g(x)= x+2.
Which of the following is true? Check all that
apply
f(0) = 2
 g(-1) = f(2)
 g(0) < f(0)
 g(0) > f(0)
 g(-2) + f(1) =0
 g(6) – f(2) = 4

Solve and graph the
following:
-2x+3 > 15
x < -6
Solve and graph the
following:
|2x-5| + 6 > 15
x < -2 OR x>7
Solve and graph the
following:
-3|4x|> 33
No solution
Solve and graph the
following:
15 ≤ 2𝑥 − 5 < 23
10 ≤ x<14
 Solve
for a:
𝑥 + 𝑏 = 2𝑎𝑐
𝒙+𝒃
𝒂=
𝟐𝒄
 Solve
for w:
2
1
=
𝑥−4 𝑤+𝑐
−𝟐𝒄 + 𝒙 − 𝟒
𝒘=
𝟐
 Solve
for x:
𝑎(𝑥 + 1) = 3𝑤𝑦𝑧
x=
𝟑𝒘𝒚𝒛
𝒂
−𝟏
What is the slope of the line
2x – 3y = 7
𝟐
𝟑
What is the slope of each of
the following lines?
Y = 10
b) X = -4
a)
A) zero
B) undefined
Graphically speaking, a
function must pass the
_______________
____________
Test.

Vertical Line Test
In relating the miles driven in
a rental car to the total
cost of the rental, which is
the dependent variable?
Which is the independent
variable?
Independent: x = # of miles
 Dependent: y = total cost of rental

a)
b)
c)
d)
(-3, 5)
(1, 6)
(2, -6)
(5, 0)
x
-3
2
5
y
2
6
3
If y = 2x + 1 find the
corresponding range
values for the domain
D: {-3, 0, 1, 5)
{-5, 1, 3, 11}

𝑨&𝑪
Draw the following relation
as a mapping diagram:
{(0,1), (2,-3), (3, 4), (2, 2)}
Is this relation a function?

No, each domain value is not paired
with one range value. (“Domain
repeats”)
A)
B)
C)
an equation with one solution
an equation with no solution
an equation with infinitely many
solutions
𝑬𝑿:
𝑨) 𝟓𝒙 = 𝟏𝟎
𝑩) 𝒙 + 𝟏 = 𝒙 + 𝟓
𝑪) 𝒙 + 𝟏 = 𝒙 + 𝟏
What is the slope between
(2,3) and (-1,4)?
1
m = −3
What is the equation of the
linear function (in y=mx+b
form) of the line that
passes through the point
(6,3) and is parallel to the
line 2x – 4y=8?
1
𝑦= 𝑥
2
What is the relationship
between the slopes and
y-intercepts of parallel lines?
𝑆𝑎𝑚𝑒 𝑠𝑙𝑜𝑝𝑒 & 𝑑𝑖𝑓𝑓𝑒𝑟𝑒𝑛𝑡 𝑦 − 𝑖𝑛𝑡𝑒𝑟𝑐𝑒𝑝𝑡𝑠
What is the relationship
between the slopes and
y-intercepts of
perpendicular lines?
𝑜𝑝𝑝𝑜𝑠𝑖𝑡𝑒 𝑟𝑒𝑐𝑖𝑝𝑟𝑜𝑐𝑎𝑙 𝑠𝑙𝑜𝑝𝑒, 𝑛𝑜 𝑟𝑒𝑠𝑡𝑟𝑖𝑐𝑡𝑖𝑜𝑛 𝑜𝑛 𝑡ℎ𝑒 𝑦 − 𝑖𝑛𝑡𝑒𝑟𝑐𝑒𝑝𝑡𝑠
The slope Line A is 0, what is
the slope of the line
perpendicular to Line A?
𝑢𝑛𝑑𝑒𝑓𝑖𝑛𝑒𝑑
Are the following lines
parallel, perpendicular, or
neither?
2x – 4y = 8
3x + 8y = 16
𝑛𝑒𝑖𝑡ℎ𝑒𝑟
Are the following lines
parallel, perpendicular, or
neither?
3x – 6y = 10
2x – 4y = 30
𝑝𝑎𝑟𝑎𝑙𝑙𝑒𝑙
𝑦>𝑥−2
3
𝑦 > 𝑥+3
2
3
𝑦 < 𝑥−2
2
1
𝑦 ≤ 𝑥−1
2
𝑦 > 2𝑥 − 4
Bob starts out in his car traveling 30 mph.
Four hours later, Fenster starts out from the
same point at 60 mph to overtake Bob. In
how many hours will Fenster catch him?
Fenster will catch him in 8 hours.