The students in Mrs. Smith’s algebra class were asked to describe the graph of g(x) = $$2(x - 3)^2$$ compared to the graph of f(x) = $$x^2$$ . Which student response is correct? (1) Ashley said that the graph of g(x) is wider and shifted left 3 units. (2) Beth said that the graph of g(x) is narrower and shifted left 3 units. (3) Carl said that the graph of g(x) is wider and shifted right 3 units. (4) Don said that the graph of g(x) is narrower and shifted right 3 units.

Carl said that the graph of g(x) is wider and shifted right 3 units.

Ashley said that the graph of g(x) is wider and shifted left 3 units.

Beth said that the graph of g(x) is narrower and shifted left 3 units.

Don said that the graph of g(x) is narrower and shifted right 3 units.

When babysitting, Nicole charges an hourly rate and an additional charge for gas. She uses the function C(h) = 6h + 5 to determine how much to charge for babysitting. The constant term of this function represents

the number of hours Nicole babysits

the total Nicole earns from babysitting

Given the relation R = {(-1,1), (0,3), (-2,-4), (x,5)}. Explain why your answer makes this a function.

Because each x-value is unique and maps to only one y-value.

Because there are multiple y-values for a single x-value.

Because the relation includes negative numbers.

Because the relation is not defined for all real numbers.

State what this correlation coefficient indicates about the linear fit of the data.

The correlation coefficient indicates a perfect positive linear relationship.

The correlation coefficient indicates a strong negative linear relationship.

The correlation coefficient indicates no linear relationship.

The correlation coefficient indicates a weak positive linear relationship.

Use the quadratic formula to solve the equation $$3x^2 - 10x + 5 = 0$$ . Express the answer in simplest radical form.

x = (5 + √5)/3 or x = (5 - √5)/3

x = (10 + √10)/6 or x = (10 - √10)/6

x = (5 + √10)/3 or x = (5 - √10)/3

x = (10 + √5)/6 or x = (10 - √5)/6

Courtney went to a coffee shop to purchase lattes and donuts for her friends. One day she spent a total of $$15.50 on four lattes and two donuts. The next day she spent a total of $$ 18.10 on three lattes and five donuts. All prices included tax. If x represents the cost of one latte and y represents the cost of one donut, which of the following systems of equations can be used to model this situation?

4x + 2y = 15.50, 3x + 5y = 18.10

4x + 2y = 18.10, 3x + 5y = 15.50

4x + 5y = 15.50, 3x + 2y = 18.10

2x + 4y = 15.50, 5x + 3y = 18.10

Courtney thinks that one latte costs $$2.75 and one donut costs $$ 2.25. Is Courtney correct? Justify your answer. Use your equations to determine algebraically the exact cost of one latte and the exact cost of one donut.

The cost of a latte is $2.75 and a donut is $2.25.

The cost of a latte and a donut cannot be determined.

What is the formula for the Quadratic Equation?

The formula for the Quadratic Equation is given by x = (-b ± √(b² - 4ac)) / (2a), where a, b, and c are coefficients.

The formula for the Quadratic Equation is given by x = (b ± √(b² + 4ac)) / (2a), where a, b, and c are coefficients.

The formula for the Quadratic Equation is given by x = (-b ± √(b² - 2ac)) / (2a), where a, b, and c are coefficients.

The formula for the Quadratic Equation is given by x = (-b ± √(b² - 4ac)) / (a), where a, b, and c are coefficients.

What is the formula for Geometric Sequence?

The formula for a geometric sequence is given by: $$a_n = a_1 * r^{(n-1)}$$ , where $$a_n$$ is the nth term, $$a_1$$ is the first term, $$r$$ is the common ratio, and $$n$$ is the term number.

The formula for a geometric sequence is given by: a_n = a_1 + (n-1) * d, where a_n is the nth term, a_1 is the first term, d is the common difference, and n is the term number.

The formula for a geometric sequence is given by: $$a_n = a_1 * n^r$$ , where $$a_n$$ is the nth term, $$a_1$$ is the first term, $$r$$ is the common ratio, and $$n$$ is the term number.

The formula for a geometric sequence is given by: $$a_n = a_1 / r^{(n-1)}$$ , where $$a_n$$ is the nth term, $$a_1$$ is the first term, $$r$$ is the common ratio, and $$n$$ is the term number.

What is the purpose of the procedures mentioned in the 'Mechanics of Rating' document?

To provide guidelines for rating

To outline the objectives of rating

To explain the benefits of rating

What are the general principles for rating constructed-response questions on the Regents Examination in Algebra I?

The principles include clarity, consistency, and fairness.

The principles include speed, accuracy, and efficiency.

The principles include creativity, originality, and innovation.

The principles include complexity, difficulty, and challenge.

Algebra I – June '24

9th Grade

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69 Qs

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Algebra I – June '24

Quiz

•

Mathematics

•

9th Grade

•

Practice Problem

•

Hard

•

CCSS

HSA.REI.B.3, HSA.CED.A.1, HSA.CED.A.2

+40

Standards-aligned

Carlo Damus

FREE Resource

69 questions

Show all answers

MULTIPLE SELECT QUESTION

30 sec • 1 pt

Based on these data, which statement is a valid conclusion?

The ball lands on the ground at 4 seconds.

The ball reaches a maximum height of 11 feet.

The ball was launched from a height of 0 feet.

The ball reaches its maximum height at 2 seconds.

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.D.10

MULTIPLE SELECT QUESTION

30 sec • 1 pt

(1) a + c < 48 18a + 12c > 650

(2) a + c ≤ 48 18a + 12c ≥ 650

(3) a + c < 48 18a + 12c < 650

(4) a + c ≤ 48 18a + 12c ≤ 650

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

MULTIPLE SELECT QUESTION

30 sec • 1 pt

Which equation is always true?

MULTIPLE SELECT QUESTION

30 sec • 1 pt

The expression −2(x² − 2x + 1) + (3x² + 3x − 5) is equivalent to

x² + x − 4

x² − x − 7

x² + 7x − 4

x² + 7x − 7

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.REI.B.3

CCSS.HSA.SSE.A.2

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which sum is irrational?

−2√12 + √100

−√4 + 1/3√900

1/2√25 + √64

√49 + 3√121

Tags

CCSS.HSN.RN.A.2

CCSS.HSN.RN.B.3

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

The solution to 4(x − 5)/3 + 2 = 14 is

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

On an island, a rare breed of rabbit doubled its population each month for two years. Which type of function best models the increase in population at the end of two years?

linear growth

linear decay

exponential growth

exponential decay

Tags

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.3

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Algebra I – June '24

69 questions

Based on these data, which statement is a valid conclusion?

Which equation is always true?

The expression −2(x² − 2x + 1) + (3x² + 3x − 5) is equivalent to

Which sum is irrational?

The solution to 4(x − 5)/3 + 2 = 14 is

On an island, a rare breed of rabbit doubled its population each month for two years. Which type of function best models the increase in population at the end of two years?

What is the degree of the polynomial 2x − x² + 4x³?

The zeros of the function f(x) = x(x − 5)(3x + 6) are

What is the y-intercept of the line that passes through the points (−1,5) and (2,−1)?

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