Solving Equations
Literal Equations
Solving Absolute Value
Solving Inequality & Abs. Value Ineq
Word Problems and Properties
100
3b + b - 8 = 4
b = 3
100
Solve for b:
(2A)/h
100
|x-2|=6
{8,-4}
100
Solve the inequality
12b -3b +5 >=-31
b>=-4
100
WRITE AN EQUATION & SOLVE: Find three consecutive odd numbers whose sum is 51.
x = smallest number
x + x + 2 + x + 4 = 51
three numbers are 15, 17 and 19
200
x - 2x = 5
x = -5
200
Solve for y:
2x + 3y = 6
y = (6-2x)/3
200
|x/7| = 14
{98,-98}
200
Solve the inequality
|x+3|>4
x<-7 or x>1
200
What property is represented
x + 5 < y + 1
x + 5 - 5 < y + 1 - 5
Subtraction Property of Inequality
300
-5x + 3(x +2 ) = 20
x = -7
300
Solve for z
4x = 3(z + y)/5
z = (20x)/3 -y
300
|x|/4 = 12
{48,-48}
300
7n - 8n -3 < 23
n > -26
300
The perimeter of a rectangle is 50 cm. Find the area if its length is 5 inches greater than its width.
w = width
w + 5 = length
P = 2w + 2(w+5)
w = 10 cm; l = 15 cm A = lw --- A = 150cm
400
-2(x - 9) = -24
x = 21
400
Solve for C
C = 5/9(F -32)
400
5 + |x-3|=19
{17,-11}
400
-5(x+2)>15
x <-5
400
What property is represented
20x = 6y
(20x)/20 = (6y)/20
Division Property of Equality
500
-13(4 + 2a) = 208
a = -10
500
Solve for Speed of Light (c)
c = sqrt(E/m)
500
3|6-4x|-3 = 51
{-3,6}
500
|2+(-3/4)x|=(1/2)x
x = 8/5 and x = 8
500
Maria’s score on four math tests are 89, 100, 90 and 92. What score can she get on the fifth quiz to have an average of at least a 95?
x = test score
(89+100+90+92+x)/92 >=95
x >= 104