Question 1

Simplify.
-$6+(-8)-(-1)-6$

Accepted Answer

The expression simplifies as follows: $6 + (-8) - (-1) - 6 = 6 - 8 + 1 - 6 = -7$.

Question 2

Simplify.
-$-9-0-(-8)-2+7$

Accepted Answer

The expression simplifies as follows: $-9 - 0 + 8 - 2 + 7 = -1 + 5 = 4$.

Question 3

Simplify.
-$-17+14-10-(-18)+6$

Accepted Answer

Simplifying the expression: $-17 + 14 - 10 + 18 + 6 = 11$.

Question 4

Simplify.
-$-9+(-14)+(-4)+(-7)+2+(-5)$

Accepted Answer

When you add together the numbers, the sum is $-9 - 14 - 4 - 7 + 2 - 5 = -37$.

Question 5

Simplify.
-$15+(-18)+13+(-3)+8+(-20)$

Accepted Answer

The answer of Simplify.
-$15+(-18)+13+(-3)+8+(-20)$
...

Question 6

Simplify.
-$-2.1-(-13.1)-(-8.7)$

Accepted Answer

Subtracting a negative is the same as adding the positive equivalent. So, $-2.1-(-13.1)-(-8.7) = -2.1 + 13.1 + 8.7 = 19.7.$

Question 7

Simplify.
-$\frac{3}{4}-\left(-\frac{5}{16}\right)+\frac{1}{2}-\frac{5}{8}$

Accepted Answer

To simplify the expression, first convert all fractions to have a common denominator, which in this case is 16. This gives us $\frac{12}{16} + \frac{5}{16} + \frac{8}{16} - \frac{10}{16}$. Adding and subtracting these fractions gives $\frac{15}{16}$.

Question 8

Simplify.
-$\frac{7}{23}-\frac{13}{46}+\frac{4}{23}-\frac{5}{46}$

Accepted Answer

To simplify the expression, first find a common denominator, which is 46 in this case. Convert $\frac{7}{23}$ and $\frac{4}{23}$ to equivalent fractions with a denominator of 46, resulting in $\frac{14}{46}$ and $\frac{8}{46}$, respectively. Then, the expression becomes $\frac{14}{46} - \frac{13}{46} + \frac{8}{46} - \frac{5}{46}$, which simplifies to $\frac{4}{46}$, and further simplifies to $\frac{2}{23}$ after dividing both the numerator and the denominator by 2.

Question 9

Simplify.
-$-\frac{1}{12}+\frac{7}{9}-\left(-\frac{1}{3}\right)+\frac{1}{2}$

Accepted Answer

First, convert all fractions to have a common denominator of 36: $-\frac{1}{12} = -\frac{3}{36}$, $\frac{7}{9} = \frac{28}{36}$, $-\left(-\frac{1}{3}\right) = \frac{12}{36}$, $\frac{1}{2} = \frac{18}{36}$. Then, add them: $-\frac{3}{36} + \frac{28}{36} + \frac{12}{36} + \frac{18}{36} = \frac{55}{36}$.

Question 10

Solve the problem.
-The stock market gained 44 points on Tuesday and lost 33 points on Wednesday. Find the difference between these changes.

Accepted Answer

The answer of Solve the problem.
-The stock market gained 44...

Question 11

Solve the problem.
-Nikki is fishing from a bank 22 feet above water level. In this location, the fish tend to feed at 34 feet below the surface. How long must Nikki's fish line be to reach the fish?

Accepted Answer

To reach the fish, Nikki's line must extend from 22 feet above water to 34 feet below it, totaling 22 + 34 = 56 feet.

Question 12

Solve the problem.
-Wayne has $\$ 13.37$ in his wallet. Janice has a debt note for $\$ 11.97$ in her wallet. Find the difference between these amounts.

Accepted Answer

The difference between Wayne's amount and Janice's debt is calculated as $ \$ 13.37 - (-\$ 11.97) = \$ 13.37 + \$ 11.97 = \$ 25.34 $.

Question 13

Solve the problem.
-Company A showed a profit of $\$ 67,310$ last year, while Company B had a loss of $\$ 73,800$. Find the difference between these amounts.

