Quiz about Active EOC Math 1 Review

Question 1

Which expression is equivalent to $$x^9y^2\cdot\left(x^3\right)^6\cdot\left(y^4\right)^8?$$

Accepted Answer

$$x^{27}y^{34}$$

Answer

$$x^{81}y^{24}$$

Answer

$$x^{18}y^{14}$$

Answer

$$x^{162}y^{64}$$

Question 2

What is the x-intercept of a line that has a y-intercept of 5 and slope 5?

(Hint: y=mx+b and y=0)

Accepted Answer

-1

Answer

0

Answer

1

Answer

2

Question 3

What is the average rate of change of hte function $$y=5\left(\frac{1}{4}\right)^x$$ over the interval [-1,5]?

Accepted Answer

-3.3

Answer

5

Answer

-5

Answer

-6.6

Question 4

At the beginning of an experiment, there are 50 bacteria in a certain culture. If the number of bacteria doubles every hour, how many bacteria will be in the culture at the end of 7 hours?

Accepted Answer

6400

Answer

1600

Answer

3200

Answer

12,800

Question 5

The population of a city is increasing 4% every five years. In 1960, the population of this city was 1500 people. What will be the population of this city in 2025?

Accepted Answer

19,198

Answer

1824

Answer

2498

Answer

18,310

Question 6

What is the smallest positive integer such that the value of $$f\left(x\right)=-3x^2+8x$$ exceeds the value of $$g\left(x\right)=-7x+10$$ ?

Accepted Answer

1

Answer

2

Answer

3

Answer

4

Question 7

The population growth for a species of birds, in thousands, can be represented by the function $$p\left(t\right)=40\left(1.15\right)^t$$ , where t is the number of years since 2004. What is the approximate average rate of change of the population between the years 2007 and 2011?

Accepted Answer

11.4 thousand birds per year

Answer

9.3 thousand birds per year

Answer

18.6 thousand birds per year

Answer

20.1 thousand birds per year

Question 8

A company's profit is described by the equation $$P\left(x\right)=-5x^2+200x+1000$$ , where x is the price in dollars that the company charges for its product. What should the company charge for the product to generate the maximum profit?

Accepted Answer

$20

Answer

$30

Answer

$40

Answer

$50

Question 9

What is the y-intercept of the line that passes through the points (2, 0) and (-2, 12)?

Accepted Answer

6

Answer

4

Answer

5

Answer

7

Question 10

What is the equation that generates the sequence below?

1, 4, 7, 10, 13, ...

Accepted Answer

3n - 2

Answer

n + 3

Answer

3n + 1

Answer

3n + 4

Question 11

What are the coordinates of the vertex of the parabola $$y=x^2+8x-9?$$

Accepted Answer

(-4, -25)

Answer

(4, 39)

Answer

(8, 119)

Answer

(-8, -9)

Question 12

The price of a car is $8650. Every year its value drops by $1150. How much will the car cost in 5 years?

Accepted Answer

$2900

Answer

$4050

Answer

$1750

Answer

$600

Question 13

What are the coordinates of the x-intercepts of the graph of $$y=-2\left(x+1\right)\left(x-5\right)?$$

Accepted Answer

(-1, 0) and (5, 0)

Answer

(1, 0) and (-5, 0)

Answer

(0, 1) and (0, -5)

Answer

(0, -1) and (0, 5)

Question 14

What is the difference of $$\left(3x^2-5x+1\right)\ and\ \left(x^2-8x-1\right)?$$

Accepted Answer

$$2x^2+3x+2$$

Answer

$$2x^2-13x$$

Answer

$$4x^2-13x-2$$

Answer

$$2x^2+3x$$

Question 15

What is the equation of a line that has a slope of 4 and passes through the point (-1, 2)?

Accepted Answer

y = 4x + 6

Answer

y = 4x + 4

Answer

y = 4x + 5

Answer

y = 4x + 7

Question 16

Tara opened a savings account by making an initial deposit. Each month thereafter, she deposits money at a constant rate into the account. After 5 months she has $287 and after 9 months she has $427 in her savings account. What was Tara's initial deposit?

Accepted Answer

$112

Answer

$138

Answer

$140

Answer

$147

Question 17

Which expression is equivalent to $$\left(3c^2\right)^{-4}\cdot\left(9c^5\right)^2?$$

Accepted Answer

$$c^2$$

Answer

$$-216c^2$$

Answer

$$6c^2$$

Answer

$$\frac{6}{c^2}$$

Question 18

What is the slope of the line that passes through the points (-3, -8) and (7, 14)?

Accepted Answer

$$\frac{11}{5}$$

Answer

$$-\frac{11}{5}$$

Answer

$$-\frac{5}{11}$$

Answer

$$\frac{5}{11}$$

Question 19

The graph of $$f\left(x\right)=4x+8$$ forms a triangle with the x and y axis. What is the area of this triangle?

Accepted Answer

8

Answer

4

Answer

16

Answer

32

Question 20

The graph of the function $$f\left(x\right)=32\left(0.5\right)^x\ and\ g\left(x\right)=15x+10$$ , what is the value of the expression f(3) + g(4)?

Accepted Answer

74

Answer

59

Answer

108

Answer

118

Question 21

What is the solution of the inequality: $$7x-8>3x+12?$$

Accepted Answer

x > 5

Answer

x > 1

Answer

x < 1

Answer

x < -5

Question 22

If $$\frac{x^5y^{-3}z^r}{x^my^{-6}z^4}=x^{10}y^tx^4,\ what\ is\ the\ value\ of\ m+r+t?$$

Accepted Answer

6

Answer

2

Answer

8

Answer

10

Question 23

The width of a rectangle is x and the length is (x + 3). If the width of the rectangle is increased by 2 and the length is decreased by 5, what is the area of the new rectangle in terms x?

Accepted Answer

$$x^2-4$$

Answer

$$x^2-4x-4$$

Answer

$$x^2+3x$$

Answer

$$x^2$$

Question 24

What is the value of u that makes the equation true: $$\frac{5}{2}\left(4u-8\right)=8u+14?$$

Accepted Answer

17

Answer

-3

Answer

-1/3

Answer

3

Question 25

if $$\left(9x^2+7x-3\right)-\left(3x^2+4x-1\right)=ax^2+bx+c$$ , what is the value of a + b + c?

Accepted Answer

7

Answer

5

Answer

13

Answer

15

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