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Algebra 1 FSA EOC Practice Test ~ Calculator

Total questions: 19

Worksheet time: 2hrs 24mins

Name
Class
Date
1.

The second part of this practice test contains 18 calculator questions. How many calculator questions will there be on DAY 2 of the Algebra 1 FSA EOC?

a)

none, DAY 1 is calculator

b)

15

c)

34

d)

68

2.

Solve and graph the solution(s) of the inequality. Select all that apply.

8+|x+4|-5 ≥ 22

a)

x23x\le-23

b)

x15x\ge15

c)

x23x\ge-23

d)

All real numbers

e)

No Solution

3.

Solve for x.

3(2x-1) -10 = 8+5x

4 lines
4.

Two friends went to a restaurant and ordered one plain pizza and two sodas. Their total bill was $15.95. Later that day, five friends went to the same restaurant. They ordered three plain pizzas and each person had one soda. Their total bill was $45.90. Let x represent the price for each pizza and y represent the price for each soda. Write and solve a system of equations to determine the price of one plain pizza.   Select all that apply.

a)

 x+2y=45.90x+2y=45.90   3x+5y=15.953x+5y=15.95  

b)

 3x+5y=45.903x+5y=45.90   2x+y=15.952x+y=15.95  

c)

 x+2y=15.95x+2y=15.95   3x+5y=45.903x+5y=45.90  

d)

price for one pizza is $1.95

e)

price for one pizza is $12.05

5.

Without graphing, which point is a solution to the system below?

2y < -12x+4

y < -6x+4

a)

(0,6)

b)

(12, 5)\left(-\frac{1}{2},\ 5\right)

c)

(-3, 2)

d)

(1, 12)\left(1,\ \frac{1}{2}\right)

6.

Which point is NOT on the graph represented by y=x22x+8y=-x^2-2x+8 

a)

(2, 0)

b)

(4, 0)

c)

(-4, 0)

d)

 (-1, 9)

e)

(0, 8)

7.

The method of completing the square was used to solve the equation below.

 2x212x+6=02x^2-12x+6=0  

Which equation is a correct step when using this method?

a)

 (x3)2=6\left(x-3\right)^2=6  

b)

 (x3)2=6\left(x-3\right)^2=-6 

c)

 (x3)2=3\left(x-3\right)^2=3  

d)

 (x3)2=3\left(x-3\right)^2=-3  

8.

Lava coming from the eruption of a volcano follows a parabolic path. The height h in feet of lava t seconds after it is ejected from the volcano is given by h(t)=t2+16t+936h\left(t\right)=-t^2+16t+936  

After how many seconds does the lava reach its maximum height of 1000 feet?

a)

3 seconds

b)

5 seconds

c)

6 seconds

d)

8 seconds

e)

Not possible, the maximum height is less than 1000 feet.

9.

Consider the quadratic function: f(x)=2x2+8x10f\left(x\right)=2x^2+8x-10  

Determine the vertex form and the equation for the axis of symmetry of the given function.

a)

 f(x)=2(x+2)218;  x=2f\left(x\right)=2\left(x+2\right)^2-18;\ \ x=-2  

b)

 f(x)=(x+2)218;  x=2f\left(x\right)=\left(x+2\right)^2-18;\ \ x=2  

c)

 f(x)=2(x+2)22;  x=2f\left(x\right)=2\left(x+2\right)^2-2;\ \ x=-2  

d)

 f(x)=(x+2)218;  x=2f\left(x\right)=\left(x+2\right)^2-18;\ \ x=2  

e)

 f(x)=2(x+2)214;  x=2f\left(x\right)=2\left(x+2\right)^2-14;\ \ x=-2  

10.

Consider the quadratic function: f(x)=2x2+8x10f\left(x\right)=2x^2+8x-10  

Determine whether the given function has a minimum or maximum value and the factored form of the function.

a)

Minimum; f(x)=2(x1)(x5)f\left(x\right)=2\left(x-1\right)\left(x-5\right)  

b)

Minimum;  f(x)=2(x+1)(x+5)f\left(x\right)=2\left(x+1\right)\left(x+5\right)  

c)

Maximum;  f(x)=2(x1)(x5)f\left(x\right)=2\left(x-1\right)\left(x-5\right)  

d)

Minimum;  f(x)=2(x+1)(x+5)f\left(x\right)=2\left(x+1\right)\left(x+5\right)  

e)

Minimum;  f(x)=2(x+1)(x5)f\left(x\right)=2\left(x+1\right)\left(x-5\right)  

11.

Consider the quadratic function: f(x)=2x2+8x10f\left(x\right)=2x^2+8x-10  

Determine the x-intercept(s) (zeros) and y-intercept(s)s of the given function. Select all that apply.

a)

 (1,0)\left(-1,0\right)  

b)

 (5,0)\left(5,0\right)  

c)

 (5,0)\left(-5,0\right)  

d)

 (0, 10)\left(0,\ -10\right)  

e)

 (10,0)\left(-10,0\right)  

12.

Consider the quadratic function: f(x)=2x2+8x10f\left(x\right)=2x^2+8x-10  

Determine the domain and range of the given function. Select all that apply.

a)

Domain:  (, )\left(-\infty,\ \infty\right)  

b)

Domain: All Real Numbers

c)

Domain:  x0x\ge0  

d)

Range:  y18y\le-18  

e)

Range:  [18, )\left[-18,\ \infty\right)  

13.

The given table is a quadratic function, g(x), where x is measured in seconds, s and g(x) is measured in meters, m.

What is the approximate rate of change over the interval

0 ≤ x ≤ 4?

a)

22.8 m/s

b)

8.7 m/s

c)

6.3 m/s

d)

5.7 m/s

14.

If f(1) = 3 and f(n) = -2f(n-1) + 1, then what is f(5)?

4 lines
15.

Solve the following system by using the elimination method.

4x-2y=4

2x+y=6

a)

(2, 2)

b)

No Solution

c)

All Real Numbers

d)

(4, -2)

e)

(0, -2)

16.

A certain population of bacteria has an average growth rate of 0.02 bacteria per hour. The formula for the growth of the bacteria’s population is A=P0(2.71828)0.02tA=P_0\left(2.71828\right)^{0.02t} 
where  P0P_0 is the original population, and tt is the time in hours. If you begin with 200 bacteria, about how many bacteria will there be after 100 hours?  Round your answer to the nearest whole number.

a)

1477

b)

1478

c)

5459

d)

5460

17.

Given the function  f(x)f\left(x\right) .  

Evaluate  f(10)+f(4)f\left(-10\right)+f\left(4\right) .  

a)

11

b)

15

c)

1

d)

-2

18.

Solve the following absolute value equation. Select ALL that apply.

 255x5=732-5\left|5x-5\right|=-73 

a)

 x=2x=-2  

b)

 x=0x=0  

c)

 x=2x=2  

d)

 x=4x=4  

e)

No solution

19.

Use the quadratic formula to solve the following quadratic. Round your answer to the tenths place.  Select ALL that apply.
 10𝑥2+5𝑥+9=0−10𝑥^2+5𝑥+9=0  

a)

 x=1.2x=-1.2 

b)

 x=0.7x=-0.7  

c)

 x=0x=0  

d)

 x=0.7x=0.7  

e)

 x=1.2x=1.2