SAT Math Prep
February 18, 2015
Standards: M M1A2a,bc,e,f,g; MMM1A3a,b,c,d; MM2A4a,b,c,d
Name__________________________
Quadratics (Factoring) HOMEWORK
For problems 1 – 2, fill in and shade in each grid with the correct answer.
1. If (2x2 + 5x – 3)(5x – 4) = ax3 + bx2 + cx + d
for all real values of x, what is the value of b ?
3.
One factor of x2 + 8x – 20 is
A. x + 5
4.
2. If x2 + y2 = 12 and xy = –4,
then (x + y)2 =
B. x – 10
C. x + 4
D. x – 2
E. x – 4
D. –6
E. –10
If (y – 4)2 = 36 and y < 0, what is the value of y ?
A. 10
B. 2
C. –2
SAT Math Prep
February 18, 2015
5.
Name__________________________
If x2 – 6x + 8 = 0 and y = x + 3, then what are the possible values of y ?
A. 2 and 4
6.
B. 2 and 5
B. 4 only
E. 5 and 7
C. 1 only
D. 1 or –4 only
E. –1 or 4 only
C. 24xy
D. 12xy
E. 24x
(2x + 3y)2 – (2x – 3y)2 =
A. 12x
8.
D. 4 and 7
If a = b and 3b = (a + 2)(a – 2), then a must equal
A. –1 only
7.
C. 4 and 5
If x
A.
y
1
12
B. 12y
1
and x
4
y
1
, what is the value of x2 – y2 ?
3
B.
1
7
C.
25
144
D.
2
7
E.
7
12