Ms. Terkper's Digital Classroom

6.1 – Solving Equations Using Inverse Operations

1. Solve for \( h \):
\[ \frac{h}{4.1} = 3.6 \]

2. At a school fundraiser, 675 students bought tickets to the annual school dance. This represents three-fourths of the total students at the school. How many students did not buy a ticket?

3. On a history exam, a student scored 21 points, which resulted in a mark of 70%. What score would be needed to achieve a 100%?

4. Solve for x:

\( \frac{1}{3} + \frac{1}{6} = \frac{5}{6}x \)

5. Solve for z:

\( \frac{0.45}{1.8} = \frac{0.81}{z} \)

6. Solve for y:

\( \frac{y}{4} - \frac{y}{3} = -\frac{1}{10} \)

7. Solve for f:

\( \frac{f}{0.55} = 2.6 - 3.5 \)

8. A jar contains a mixture of nickels and dimes worth a total of $6.00. There are four times as many nickels as dimes. How many dimes are in the jar?

9. A cyclist is traveling six times the speed of a pedestrian. The difference between their speeds is 17.5 km/h. What is the cyclist's speed?

10. A square piece of paper is folded in half to form a rectangle. The perimeter of the rectangle is **30 cm**. What is the side length of the original square piece of paper?