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Algebra 1 FSA EOC Practice Test ~ Non-Calculator

Total questions: 16

Worksheet time: 3hrs 40mins

Name
Class
Date
1.

The first part of this practice test contains 15 non-calculator questions. How many non-calculator questions will there be on DAY 1 of the Algebra 1 FSA EOC?

a)

none, DAY 2 is non-calculator

b)

15

c)

34

d)

68

2.

Let f be a function such that f(x)=2x-4 is defined on the domain 2 ≤ x ≤ 6.  Determine the range of the function.

a)

-∞ ≤ y ≤ ∞

b)

0 ≤ y ≤8

c)

 0 ≤ y ≤ ∞

d)

2 ≤ y ≤ 6

3.

The amount of fertilizer in a landscaping company’s warehouse decreases at a rate of 3% per week. The amount of fertilizer in the warehouse was originally 78,000 cubic yards. Which function models the amount of fertilizer in cubic yards left after w weeks?

a)

f(w)=0.97(78,000)wf\left(w\right)=0.97\left(78,000\right)^w

b)

f(w)=78,000(0.97)wf\left(w\right)=78,000\left(0.97\right)^w

c)

f(w)=1.03(78,000)wf\left(w\right)=1.03\left(78,000\right)^w

d)

f(w)=78,000(1.03)wf\left(w\right)=78,000\left(1.03\right)^w

4.

Consider the function f(x), shown (on the left) in the xy-coordinate plane, as the parent function. The graph of a transformation of the function is shown on the right. Which expression defines the transformation shown?

a)

f(x+0)1f\left(x+0\right)-1

b)

f(x1)+0f\left(x-1\right)+0

c)

f(x+0)+1f\left(x+0\right)+1

d)

f(x+1)+0f\left(x+1\right)+0

5.

 Factor out the greatest common factor. 15x6+9x212x4+3x315x^6+9x^2-12x^4+3x^3 

a)

 3x(5x54x3+x2+3x)3x\left(5x^5-4x^3+x^2+3x\right)  

b)

 x2(15x412x2+3x+9)x^2\left(15x^4-12x^2+3x+9\right)  

c)

 3(5x64x4+x3+3x2)3\left(5x^6-4x^4+x^3+3x^2\right)  

d)

 3x2(5x44x2+x+3)3x^2\left(5x^4-4x^2+x+3\right)  

6.


Use the steps in the table to answer the question.
The table shows the first 5 steps used to solve an equation. Which statement is an incorrect explanation of a step in the process?

a)

From step 4, apply the subtraction property of equality to  x2+4x+4x^2+4x+4 and  9x9x to get  x25x+4=0x^2-5x+4=0 

b)

From step 3, apply the distributive property to  (x+2)2\left(x+2\right)^2 to get  x2+4x+4x^2+4x+4  in step 4.

c)

 From step 2, apply the distributive property to 3(x+2)23\left(x+2\right)^2  and 27x27x get (x+2)2=9x\left(x+2\right)^2=9x in step 3.

d)

From step 1, apply the subtraction property of equality to 5x5x  and 32x32x to get  3(x+2)2=27x3\left(x+2\right)^2=27x in step 2.

7.

Solve the system.
 x=y+1x=y+1  
 y=2x4y=2x-4  

a)

 (2,3)\left(2,3\right)  

b)

 (3,2)\left(3,2\right)  

c)

No Solution

d)

All Real Numbers

8.

The formula for simple interest plus starting principal P, is given below, where A represents the total amount, r is the interest rate per period, and is time.

 A = P + Prt
Which could be used to find the time t, if the amount, principal, and interest are known?

a)

 t=APPrt=A-P-\Pr  

b)

 t=APPrt=\frac{A-P}{\Pr} 

c)

 t=APrPrt=\frac{A-\Pr}{\Pr} 

d)

  t=AP+rtt=\frac{A}{P+rt}  

9.

Multiple Select: Multiply and match each of the following expressions.
 A. (xp)(x+p)A.\ \left(x-p\right)\left(x+p\right) 
 B. (x5)(x+7)B.\ \left(x-5\right)\left(x+7\right)  

 C. (x+p)(x+p)C.\ \left(x+p\right)\left(x+p\right)  

a)

 A. is  x22pxp2A.\ is\ \ x^2-2px-p^2  

b)

 A. is  x2p2A.\ is\ \ x^2-p^2  

c)

 B. is  x2+2x35B.\ is\ \ x^2+2x-35  

d)

 B. is  x22x35B.\ is\ \ x^2-2x-35  

e)

 C is  x2+2px+p2C\ is\ \ x^2+2px+p^2  

10.

Multiple Select: Determine which of the following expressions are NOT equivalent.

a)

2(n+3)=(2n+3)2\left(n+3\right)=\left(2n+3\right)

b)

10n55=2n1\frac{10n-5}{5}=2n-1

c)

(5n)2=5n2\left(5n\right)^2=5n^2

d)

(n+3)2=n2+9\left(n+3\right)^2=n^2+9

e)

2(n23n+1)(3n2+4n6)=5n210n+82\left(n^2-3n+1\right)-\left(3n^2+4n-6\right)=5n^2-10n+8

11.

Simplify the following expression: 14a4b6c108a2b3c5\frac{14a^4b^6c^{-10}}{8a^{-2}b^3c^{-5}}  


  

a)

 6a6b3c15\frac{6a^6b^3}{c^{15}}  

b)

 7a6b34c15\frac{7a^6b^3}{4c^{15}}  

c)

 6a6b3c5\frac{6a^6b^3}{c^5}  

d)

 7a6b34c5\frac{7a^6b^3}{4c^5}  

12.

An economics teacher plotted the value of a stock on 11 different days during a 500-day period and used line segments to connect them. In the graph above, the horizontal axis is measured in days and the vertical axis is measured in dollars.

Based on the graph, which of the following best describes the range of the value of stock for this 500-day period?

a)

0x5000\le x\le500

b)

1x5001\le x\le500

c)

10y6010\le y\le60

d)

0y100\le y\le10

13.

Which situation best represents causation?

a)

When the number of bus stops increases, the number of car sales decreases.

b)

When fewer firefighters report to a house fire, the damage caused by the fire decreases.

c)

When ice cream sales increase, incidents of sunburn increase.

d)

When it rains several inches, the water level of a lake increases.

14.

David is training for a marathon. He writes down the time and distance for each training run and then records the data on a scatterplot. He has drawn a line of best fit on the scatter plot, as shown. Which statement best expresses the meaning of the slope as a rate of change for this line of best fit?

a)

It represents the number of miles he will have to run to finish the marathon.

b)

It represents the average speed, in miles per hour, of his training runs.

c)

It represents the number of hours he will need to finish the marathon.

d)

It represents the distances, in miles, that he ran while he was training.

15.

Use the given table to answer the question.

The first term in this sequence is -1.

Which recursive rule represents the sequence?

a)

an=an1+1a_n=a_{n-1}+1

b)

an=2an11a_n=2a_{n-1}-1

c)

an=an1+2a_n=a_{n-1}+2

d)

an=2an13a_n=2a_{n-1}-3

16.

Which equation is represented in the graph of the function shown?

a)

f(x)=x2x6f\left(x\right)=x^2-x-6

b)

f(x)=x2x+6f\left(x\right)=x^2-x+6

c)

f(x)=x2+x6f\left(x\right)=x^2+x-6

d)

f(x)=x2+x+6f\left(x\right)=x^2+x+6