1. The G.C.F of the two numbers 5 and 8 is C. 80 50 A. 40 B. 12 2. $$ \frac{1}{2}-\frac{1}{3}= $$ C. $$ \frac{2}{6} $$ A. $$ \frac{2}{5} $$ B. $$ \frac{1}{5} $$ 3. The numeric expression which represents the double of the number 3 is D. $$ \frac{1}{6} $$ C. $$ 3 imes 4 $$ A. $$ 3 imes 2 $$ B. $$ 3 imes 3 $$ 4. The inequality "the number $$ y $$ is greater than or equal to -7 " can be wiritten as C. $$ y \leq-7 $$ D. 3 A. $$ y-7 $$ B. $$ y

Question

1. The G.C.F of the two numbers 5 and 8 is C. 80 50 A. 40 B. 12 2. $$ \frac{1}{2}-\frac{1}{3}= $$ C. $$ \frac{2}{6} $$ A. $$ \frac{2}{5} $$ B. $$ \frac{1}{5} $$ 3. The numeric expression which represents the double of the number 3 is D. $$ \frac{1}{6} $$ C. $$ 3 	imes 4 $$ A. $$ 3 	imes 2 $$ B. $$ 3 	imes 3 $$ 4. The inequality "the number $$ y $$ is greater than or equal to -7 " can be wiritten as C. $$ y \leq-7 $$ D. 3 A. $$ y>-7 $$ B. $$ y<-7 $$ 5. The rational number $$ -2 \frac{1}{4} $$ in the form of $$ \frac{a}{b} $$ is C. $$ y \leq-7 $$ A. $$ -\frac{7}{4} $$ B. $$ \frac{7}{4} $$ C. $$ -\frac{9}{4} $$ 6. The range of the set of values: $$ 3,2,5,5 $$ and 9 is $$ \qquad $$ D. $$ \frac{9}{4} $$ C. 7 D. 9 A. 2 B. 5 7. The outlier of the set of values : $$ 17,13,15,78 $$ and 10 is $$ \qquad $$ A. 17 B. 13 C. 10 D. 78 2. Complete the following: 1. Distribute 18 biscuits and 12 chocolate equally in number of plates, then the greatast number of plates is $$ \qquad $$ $$ 2.3+5 	imes 2^{2}= $$ $$ \qquad $$ 3. The algebraic expression of "add double of $$ x $$ to 3 " is $$ \qquad $$ 4. The number and its additive inverse at equal distance on the number line from $$ \qquad $$ 5. The algebraic equation of " $$ y $$ equals 4 subtracted from the number $$ x $$ " is $$ \qquad $$

UpStudy AI · Accepted Answer

Sure, let's go through each of your questions one by one, providing the correct answers and explanations where necessary.

---

### **Multiple Choice Questions**

1. **The G.C.F of the two numbers 5 and 8 is**
   
   **Options:**
   - A. 40
   - B. 12
   - C. 80
   
   **Answer:** 
   
   The **Greatest Common Factor (G.C.F.)** of two numbers is the largest number that divides both of them without leaving a remainder.
   
   - **Factors of 5:** 1, 5
   - **Factors of 8:** 1, 2, 4, 8
   
   The only common factor is **1**.
   
   However, **none of the provided options (40, 12, 80)** are correct. The correct G.C.F. is **1**.

2. **$$ \frac{1}{2} - \frac{1}{3} = $$**
   
   **Options:**
   - A. $$ \frac{2}{5} $$
   - B. $$ \frac{1}{5} $$
   - C. $$ \frac{2}{6} $$
   - D. $$ \frac{1}{6} $$
   
   **Answer:** **D. $$ \frac{1}{6} $$**
   
   **Solution:**
   $$
   \frac{1}{2} - \frac{1}{3} = \frac{3 - 2}{6} = \frac{1}{6}
   $$

3. **The numeric expression which represents the double of the number 3 is**
   
   **Options:**
   - A. $$ 3 \times 2 $$
   - B. $$ 3 \times 3 $$
   - C. $$ 3 \times 4 $$
   - D. $$ \frac{1}{6} $$
   
   **Answer:** **A. $$ 3 \times 2 $$**
   
   **Explanation:**
   - **Double of 3** means **2 times 3**, which is $$ 3 \times 2 $$.

4. **The inequality "the number $$ y $$ is greater than or equal to -7" can be written as**
   
   **Options:**
   - A. $$ y > -7 $$
   - B. $$ y < -7 $$
   - C. $$ y \leq -7 $$
   - D. 3
   
   **Answer:** 
   
   The correct inequality for "greater than or **equal** to" is $$ y \geq -7 $$. However, none of the provided options include the "equal to" part.
   
