Two-Step Equations
Solve the equation
14-3g=32
g=-6
Solve the equation.
6(x-1)=12
x= 3
Joan and Jim went ice skating. You have to pay a fee to use the ice rink. They paid $6.00 for their skate rental. They also buy and share some nachos for $5.00. If they spent a total of $15.00, how much did they each pay for admission to the ice rink?
Equation: 11+ 2x =15
Solution: x = 2
Solve the inequality.
x+4<3
x<-1
Solve the inequality.
2y+7>11
y>2
Solve the equations.
w/4 -21=-3
w=72
Solve the equations.
5+2(x-2)=19
x=9
Write an equation to model:
You start with $45 to spend on lunches. Each day, you spend $5 on lunch. Write an equation to model how many days you can buy lunch, d, until you only have $15 left.
45 - 5d = 15
Solve the inequality.
5+m+8≥14
m≥1
Solve the inequality.
11-4z<-1
z>3
Solve the equations.
4-3x=34
x=-10
Solve the equations.
-5(3n+5)=20
n= -3
On Monday, 408 students went on a trip to the zoo. All 7 buses were filled and 9 students had to travel in cars. How many students were in each bus ?
Write and solve and equation.
7s + 9 = 408
57 students
Solve the inequalities.
-3y>36
y<-12
Solve the inequality.
3+b<7
b<4
Solve the equations.
4x+5=-15
x=-5
Solve the equations.
-2(z+11)=6
z=-14
Sharon had a bake sale selling brownies and cookies. She made $9.00 selling brownies. Sharon needs to earn at least $16.50 total. If she sells cookies for $0.25 each, how many cookies does she have to sell to make her goal?
Inequality: 9 + 0.25c ≥ 16.50
Solution: x ≥ 30 cookies
Solve the inequalities.
5z<65
z<13
Solve the inequality.
x/-3 -8≥-3
x≤-15
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
x=4
Jason had 200 dollars to spend on 8 books. After buying them he had 16 dollars. How much did each book cost ?
Write and solve an equation.
200 - 8b = 16
$23
Solve the inequality
-18≤3p
-6≤p
Solve the inequality.
z/-4+3<15
z>-48