Free Printable Algebra I Semester 1 (Final Review)

1.

If $f\left(x\right)=2x+5$ , what is the value of $f\left(8\right)$

a)

$f\left(8\right)=15$

b)

$f\left(8\right)=21$

c)

$f\left(8\right)=24$

d)

$f\left(8\right)=19$

2.

Which of the following represents a relation that IS a function

a)

b)

c)

d)

3.

What is the value of $f\left(2\right)$ when $f\left(x\right)=x^2+2x+2$

a)

8

b)

10

c)

12

d)

14

4.

If the function $f\left(x\right)=x^2-2$ has a domain of $\left\{1,2,3,4,5\right\}$ what is the range?

a)

$\left\{-1,2,8,17,21\right\}$

b)

$\left\{-1,5,15,22,54\right\}$

c)

$\left\{-1,15,22,36,56,88\right\}$

d)

$\left\{-1,2,7,14,23\right\}$

5.

Solve for x: $x-3\left(4-x\right)=8$

a)

$x=5$

b)

$x=-1$

c)

$x=-5$

d)

$x=-2$

6.

Solve for x: $3\left(x+5\right)=5\left(x+12\right)-13\left(x+1\right)-2$

a)

$x=5$

b)

$x=6$

c)

$x=7$

d)

$x=8$

7.

Consider the function represented by the recursive formula below: $f\left(1\right)=5$ and $f\left(n\right)=f\left(n-1\right)+7$ . Which of the following equations represent the explicit formula for the function $f\left(n\right)$ ?

a)

$f\left(n\right)=2\left(7\right)^n$

b)

$f\left(n\right)=7n-2$

c)

$f\left(n\right)=7n+5$

d)

$f\left(n\right)=5\left(7\right)^n$

8.

Consider the function written in explicit form: $f\left(n\right)=4n+2$ with domain $n\ge1$ . Select the equivalent recursively defined function.

a)

$f\left(n\right)=f\left(n-1\right)+2,\ f\left(1\right)=6$

b)

$f\left(n\right)=2\cdot f\left(n-1\right),\ f\left(1\right)=6$

c)

$f\left(n\right)=4\cdot f\left(n-1\right),\ f\left(1\right)=6$

d)

$f\left(n\right)=f\left(n-1\right)+4,\ f\left(1\right)=6$

9.

Solve the system of equations by substitution:

a)

$\left(5,-1\right)$

b)

$\left(2,-1\right)$

c)

$\left(6,-1\right)$

d)

$\left(3,2\right)$

10.

Solve the system of equations by elimination:

a)

$\left(-\frac{1}{3},\frac{4}{3}\right)$

b)

$\left(\frac{1}{9},\frac{4}{3}\right)$

c)

$\left(-\frac{1}{3},\frac{16}{3}\right)$

d)

$\left(-2,2\right)$

11.

Select ALL the equations that could represent the linear function shown in the graph.

a)

$y-2x=4$

b)

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

c)

$y-2=2\left(x+1\right)$

d)

$y=4x+4$

12.

Select ALL of the functions below that could represent the graph.

a)

$f\left(x\right)=\left(2\right)^x$

b)

$f\left(x\right)=\left(0.5\right)^x$

c)

$f\left(x\right)=\left(.25\right)^x$

d)

$f\left(x\right)=\left(4\right)^x$

13.

If $g\left(x\right)=3x-12$ , what is the value of $g\left(-3\right)$

a)

$g\left(-3\right)=-3$

b)

$g\left(-3\right)=-21$

c)

$g\left(-3\right)=-4$

d)

$g\left(-3\right)=0$

14.

Solve for x: $-5\left(x-1\right)=5+5\left(4-3x\right)$

a)

$x=4$

b)

$x=3$

c)

$x=2$

d)

$x=-3$

15.

Given the Recursive Formula, $f\left(n\right)=f\left(n-1\right)+6$ where $f\left(1\right)=0$ , find $f\left(6\right)$

a)

$f\left(6\right)=36$

b)

$f\left(6\right)=30$

c)

$f\left(6\right)=42$

d)

$f\left(x\right)=24$

16.

What day is the FINAL for this class?

a)

Mon, Jan 20th

b)

Tues, Jan 21st

c)

Wed, Jan 22nd

d)

Thurs, Jan 23rd

e)

Fri, Jan 24th

Algebra I Semester 1 (Final Review)

Total questions: 16

Worksheet time: 4hrs 0mins

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