Quiz about EOC Boot Camp Desmos Session

Question 1

When the expression $$2x\left(x-4\right)-3\left(x+5\right)$$ is written in simplest form, the result is

Accepted Answer

$$2x^2-11x-15$$

Answer

$$2x^2-11x+5$$

Answer

$$2x^2-3x-19$$

Answer

$$2x^2-3x+1$$

Question 2

Given $$f\left(x\right)=-3x^2+10$$ , what is the value of $$f\left(-2\right)$$ ?

Accepted Answer

-2

Answer

-26

Answer

22

Answer

46

Question 3

What is the solution to $$2+3\left(2a+1\right)=3\left(a+2\right)$$ ?

Accepted Answer

$$\frac{1}{3}$$

Answer

$$\frac{1}{7}$$

Answer

$$-\frac{3}{7}$$

Answer

$$-\frac{1}{3}$$

Question 4

If $$f\left(x\right)=x^2+2x+1$$ and $$g\left(x\right)=7x-5$$ , for which values of x is $$f\left(x\right)=g\left(x\right)$$ ?

Accepted Answer

2 and 3

Answer

-1 and 6

Answer

-6 and -1

Answer

-3 and -2

Question 5

Which expression is equivalent to $$2x^2+8x-10$$ ?

Accepted Answer

$$2\left(x-1\right)\left(x+5\right)$$

Answer

$$2\left(x+1\right)\left(x-5\right)$$

Answer

$$2\left(x-1\right)\left(x-5\right)$$

Answer

$$2\left(x+1\right)\left(x+5\right)$$

Question 6

Thirty-two teams are participating in a basketball tournament. Only the winning teams in each round advance to the next round, as shown in the table. Which function type best models the relationship between the number of rounds completed and the number of teams remaining?

Accepted Answer

Exponential

Answer

Absolute Value

Answer

Linear

Answer

Quadratic

Question 7

Determine the line of best fit for the data given in the table.

Accepted Answer

$$y=0.14x+1.14$$

Answer

$$y=0.14x-1.14$$

Answer

$$y=6.76x+7.74$$

Answer

$$y=-6.37x+7.74$$

Question 8

The table 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 this data?

Accepted Answer

-0.98

Answer

-0.95

Answer

0.98

Answer

0.95

Question 9

Simplify: $$3\sqrt[]{50}+\sqrt[]{24}-2\sqrt[\ ]{72}$$

Accepted Answer

$$3\sqrt[]{2}+2\sqrt[]{6}$$

Answer

$$3\sqrt[]{6}+2\sqrt[]{2}$$

Answer

$$3\sqrt[]{9}+2\sqrt[]{5}$$

Answer

$$10\sqrt[]{2}+2\sqrt[]{6}$$

Question 10

Look at the expression below. Select all that are equivalent to the expression:

$$2\sqrt[]{8}\cdot\sqrt[]{20}$$

Accepted Answer

$$8\sqrt[]{10}$$

Accepted Answer

$$4\sqrt[]{40}$$

Answer

$$2\sqrt[]{28}$$

Answer

$$32\sqrt[]{10}$$

Answer

$$32\sqrt[]{10}$$

Question 11

The table below shows the cost of renting a canoe at Parker Lakes for different number of hours. Based on the data in the table, which statement correctly represents the cost of renting a canoe?

Accepted Answer

The cost is a one-time fee of $5 plus $2 per hour.

Answer

The cost is $3.25 per hour.

Answer

The cost is $3.50

Answer

The cost is a one-time fee of $2 plus $5 per hour.

Question 12

Which quadratic equation defines the function that has zeros at -8 and 6?

Accepted Answer

$$x^2+2x-48=0$$

Answer

$$x^2-2x-48=0$$

Answer

$$x^2+2x+48=0$$

Answer

$$x^2-2x+48=0$$

Question 13

Factor by grouping:
$$x^3-4x^2-4x+16$$

Accepted Answer

$$\left(x-4\right)\left(x^2-4\right)$$

Answer

$$\left(x+4\right)\left(x+2\right)$$

Answer

$$\left(x+4\right)\left(x^2-4\right)$$

Answer

$$\left(x-4\right)\left(x-2\right)$$

Question 14

A ball is thrown upward into the air. The height, in feet, of the ball above the ground t seconds after the ball is thrown can be determined by the expression $$h\left(t\right)=-16t^2+40t+3$$ . What is the meaning of 3 in the equation?

