Download Unit 2 Review

Name____________________________ P:_____Date______ Algebra 3 Unit 2 Review Sections 2.1 – 2.5
I. Determine the numerical coefficient of the following terms:
3
x
a. 4x 2 ______
b.  x ______
c. x ______
d.
______
5
3
e.  xyz ______
II. For each of the following, list terms that would be like terms and unlike terms.
Given term:
4x 2
Examples of Like Terms:
Examples of Unlike Terms:
a 2bc 3
5x
xy
4
III. Simplify the following expressions.
1
a. 4 x  x 2  1
b.  x  16 
4
c. 2 x  x 2  3 x   5 x
d. 3  x  2  12  x 
f.
g.

 
1
1
4 x 2  2 x  8  15 x 2  9 x  3
2
3
e. 0.4 x  2.7 y  1.8 x

h. 2x  4x  3  7 x  5
2
1
x  x 2  3x 2  x
5
5
i. 4  x  3  3  x  2
IV. Translate the following into algebraic expressions or equations.
a. Subtract 7 x  2 from x  5 ________________________
b. The difference of a number and five, divided by seven. ________________________
c. Triple the difference of a number and two added to the sum of a number and five. _____________________
d. The sum of a number and six subtracted from two times a number decreased by one. __________________
e. Five times a number less four is the same as twice the sum of the number and three. ___________________
f. The quotient of a number and three is the same as the difference of the number and two. ________________
V. Solve for x:
a. x  4x  7  x  3  8
b.   5x  3  7 x  3
e. 5  x  2  4  3  x  2  2 x
f.
c. 9 x  x  1  8( x  1)  7
7
1 3
x  x
8
4 4
g.
d.
5  x  1
6
 2x  3
2
5
x  14  x
7
7
VI. Formulas
a. Given A  l  w ; A  56, l  8 . Find w.
b. Given d  r  t ; r  75, t  2 . Find d.
c. Solve for w: V  lwh .
9
d. Solve for C: F    C  32
5
e. Mike is trying to replace the carpet in his bedroom. His room is rectangular and has a width of 14 feet and a
length of 20 feet. How much carpet will Mike need for his bedroom?
f. The normal body temperature for a human is 98.6 degrees Fahrenheit. Express this temperature in terms of
9
degrees Celsius. F    C  32
5
g. If it takes me five hours to travel 365 miles, at what rate was I traveling? d  r  t
VII. Solve the following word problems.
a. Greg gets paid $20 dollars an hour. If Greg’s paycheck at the end of week is $700 before taxes, how many
hours did he work?
b. The sum of three consecutive odd integers is 57. What are the three integers?
c. The sum of five consecutive numbers is 315. What are the five numbers?
d. The sum of two consecutive even numbers is 178. What are the two numbers?
e. A 40 inch piece of string is to be cut into two pieces. The second piece is four more than three times the
first. Find the length of each piece of string.
f. A 73 foot rope is to be cut into four pieces. The second piece is ten times as long as the first, the third piece
is two less than the first, and the fourth piece is five more than twice the first. Find the length of each piece.