Free Printable Algebra - Final Exam Review HW #2

1.

In a direct variation, y=39 when x=3. Find the value of y when x=2.

a)

26

b)

3

c)

58.5

d)

2

2.

y varies directly with x, and y is 16 when x is 32. Which equation represents this situation?

a)

y=32x

b)

y=16x

c)

y=2x

d)

y=(1/2)x

3.

Is this a direct variation?

a)

yes

b)

no

4.

Is this a direct variation?

a)

yes

b)

no

5.

Solve for y:
5x - y = 16

a)

-y = 5x + 16

b)

y = 5x + 16

c)

x = 5y - 16

d)

y = 5x - 16

6.

ax + c = R
(solve for x)

a)

ax = R + c

b)

ax = R - c

c)

x = a(R-c)

d)

x = (R-c) / a

7.

Solve the equation for w. ^{x = w / a}

a)

w = a / x

b)

w = x / a

c)

w = ax

d)

x = wa

8.

pV = nRT

solve for R

a)

R= p/n + V/T

b)

R= pV - nT

c)

R= (pV-n)/T

d)

R=pV/nT

9.

Solve for p
$A\ =\ \frac{1}{2}pa$

a)

$A-\frac{1}{2}a\ =\ p$

b)

$\frac{2A}{a}=p$

c)

$\frac{A}{2a}=p$

d)

$2A-a\ =\ p$

10.

Solve for d
$C\ =\ \pi d$

a)

$C\ -\ \pi=d$

b)

$C\ +\ \pi=d$

c)

$\pi C=d$

d)

$\frac{C}{\pi}=d$

11.

Solve for h:
$V\ =\ \frac{1}{3}\pi r^2h$

a)

$\frac{3V}{\pi r^2}=h$

b)

$\frac{1}{3}V\ -\pi r^2=h$

c)

$3V\ -\ \pi r^2=h$

d)

$\frac{1}{3}V\pi r^2=h$

12.

What are the zeros of the function f(x) = x² — 13x — 30?

a)

—10 and 3

b)

10 and —3

c)

—15 and 2

d)

15 and —2

13.

What is one point that lies in the solution set of the system of inequalities graphed?

a)

(0, 4)

b)

(-4, 1)

c)

(2, 4)

d)

(4, -1)

14.

Which function represents exponential decay?

a)

f(x) = 100(0.9)^x

b)

f(x) = 10(1.09)^x

c)

f(x) = 1.9^x

d)

f(x) = ½(9)^x

15.

Given f(x) = -4x - 10 and f(x) = 10. Find x

a)

x = -5

b)

x = 5

c)

x = -50

d)

x = 30

16.

What are the x- intercepts?

a)

x= 0 and x= -4

b)

x= 0 and x= 4

c)

y= 0

d)

x= 2

17.

How many solutions does this graph have?

a)

one

b)

two

c)

no solutions

d)

cannot be determined

18.

What is the equation for this line?

a)

y = x - 2

b)

y = x + 2

c)

y = 2x

d)

y = -x + 2

19.

Find the solution to the following inequality:

6(x - 5) < 7x - 4

a)

x ≥ 26

b)

x > -26

c)

x < -26

d)

-x > 26

20.

If A = 3x² - 6x and B = 12x- 6x², what is B - A?

a)

-9x² + 18x

b)

9x² - 18x

c)

-3x² + 6x

d)

-3x²

21.

What is the range of the graph?

a)

y≥1

b)

x≥1

c)

All real numbers

d)

none of these

22.

Which function defines the sequence -6, -10, -14, -18, ..., where f(6) = -26?

a)

f(x) = -4x - 2

b)

f(x) = 4x - 2

c)

f(x) = -x + 32

d)

f(x) = x - 26

23.

Which value of x is a solution of the inequality 25x - 100 < 250?

a)

13

b)

14

c)

15

d)

16

24.

If f(n) = (n -1)² + 3n, which statement is true?

a)

f(3) = -2

b)

f(-2) = 3

c)

f(-2) = -15

d)

f(-15) = -2

25.

What point is the intersection of the graphs of the lines 2x - y = 3 and x + y = 3?

a)

(3, 3)

b)

(1, 2)

c)

(3, 0)

d)

(2, 1)

26.

Pick two topics you'd like to review ... no right/wrong answers!

a)

Percentages

b)

Literal Equations (when the whole equation is variables, getting one variable alone)

c)

Ratios, Rates, Proportions

d)

Similar Figures

27.

Pick two topics you'd like to review ... no right/wrong answers!

a)

Solving and graphing multi-step inequalities

b)

Solving and graphing compound inequalities

c)

Solving absolute value equations and inequalities

d)

Sets (subsets, unions, intersections)

28.

Pick two topics you'd like to review ... no right/wrong answers!

a)

Slope and y-intercept

b)

Writing and graphing the equation of a line

c)

Parallel and perpendicular lines

d)

Functions vs relations

29.

Pick two topics you'd like to review ... no right/wrong answers!

a)

Arithmetic Sequences

b)

Geometric Sequences

c)

Systems of Equations - substitution & elimination

d)

Systems of Equations - graphing

30.

Pick two topics you'd like to review ... no right/wrong answers!

a)

Systems of Equations Word Problems

b)

Linear Inequalities - just one graph

c)

Systems of Linear Inequalities - multiple graphs

d)

Linear Inequalities Word Problems

31.

Pick two topics you'd like to review ... no right/wrong answers!

a)

Exponent Rules

b)

Exponential Functions

c)

Factoring

d)

Polynomials - Adding/Subtracting, Degrees, Identifying

32.

Questions for Ms. Flanagan?!

4 lines

33.

What is your FAVORITE MEAL?!

4 lines

34.

Any other topics you REALLY WANT to review?!

4 lines

35.

What would be your superhero name and power?!

4 lines

Algebra - Final Exam Review HW #2

Total questions: 35

Worksheet time: 2hrs 14mins

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