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1. Find the x- and y- intercepts of the line 3 x โ 12 y = 24. [A] x-int = 3, y-int = - [B] x-int = -3, y-int = 12 [C] x-int = 8, y-int = - [D] x-int = -8, y-int = 2 2. Find the domain and range, then determine whether the relation is a function.
{( 0 ,^ โ^3 ),^ (โ 1 ,^ โ^6 ),^ (^0 ,^ โ^2 ),^ ( 3 ,^1 )}
[A]
D = {โ 1 , 0 , 3 }, R = {โ 6 , โ 3 , โ 2 , 1 }; yes
[B]
D = {โ 6 , โ 3 , โ 2 , 1 }, R = {โ 1 , 0 , 3 }; no
[C]
D = {โ 1 , 0 , 3 }, R = {โ 6 , โ 3 , โ 2 , 1 }; no
[D]
D = {โ 6 , โ 3 , โ 2 , 1 }, R = {โ 1 , 0 , 3 }; yes
3. Find
f (โ 2 ) given that
f ( x ) = x^3 โ 3 x^2 โ 8.
[A] โ
[B] โ
[C]
[D] โ
4. Find the slope of the line going through the points
(โ 2 , 6 ) and
[A]
[B]
[C]
[D]
5. Find the slope of the line โ 2 x + 3 y = 24 [A] - [B] 2 [C]
[D] โ^
6. Find the slope of the line passing through the points (-2, 5) and (4, 8) [A] 2 [B]
[C] โ
[D]
7. Determine whether the graphs of the pair of equations are perpendicular, parallel, the same line, or none of these. โ 15 x + 6 y = 0 โ 2 x โ 5 y = 2 [A] perpendicular [B] parallel [C] same line [D] none of these
11. Graph. โ 3 x โ 6 y โฅ 18 [A] x y โ10 10
10 [B] x y โ10 10
10 [C] x y โ10 10
10 [D] x y โ10 10
10
12. Simplify the expression. โ 8 x^6 y^2 4 x 2 y [A] โ 2 x^4 y [B]
โ 2 x 4 y [C] โ 8 xy [D] โ 2 x^8 y^3
13. Simplify:
(โ 2 x^5 y^4 ) ( 6 xy^4 )
2 [A] โ 12 x^7 y^12 [B] โ 72 x^7 y^20 [C] โ 24 x^7 y^12 [D] โ 72 x^7 y^12
14. Simplify. 7 a^6 b โ^3 49 a 5 b โ 7 [A] ab โ^4 7 [B]
ab 4 [C]
ab โ 4 [D] ab^4 7
(^) (โ 9 x^3 + 4 x + (^5) ) โ (^) ( 7 x^3 โ 6 x + (^3) ) [A] โ 16 x^3 + 10 x + 2 [B] โ 16 x^6 + 10 x^2 + 2 [C] โ 2 x^3 + 10 x + 2 [D] โ 2 x^3 โ 2 x + 8 Simplify. 19.
( 2 x โ 9 ) ( 6 x + 7 )
[A]
12 x^2 โ 40 x + 64 [B] 12 x^2 + 68 x โ 63 [C] 12 x^2 โ 40 x โ 63 [D] 12 x^2 + 41 x + 64 20. (^) ( y + (^7) )( y^2 โ 8 y โ (^5) ) [A] y^3 โ y^2 โ 61 y โ 35 [B] y^3 โ y^2 โ 35 [C] y^3 โ y^2 + 35 [D] y^3 + y^2 โ 61 y + 35 21. ( 2 x + 3 y ) ( 2 x โ 3 y ) [A] 4 x^2 + 9 y^2 [B] 4 x^2 + 12 x โ 9 y^2 [C] 4 x^2 โ 9 y^2 [D] 4 x^2 โ 12 x + 9 y^2
( 3 x + 2 y ) 2 [A] 9 x^2 + 10 xy + 4 y^2 [B] 9 x^2 + 12 xy + 4 y^2 [C] 9 x^2 + 6 xy + 4 y^2 [D] 9 x^2 + 4 y^2 Simplify. 23.
10 x
3
y
4
+ 25 xy
2
+ 5 x
2
y
2
5 xy
[A]
2 x^2 y^3 + 25 xy^2 + 5 xy [B] 2 x^2 y^3 + 25 xy^2 + 1 [C] 2 x^2 y^3 + 5 y + 1 [D] 2 x^2 y^3 + 5 y + xy
24. Use long division to divide. (^2 x^3 โ^3 x^ +^5 ) รท^ ( x^ โ^2 ) [A] 2 x^2 + 4 x โ 11 โ
x โ 2 [B] 2 x^2 + 4 x + 5 +
x โ 2 [C] 2 x^2 + x โ 2 +
x โ 2 [D] 2 x^2 + x + 7 +
x โ 2
