Math 011 – Sample Test 1
Show all work. Simplify all answers. Leave all answers exact (reduced fractions not rounded decimals
– unless otherwise indicated).
1) Find all factors of 155.
2) Find the prime factorization of 35 and 120. Then find the LCM.
a) The prime factorization of 35:
b) The prime factorization of 120:
c) The LCM
3) Simplify
75
30
4) Divide and simplify
5 4
÷
6 21
5) Write 0.85 in fractional notation.
6) Find the decimal notation for 2.04%
7) Find the percent notation for 1.75
8) Evaluate 4 ! 5 * 2 3 + 6 ÷ 2 + 1
9) Find the area of the circle.
5mm
10) Find the perimeter of the rectangle
2m
9m
11) Translate to an algebraic expression: 8 more than s
12) Translate to an algebraic expression: Three minus twice a number. (Use y as the variable.)
13) Graph on the number line !
-5
-4
-3
7
3
-2
-1
14) Use < or > to make the statement true.
2
-11
15) Use < or > to make the statement true.
-9
-3
16) Use < or > to make the statement true.
7
13
8
15
17) Add.
!2 + 6
18) Add.
8 + (!3)
0
1
2
3
4
5
19) Add.
20) Subtract.
!
7 1
+
10 3
!3 ! 18
21) Subtract. 2 ! (!8)
22) Subtract.
1 2
!
2 6
23) Multiply. (!3)(5)(!2)
24) Multiply.
25) Divide.
3(2)(!2)
!125
5
!8
26) Find the reciprocal.
27) Find the reciprocal.
1
8
28) Divide.
4 3
÷
3 8
29) Use an associative law to find an expression equivalent to (d + c) + 93
30) Use a commutative law to find an expression equivalent to a + (b + 2)
31) Multiply
32) Factor
!(3 ! x)
18z ! 150
33) Collect like terms 12u ! 8 + u + 9
34) Find an equivalent expression without parentheses 2(3y ! 12)
35) Simplify by removing parentheses and collecting like terms 12n ! 3(2n ! 6)
36) Simplify [3(1 ! 3) ! 2(5 ! 9)]
37) Simplify 2{[3(2 ! 9) ! 8] ! [2 ! (5 ! 2)]}
38) Simplify
(19 ! 2 ÷ 4) + 11
39) Simplify
12 ! 2 3
40) Simplify
12 ! 3 " 5 2
52 + 9 ÷ 3