<< Chapter < Page Chapter >> Page >
This module is from Fundamentals of Mathematics by Denny Burzynski and Wade Ellis, Jr. This module is a proficiency exam to the chapter "Algebraic Expressions and Equations." Each problem is accompanied with a reference link pointing back to the module that discusses the type of problem demonstrated in the question. The problems in this exam are accompanied by solutions.

Proficiency exam

For problems 1 and 2 specify each term.

( [link] ) 5 x + 6 y + 3 z size 12{5x+6y+3z} {}

5 x size 12{5x} {} , 6 y size 12{6y} {} , 3z size 12{3z} {}

Got questions? Get instant answers now!

( [link] ) 8 m 2 n 4 size 12{8m - 2n - 4} {}

8 m size 12{8m} {} , 2 n size 12{ - 2n} {} , -4

Got questions? Get instant answers now!

( [link] ) In the expression 9 a size 12{ - 9a} {} , how many a size 12{a} {} ’s are indicated?

-9

Got questions? Get instant answers now!

For problems 4-9, find the value of each expression.

( [link] ) 6 a 3 b size 12{6a - 3b} {} , if a = 2 size 12{a= - 2} {} , and b = 1 size 12{b= - 1} {} .

-9

Got questions? Get instant answers now!

( [link] ) 5 m + 2 n 6 size 12{ - 5m+2n - 6} {} , if m = 1 size 12{m= - 1} {} and n = 4 size 12{n=4} {} .

7

Got questions? Get instant answers now!

( [link] ) x 2 + 3 x 5 size 12{ - x rSup { size 8{2} } +3x - 5} {} , if x = 2 size 12{x= - 2} {} .

-15

Got questions? Get instant answers now!

( [link] ) y 2 + 9 y + 1 size 12{y rSup { size 8{2} } +9y+1} {} , if y = 0 size 12{y=0} {} .

1

Got questions? Get instant answers now!

( [link] ) a 2 + 3 a + 4 size 12{ - a rSup { size 8{2} } +3a+4} {} , if a = 4 size 12{a=4} {} .

0

Got questions? Get instant answers now!

( [link] ) ( 5 x ) 2 + 7 ( m x ) + x 2 m size 12{ - \( 5 - x \) rSup { size 8{2} } +7 \( m - x \) +x - 2m} {} , if x = 5 size 12{x=5} {} and m = 5 size 12{m=5} {} .

-5

Got questions? Get instant answers now!

For problems 10-12, simplify each expression by combining like terms.

( [link] ) 6 y + 5 2 y + 1 size 12{6y+5 - 2y+1} {}

4 y + 6 size 12{4y+6} {}

Got questions? Get instant answers now!

( [link] ) 14 a 3 b + 5 b 6 a b size 12{"14"a - 3b+5b - 6a - b} {}

8 a + b size 12{8a+b} {}

Got questions? Get instant answers now!

( [link] ) 9 x + 5 y 7 + 4 x 6 y + 3 ( 2 ) size 12{9x+5y - 7+4x - 6y+3 \( - 2 \) } {}

13 x y 13 size 12{"13"x - y - "13"} {}

Got questions? Get instant answers now!

For problems 13-22, solve each equation.

( [link] ) x + 7 = 15 size 12{x+7="15"} {}

x = 8 size 12{x=8} {}

Got questions? Get instant answers now!

( [link] ) y 6 = 2 size 12{y - 6=2} {}

y = 8 size 12{y=8} {}

Got questions? Get instant answers now!

( [link] ) m + 8 = 1 size 12{m+8= - 1} {}

m = 9 size 12{m= - 9} {}

Got questions? Get instant answers now!

( [link] ) 5 + a = 4 size 12{ - 5+a= - 4} {}

a = 1 size 12{a=1} {}

Got questions? Get instant answers now!

( [link] ) 4 x = 104 size 12{4x="104"} {}

x = 26 size 12{x="26"} {}

Got questions? Get instant answers now!

( [link] ) 6 y + 3 = 21 size 12{6y+3= - "21"} {}

y = 4 size 12{y= - 4} {}

Got questions? Get instant answers now!

( [link] ) 5 m 6 = 10 3 size 12{ { {5m} over {6} } = { {"10"} over {3} } } {}

m = 4 size 12{m=4} {}

Got questions? Get instant answers now!

( [link] ) 7 y 8 + 1 4 = 13 4 size 12{ { {7y} over {8} } + { {1} over {4} } = { { - "13"} over {4} } } {}

y = 4 size 12{y= - 4} {}

Got questions? Get instant answers now!

( [link] ) 6 x + 5 = 4 x 11 size 12{6x+5=4x - "11"} {}

x = 8 size 12{x= - 8} {}

Got questions? Get instant answers now!

( [link] ) 4 y 8 6 y = 3 y + 1 size 12{4y - 8 - 6y=3y+1} {}

y = 9 5 size 12{y= { { - 9} over {5} } } {}

Got questions? Get instant answers now!

( [link] and [link] ) Three consecutive even integers add to -36. What are they?

-14, -12, -10

Got questions? Get instant answers now!

( [link] and [link] ) The perimeter of a rectangle is 38 feet. Find the length and width of the rectangle if the length is 5 feet less than three times the width.

l = 13 , w = 6 size 12{l="13", w=6} {}

Got questions? Get instant answers now!

( [link] and [link] ) Four numbers add to -2. The second number is three more than twice the negative of the first number. The third number is six less than the first number. The fourth number is eleven less than twice the first number. Find the numbers.

6, -9, 0, 1

Got questions? Get instant answers now!

Get Jobilize Job Search Mobile App in your pocket Now!

Get it on Google Play Download on the App Store Now




Source:  OpenStax, Fundamentals of mathematics. OpenStax CNX. Aug 18, 2010 Download for free at http://cnx.org/content/col10615/1.4
Google Play and the Google Play logo are trademarks of Google Inc.

Notification Switch

Would you like to follow the 'Fundamentals of mathematics' conversation and receive update notifications?

Ask