Question

Problem Solving with Two-Step Equations Practice

Answer 1

Sure! Here are some practice problems to help you with solving two-step equations:

1. Solve for x: 3x + 5 = 17

To solve this equation, we need to isolate x by performing the inverse operations.

First, we subtract 5 from both sides of the equation:
3x + 5 - 5 = 17 - 5
3x = 12

Next, we divide both sides of the equation by 3 to solve for x:
(3x)/3 = 12/3
x = 4

So the solution to the equation is x = 4.

2. Solve for y: 2(y + 3) = 18

To solve this equation, we need to simplify the expression inside the parentheses first.

First, we distribute the 2 to both terms inside the parentheses:
2y + 6 = 18

Next, we subtract 6 from both sides of the equation:
2y + 6 - 6 = 18 - 6
2y = 12

To isolate y, we divide both sides of the equation by 2:
(2y)/2 = 12/2
y = 6

So the solution to the equation is y = 6.

3. Solve for a: 4(a + 2) - 3 = 25

To solve this equation, we need to simplify the expression inside the parentheses first.

First, we distribute the 4 to both terms inside the parentheses:
4a + 8 - 3 = 25

Next, we combine like terms on the left side of the equation:
4a + 5 = 25

Then, we subtract 5 from both sides of the equation:
4a + 5 - 5 = 25 - 5
4a = 20

To isolate a, we divide both sides of the equation by 4:
(4a)/4 = 20/4
a = 5

So the solution to the equation is a = 5.

I hope this helps! Let me know if you have any other questions.