Free Printable #2 Algebra Final Exam Review (Modules 5

1.

A particular type of cell doubles in number every hour. Which function can be used to find the number of cells (n) present at the end of h hours if there are initially 4 of these cells?

a)

$n=4\left(\frac{1}{2}\right)^h$

b)

$n=4\left(2\right)^h$

c)

$n=4+\left(2\right)^h$

d)

$n=4+\left(\frac{1}{2}\right)^h$

2.

Which graph best represents the solution set of y ≤ -4x?

a)

b)

c)

d)

3.

What type of function is this: y = a(b)^x

a)

Linear

b)

Quadratic

c)

Exponential

d)

Rational

4.

Consider the system of equations below.

$x+y=6$

$y=-x+2$

Which statement correctly describes the graphs of these equations?

a)

The lines are parallel

b)

They are the same line

c)

The lines intersect at (2, 4)

d)

The lines intersect at (-2, 8)

5.

State whether the equation represents exponential growth, exponential decay, or neither.

f (x) = 5 • 0.3^x

a)

Exponential growth

b)

neither

c)

Exponential decay

6.

Are these two lines parallel, perpendicular or neither?

$y=-\frac{1}{4}x-5$

$y=4x+2$

a)

Parallel

b)

Perpendicular

c)

Neither

7.

Write the following equation in slope-intercept form:
$4x-3y=12$

a)

$y=-\frac{4}{3}x+3$

b)

$y=-4x+12$

c)

$y=\frac{4}{3}x-4$

d)

$y=\frac{4}{3}x-12$

8.

The senior class at Rivermont High School rented and filled 11 vans and 3 buses with 283 students. The senior class at Washington High School rented and filled 12 vans and 14 buses with 770 students. Which system of equations solves this problem to show how many students were in each van and each bus?

a)

11v + 3b = 283

12v + 14b = 770

b)

v + b = 14

v + b = 16

c)

11v + 12v = 283

3b + 14b = 770

d)

v + b = 30

23v + 17b = 1053

9.

Which of the following functions shows an initial amount of $15 and an increase of 35% each year?

a)

y = 15(35)^x

b)

y = 15(1.35)^x

c)

y = 15(0.35)^x

d)

y = 35(1.15)^x

10.

Which system of inequality is shown?

a)

y > -4/5x - 1
y ≤ 2/3x + 3

b)

y ≥ -4/5x - 1
y ≤ 2/3x + 3

c)

y < -4/5x - 1
y < 2/3x + 3

d)

y = -4/5x - 1
y ≥ 2/3x + 3

11.

Estimate the correlation coefficient for this scatterplot.

a)

A) r = 0.12

b)

B) r = 0.89

c)

C) r = 0

d)

D) r = -0.89

12.

Write the explicit formula for the geometric sequence.

a)

a_n = 4(3)^n-1

b)

a_n = 3(4)^n-1

c)

a_n = -4(3)^n-1

d)

a_n = 3(-4)^n-1

13.

What is the solution?

a)

No solution

b)

(0, 2)

c)

(0, -4)

d)

(3, -3)

14.

How do you know that this is exponential decay? $f\left(x\right)=\ 25\left(0.20\right)^x$

a)

Because 25 is bigger than one

b)

Because 0.20 is bigger than one

c)

Because 25 is less than one

d)

Because 0.20 is less than one

15.

Determine whether the sequence is arithmetic, geometric, or neither.

a)

arithmetic

b)

geometric

c)

neither

16.

Solve the system of equations.
y = 4x+1
3x + 2y = 13

a)

(1, 5)

b)

(5, 1)

c)

(0.25, 2)

d)

∅

17.

What is the inverse of the given coordinates: (1, 2) (3, 8) (-3, 6)

a)

(1, 2) (3, 8) (-3, 6)

b)

(1, 2) (8, 3) (-3, 6)

c)

(-1, -2) (-3, -8) (3, -6)

d)

(2, 1) (8, 3) (6, -3)

18.

Describe the relationship between the variables.

a)

Weak positive correlation

b)

Weak negative correlation

c)

Strong positive correlation

d)

Strong negative correlation

19.

Use the graphs of f and g to describe the transformation from the graph of f to the graph of g.

a)

Graph g is reflected and steeper by a factor of 3

b)

Graph g is only steeper by a factor of 3

c)

Graph g is reflected and translated down 3 units

d)

Graph g is only reflected

20.

Solve:

5x + 7y = 3

2x + 3y = 1

a)

(2, 1)

b)

(1, -2)

c)

(2, -1)

d)

(-1, 2)

21.

Identify the inequality.

a)

y > x+1

b)

y ≤ 1x+1

c)

y ≥ x+1

d)

y ≤ x-1

22.

Select the correct inequality for the graph.

a)

-1 ≤ x < 6

b)

1 ≤ x < 6

c)

1 < x ≤ 6

d)

x ≤ 1 or x > 6

23.

Your family needs 2 gallons of water this week, but you don’t want to buy any more than 8 gallons. Write an inequality representing the possible gallons of water you could buy this week.

a)

2 ≤ x ≤ 8

b)

2< x < 8

c)

8 ≥ x ≥ 2

d)

2> x > 8

24.

The talent show committee sold a total of 530 tickets in advance. Student tickets cost $3 each and the adult tickets cost $4 each. If the total receipts were $1740, which system could be used to find how many of each type of ticket were sold?

a)

S + A = 530
3S + 4A = 1740

b)

S + A = 530
4S + 3A = 1740

c)

S + A = 1740
3S + 4A = 530

d)

S + A = 1740
4S + 3A = 530

25.

Find the inverse of $f(x)=-4x-12.$

a)

$f^{-1}(x)=4x-3$

b)

$f^{-1}(x)=-\frac{1}{4}x-3$

c)

$f^{-1}(x)=\frac{1}{4}x+3$

d)

$f^{-1}(x)=-4x-3$

#2 Algebra Final Exam Review (Modules 5 - 9)

Total questions: 25

Worksheet time: 1hrs 18mins

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