Quiz about Algebra 1 Regents Review

Question 1

A high school club is researching a tour package offered by the Island Kayak Company. The Company charges $35 per person and $245 for the tour guide. Which function represents the total cost, C (x), of this kayak tour package for x club members?

Accepted Answer

C(x) - 35x + 245

Answer

C(x) = 35x

Answer

C(x) = 35(x + 245)

Answer

C(x) = 35 + (x +245)

Question 2

The expression 3(x + 4) - (2x + 7) is equivalent to

Accepted Answer

x + 5

Answer

x - 10

Answer

x - 3

Answer

x + 11

Question 3

Which relation is not a function?

Accepted Answer

Option D is correct

Answer

A.

Answer

B.

Answer

C.

Question 4

The value of Tony's investment was $1140 on January 1st. One this date three years later, his investment was worth $1824. The average rate of change for this investment was $19 per

Accepted Answer

month

Answer

day

Answer

quarter

Answer

year

Question 5

The solution to 3(x - 8) + 4x = 8x + 4 is

Accepted Answer

-28

Answer

12

Answer

28

Answer

-12

Question 6

An ice cream shop sells ice cream cones, c, and milkshakes, m. Each ice cream cone costs $1.50 and each milkshake costs $2.00. Donna has $19.00 to spend on ice cream cones and milkshakes. If she must buy 5 ice cream cones, which inequality could be used to determine the maximum number of milkshakes she can buy?

Accepted Answer

1.50(5) + 2.00m < 19.00

Answer

1.50(5) + 2.00(m) > 19.00

Answer

1.50c + 2.00(5) > 19.00

Answer

1.50c + 2.00(5) < 19.00

Question 7

Given: f(x) = 2/3x - 4 and g(x) = 1/4x + 1

Four statements about this system are written below:

I. f(4) = g(4)

II. When x = 12, f(x) = g(x)

III. The graphs of f(x) and g(x) intersect at (12, 4)

IV. The graphs of f(x) and g(x) interest at (4, 12)

Accepted Answer

II and III

Answer

II, only

Answer

IV, only

Answer

I and IV

Question 8

Which sketch represents the polynomial function

f(x) = x(x + 6)(x + 3)?

Accepted Answer

Option A is correct

Answer

B.

Answer

C.

Answer

D.

Question 9

Which domain would be the most appropriate to use for a function that compares the number of emails sent (x) to the amount of data used for a cell phone plane (y)?

Accepted Answer

whole numbers

Answer

integers

Answer

rational numbers

Answer

irrational numbers

Question 10

Eric deposits $500 in a bank account that pays 3.5% interest, compounded yearly. Which type of function should he use to determine how much money he will have in the account at the end of 10 years?

Accepted Answer

exponential

Answer

linear

Answer

quadratic

Answer

absolute value

Question 11

Given: the sequence 4, 7, 10, 13, ...

When using the arithmetic sequence formula $$a_{n\ }=\ a_{1\ }+\ \left(n\ -\ 1\right)d$$ to determine the 10th term, which variable would be replaced with the number 3?

Accepted Answer

d

Answer

$$a_1$$

Answer

n

Answer

$$a_n$$

Question 12

Shown are two representations of data.

Which statement about A and B is true?

Accepted Answer

upper quartile of A < upper quartile of B

Answer

median of A > median of B

Answer

range of A < range of B

Answer

lower quartile of A > lower quartile of B

Question 13

Which system has the same solution as the system below?

x + 3y = 10

-2x - 2y = 4

Accepted Answer

-x + y = 14

2x + 6y = 20

Answer

-x + y = 6

2x + 6y = 20

Answer

x + y = 6

2x + 6y = 20

Answer

x + y = 14

2x + 6y = 20

Question 14

Given the pattern shown, which recursive formula represents the number of triangles in this sequence?

Accepted Answer

$$a_{1\ }=\ 3,\ a_{n\ }=\ a_n-_{1\ }+\ 2$$

Answer

y = 2x + 3

Answer

y = 3x + 2

Answer

$$a_{1\ }=\ 2,\ a_{n\ }=\ a_n-_{1\ }+\ 3$$

Question 15

Students were asked to write an expression which had a leading coefficient of 3 and a constant term of -4. Which response is correct?

Accepted Answer

$$-4x^2\ +\ 3x^{4\ }-\ 4$$

Answer

$$3\ -\ 2x^3\ -\ 4x$$

Answer

$$7x^{3\ }-\ 3x^{5\ }-\ 4$$

Answer

$$4\ -\ 7x\ +\ 3x^3$$

Question 16

Sarah travels on her bicycle at a speed of 22.7 miles per hour. What is Sarah's approximate speed, in kilometers per minute?

Accepted Answer

0.6

Answer

0.2

Answer

36.5

Answer

36.6

Question 17

Which ordered pair does not fall on the line formed by the other three?

Accepted Answer

(16, 18)

Answer

(12, 12)

Answer

(9, 10)

Answer

(3, 6)

Algebra 1 Regents Review

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