Intermediate Algebra Chapter 5 Exam Review, Exams of Algebra

A review for the chapter 5 exam of an intermediate algebra course, containing exercises related to adding, subtracting, multiplying, dividing, and factoring polynomials, solving equations, finding the area of a shaded region, and matching equations to their graphs using x-intercepts. It also includes real-world problems related to the pythagorean theorem and the dimensions of a room and a ladder.

Typology: Exams

2012/2013

Uploaded on 01/07/2013

chand
chand 🇮🇳

4.4

(7)

31 documents

1 / 7

Toggle sidebar

This page cannot be seen from the preview

Don't miss anything!

bg1
Intermediate
Algebra
Chapter
5
Exam Review Name
1. Indicate whether
monomial, binomial,
or
trinomial,
and
state
the degree:
2.
Add:
Type
of
polynomial
JQM3C<^<^\
(5x'-lx'+3x-4)
+
{5x'+-x-5)
,3^
Degree
of
polynomial
3.
Subtract:
(x'--x +
9)4(v5Jc'+•'2x-^-)
5. Multiply:
\6X^-"V-
2(5;c^-7v)'
V
±.
4.
Multi
^x(9x'+6x)
6.
Multiply:
[2i
+
(3^
+
l)l[2i-(3^
+
l)]
7. Multiply:
(2a
+ 36)(4a'-6aZ>+%')
8,
Divide:
\" -VI
J-2
- i -2.
9. Divide using long division:
4x' - Ux'
+
2x^
+
9x-3
10. Divide using
synthet
6x'
+
5x'-lx
+
2
ig
SYnttietic aivision:
2^'-3 _ . I
2
x
3
6
q -50
Docsity.com
pf3
pf4
pf5

Partial preview of the text

Download Intermediate Algebra Chapter 5 Exam Review and more Exams Algebra in PDF only on Docsity!

Intermediate Algebra Chapter 5 Exam Review Name

  1. Indicate whether monomial, binomial, or trinomial, and state the degree: 2. Add:

Type of polynomial JQM3C<^<^\

(5x'-lx'+3x-4) + {5x'+-x-5) ,3^

Degree of polynomial

  1. Subtract: ( x ' - - x + 9)4(v5Jc'+•'2x-^-)

5. Multiply: \ 6 X ^ - " V -

2 ( 5 ; c ^ - 7 v ) ' V ±.

  1. Multi ^ x ( 9 x ' + 6 x )
  2. Multiply:

[2i + (3^ + l)l [2i-(3^ + l)]

  1. Multiply: (2a + 36)(4a'-6aZ>+%')

8, Divide: " -VI

J-2 - i -2.

  1. Divide using long division: 4x' - Ux' + 2x^ + 9x- 10. Divide using synthet 6x' + 5x'-lx + 2

ig SYnttietic aivision:

2 ^ ' - 3 _. I (^) x —^2 3

6 q - 5 0

11, Factor. 3 3 1 2 7 7

  1. Factor. 2r (v + 4)-3(y + 4)
  2. Factor. Sx^ -4xy+6xy-3y^
  3. Factor. x ' + 2 x - 2 4
  4. Factor. -2x' +10x' - 1 2 x '

17, Factor.

  1. Factor. 4 J C ' - 1 2 X J ^ + 9 /
  2. Factor. 9x'' +45X' +

aid^al tmW \2io

  1. Factor. _+6ab + 9b^'-36c2_

[(affi(ciiJ>b)mh'--5(k^

  1. Solve fort. ( ' = 2 ^ + 1 /
  2. Solve for a. Ua' =16/ +
  3. Solve for X 3x' - 4 8 j t ' =
  4. Solve for r. (^) 32. Solve font.
  1. Find the area of the shaded region in factored form:

x+

  1. Find the difference of the volumes of the two cubes in factored form:

jc+

\

4y\

4y 4y

  1. Find the missing length by using the Pythagorean Theorem, + = , and then factoring.

jc+

\

\ +ll

x+

  1. For / W = IOA:^ -31J:+16, find all the values of a for which f(a) = 1
    1. Find an equation whose graph will have the jc-intercepts (5,0) and (-3,0).

X-5 = 0 X-r3=

3 8. Find an equation whose graph will have the x-intercepts (^) v2- ,0 /

^ X - l = 0 .3x-t-'^''<^

and V 3 y

  1. A rocket is projected upward from the top of a 144-foot-tall building with a velocity of 128 feet per second. The rocket's distance from the ground, s, at any time, t in seconds, is given by the formula s(t) = -16?' +12& + 144.

a. Find the time it takes for the rocket to hit the ground.

b. Find the time it takes to be at a height of 256 feet.

  1. A ladder is leaning against a building. The distance of the ground between the base of the ladder to the building is 6 feet. The ladder reaches up the wall 2 feet less than the length of the ladder. Find the length of the ladder.

6 feet