5-A-Day Math Review: Week 1 – Practice problems for Wednesday and Thursday, covering volume, decimals, and word problems.

Problem Analysis:

The image contains a math review worksheet for "5-A-Day Math Review: Week 1." The tasks are divided into different sections, and we will solve each problem step by step.

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Wednesday Tasks:

#### Task 1: Model and solve the problem.
- Problem: $ \frac{3}{4} + \frac{1}{2} $
- Solution:
To add fractions, we need a common denominator. The denominators here are 4 and 2. The least common denominator (LCD) is 4.
- Convert $ \frac{1}{2} $ to have a denominator of 4:
$$
\frac{1}{2} = \frac{1 \times 2}{2 \times 2} = \frac{2}{4}
$$
- Now add the fractions:
$$
\frac{3}{4} + \frac{2}{4} = \frac{3 + 2}{4} = \frac{5}{4}
$$
- The answer is:
$$
\boxed{\frac{5}{4}}
$$

#### Task 2: Model and solve the problem.
- Problem: $ \frac{1}{2} - \frac{1}{8} $
- Solution:
To subtract fractions, we need a common denominator. The denominators here are 2 and 8. The least common denominator (LCD) is 8.
- Convert $ \frac{1}{2} $ to have a denominator of 8:
$$
\frac{1}{2} = \frac{1 \times 4}{2 \times 4} = \frac{4}{8}
$$
- Now subtract the fractions:
$$
\frac{4}{8} - \frac{1}{8} = \frac{4 - 1}{8} = \frac{3}{8}
$$
- The answer is:
$$
\boxed{\frac{3}{8}}
$$

#### Task 3: The volume is ______ cubic units.
- Problem: Calculate the volume of the given rectangular prism.
- Solution:
The volume of a rectangular prism is calculated using the formula:
$$
\text{Volume} = \text{length} \times \text{width} \times \text{height}
$$
From the image, the dimensions of the rectangular prism are:
- Length = 3 units
- Width = 2 units
- Height = 2 units
- Volume:
$$
\text{Volume} = 3 \times 2 \times 2 = 12 \text{ cubic units}
$$
- The answer is:
$$
\boxed{12}
$$

#### Task 4: Draw two different trapezoids.
- Problem: Draw two different trapezoids.
- Solution:
A trapezoid is a quadrilateral with at least one pair of parallel sides. Here are two examples:
1. An isosceles trapezoid with equal non-parallel sides.
2. A scalene trapezoid with no equal sides.
(Since this is a drawing task, the actual drawing cannot be provided here, but the description suffices.)

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Thursday Tasks:

#### Task 1: Model and solve the problem.
- Problem: $ 2 + \frac{1}{3} $
- Solution:
To add a whole number and a fraction, convert the whole number to a fraction with the same denominator as the given fraction.
- Convert 2 to a fraction with a denominator of 3:
$$
2 = \frac{2 \times 3}{3} = \frac{6}{3}
$$
- Now add the fractions:
$$
\frac{6}{3} + \frac{1}{3} = \frac{6 + 1}{3} = \frac{7}{3}
$$
- The answer is:
$$
\boxed{\frac{7}{3}}
$$

#### Task 2: Evaluate the expression.
- Problem: $ 5 \div 6 \times 3 $
- Solution:
Follow the order of operations (PEMDAS/BODMAS). Division and multiplication are performed from left to right.
- First, divide 5 by 6:
$$
5 \div 6 = \frac{5}{6}
$$
- Then multiply the result by 3:
$$
\frac{5}{6} \times 3 = \frac{5 \times 3}{6} = \frac{15}{6}
$$
- Simplify the fraction:
$$
\frac{15}{6} = \frac{5}{2}
$$
- The answer is:
$$
\boxed{\frac{5}{2}}
$$

#### Task 3: Isaac finished eight of the ten homework problems. Phil has finished half as many as Isaac. How many more problems did Isaac finish?
- Problem: Compare the number of problems finished by Isaac and Phil.
- Solution:
- Isaac finished 8 problems.
- Phil finished half as many as Isaac:
$$
\text{Phil's problems} = \frac{8}{2} = 4
$$
- The difference in the number of problems finished:
$$
\text{Difference} = 8 - 4 = 4
$$
- The answer is:
$$
\boxed{4}
$$

#### Task 4: Model and solve the problem.
- Problem: $ \frac{3}{4} \div \frac{1}{2} $
- Solution:
To divide fractions, multiply the first fraction by the reciprocal of the second fraction.
- The reciprocal of $ \frac{1}{2} $ is $ \frac{2}{1} $.
- Perform the multiplication:
$$
\frac{3}{4} \div \frac{1}{2} = \frac{3}{4} \times \frac{2}{1} = \frac{3 \times 2}{4 \times 1} = \frac{6}{4}
$$
- Simplify the fraction:
$$
\frac{6}{4} = \frac{3}{2}
$$
- The answer is:
$$
\boxed{\frac{3}{2}}
$$

#### Task 5: Solve the problem.
- Problem: $ 2 - \frac{3}{4} $
- Solution:
To subtract a fraction from a whole number, convert the whole number to a fraction with the same denominator as the given fraction.
- Convert 2 to a fraction with a denominator of 4:
$$
2 = \frac{2 \times 4}{4} = \frac{8}{4}
$$
- Now subtract the fractions:
$$
\frac{8}{4} - \frac{3}{4} = \frac{8 - 3}{4} = \frac{5}{4}
$$
- The answer is:
$$
\boxed{\frac{5}{4}}
$$

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Final Answers:

1. $ \frac{3}{4} + \frac{1}{2} = \boxed{\frac{5}{4}} $
2. $ \frac{1}{2} - \frac{1}{8} = \boxed{\frac{3}{8}} $
3. Volume = $ \boxed{12} $ cubic units
4. Draw two different trapezoids.
5. $ 2 + \frac{1}{3} = \boxed{\frac{7}{3}} $
6. $ 5 \div 6 \times 3 = \boxed{\frac{5}{2}} $
7. Isaac finished $ \boxed{4} $ more problems than Phil.
8. $ \frac{3}{4} \div \frac{1}{2} = \boxed{\frac{3}{2}} $
9. $ 2 - \frac{3}{4} = \boxed{\frac{5}{4}} $

$$
\boxed{\text{All problems solved.}}
$$