IOA 4.e What mistake, if any, did Emma make in solving the quadratic?

Emma correctly solved the quadratic using the quadratic formula.

In Step 1, Emma should not have set the quadratic equal to zero in order to use the quadratic formula.

In Step 2, Emma did not use the correct values for a, b, or c when she plugged into the quadratic formula.

In Step 4, Emma should not have gotten an imaginary number when simplifying the radical.

In Step 5, Emma did not simplify the 14 underneath the radical to 7.

IOA 4.a The quadratic regression equation for a data set is y = $$-16x^2 + 223.8x + 3.6$$ , where y is the height in feet of a model rocket above the ground and x is the amount of time since launch, in seconds. Which of the following is true?

The rocket was launched from a height of 3.6 feet.

The rocket was launched from a height of -16 feet.

The rocket was launched from a height of 223.8 feet.

The rocket was launched from a height of 211.4 feet.

IOA 4.f What are the solutions to the system of equations: $$y=-2x^2-2x+1$$ $$y=2x+1$$

The solutions are x = 0, y = 1 and x = -1, y = -1.

The solutions are x = 1, y = 3 and x = -2, y = -3.

The solutions are x = 2, y = 5 and x = -1, y = -1.

The solutions are x = 0, y = 0 and x = 1, y = 3.

IOA 4.h The graph of a polynomial function is shown. Which statement about the polynomial is true?

The degree of the polynomial is even.

The degree of the polynomial is odd.

The constant term of the polynomial is even.

The constant term of the polynomial is odd.

IOA 4.h The graph of a polynomial function is shown. Select all the true statements about the polynomial.

The constant term of the polynomial is positive.

The leading coefficient is negative.

The degree of the polynomial is odd.

The degree of the polynomial is even.

The leading coefficient is positive.

IOA 4.h State the degree, end behavior and number of zeros for f(x) = $$-x^3 + 5x^2 + 6x + 1$$ .

Degree: 3, End behavior: Left down, right up, Number of zeros: 3

Degree: 3, End behavior: Left up, right down, Number of zeros: 3

Degree: 2, End behavior: Both up, Number of zeros: 2

Degree: 3, End behavior: Both down, Number of zeros: 1

IOA 4.i A practice skydiver jumps from a height over a high-powered fan and floats. The function h(x) shows the height of the skydiver during a practice session. Which of the following statements are true? Select all that apply.

The maximum shows that the skydiver jumped from a height of 12 feet.

The y-intercept shows that the skydiver jumped from a height of 10 feet.

The local minimum shows that the length of the practice section was 10.5 minutes.

The x-intercept shows that the length of the practice section was 15 minutes.

IOA 5.d A school is planning to buy laptops and tablets for students. Each laptop costs $500 and weighs 5 pounds. Each tablet costs $300 and weighs 2 pounds. The school has a budget of no more than $6,000 and can carry at most 80 pounds of equipment. Let x represent the number of laptops and y represent the number of tablets purchased. Which system of inequalities best represents the constraints for this situation?

500x + 300y ≤ 6000 5x + 2y ≤ 80 x ≥ 0 y ≥ 0

500x + 300y ≤ 6000 2x + 5y ≤ 80 x ≥ 0 y ≥ 0

300x + 500y ≤ 6000 2x + 5y ≤ 80 x ≥ 0 y ≥ 0

500x + 300y ≤ 8000 5x + 2y ≤ 60 x ≥ 0 y ≥ 0

IOA 5.d Find the minimum value and maximum value of the objective function subject to the given constraints. Objective function: C = 2x - y Constraints: x ≥ 0 y ≥ x + 2 x + y ≤ 6

Minimum value: -6, Maximum value: 6

Minimum value: 0, Maximum value: 10

Minimum value: -4, Maximum value: 8

Minimum value: -2, Maximum value: 4

IOA 5.d You are stenciling mugs to sell at a fair. It takes you 2 hours to stencil a small coffee mug and 3 hours to stencil a large travel mug. You make a profit of $10 for a small mug and $20 for a large mug. You have no more than 30 hours available to stencil and want at least 12 mugs to sell. Write the constraints.