Accepted Answer

The ball was thrown from a height of 3 feet.

Answer

The ball took 3 seconds to reach its maximum height.

Answer

The ball took 3 seconds to reach the ground.

Answer

The ball reached a maximum height of 3 feet.

Question 15

Jeremiah solved the following equation by completing the square. $$x^2+10x=39$$ . Which of the following is the correct solution?

Accepted Answer

x = -13 and x = 3

Answer

$$x\ =\ -10+\sqrt[]{164}$$ and $$x\ =\ -10\ -\ \sqrt[]{164}$$

Answer

$$x\ =\ -5\ +\sqrt[]{39}$$ and

$$x\ =\ -5-\sqrt[]{39}$$

Answer

$$x\ =\ 5\ +\ \sqrt[]{14}$$

and

$$x\ =\ 5\ -\ \sqrt[]{14}$$

Question 16

Is the following table linear, quadratic, or exponential? Then, write the equation.

Accepted Answer

Exponential

$$y=32\left(2\right)^x$$

Answer

Quadratic

$$y=11x^2+37x+28$$

Answer

Linear

$$y=37x+73$$

Answer

Exponential

$$y=2\left(32\right)^x$$

Answer

Quadratic

$$y=37x+73$$

Question 17

A math teacher wanted to see the correlation between test scores and homework. The homework grade (x) and test grade (y) are given in the accompanying table. Write the linear regression equation that represents this set of data, rounding all coefficients to the nearest tenth.

Accepted Answer

$$y=\ 0.9x-0.6$$

Answer

$$y=-0.6x+0.9$$

Answer

$$y=-0.9x\ +0.6$$

Answer

$$y=0.91x\ -0.55$$

Question 18

The linear regression equation of $$y=\ 0.9x-0.6$$ represents the data table. Using this equation, estimate the homework grade, to the nearest integer, for a student with a test grade of 89.

Accepted Answer

100

Answer

89

Answer

99

Answer

79

Question 19

Which is the equation of the line through the point (2, 3) with a slope of $$\frac{1}{2}$$ ?

Accepted Answer

$$y=\frac{1}{2}x+2$$

Answer

$$y=\frac{1}{2}x+3$$

Answer

$$y=\frac{1}{2}x+4$$

Answer

$$y=3x+\frac{1}{2}$$

Answer

$$y=\frac{1}{2}x-3$$

Question 20

What is the minimum value of the quadratic function $$y=x^2-6x+4$$ ?

Accepted Answer

-5

Answer

-3

Answer

4

Answer

5

Answer

2

Question 21

Factor
k²+7k+10

Accepted Answer

(k+2)(k+5)

Answer

(k-2)(k-5)

Answer

(k+10)(k+4)

Answer

(k+2)(k-5)

Question 22

Which of the following is a solution to the inequality $$-2x+4.6<7.1$$ ?

Accepted Answer

1.25

Answer

-1.25

Answer

-5

Answer

-3

Answer

-5.85

Question 23

Factor
a² - a - 12

Accepted Answer

(a - 4)(a + 3)

Answer

(a + 6)(a - 4)

Answer

(a - 6)(a + 4)

Answer

(a + 4)(a - 3)

Question 24

Factor x²-25

Accepted Answer

( x + 5 ) ( x - 5 )

Answer

( x - 5 ) ( x - 5 )

Answer

( x + 5 ) ( x + 5 )

Answer

Prime

EOC Boot Camp Desmos Session

24 questions

Thirty-two teams are participating in a basketball tournament. Only the winning teams in each round advance to the next round, as shown in the table. Which function type best models the relationship between the number of rounds completed and the number of teams remaining?

Determine the line of best fit for the data given in the table.

The table 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 this data?

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