Free Printable Final Test Review

1.

Find the LCM of 7 and 10.

a)

49

b)

70

c)

140

d)

80

2.

Find the real numbers that satisfy the equation below.

$\left|x\right|=21.2$

a)

x=21

b)

x=-21.2

c)

x=21.2

d)

x=-21

3.

Perform the indicated operation.

124.99+79.63+6.62

(a)

4.

Find the following difference.

$-14-\left(-13\right)$

(a)

5.

Perform the indicated operation and simplify your answer.

$\frac{-21}{5}\div-56$

a)

$\frac{1176}{5}$

b)

$\frac{-280}{21}$

c)

$\frac{3}{40}$

d)

$\frac{1}{7}$

6.

Find the value of the following expression using the rules for order of operations.

$(-1)\left(4\right)+(9-2)^2$

(a)

7.

Solve the following linear equation. Express your answer as an integer or a simplified fraction.

$10w-8=2(5w-4)$

a)

One solution.

w = 4

b)

No Solution.

c)

One solution.

w = -12

d)

All Real Numbers.

8.

81 less than four times a number is equal to the number. What is the number?

a)

27

b)

-19

c)

80

d)

34

9.

Consider the following inequality:

$2z+2>6$

Solve the linear inequality for the given variable.

a) Simplify and express your answer in algebraic notation.

b) Graph the solution to the given inequality.

a)

b)

c)

d)

10.

Identify the coordinates of the A, B, and C on the graph.

a)

A (0, 1)

B (-1, 4)

C (2, 5)

b)

A (0, 1)

B (4, -1)

C (-5, 2)

c)

A (1, 0)

B (-1, -4)

C (5, 2)

d)

A (1, 0)

B (4, 1)

C (-5, -2)

11.

Consider the following equation:

$4x+5y=12$

Determine the missing coordinate in the ordered pair (1/2, y) so that it will satisfy the given equation. What does y equal?

(a)

12.

Find the x-intercept and y-intercept of the following linear equation.

$-6x-2y=6$

a)

x-intercept:

(1, 0)

y-intercept:

(3, 0)

b)

x-intercept:

(0, -3)

y-intercept:

(-1, 0)

c)

x-intercept:

(0, -1)

y-intercept:

( 0, 3)

d)

x-intercept:

(-1, 0)

y-intercept:

(0, -3)

13.

Consider the graph and the given points.

$A(3,1),\ B(-6,7)$

Determine the equation of the line in y=mx+b form, where m is your slope and b is your y-intercept.

a)

$y=\frac{-6}{9}x+4\frac{1}{2}$

b)

$y=\frac{3}{2}x+3$

c)

$y=-\frac{2}{3}x+3$

d)

$y=-\frac{9}{6}x-3$

14.

Consider the following relation.

$\left\{(0,5),(5,7),(-1,-3),(5,-1),(4,-4),(4,3)\right\}$ a) Determine the values of the domain and range. Repeated values should only be written once.

b) Does the relation represent a function?

a)

D: (-1, 0, 4, 5)

R: (-4, -3, -1, 3, 5, 7)

The relation is not a funciton.

b)

D: (-4, -3, -1)

R: (-1, 3, 4, 7)

The relation is not a funciton.

c)

D: (-4, -3, -1, 3, 5, 7)

R: (-1, 0, 4, 5)

The relation is a funciton.

d)

D: (0, 3, 5, 7)

R: (-3, -1, 3, 4, 5)

The relation is not a funciton.

15.

Simplify the expression using the properties of exponents. Expand any numerical portion of your answer and only include positive exponents.

$x^{-3}\cdot x^{-3}\cdot x^2$

a)

$x^{-4}$

b)

$\frac{1}{x^4}$

c)

$x^{18}$

16.

Simplify the expression using the properties of exponents. Expand any numerical portion of your answer and only include positive exponents.

$\left(\frac{x^4}{y}\right)^3$

a)

$\frac{x^7}{y^4}$

b)

$\frac{x^{12}}{y}$

c)

$\frac{x^{12}}{y^3}$

17.

Write $0.000397$ in scientific notation.

a)

$39.7\times10^{-5}$

b)

$4\times10^{-4}$

c)

$4\times10^4$

d)

$3.97\times10^{-4}$

18.

Perform the indicated operation by removing the parentheses and combining like terms.

$(-3x^2+x)+(5x^2+5x)$

a)

$-2x^2+10x$

b)

$2x^2+6x$

c)

$-15x^4+5x^2$

19.

Perform the indicated operation by removing the parentheses and combining like terms.

$(-7x^2-2x)-(3x^2-4x)$

a)

$-10x^2+2x$

b)

$-21x^4+8x^2$

c)

$-4x^2-6x$

20.

Find the product of the binomials.

$(3x+1)(5x+1)$

a)

$15x^2+1$

b)

$15x^2+8x+1$

c)

$8x+2$

d)

$15x^2+5x+3$

21.

Divide using the division algorithm. Write your answer in the form Q + R/D where the degree of R is less than the degree of D.

$\frac{6y^2+3y+4}{2y+1}$

a)

$3y+\frac{2}{2y+1}$

b)

$3y+\frac{4}{2y+1}$

c)

$-3y-\frac{4}{2y+1}$

22.

Factor the given polynomial by finding the greatest common monomial factor (or the negative of the greatest common monomial factor) and rewrite the expression.

$33xy-3y^2$

a)

$3y\left(11x-y\right)$

b)

$y\left(33x-3y\right)$

c)

$3\left(11xy-y^2\right)$

d)

$3y\left(11x-1\right)$

23.

Completely factor the expression by grouping, if possible.

$12b^3+15b^2-4b-5$

a)

$\left(b^2-3\right)\left(12b+15\right)$

b)

$\left(3b+1\right)\left(-4b-5\right)$

c)

$\left(3b^2-1\right)\left(4b+5\right)$

d)

Not factorable.

24.

Completely factor the polynomial, if possible.

$4-12x+9x^2$

a)

$\left(3x-2\right)^2$

b)

Not factorable.

c)

$\left(3x-2\right)\left(3x+2\right)$

d)

$\left(2x+3\right)^2$

25.

Solve the following equation. Write your answer in reduced fraction form, if necessary.

$(x-3)^2=0$

What does x equal?

(a)

26.

Consider the equation:

$y=\frac{1}{4}(x+1)^2-1$

a) Does the graph open upward or downward?

b) What is the vertex?

c) Is this graph wider or narrower than $y=2(x+1)^2-1$ ?

a)

a) Upward

b) (1, -1)

c) Narrower

b)

a) Downward

b) (1/4, 1)

c) Wider

c)

a) Upward

b) (-1, -1)

c) Wider

27.

A ball is thrown vertically upward from the ground with an initial velocity of $107\ \frac{ft}{\sec}$ . Use $h=-16t^2+v_0t+h_0$ .

a) When will the ball reach its maximum height?

b) What is the maximum height?

Round answers to two decimal places, if necessary.

a)

a) t = 2.63 seconds

b) h = 150.97 feet

b)

a) t = 3.34 seconds

b) h = 178.89 feet

c)

a) t = 3.56 seconds

b) h = 162.45 feet

d)

a) t = 4.52 seconds

b) h = 194.67 feet

28.

Do you feel prepared for your final exam?

a)

Yes. I could take the exam right now.

b)

I still need to review more to feel fully prepared.

c)

I do not feel prepared at all and should probably seek help before our exam.

Final Test Review

Total questions: 28

Worksheet time: 56mins

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