The Learning Room Algebra 1 Assessment

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The short quiz is pulled from the 2022 released New York State Mathematics test. This quiz will cover Algebra 1 and what a student will be able to do by the end of the year. If you see that your student is struggling, we are here to help. Click here for a free assessment from one of our academic coaches.

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Solve the function below. *

1 point

If x ≠ 0, then the common ratio of the sequence x, 2x², 4x³, 8x⁴, 16x⁵, ... is

1 point

1/2x

The expression 36x² - 9 is equivalent to

1 point

(6x - 3)²

(18x - 4.5)²

(6x + 3)(6x - 3)

(18x + 4.5)(18x - 4.5)

Given the relation R = {(-4,2), (3,6), (x,8), (-1,4)}

Which value of x would make this relation a function?

1 point

-4

-1

If the point (K,-5) lies on the line whose equation is 3x + y = 7, then the value of K is

1 point

-8

-4

The expression 1/3x(6x² - 3x + 9) is equivalent to

1 point

2x² - x + 3

2x² + 3x + 3

2x³ - x² + 3x

2x³ + 3x² +3x

The graphs below represent four polynomial functions. Which of these functions has zeros of 2 and -3?

1 point

What is the constant term of the polynomial below.

4d + 6 + 3d²

1 point

Emily was given $600 for her high school graduation. She invested it in an account that earns 2.4% interest per year. If she does NOT make any deposits of withdrawals, which expression can be used to determine the amount of money that will be in the account after 4 years? *

1 point

600(1 + 0.24)⁴

600(1 - 0.24)⁴

600(1+ 0.024)⁴

600(1 - 0.024)⁴

Different ways to represent data are shown below.

Which data representations have a median of 2?

1 point

I and II, only

I and III, only

II and III, only

I, II, and III

What would be the order of these quadratic functions when they are arranged from the narrowest graph to the widest graph?

1 point

f(x), g(x), h(x)

g(x), h(x), f(x)

h(x), f(x), g(x)

f(x), h(x), g(x)

At Berkeley Central High School, a survey was conducted to see if students preferred cheeseburgers, pizza, or hot dogs for lunch. The results of this survey are shown in the table below.

Based on this survey, what percent of the students preferred pizza?

1 point

30%

37%

44%

74%

Which situation could be modeled by a linear function?

1 point

The value of a car depreciates by 7% annually

A gym charges a $50 initial fee and then $30 monthly

The number of bacteria in a lab doubles weekly

The amount of money in a bank account increases by 0.1% monthly

Which function has the smallest y-intercept value?

1 point

When solving x² - 10x - 13 = 0 by completing the square, which equation is a step in the process?

1 point

(x - 5)² = 38

(x - 5)² = 12

(x - 10)² = 38

(x - 10)² = 12

When 3x² + 7x - 6 + 2x³ is written in standard form, the leading coefficient is

1 point

-6

Which of the equations below have the same solution?

1 point

I and II, only

I and III, only

II and III, only

I, II, and III

In an organism, the number of cells, C(d), after d days can be represented by the function below. This function can also be expressed as *

1 point

In the process of solving the equation 10x² - 12x - 16x = 6, George wrote 2(5x² - 14x) = 2(3), followed by 5x² - 14x = 3. Which properties justify George’s process?

A) addition property of equality

B) division property of equality

C) commutative property of addition

D) distributive property

1 point

A and C

A and B

D and C

D and B

A sequence is defined recursively by the sequence below.

What is the value of a₄?

1 point

-41

-14

A swimmer set a world record in the women’s 1500-meter freestyle, finishing the race in 15.42 minutes. If 1 meter is approximately 3.281 feet, which set of calculations could be used to convert her speed to miles per hour?

1 point

The diagram below shows the graph of h(t), which models the height, in feet, of a rocket t seconds after it was shot into the air.

What is the Domain of h(t)?

1 point

(0, 4)

[0, 4]

(0, 64)

[0, 64]

The table below shows the time, in hours, spent by students on electronic devices and their math test scores. The data collected model a linear regression.

What is the correlation coefficient, to the nearest hundredth, for these data?

1 point