Multi-Step Equations Unit Test

Question

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Question
Fill in the spaces to solve each step of the problem 1/4(x+3)=5

Answer 1

To solve the equation 1/4(x+3)=5, we will need to eliminate the fraction by multiplying both sides of the equation by its reciprocal, which is 4/1.

1/4(x+3) * (4/1) = 5 * (4/1)

1(x+3) = 20

Now, let's remove the parentheses by distributing the 1 to both terms inside the parentheses:

x + 3 = 20

Next, we need to isolate the variable x. To do this, we will subtract 3 from both sides of the equation:

x + 3 - 3 = 20 - 3

x = 17

Therefore, the solution to the equation 1/4(x+3)=5 is x = 17.

Answer 2

just fill them in

Answer 3

(1/4)(x+3) = 5

Multiply both sides of the equation by 4 to eliminate the fraction:

4 * (1/4)(x+3) = 4 * 5

(x+3) = 20

Subtract 3 from both sides of the equation:

(x+3) - 3 = 20 - 3

x = 17

Therefore, the solution to the equation 1/4(x+3) = 5 is x = 17.