Multi-Step Equations
7a + 16 - 3a - 7 = -11
a = -5
9y - 21 = 3(y + 7) + 6y
No solution
Solve for the bold variable:
y = gm
g = y/m
Set up an equation and solve:
Allie bought dinner for $17.21. This is $5.15 more than she spent on lunch. How much did she spend on lunch?
x + 5.15 = 17.21
x = $12.06
3 + 2(x + 2) = 20
x = 7
3(x + 1) - 5 = 3x - 2
Infinite Solutions (Identity)
Solve for the bold variable:
y = 3x - 4
x = (y+4)/3
Set up an equation and solve. Show your work:
Jake mowed the lawn for 28 minutes. This is twice as long as he spent cleaning his room. How long did he spend cleaning his room?
2x = 28
x = 14 minutes
1/5x+5 -2/5x = 1/5
x = 24
Solve for x:
3(x + 4) = 2(x - 1)
x = -14
Solve for the bold variable:
4x + 3y = 7
y = (7-4x)/3
Set up an equation and solve:
Your grade is currently 85.3% in science class. This is 7.1% less than your grade last month. What was your grade last month?
x - 7.1 = 85.3
x = 92.4%
3/4x+14 - 1/4x = 3
x = -22
4(2g - 1)= 5(g - 2)
g = -2
Solve for the bold variable:
A = 3x + 5y + 7
y = (A - 3x - 7)/5
Set up an equation and solve:
Bethany wants to buy some CDs that each cost $12, and a DVD that costs $23. She has $71. Write and solve an equation to find how many CDs she can buy.
12x + 23 = 71
x = 4 CDs
2/5x - 6 +4/5x = 12
x = 15
3/8 - 1/4x = 1/2x - 3/4
x = 1.5 or 1 1/2
Solve for the bold variable (b):
A=(bh)/2
b = (2A)/h
Write an equation and solve:
You buy a hot chocolate and 5 candy bars (each costing the same price) at the football game. The cost of the hot chocolate was $2.25. Your total bill before tax was $9.75. What was the cost of each candy bar?
5x + 2.25 = 9.75
x = $1.50