1.
Factor
x
2
+ 5
x
+ 6.
A.
(
x
+ 1)(
x
+ 6)
B.
(
x
+ 1)(
x
+ 5)
C.
prime
D.
(
x
+ 2)(
x
+ 3)
Hint
2.
Use the quadratic formula to solve 2
x
2
+ 7
x
+ 4 = 0. Approximate the solutions to the nearest hundredth.
A.
-5.56, -1.44
B.
-2.78, -0.72
C.
1.28, 3.66
D.
-3.35, -0.15
Hint
3.
Backtrack to find the input for the flowchart.
A.
b
= –3
B.
b
= –5
C.
b
= 5
D.
b
= 3
Hint
4.
Solve the equation by backtracking.
A.
f
= –24
B.
f
= 16
C.
f
= –21
D.
f
= –28
Hint
5.
Rewrite the expression as a product of two binomials.
x
2
–
x
– 56
A.
(
x
– 7)(
x
– 8)
B.
(
x
– 7)(
x
+ 8)
C.
(
x
+ 7)(
x
– 8)
D.
(
x
+ 7)(
x
+ 8)
Hint
6.
Find the solutions of the equation.(
x
– 2)
2
– 1 = 3
A.
x
= –4 and
x
= –4
B.
x
= 0 and
x
= –4
C.
x
= 0 and
x
= 4
D.
x
= 4 and
x
= –4
Hint
7.
Rewrite the expression as a square with a constant added or subtracted.
x
2
– 6
x
– 15
A.
(
x
– 3)
2
– 9
B.
(
x
– 3)
2
+ 9
C.
(
x
– 3)
2
– 24
D.
(
x
– 3)
2
– 15
Hint
8.
Solve the equation.
x
2
– 2
x
– 3 = 0
A.
x
= 3 and
x
= –1
B.
x
= –5 and
x
= 0
C.
x
= 5 and
x
= 0
D.
x
= 2 and
x
= –1
Hint