Free Printable Algebra 1 Review Final Exam

1.

Scientists studied a deer population for 10 years. They generated the function $f\left(x\right)=248\left(1.15\right)^x$ to approximate the number of deer in the population x years after beginning the study. About how many deer are in the population 3 years after beginning the study?

a)

251

b)

377

c)

856

d)

1,003

2.

Yui makes a list of the balances in her savings account at the end of each month. She notices that each month's total is 5% greater than the previous month's total. She writes a recursive formula to describe the account balances.

Which value should she use as the common ratio?

a)

0.05

b)

0.5

c)

1.05

d)

5.0

3.

Use the graph of the quadratic function $y=-\frac{1}{2}x^2+x+4$ to answer the question.

What are the zeros of the function?

a)

-2 and 4

b)

4 and 0

c)

4 and -4

d)

-8 and -4

4.

Which function could be represented by the graph on the coordinate plane?

a)

$f\left(x\right)=\left(x-8\right)^2+6$

b)

$f\left(x\right)=\left(x+8\right)^2+6$

c)

$f\left(x\right)=\left(x+8\right)^2-6$

d)

$f\left(x\right)=\left(x-8\right)^2-6$

5.

Rounded to the nearest hundredth, what is the positive solution to the quadratic equation $0=2x^2+3x-8$ ?

Quadratic Formula:

x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}

a)

1.39

b)

2.00

c)

2.89

d)

3.50

6.

Which of the following are factors of $x^2-4x-5$ ? Select two options.

a)

$\left(x-5\right)$

b)

$\left(x-4\right)$

c)

$\left(x-2\right)$

d)

$\left(x+1\right)$

e)

$\left(x+5\right)$

7.

Which shows one way to determine the factors of $4x^3+x^2-8x-2$ by grouping?

a)

$x^2\left(4x+1\right)-2\left(4x+1\right)$

b)

$x^2\left(4x-1\right)+2\left(4x-1\right)$

c)

$4x^2\left(x+2\right)-1\left(x+2\right)$

d)

$4x^2\left(x-2\right)-1\left(x-2\right)$

8.

Mario invested $6,000 in an account that pays 5% annual interest compounded annually. Using the formula $A=p\left(1+r\right)^t$ , what is the approximate value of the account after 2.5 years?

a)

$6,075

b)

$6,118

c)

$6,456

d)

$6,778

9.

Which system of linear inequalities is represented by the graph?

a)

$y\ge x-2$ and $x-2y<4$

b)

$y\ge x+2$ and $x+2y<4$

c)

$y\ge x-2$ and $x+2y<4$

d)

$y>x-2$ and $x+2y<-4$

10.

What is the solution to this system of linear equations?

7x-2y=-6

8x+y=3

a)

(-6, 3)

b)

(0, 3)

c)

(1, -5)

d)

(15, -1)

Algebra 1 Review Final Exam

Total questions: 10

Worksheet time: 5mins

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