Two-Step Equations
-14= n/4 -18
n=16
-7( -14n-6)
98n+42
Solve the inequalities.
1≥x-9
10≥x
Solve the inequalities. 2y+7>11
y>2
At the start of a hike, a hiker was at an elevation of -50 feet (where 0 represents sea level). The hiker climbs up at a rate of 15 feet per minute. Write an inequality that represents the number of minutes after the start of the hike, when the hiker’s elevation was higher than 10 feet above sea level.
-50+ 15x< 10
Solve the equations.
4w-21= 7
w=7
-15m -7(5+9m)
-78m-35
Solve the inequalities.
13+m≥14
m≥1
Solve the inequalities.
11-4z<-1
z>3
A teacher only uses his car to drive to and from work each day, so the car only uses 1.6 gallons of gas each day. The car holds 24 gallons of gas. A warning light comes on when the remaining gas is 1.5 gallons or less.
Write and solve an equation to determine the number of days the teacher can drive the car without the warning light coming on.
1.6x=22.5
x=14 days
3x+32= -172
x=-68
-3x +18(15x-12)
267x-216
Solve the inequalities.
12a < -96
a< -8
Solve the inequalities.
3+b-1<6
b<4
Keith has $500 in a savings account at the beginning of the summer. He wants to have at least $200 in the account by the end of the summer. He withdraws $25 each week for food, clothes, and movie tickets.
Write the inequality and solve.
500-25x >= 200
x <= 12
Solve the equations.
246= 30+ 9k
x= 24
-5 +15(1-11x)
10-165x
Solve.
-1/11d <= 6
d≥-66
Solve the inequalities.
-3x-8≥-5
x≤-1
Yellow Cab Taxi charges a $1.75 flat rate in addition to $0.75 per mile. Katie has no more than $10 to spend on a ride. Write an inequality and solve.
1.75 +.75x <= 10
x<=11
Solve the equation.
238= -14-7a
a= -36
20 +12(8k-4)
-32 +104k
-3x < 18
x > -6
Solve the Inequalities
5x+4 > 24
x>4
-4(v+3) + 2(5v+4)= -16
V= -2