Directions: Please work out the problems:
Q3: Simplify the following expression:
121÷11+3∙4÷2
Q4: Simplify the following expression:
15(x – 6) + 8
Q5: Solve the following equation:
6x – 15 = 15
Q3: Simplify the following expression:
121÷11+3∙4÷2
Step 1: Perform the multiplication and division operations first.
3 * 4 = 12
12 ÷ 2 = 6
Step 2: Perform the addition operation next.
121 ÷ 11 + 6
Step 3: Divide 121 by 11.
= 11 + 6
= 17
Therefore, the simplified expression is 17.
Q4: Simplify the following expression:
15(x – 6) + 8
Step 1: Apply the distributive property.
15 * x = 15x
15 * (-6) = -90
Step 2: Replace the multiplied terms with their results.
15x - 90 + 8
Step 3: Combine like terms.
= 15x - 82
Therefore, the simplified expression is 15x - 82.
Q5: Solve the following equation:
6x – 15 = 15
Step 1: Isolate the variable term by adding 15 to both sides.
6x - 15 + 15 = 15 + 15
6x = 30
Step 2: Divide both sides by 6 to solve for x.
6x/6 = 30/6
x = 5
Therefore, the solution to the equation is x = 5.