Two Step
Combining Like Terms/Distributive Property
Variables on Two Sides
Infinite/No Solution
Word Problems
100
2x + 5 = 23
What is x = 9?
100
3b - 5 - 2b = 5
What is b= 10?
100
5t - 4= t - 8
What is t=-1?
100

-2x + 3 = -2x + 2

What is no solution?

100

Five more than three times a number is 23. What is the number?

What is 6?

200
m/-2 + 7 = 21
What is m= -28?
200
3 (x -4) = 15
What is x=9?
200
7 + 3h = -1 -5h
What is h= -1?
200

28x - 16 = 4(7x - 4)

What is infinitely many solutions?

200

Your sister bought pencils at $0.39 each and a notebook at $1.19. The total cost was $3.92. How many pencils did she buy?

What is 0.39p + 1.19 = 3.92? and p = 7 pencils

300
49 = 5y - 26
What is y = 15?
300
5n + 4 - 8n = -5
What is n = 3?
300
6d + 1 = 15 - d
What is d= 2?
300

-3(2x + 7) = -6x + 7

What is no solution?

300

Eight less than twice a number is sixteen less than three times the number. What is the number?

What is 2x - 8 = 3x -16? and x = 8?

400
-2w + 1 = -9
What is w= 5?
400
3(s-10) = 36
What is s= 22?
400
5(t+2) = 25 + 2t
What is t=5?
400

8(j - 4) = 2(4j - 16)

What is infinitely many solutions?

400

Genesis has sold 20 tickets to the 8th Grade Picnic and continues to sell tickets at the rate of 3 tickets per day. Nelson has sold 5 tickets to the 8th Grade Picnic and continues to sell tickets at the rate of 8 tickets per day. Write and solve an equation to determine the number of days their ticket sales will be equal.

What is 3 days?

500
-5 + 10b = -75
What is b=-7?
500
4(y-2) + y= -13
What is y= -1?
500
5(k-4) = 4- 3k
What is k = 3?
500

What value for the constant, h, in the equation shown below will result in an infinite number of solutions?

6x + 18 = h(3x + 9)

What is h = 2?

500

Your brother earned $6 less than you did working last Saturday. If you both earned a total of $60, how much did each of you earn?

What is your brother earned $27 and you earned $33?