Free Printable EOC Boot Camp Desmos Session

1.

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

a)

$2x^2-11x-15$

b)

$2x^2-11x+5$

c)

$2x^2-3x-19$

d)

$2x^2-3x+1$

2.

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

a)

-26

b)

-2

c)

22

d)

46

3.

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

a)

$\frac{1}{7}$

b)

$\frac{1}{3}$

c)

$-\frac{3}{7}$

d)

$-\frac{1}{3}$

4.

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

a)

-1 and 6

b)

-6 and -1

c)

-3 and -2

d)

2 and 3

5.

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

a)

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

b)

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

c)

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

d)

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

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?

a)

Absolute Value

b)

Exponential

c)

Linear

d)

Quadratic

7.

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

a)

$y=0.14x+1.14$

b)

$y=0.14x-1.14$

c)

$y=6.76x+7.74$

d)

$y=-6.37x+7.74$

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?

a)

-0.98

b)

-0.95

c)

0.98

d)

0.95

9.

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

a)

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

b)

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

c)

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

d)

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

10.

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

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

a)

$2\sqrt[]{28}$

b)

$8\sqrt[]{10}$

c)

$32\sqrt[]{10}$

d)

$32\sqrt[]{10}$

e)

$4\sqrt[]{40}$

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?

a)

The cost is $3.25 per hour.

b)

The cost is $3.50

c)

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

d)

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

12.

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

a)

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

b)

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

c)

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

d)

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

13.

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

a)

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

b)

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

c)

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

d)

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

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?

a)

The ball took 3 seconds to reach its maximum height.

b)

The ball took 3 seconds to reach the ground.

c)

The ball was thrown from a height of 3 feet.

d)

The ball reached a maximum height of 3 feet.

15.

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

a)

x = -13 and x = 3

b)

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

c)

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

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

d)

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

and

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

16.

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

a)

Quadratic

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

b)

Linear

$y=37x+73$

c)

Exponential

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

d)

Exponential

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

e)

Quadratic

$y=37x+73$

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.

a)

$y=-0.6x+0.9$

b)

$y=-0.9x\ +0.6$

c)

$y=\ 0.9x-0.6$

d)

$y=0.91x\ -0.55$

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.

a)

100

b)

89

c)

99

d)

79

19.

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

a)

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

b)

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

c)

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

d)

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

e)

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

20.

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

a)

-3

b)

4

c)

5

d)

-5

e)

2

21.

Factor
k²+7k+10

a)

(k+2)(k+5)

b)

(k-2)(k-5)

c)

(k+10)(k+4)

d)

(k+2)(k-5)

22.

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

a)

-1.25

b)

1.25

c)

-5

d)

-3

e)

-5.85

23.

Factor
a² - a - 12

a)

(a - 4)(a + 3)

b)

(a + 6)(a - 4)

c)

(a - 6)(a + 4)

d)

(a + 4)(a - 3)

24.

Factor x²-25

a)

( x + 5 ) ( x - 5 )

b)

( x - 5 ) ( x - 5 )

c)

( x + 5 ) ( x + 5 )

d)

Prime

EOC Boot Camp Desmos Session

Total questions: 24

Worksheet time: 30mins

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