Combining Like Terms & Solving Equations
Variables on Both Sides
Multi-Step Equations
Solutions
100
Solve for x.
x + 0.15x = 3.45
x=3
100
Solve for g.
6 - 6g = 5g - 9g - 2
g = 4
100
Solve the equation.
3(x+4) = 2x + 4x - 6
x = 6
100
How many solutions does the equation have?
7x + 3x - 8 = 2(5x - 4)
Infinite solutions
200
Write an equation that can be represented by the bar graph. Then, solve.
-1.2y + -4.2y = -3.78
-5.4y = -3.78
y=0.7
200
Solve for b.
-2.6b + 4 = 0.9b - 17
b = 6
200
What is the solution to 4x - 2(x-2) = -9 + 5x - 8?
x = 7
200
Classify the below equation as having one solution, no solution, or infinitely many solutions.
5(2x + 3) = 3(3x + 12) + x
No solution
300
A 132-inch board is cut into two pieces. One piece is three times the length of the other. Find the length of the shorter piece. (You must write and solve the equation)
x + 3x = 132
x=33
300
Yoga Studio A has a one time sign up fee of $22 and a monthly charge of $24.50.
Yoga Studio B charges $18.25 per month and an initial charge of $47.
After how many months will the total cost for each health club be the same? Be sure to write an equation and solve for the variable.
24.50x + 22 = 18.25x + 47
x = 4
300
Peter is thinking of a number. What is it?
If you subtract 12 from my number and multiply the difference by -3 the result is -54.
-3(n-12) = -54
n = 30
300
Theo and Amal are making desserts.
Theo buys peaches for $1.25 each and a carton of vanilla yogurt for $4.
Amal bought apples for $1 each and a jar of honey for $6.
They bought the SAME number of pieces of fruit. Is there a situation in which they pay the same amount for their purchases?
1.25f + 4 = 1f +6
Yes. Once when f=8.