2x + 3y ≤ 30 x + y ≥ 12 x ≥ 0 y ≥ 0

2x + 3y ≥ 30 x + y ≥ 15 x ≥ 0 y ≥ 0

2x + 3y ≤ 30 x + y ≤ 12 x ≥ 0 y ≥ 0

2x + 3y ≤ 25 x + y ≥ 10 x ≥ 0 y ≥ 0

IOA 5.d You are stenciling mugs to sell at a fair. It takes you 2 hours to stencil a small coffee mug and 3 hours to stencil a large travel mug. You make a profit of $10 for a small mug and $20 for a large mug. You have no more than 30 hours available to stencil and want at least 12 mugs to sell. Use technology to determine the coordinates of the feasible region.

(0, 12), (6, 6), (15, 0), and (0, 10).

(5, 7), (6, 6), (15, 0), and (0, 10).

IOA 4.i The function c(x) models the number of cookies sold each day by a bakery during a 10-day period. For this question, choose TWO answers. Which of the following statements about the graph are TRUE?

The number of cookies sold is increasing on the interval (6, 9.5).

On day 6, the company sold 50 cookies.

The number of cookies sold at the bakery increased between days 5 and 6.

The number of cookies sold is decreasing on the interval (9, 11).

The company sold the maximum amount of cookies between the 1st and 2nd days.

IOA 4.i The graph of a polynomial function f(x) is shown. Select all the true statements about the polynomial.

The degree of the polynomial is odd. The leading coefficient is positive.

The constant term of the polynomial is positive. (HINT: y intercept)

The degree of the polynomial is even. The leading coefficient is negative.

The constant term of the polynomial is negative. (HINT: y intercept)

2nd Semester Spiral Review (Grade & Extra Credit)

Authored by Beatrice Thames

Mathematics

11th Grade

CCSS covered

Used 10+ times

2nd Semester Spiral Review (Grade & Extra Credit)

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41 questions

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MULTIPLE CHOICE QUESTION

30 sec • 1 pt

0 + 14i

14 + 0i

0 - 14i

14i + 0

Tags

CCSS.HSN.CN.A.1

FILL IN THE BLANKS QUESTION

30 sec • 1 pt

Tags

CCSS.HSN.CN.A.1

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

IOA 4.b
Find the conjugate of the given complex number: 10 - 6i

10 + 6i

10 - 6i

-10 + 6i

-10 - 6i

Tags

CCSS.HSN.CN.A.3

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

IOA 4.b
Find the conjugate of the given complex number: -10 + 6i

-10 - 6i

-10 + 6i

10 - 6i

10 + 6i

Tags

CCSS.HSN.CN.A.3

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

IOA 4.b
Find the conjugate of the given complex number: -3 - 2i

-3 + 2i

-3 - 2i

3 + 2i

3 - 2i

Tags

CCSS.HSN.CN.A.3

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

IOA 4.b
Find the conjugate of the given complex number: 4i

-4i

-4

Tags

CCSS.HSN.CN.A.3

MATCH QUESTION

30 sec • 1 pt

IOA 4.b
Match each expression to an equivalent expression.

-16

16i

-16i

Tags

CCSS.HSN.CN.A.2

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2nd Semester Spiral Review (Grade & Extra Credit)

IOA 4.bFind the conjugate of the given complex number: 10 - 6i

IOA 4.bFind the conjugate of the given complex number: -10 + 6i

IOA 4.bFind the conjugate of the given complex number: -3 - 2i

IOA 4.bFind the conjugate of the given complex number: 4i

IOA 4.bMatch each expression to an equivalent expression.

IOA 4.cWhich expression represents (-3 - 2i) - (-5 + i)?

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IOA 4.b
Find the conjugate of the given complex number: 10 - 6i

IOA 4.b
Find the conjugate of the given complex number: -10 + 6i

IOA 4.b
Find the conjugate of the given complex number: -3 - 2i

IOA 4.b
Find the conjugate of the given complex number: 4i

IOA 4.b
Match each expression to an equivalent expression.

IOA 4.c
Which expression represents (-3 - 2i) - (-5 + i)?