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What is our goal when solving equations?
Isolate the variable
Solve the equations.
14-3g=32
g=-6
Solve the equation.
6(x-1)=12
x= 3
Solve the inequalities. 1≥x-9
10≥x
Solve the inequalities. 2y+7>11
y>2
Darius is 38 years old. In 4 years he will be 3 times as old as Gia. How old is Gia?
3x+4=42
Solve the equations.
w/4 -21=-3
w=9
Solve the equations.
5+2(x-2)=19
x=10
Solve the inequalities. 5m+8+m≥14
m≥1
Solve the inequalities. 11-4z<-1
z>3
Ken has $950 in a savings account at the beginning of the summer. He wants to have at least $600 in the account at the end of the summer. He withdraws $35 a week for entertainment. What is the solution?
950-35w > 600
w<10
Solve the equations.
4-3x=34
6-4u=26
x=-10
u=-5
Solve the equations. -5(3n+5)=20
n= -3
Solve the inequalities. a/2 < -9
a<-18
Solve the inequalities. -3+b/3 <-7
b<12
Chelsea owes her mom $38. She starts paying her mom back $4 per week. After some weeks, she realizes she only owes her mom $2 more. How many weeks has she been paying her mom back?
Write an equation and solve.
4x+2=38
x=9
Solve the equations.
d/15 +26=33
d=105
Solve the equations. 42=18t+4(t+5)
t=1
Solve the inequalities.
d/-11 ≤6
d≥-66
Solve the inequalities.
x/-3 -8≥-3
x≤-15
How do we isolate the variable?
Inverse operations (SADMEP)
DAILY DOUBLE!!!! Write the verbal sentence as an equation and solve. Five minus the product of 2 and a number is 7.
5-2x=7
x=-1
What is the solution of the equation:
-3(2x-1)=-21
4
Which inequality is equivalent to -18≤3p? a) p≥-54 ; b)-54≥p ; c)p≥-6 ; d)-6≥p
c) p≥-6
What is the solution of the inequality z/-4+3<15 ?
z>-48