Question

unit 1 test review

1. $\frac{3}{5}+\frac{1}{10}$
2. $\frac{1}{9}div\frac{1}{2}$
3. $\frac{4}{6}-\frac{1}{2}$
4. multiply the decimals together. round to the 100s place. 4.3932 - 1.33791
5. multiply the decimals together. round to the 10s place. 4.3932 - 1.33791
6. what is the median? what is the minimum? what is the maximum? what is the range? what is one possible value for the lower quarter?
7. what is the relationship? direct indirect no relationship

weight (lbs) height (in)
40 35
48 40
60 45
65 50
80 60
90 65
120 67
140 70

1. solve the division problem by completing the 100 - square grid.

Explanation:

Step1: Find a common - denominator for $\frac{3}{5}+\frac{1}{10}$

The common denominator of 5 and 10 is 10. Rewrite $\frac{3}{5}$ as $\frac{6}{10}$. Then $\frac{3}{5}+\frac{1}{10}=\frac{6}{10}+\frac{1}{10}=\frac{6 + 1}{10}=\frac{7}{10}$.

Step2: Solve $\frac{1}{9}\div\frac{1}{2}$

Dividing by a fraction is the same as multiplying by its reciprocal. So $\frac{1}{9}\div\frac{1}{2}=\frac{1}{9}\times\frac{2}{1}= \frac{2}{9}$.

Step3: Simplify $\frac{4}{6}\times\frac{1}{2}$

First, simplify $\frac{4}{6}$ to $\frac{2}{3}$. Then $\frac{2}{3}\times\frac{1}{2}=\frac{2\times1}{3\times2}=\frac{1}{3}$.

Step4: Multiply $4.3932\times1.33791$

$4.3932\times1.33791 = 5.87977\approx5.88$ (rounded to the hundredths place).

Step5: Multiply $4.3932\times1.33791$ and round to the tenths place

$4.3932\times1.33791 = 5.87977\approx5.9$ (rounded to the tenths place).

Step6: Analyze the box - and - whisker plot

The minimum is 68, the maximum is 194, the median is 142, the range is $194 - 68=126$, and a possible value for the lower quarter could be 110.

Step7: Determine the relationship

As the weight (in lbs) increases, the height (in inches) generally increases. So there is a direct relationship.

Step8: (No clear division problem given for the 100 - square grid, assuming a general division concept)

If we consider a division problem like $a\div b$, we can represent it on the 100 - square grid by shading appropriate number of squares. But without a specific division problem, we can't give a definite answer.

Answer:

1. $\frac{7}{10}$
2. $\frac{2}{9}$
3. $\frac{1}{3}$
4. $5.88$
5. $5.9$
6. Minimum: 68, Maximum: 194, Median: 142, Range: 126, Lower - quarter (possible value): 110
7. Direct
8. No specific answer without a given division problem for the grid.