Answers NY-Algebra I Term 1 HillcrestUnit Test

Unit Test — Unit test Answers

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The factor tree for 3,025 is shown.

52(112)

52+(112)

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A hotel offers a reward program based on the number of nights stayed. The function f(x) represents the number of free nights earned as a function of x, the number of nights stayed.f(x) = Which describes the meaning of f(x)?

A customer earns 1 free night per 10 nights stayed.

A customer starts with 1 free night and then earns another free night after every 10 nights stayed.

A customer earns x – 10 free nights for every 10 nights stayed.

A customer earns 10 free nights after x number of nights stayed.

What is the simplified form of ?

5000

5000

100

100

A function, h(x), is defined as shown.h(x) = Which graph represents h(x)?

Option

Question text not available

all real numbers

all real numbers less than or equal to 3

all real numbers less than or equal to –3

all real numbers greater than or equal to –3

The step function f(x) is graphed.

The function f(x) is to be graphed on a coordinate plane.f(x) = At what point should an open circle be drawn?

(–1, 0)

(0, 0)

(0, 1)

(1, 0)

Which graph represents the function f(x) = |x| – 4?

On a coordinate plane, an absolute value graph has a vertex at (0, 4).

On a coordinate plane, an absolute value graph has a vertex at (negative 4, 0).

On a coordinate plane, an absolute value graph has a vertex at (0, negative 4).

On a coordinate plane, an absolute value graph has a vertex at (4, 0).

Which could be the graph of f(x) = |x - h| + k if h and k are both positive?

Option

Which graph represents the function f(x) = 4|x|?

Option

Question text not available

–1

Option

The graph of the step function g(x) = –⌊x⌋ + 3 is shown.

{x| x is a real number}

{x| x is an integer}

{x| –2 ≤ x < 5}

{x| –1 ≤ x ≤ 5}

A piecewise function is represented by the graph below.

x < –1

–1 ≤ x ≤ 1

1 ≤ x < 2

x > 1

On a coordinate plane, an absolute value graph has a vertex at (1, 3).

g(x) = |x + 1| + 3

g(x) = |x + 3| – 1

g(x) = |x – 1| + 3

g(x) = |x + 3| + 1

Which graph represents the function p(x) = |x – 1|?

Option

The graph of a function is shown.

f(x) =

Which represents the reflection of f(x) = over the y-axis?

A 2-column table has 4 rows. The first column is labeled x with entries negative 1, 0, 1, 4. The second column is labeled f (x) with entries undefined, 0, 1, 2.

A 2-column table has 4 rows. The first column is labeled x with entries negative 1, 0, 1, 4. The second column is labeled f (x) with entries undefined, 0, negative 1, negative 2.