Download Math 011 – Practice Test 3 Show all work. Simplify all answers

Math 011 – Practice Test 3
Show all work. Simplify all answers. Leave all answers exact (reduced fractions not rounded decimals
– unless otherwise indicated).
1) Find the slope of each line, then tell if they are parallel, perpendicular, or neither
3y = 1 + 5x
5x + 3y = 5
2) Graph y !
1
x"4
2
3) Graph 3x ! 2y > 6
! 1$
4) Evaluate the expression # &
" 3%
0
5) Express as a positive exponent, then simplify. 3!3
6) Multiply and simplify. x 3 ! x 6
7) Multiply and simplify. 214 ! 2 "11
8) Divide and simplify.
23
27
9) Divide and simplify.
y !5
y !2
10) Simplify. (r 6 )!4
11) Simplify. (3d !4 )3
12) Simplify. (x 4 c 2 )!5
! a5 $
13) Simplify. # 3 &
"b %
5
! a4c $
14) Simplify. # 2 &
" sw %
'2
15) Convert to scientific notation. 25,300,000
16) Convert to decimal notation. 8.17 ! 10 "7
17) Identify the terms of the polynomial. (Write a list of them separated by commas.)
7x 2 ! 4x + 2
18) Identify the coefficient of each term of the polynomial. (Write a list of them separated by commas.)
!5x 4 + 2x 3 ! 8.3x 2 ! 7x ! 3
19) Collect like terms and then arrange in descending order.
!2x + 6x 4 ! 5x + 6x 4 + 3
20) Identify the degree of each term in the polynomial. (Write a list of them separated by commas.)
Then write the degree of the polynomial.
!2x 4 + 8x 3 + 2x + 2
21) Add. (5x 2 ! 2x ! 3) + (!2x 2 + 7x ! 4)
22) Subtract. (2x 4 + 2x 3 ! 9) ! (x 2 ! 6x + 1)
23) Multiply. (2x 3 )(4x 5 )
24) Multiply. (!2x 3 )(x 7 + x)
25) Multiply. (!3x 3 + 5x 2 ! 7)(2x 2 ! x)
26) Multiply. (x + 4)2
27) Collect like terms. 9u 7 v ! 8uv 7 + 9u 7 v ! 6uv 7
28) Add. (4x 2 + xy ! y 2 ) + (!x 2 ! 3xy + 4y 2 )
29) Subtract. (xy ! ab ! 2) ! (xy ! 4ab ! 3)
30) Multiply. (3x ! y)(4x + 5y)
31) Divide.
45w10
5w 4
18x 8 ! 15x 5 + 18x 2
32) Divide.
3x 2
33) Divide.
x 2 + 8x + 7
x+7