Two-Step Equations
Solve −9x + 1 = −80
What is 9?
Solve: 3x + 4 = 8x – 16
What is x=4?
Find two consecutive integers whose sum is 35.
What is 17 and 18?
331 students went on a field trip. Six buses were filled and 7 students traveled in cars. How many students were in each bus?
What is 54?
If −8+3
What is 80?
Solve −6 = n/2 − 10
What is 8?
Solve: 4m – 3 + m = -2(8 – m)
What is -13/3?
The sum of two consecutive integers is 95. What are the two integers?
What are 47 and 48?
Jill sold half of her comic books and then bought sixteen more. She now has 36. With how many did she begin?
What is 40?
If 5+4
What is 40?
Jason solved for b in the equation. Did he do it correctly? Explain.
-5 – 8b = -29
+5 +5
8b = -24
÷ 8 ÷ 8
b = -3
No, when Jason simplified after his first step, he did not bring down the negative attached to the coefficient of b. He should have written -8b = -24. This would have caused him to divide by -8 and get b = 3.
Find and fix the error.
-3(2x – 3) = 33
-6x + 6 = 33
-6 -6
-6x = 27
-6 -6
x = -4.5
The distribution was done incorrectly to the constant on the second.
–6x + 9 = 33
–6x = 24
x = –4
Find three consecutive integers whose sum is 36.
What are 11, 12, and 13?
The Cooking Club made some pies to sell at a basketball game to raise money for the new math books. The cafeteria contributed four pies to the sale. Each pie was then cut into five pieces and sold. There were a total of 60 pieces to sell. How many pies did the club make?
What is 8?
When 4 times the number is added to 12, the result is 8. What number results when 2 times x is added to 7?
What is 5?
Write an equation and solve for the number. Sixteen is seven plus three times a number.
16 = 7 + 3n
3=n
Solve: 4[6 + 2(x + 6)] = 2(1 + x)
What is x=-5
Two odd consecutive numbers have a sum of 52. What are the two numbers?
What are 25 and 27?
How old am I if 400 reduced by 2 times my age is 244?
What is 78?
If x-1/3=k and k=3, what is the value of x?
What is 10?
Create a two-step equation where x = -5
Answers may vary
Solve: 3/4x-1/2=2/3x-7/6
What is x=-1/18
Three even consecutive numbers have a sum of 318. What are the three numbers?
What are 104, 105, and 106?
Sarah spent half of her weekly allowance playing mini-golf. To earn more money her parents let her wash the car for $4. What is her weekly allowance if she ended with $12?
What is $16?
When 4 times the number x is added to 12, the result is 8. What number results when 2 times x is added to 7?
What is -1?