(#) ______
Algebra 1 - Chapter 8
Pre-Test
Answers
PLEASE READ BEFORE YOU BEGIN!
This test MIRRORS the TEST you will be taking next week. These are the EXACT same
type of questions on your test next week, except the numbers will be changed.
1.
!
!
Simplify each expression below.
a) (x 2 " 2x) 2
b) (2x "1)(2x 2 + 3x " 2)
(x 2 ! 2x)2
(2x !1)(2x 2 + 3x ! 2)
(x 2 ! 2x)(x 2 ! 2x)
!
x 2 (x 2 ! 2x) ! 2x(x 2 ! 2x)
2x 3 + 6x 2 ! 2x ! 2x 2 ! 3x + 2
x 4 ! 4x 3 + 4x 2
2x 3 + 4x 2 ! 5x + 2
c) (2x 2 + 2x "10) " (3x 2 " 5x +10)
d) ("2x 5 )(2x 3 )(3x 4 )(6x 2 )
(2x 2 + 2x !10) ! (3x 2 ! 5x +10)
(!2x 5 )(2x 3 )(3x 4 )(6x 2 )
2x 2 + 2x !10 ! 3x 2 + 5x !10
!
!x 2 + 7x ! 20
2.
!72x14
2y = 6x "14
3x " y = 7
b)
Infinitely Many Solutions
!
!
7x " y = 1
5x + y = 3
!1 4 $
# , &
"3 3%
Write an equation of the line for each of the following situations.
2
a) m = " ; (3, " 2)
3
!
(!4x 8 )(18x 6 )
Solve each System of Equations.
a)
3.
2x(2x 2 + 3x ! 2) !1(2x 2 + 3x ! 2)
2
y=! x
3
b) ("5, 6),("6, " 2)
!
y = 8x + 46
4.
Write each equation in:
i)
Point – Slope Form
ii) Slope – Intercept Form
iii) Standard Form
!
5.
a) (3, 4),("3, " 4)
1
b) m = ; b = "4
4
4
i) y ! 4 = (x ! 3)
3
4
ii) y = x
3
iii) 4x ! 3y = 0
1
i) y + 4 = (x ! 0)
4
1
ii) y = x ! 4
4
iii) x ! 4y = 16
!
Write an equation of the line having the following properties
a)
Parallel to 2x = 3y + 5 and passes through (9, " 3)
2
y = x!9
! 3
b)
!
Perpendicular to "2y = "x " 6 and passes through ("3, 4)
y = !2x ! 2
!
Factor completely
6.
a) 2x 2 " 5x "12 b) 2x 2 + 4 x "15 (2x + 3)(x ! 4) Not Factorable (Prime) !
d) 6x 2 " 216 6(x + 6)(x ! 6) !
f) 25x 2 + 250x + 625 !
c) x 2 "144 !
!
(x +12)(x !12) e) 9x 2 " 24 x + 16 (3x ! 4)(3x ! 4) = (3x ! 4)2
!
g) 16x 2 " 24
25(x + 5)(x + 5) = 25(x + 5)2
!
8(2x 2 ! 3)
!
h) 21x 2 + 35x
7x(3x + 5)
!
7.
!
!
Solve for x
a) 2x 2 + 7x "15 = 0
b) 2x 2 " 5x = 3
(2x ! 3)(x + 5) = 0
(2x +1)(x ! 3) = 0
x = !1 / 2, x = 3
x = 3 / 2, x = !5
!
c) 16x 2 " 64 = 0
d) 3x 2 + 5x + 6 = x 2 ! 3x ! 2
16(x + 2)(x ! 2) = 0
2(x + 2)(x + 2) = 0
x = !2
x = !2, x = 2
e) 3x 2 = 27
3(x + 3)(x ! 3) = 0
!
x = !3, x = 3
8.
Solve
Today, at Baja Fresh, they are offering two specials involving burritos and
tacos. The First Special offers 1 taco and 2 burritos for $4.75. The Second
special offers 2 tacos and 1 burrito for $4.25.
a) Let x equal the cost of one taco and y equal the cost of one burrito. Write
two equations, one to show the cost of the First Special, and another to
show the cost of the Second Special.
1x + 2y = 4.75
2x +1y = 4.25
b)
Find the cost of each burrito and taco. Show all your work.
1 taco = $1.25 1 burrito = $1.75