Two-Step Equations
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 inequality. 2y+7>11
y>2
A balloon is 120 meters above the ground when it begins to descend at a rate of 3.5 meters per minute. When will the balloon reach 85 meters above the ground? Create an equation and solve
120 - 3.5m = 85
m = 10
Solve the equations.
w/4 -21=-3
w=9
Solve the equations.
5+2(x-2)=19
x=10
Solve the inequalities. d/-11 ≤ 6
d≥-66
Solve. 11-4z<-1
z>3
Ms. Chatelle buys 10 bottles of soda and has a coupon for $0.75 off the regular price of each bottle. After the coupons the total cost of the bottles is $16.10. How much was each bottle of soda? Create an equation and solve
10(p - 0.75) = 16.10
p = 2.36
Solve the equations.
4-3x=34
6-4u=26
x=-10
u=-5
Solve the equations. -5(3n+5)=20
n= -3
Solve and graph -3a + 7 ≥ 19
a≤-4
Closed circle at -4 to the left
Solve 3+b/3<7
b<12
Jose can drive his car 32.5 miles per gallon of gas. Write and solve an inequality to show the minimum number of gallons he would need to drive 117 miles.
32.5g ≥ 117
g = 3.6
Solve the equations.
d/15 +26=33
d=105
Solve the equations. 42=18t+4(t+5)
t=1
Solve and graph -5 + d/-9 < -13
d>72
Open circle at 72 to the right
Solve x/-3 - 8 ≥ -3
x≤-15
Colton earned $45 mowing lawns. He earns $15 per lawn. He needs at least $125 for a new mower. Create an inequality and solve to show how many more lawns Colton will need to have enough money. Be specific!
45 + 15L ≥ 125
L ≥ 5.3
He would need to mow 6 lawns because he cant mow .3 of a lawn
-10 - (1 1/4)n = -6/8
n = -7.4
2(3x - 2)+ 6x = 3(5x - 2)-7
x = 3
Ms. Chatelle and Ms. Walsh were snorkeling. The difference between their height was no more than 30 feet. Ms. Walsh's depth was -8 feet. Write an inequality that represents the maximum height Ms. Chatelle could have reached.
h - (-8) ≤ 30
Solve and graph v/-3.2 - 10 ≤ 0.05
v ≥ -32.16
Closed circle at -32.16 to the right
Scarlet needs an average of 85% or greater to receive a prize. Each test is worth 50 points. The score of her first 4 test are 45, 39, 37, and a 44. What does she need to reciev on her next test to get a prize?
(165 + x)/250 ≥ .85
x ≥ 47.5