Functions and Linear Relationships

Functions and Linear Relationships

Assessment

Interactive Video

Created by

Emma Peterson

Mathematics

9th - 10th Grade

1 plays

Hard

Vin guides viewers through the August 2022 Algebra 1 Regents exam, covering topics such as function evaluation, common ratios, difference of squares, solving equations, distributive property, graph analysis, data representation, linear functions, quadratic equations, recursive sequences, unit conversion, domain analysis, correlation, and solving for variables. The video provides step-by-step solutions and tips for using calculators effectively.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the value of f(8) for the function f(x) = (3x + 4) / 2?

18

12

16

14

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the common ratio of the sequence where the first two terms are x and 2x^2?

x^2

2x^2

2x

x

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which value of x would make the relation a function if the x-values are -4, 3, and -1?

-4

3

-1

4

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of distributing 1/3 in the expression 1/3(6x^2 - 3x + 9)?

2x^2 - x + 3

2x^3 - x^2 + 3x

2x^2 - x^2 + 3

2x^2 - x + 3x

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which polynomial function has zeros at x = 2 and x = -3?

x^2 + 5x + 6

x^2 + x - 6

x^2 - x - 6

x^2 - 5x + 6

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the constant term in the polynomial 3x^3 + 2x^2 + 7x + 6?

3

6

2

7

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which situation can be modeled by a linear function?

A car's value decreases by 7% annually.

A gym charges a $50 initial fee and $30 per month.

An investment grows by 5% annually.

Bacteria in a lab doubles weekly.

8.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the y-intercept of the function y = sqrt(x - 3) when x = 0?

3

1

0

-3

9.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the value of a_4 in the recursive sequence defined by a_n = 3a_(n-1) + 1, with a_1 = -2?

-41

-14

-5

-42

10.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which set of calculations converts 1500 meters in 15.42 minutes to miles per hour?

1500 / 3.281 / 5280 * 60 / 15.42

1500 / 3.281 * 5280 / 60 * 15.42

1500 * 3.281 / 5280 * 60 / 15.42

1500 * 3.281 * 5280 / 60 / 15.42

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