Two-Step Equations
Solve −9x + 1 = −80
What is 9?
Solve: 4 = 2x + 8x – 16
What is x=2?
Find two consecutive integers whose sum is 35.
What is 17 and 18?
13x = 39
What is x = 3?
Solve −6 = n/2 − 10
What is 8?
Solve: 4m – 3 + m = 2(20+1)
What is 9?
The sum of two consecutive integers is 95. What are the two integers?
What are 47 and 48?
x/16 = 3
What is x=48?
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?
x/14 = 3
What is x = 42?
Write an equation and solve for the number. Sixteen is seven plus three times a number.
16 = 7 + 3n
3=n
Solve: 6 + 2(x + 6)] = 2(1 + 20)
What is x=12
Two odd consecutive numbers have a sum of 52. What are the two numbers?
What are 25 and 27?
100/x = 10
What is x = 10?
Create a two-step equation where x = -5
Answers may vary
Solve: 1/2( 10x + 6) = 18
What is x=3
Three even consecutive numbers have a sum of 318. What are the three numbers?
What are 104, 105, and 106?
1220/x = 4
What is x = 305?