Review
Name:_________________________________
Quiz #1 Alg II
Classify each number as N, W, Z, Q I or R.
1.)
196 ____________________________
2.)
15 _____________________________
3.) -9.7 _____________________________
Evaluate each expression, show your work.
4.) 5  a (2b  6)  3b  a 2   b3 if a = -3 and b = -2 ____________________________________
5.) 3k 2  2c  4k 3  5c if c = -2 and k = -1 ___________________________________________
Name the property.
6.)  5  5  __________________________________________
7.)
6 7
 1 ____________________________________________
7 6
8.) 2.5 
4
7
 1 ____________________________________
5
10
Combine like terms.
9.) 6 x  2 xy  2 x 2  (3x  4 xy  x 2 ) ___________________________________________
10.) 7b  3(3a  8b)  4a _____________________________________________________
Solve each equation, show all your steps.
11.) x  45  4x
1
3
12.) (18  9c)  6  3c
13.) 4(n  1)  2(2  2n)
14.) 7(a  1)  3a  5  4(2a  1)
Solve each equation for the indicated variable and state any restrictions.
15.) v 
abc
solve for b
2
16.) c( x  2)  b( x  3) solve for x
Draw a picture or define your variables and solve each problem.
17.) The length of a rectangle is 4 less than three times its width. The perimeter is 110 meters.
What are the dimensions of the rectangle?
18.) A rectangle has side lengths of consecutive even integers. If the perimeter of the rectangle is
124 meters, find the dimensions of the rectangle.
19.) A triangle has side lengths of consecutive integers. The perimeter is 117 cm, find the length of
each side of the triangle.
20.) Find the four consecutive odd integers where, twice the sum of the two smallest integers is
equal to the sum of the two largest integers.