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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