Miscellaneous
Multi-Step Equations
Multi-Step Equations (Variables on both sides)
Literal Equations
Word Problems
100
Jake solved an equation correctly, the variables canceled out and his last line of his work was 4 = -4. How many solutions does this equation have?
No Solutions
100
7a + 16 - 3a - 7 = -11
a = -5
100
9y - 21 = 3(y + 7) + 6y
No solution
100
Solve for the bold variable:
y = gm
g = y/m
100
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
200
Jenna is solving an equation correctly. After moving the variables, she got -3x = 9. How many solutions does this equation have?
One Solution
200
3 + 2(x + 2) = 20
x = 7
200
3(x + 1) - 5 = 3x - 2
Infinite Solutions (Identity)
200
Solve for the bold variable:
y = 3x - 4
x = (y+4)/3
200
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
300
Which value of “x” makes this equation true:
42 = 7(2x - 2)
a. 4
b. 43/6
c. -4
d. 6
a. 4
300
1/5x+5 -2/5x = 1/5
x = 24
300
Solve for x:
3(x + 4) = 2(x - 1)
x = -14
300
Solve for the bold variable:
4x + 3y = 7
y = (7-4x)/3
300
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%
400
Which operation should you use to solve this equation for y: -13x - 3 = 5 + y
a. Add 13x to both sides
b. Add 3 to both sides
c. Subtract 5 from both sides
d. Add 5 to both sides
c. Subtract 5 from both sides
400
x = -22
400
4(2g - 1)= 5(g - 2)
g = -2
400
Solve for the bold variable:
A = 3x + 5y + 7
y = (A - 3x - 7)/5
400
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
500
Complete the equation so that it is true for no values of x:
3x + 7 = ____x + ____
3x + (anything other than 7)
500
x = 15
500
3/8 - 1/4x = 1/2x - 3/4
x = 1.5 or 1 1/2
500
Solve for the bold variable: 
b = (2A)/h
500
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