Two-Step Equations No Parentheses
Solve the equations.
14-3g=32
g=-6
Solve the equation.
6(x-1)=12
x= 3
You are going to a school carnival and only want to spend no more than $60 total. When you arrive, you must pay an entrance fee of $15. Each game you play costs $5. How many games can you play without going over your budget?
Write an Inequality & Sovle.
60≥15+5x
9≥x
Solve the inequality.
2y+7>11
y>2
Write an equivalent expression by combining like terms:
10x+-4x
6x
Solve the equation.
w/4 -12=-3
w=36
Solve the equation.
21=-3(x-5)
x=2
A hiker has 40 pounds in their backpack but wants to reduce the weight to no more than 25 pounds. They remove items that each weigh 3 pounds. How many items must they remove to reach their goal?
25≥40-3x
x≥5
Solve the inequality.
11-4z<-1
z>3
Write an equivalent expression by combining like terms:
3 + 2y - 6 + 8y
-3 +10y
Solve the equations.
4-3x=34
x=-10
Solve the equation.
-20=-5(n+5)
n= -1
A person is saving money and wants more than $500 in their account. They currently have $140, and they deposit $45 each week. How many weeks will it take to reach their goal?
140+45x>500
x>8
Solve the inequality. 3+b/3<7
b<12
Use the distributive property to find an equivalent expression:
-5(3x-7) + -7x - 3 + x
-21x - 38
Solve the equations.
d/15 +26=33
d=105
Solve the equation.
-21=-3(2x-1)
z=4
A phone battery starts at 100% and drains by 8% every hour while in use. The user wants to keep the battery above 20%. How many hours can the phone be used before dropping too low?
Write & Solve the Inequality.
100-8x>20
x<10
Solve the inequalities.
-3(x-5)≥21
x≤-2
Simplify the expression.
-2 + 3p - p - 6(5p - 3)
-28p+16
A gym charges a one-time membership fee plus a monthly cost. Over several months, a member paid a total of $212. The monthly fee is $14, and the one-time membership fee was $44.
Write an equation & solve.
14x+44=212
x=12
What is the solution of the equation:
-2(11- z)=6
A student has 55 pencils in a drawer but wants to reduce the number to less than 31. They give away pencils in groups of 4 at a time. How many pencils must they give away to reach their goal?
55-4x<31
x>22
Solve the inequality. z/-4+3>15
x<-48
Write an equivalent expression:
3 - 4(6x + 12) + 3x - 2(8-x)
-61 - 19x