Quadratic Equations (Factoring)
Solve the quadratic equation by factoring:
x2+5x+4 = 0
x = -4, -1
Solving Inequalities
Solve for x.
4x + 3 < 7
What is:
x < 1
Solving Inequalities
Solve for c.
c - 11 > 22
What is:
c < 33
Solve using the quadratic formula:
m2 − 5m − 14 = 0
m = -2, 7
Write the compound inequality that represents the phrase:
all real numbers that are greater than -2 and less than 6
n>-2 and n<6
or
-2<n<6
Solve the quadratic equation by factoring:
x2 - 11x + 28 =0
x = 4, 7
Solving Inequalities
Solve for x.
2x - 5 > - 11
What is:
x > -3
Solve the inequality
2x < 72
X < 36
Solve using the quadratic formula:
b2 − 4b + 4 = 0
b = 2
Write the compound inequality that represents the phrase:
all real numbers that are smaller than 8 or greater than 50
n<8 or n>50
Solve the quadratic equation by factoring:
x2-64=0
x = -8, 8
Solving Inequalities
Solve for x.
-9x + 1 > -71
What is:
x > -8
Write an inequality
S is at most 55
s <= 55
Solve using the quadratic formula:
2m2 + 2m − 12 = 0
m = -3, 2
What is the difference between "x is between -5 and 7" and "x is between -5 and 7, inclusive?
Inclusive means that -5 and 7 are included in the solutions.
Solve the quadratic equation by factoring:
x2 + 17x + 49 = 3x
What is:
x = -7
Solve for v.
v/3 + 14 < 30
v < 48
Write an Inequality
J is less than 8
J < 8
Solve using the quadratic formula:
4b2 + 8b + 7 = 4
b = -1/2 and -3/2
SOLVE
-3<m-4<-1
1<m<3
Solve the quadratic equation by factoring:
k2 + 15k = −56
What is:
x = -8, -7
Inequalities
11 < 2 + 3x
3 < x
10 < 2x - 6
x > 8
8 < x
Solve using the quadratic formula:
5r2 = 80
x = -4, 4
SOLVE
3t+2<-7 or -4t+5<1
t<-3 or t>1