Absolute Value Equations
What is absolute value?
The distance of a number from zero.
bx + c = 6
Solve for x
x = (6-c) / b
Which inequalities identify an "or" or "and" compound inequality?
OR: Greater than/Greater than or equal to
AND: Less than/Less than or equal to
Solve the inequality:
|x - 3| < 5
– 2<w<8
Simplify the expression
−10(1 − 9x) + 6(x − 10)
−70 + 96x
Solve the equation:
|x + 3| = 5
x = 2 and x = -8
Solve for z.
3z + w = p
z = (p - w)/3
-12 < -7x + 6 + 4x
x<6
Solve. -3 + |n -2| > 5
n > 10 or n < -6
A Pizza shop charges $9 for a large cheese pizza. Additional toppings cost $1.25 per topping. Haley paid $15.25 for a large pizza. How many toppings did she order?
Ans: 5 toppings
Solving absolute value equations.
|x+4|+3=17
x=-18 x=10
Solve for y.
3x + 2y = 2
y = (-3/2)x + 1
Solve. -4 < -3t + 17 < 20
7 > t > -1
In this true underdog story, when told his crush is out of his league, a character responds with a phrase that sounds like a number's distance from zero: "_______... dude."
Who is Justin Redman
Dodgeball
The middle school puts on a play. Twice as many children as adults attended. There were 8 more senior citizens than adults. Together there were 200 people in attendance. How many senior citizens attended?
S= 56
Solve the equation:
7|-7x - 3| = 21
x = 0,
-6/7
t - 4s = -w
Solve for s
s = (w+t) / 4
Solve and graph the following compound inequality:
3x + 2 < 5 OR -4x + 5 ≤ -7
x<1 OR x≥3
Solve. |3 + x| / 7 < 35.
-38 < x < 32
m + 2/3 = 1/4m - 1
Solve for m
m = -20/9
|-4 - 3n| /4= 2
n = -4
n =
4/3
Solve for y.
7x - 5y = -25
y = (7/5)x + 5
(2a + 1) / b + (1/c) = (1/3)
Solve for a
a = (b/6) - (b/2c) - (1/2)
Solve. -8 - |4v - 7| < -17.
v > 4 or v < -1/2
4 ( x - 3/2)-x = 3(x+1)
-6 = 3
No solution