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: Julie is 3 years older than her sister. Julie's age is 11 years old. How old is her sister?
n = Julie's sister's age
n + 3 = 11
n = 8 Julie's sister is 8 years old.
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
If x < y , then x - z < y - z
Subtraction Property of Inequality
300
-5x + 3(x +2 ) = 20
x = -7
300
Solve for z
4x = 3(z + y)/5
z = (20y)/3 -y
300
|x|/4 = 12
{48,-48}
300
7n - 8n -3 < 23
n > -26
300
Tyler has 4 boxes of apples. Each box has the same number of apples. After Tyler eats 3 apples, there are 109 apples left in the boxes. How many apples were in each box?
a - # of apples in each box
4a - 3 = 109
a = 28 There were 28 apples in each box.
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
If x = y then x + z = y + z
Addition 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
-4|3x-1|>=8
No Solutin
500
A taxi charges a flat rate of $1.75, plus an additional $0.65 per mile. If Erica has at most $10 to spend on a cab ride, how far could she travel? (round your answer to tenths)
m = miles
1.75 + 0.65m <=10
no more than 12.7 miles