   If you must choose the closest option, **A. $$ y > -7 $$** is partially correct (**greater than**) but doesn't include "equal to."

5. **The rational number $$ -2 \frac{1}{4} $$ in the form of $$ \frac{a}{b} $$ is**
   
   **Options:**
   - A. $$ -\frac{7}{4} $$
   - B. $$ \frac{7}{4} $$
   - C. $$ -\frac{9}{4} $$
   
   **Answer:** **C. $$ -\frac{9}{4} $$**
   
   **Solution:**
   $$
   -2 \frac{1}{4} = -\left(2 + \frac{1}{4}\right) = -\frac{8}{4} - \frac{1}{4} = -\frac{9}{4}
   $$

6. **The range of the set of values: $$ 3, 2, 5, 5 $$ and 9 is**
   
   **Options:**
   - A. 2
   - B. 5
   - C. 7
   - D. 9
   
   **Answer:** **C. 7**
   
   **Explanation:**
   $$
   \text{Range} = \text{Maximum value} - \text{Minimum value} = 9 - 2 = 7
   $$

7. **The outlier of the set of values: $$ 17, 13, 15, 78 $$ and 10 is**
   
   **Options:**
   - A. 17
   - B. 13
   - C. 10
   - D. 78
   
   **Answer:** **D. 78**
   
   **Explanation:**
   - **Outlier** refers to a value that is significantly different from the other data points.
   - In this set, **78** is much larger than the other numbers (10, 13, 15, 17).

---

### **Fill in the Blanks**

1. **Distribute 18 biscuits and 12 chocolates equally in number of plates, then the greatest number of plates is $$ \underline{\hspace{3cm}} $$.**

**Answer:** **6 plates**
   
   **Solution:**
   - Find the **G.C.D. of 18 and 12**.
   - **Factors of 18:** 1, 2, 3, 6, 9, 18
   - **Factors of 12:** 1, 2, 3, 4, 6, 12
   - **Greatest Common Factor:** 6

2. **$$ 2 \times 3 + 5 \times 2^{2} = \underline{\hspace{3cm}} $$**

**Answer:** **26**
   
   **Solution:**
   $$
   2 \times 3 + 5 \times 2^{2} = 6 + 5 \times 4 = 6 + 20 = 26
   $$

3. **The algebraic expression of "add double of $$ x $$ to 3" is $$ \underline{\hspace{3cm}} $$.**

**Answer:** **$$ 3 + 2x $$**
   
   **Explanation:**
   - "Double of $$ x $$" is $$ 2x $$.
   - Adding to 3: $$ 3 + 2x $$.

4. **The number and its additive inverse are at equal distance on the number line from $$ \underline{\hspace{3cm}} $$.**

**Answer:** **0**
   
   **Explanation:**
   - A number and its additive inverse (e.g., $$ x $$ and $$ -x $$) are both equally distant from **0** on the number line.

5. **The algebraic equation of " $$ y $$ equals 4 subtracted from the number $$ x $$" is $$ \underline{\hspace{3cm}} $$.**

**Answer:** **$$ y = x - 4 $$**
   
   **Explanation:**
   - "4 subtracted from $$ x $$" translates to $$ x - 4 $$.
   - Therefore, $$ y = x - 4 $$.

---

If you have any further questions or need additional explanations, feel free to ask!
1. The G.C.F of 5 and 8 is **1**. 2. $$ \frac{1}{2} - \frac{1}{3} = \frac{1}{6} $$. 3. The double of 3 is $$ 3 \times 2 $$. 4. The inequality is $$ y \geq -7 $$. 5. $$ -2 \frac{1}{4} = -\frac{9}{4} $$. 6. The range is **7**. 7. The outlier is **78**. For the fill-in-the-blanks: 1. The greatest number of plates is **6**. 2. $$ 2 \times 3 + 5 \times 2^{2} = 26 $$. 3. The expression is $$ 3 + 2x $$. 4. The distance is from **0**. 5. The equation is $$ y = x - 4 $$.

Real Tutor Solution

Answer

Solution

Bonus Knowledge

Related Questions

Latest Arithmetic Questions