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August 2015 Algebra I Common Core Regents pt 3 11 to 15 NYS New York State

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Published on Nov 7, 2015

1 Given the graph of the line represented by the equation computations.
f(x) 2x b, if b is increased by 4 units, the graph of the new
line would be shifted 4 units
(1) right (3) left
(2) up (4) down
2 Rowan has $50 in a savings jar and is putting in $5 every week. Jonah
has $10 in his own jar and is putting in $15 every week. Each of them
plots his progress on a graph with time on the horizontal axis and
amount in the jar on the vertical axis. Which statement about their
graphs is true?
(1) Rowan’s graph has a steeper slope than Jonah’s.
(2) Rowan’s graph always lies above Jonah’s.
(3) Jonah’s graph has a steeper slope than Rowan’s.
(4) Jonah’s graph always lies above Rowan’s.
3 To watch a varsity basketball game, spectators must buy a ticket at
the door. The cost of an adult ticket is $3.00 and the cost of a
student ticket is $1.50. If the number of adult tickets sold is
represented by a and student tickets sold by s, which expression
represents the amount of money collected at the door from the
ticket sales?
(1) 4.50as (3) (3.00a)(1.50s)
(2) 4.50(a s) (4) 3.00a 1.50s
Algebra I (Common Core) – Aug. ’15 [3] [OVER]
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4 The graph of f(x) is shown below. computations.
Which function could represent the graph of f(x)?
(1) f(x) (x 2)(x2 3x 4)
(2) f(x) (x 2)(x2 3x 4)
(3) f(x) (x 2)(x2 3x 4)
(4) f(x) (x 2)(x2 3x 4)
5 The cost of a pack of chewing gum in a vending machine is $0.75.
The cost of a bottle of juice in the same machine is $1.25. Julia has
$22.00 to spend on chewing gum and bottles of juice for her team and
she must buy seven packs of chewing gum. If b represents the number
of bottles of juice, which inequality represents the maximum number
of bottles she can buy?
(1) 0.75b 1.25(7) ≥ 22 (3) 0.75(7) 1.25b ≥ 22
(2) 0.75b 1.25(7) ≤ 22 (4) 0.75(7) 1.25b ≤ 22
y
x
Algebra I (Common Core) – Aug. ’15 [4]
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6 Which graph represents the solution of y ≤ x 3 and y ≥ 2x 2? computations.
7 The country of Benin in West Africa has a population of 9.05 million
people. The population is growing at a rate of 3.1% each year.
Which function can be used to find the population 7 years from now?
(1) f(t) (9.05 106)(1 0.31)7
(2) f(t) (9.05 106)(1 0.31)7
(3) f(t) (9.05 106)(1 0.031)7
(4) f(t) (9.05 106)(1 0.031)7
y
x
(1)
(2)
(3)
(4)
y
x
y
x
y
x
Algebra I (Common Core) – Aug. ’15 [5] [OVER]
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8 A typical cell phone plan has a fixed base fee that includes a certain computations.
amount of data and an overage charge for data use beyond the plan.
A cell phone plan charges a base fee of $62 and an overage charge
of $30 per gigabyte of data that exceed 2 gigabytes. If C represents
the cost and g represents the total number of gigabytes of data,
which equation could represent this plan when more than
2 gigabytes are used?
(1) C 30 62(2 g) (3)C 62 30(2 g)
(2) C 30 62(g 2) (4) C 62 30(g 2)
9 Four expressions are shown below.
I 2(2x2 2x 60)
II 4(x2 x 30)
III 4(x 6)(x 5)
IV 4x(x 1) 120
The expression 4x2 4x 120 is equivalent to
(1) I and II, only (3) I, II, and IV
(2) II and IV, only (4) II, III, and IV
10 Last week, a candle store received $355.60 for selling 20 candles.
Small candles sell for $10.98 and large candles sell for $27.98.
How many large candles did the store sell?
(1) 6 (3) 10
(2) 8 (4) 12
Algebra I (Common Core) – Aug. ’15 [6]
11 Which representations are functions?
(1) I and II (3) III, only
(2) II and IV (4) IV, only
12 If f(x) , then f (1 __
2)
(1) 1 (3) 1
(2) 2 (4) 1_3_
3
13 The zeros of the function f(x) 3x2 3x 6 are
(1) 1 and 2 (3) 1 and 2
(2) 1 and 2 (4) 1 and 2
2 3




Algebra I (Common Core) – Aug. ’15 [8]
16 Which graph represents f(x) {|x| x 1
?
x x≥ 1
17 If f(x) x2 2x 8 and g(x) 1 __
4 x 1, for which values of x is
f(x) g(x)?
(1) 1.75 and 1.438 (3) 1.438 and 0
(2) 1.75 and 4 (4) 4 and 0
x
y
(1)
x
y
(3)
x
y
(2)
x
y
(4)
Use this space for
computations.
Algebra I (Common Core) – Aug. ’15 [9] [OVER]
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18 Alicia has invented a new app for smart phones that two companies computations.
are interested in purchasing for a 2-year contract.
Company A is offering her $10,000 for the first month and will
increase the amount each month by $5000.
Company B is offering $500 for the first month and will double their
payment each month from the previous month.
Monthly payments are made at the end of each month. For which
monthly payment will company B’s payment first exceed company A’s
payment?
(1) 6 (3) 8
(2) 7 (4) 9
19 The two sets of data below represent the number of runs scored by
two different youth baseball teams over the course of a season.
Team A: 4, 8, 5, 12, 3, 9, 5, 2

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