Accepted Answer

The difference between a profit and a loss is calculated by adding the absolute values of both amounts: $ \$ 67,310 + \$ 73,800 = \$ 141,110 $.

Question 14

Solve the problem.
-The temperature at the South pole was $-2^{\circ}$ at $8 \mathrm{am}$. At $3 \mathrm{pm}$, it was $8^{\circ}$. By how many degrees did the temperature rise?

Accepted Answer

The temperature rose from $-2^{\circ}$ to $8^{\circ}$, which is an increase of $8 - (-2) = 10^{\circ}$.

Question 15

Solve the problem.
-The ocean surface is at $0 \mathrm{ft}$ elevation. A diver is underwater at an elevation of $-173 \mathrm{ft}$ near a rock formation. In this area, the ocean floor has an elevation of $-296 \mathrm{ft}$. The rock formation rises to a peak $169 \mathrm{ft}$ above the ocean floor. How many feet below the top of the rock formation is the diver?

Accepted Answer

The peak of the rock formation is at $-296 \mathrm{ft} + 169 \mathrm{ft} = -127 \mathrm{ft}$. The diver is at $-173 \mathrm{ft}$, so the difference is $-127 \mathrm{ft} - (-173 \mathrm{ft}) = 46 \mathrm{ft}$.

Question 16

Solve the problem.
-After one round in a card game, your score was -20 points. After the second round, your score was 23 points. How many points did you gain in the second game?

Accepted Answer

To find the points gained in the second game, subtract the score after the first round from the score after the second round: 23 - (-20) = 23 + 20 = 43 points.

Question 17

Solve the problem.
-In a certain location, the highest temperature recorded was $103^{\circ} \mathrm{F}$. The lowest temperature recorded was 131 degrees less than the highest. What was the lowest temperature?

Accepted Answer

The lowest temperature is 131 degrees less than the highest, so $103 - 131 = -28^{\circ} \mathrm{F}$.

Question 18

Solve the problem.
-The two charts show the weight gain of some people and the weight loss of other people. Use the information given to answer the question below.

What is the difference between the weight gain of Carl and the weight loss of Don?

Accepted Answer

The answer of Solve the problem.
-The two charts show the...

Question 19

Multiply.
-$-6 \cdot 2$

Accepted Answer

When multiplying two numbers where one is negative and the other is positive, the result is negative. Therefore, $-6 \cdot 2 = -12$.

Question 20

Multiply.
-$-3 \cdot 11$

Accepted Answer

When you multiply -3 by 11, you get -33.

Quiz 7: Introduction to Real Numbers and Algebraic Expressions

Simplify. - $6+(-8) -(-1) -6$

Simplify. - $-9-0-(-8) -2+7$

Simplify. - $-17+14-10-(-18) +6$

Simplify. - $-9+(-14) +(-4) +(-7) +2+(-5)$

Simplify. - $15+(-18) +13+(-3) +8+(-20)$

Simplify. - $-2.1-(-13.1) -(-8.7)$

Simplify. - $\frac{3}{4}-\left(-\frac{5}{16}\right) +\frac{1}{2}-\frac{5}{8}$

Simplify. - $\frac{7}{23}-\frac{13}{46}+\frac{4}{23}-\frac{5}{46}$

Simplify. - $-\frac{1}{12}+\frac{7}{9}-\left(-\frac{1}{3}\right) +\frac{1}{2}$

Solve the problem. -The stock market gained 44 points on Tuesday and lost 33 points on Wednesday. Find the difference between these changes.

Solve the problem. -Nikki is fishing from a bank 22 feet above water level. In this location, the fish tend to feed at 34 feet below the surface. How long must Nikki's fish line be to reach the fish?

Solve the problem. -Wayne has $\$ 13.37$ in his wallet. Janice has a debt note for $\$ 11.97$ in her wallet. Find the difference between these amounts.

Solve the problem. -Company A showed a profit of $\$ 67,310$ last year, while Company B had a loss of $\$ 73,800$ . Find the difference between these amounts.

Solve the problem. -The temperature at the South pole was $-2^{\circ}$ at $8 \mathrm{am}$ . At $3 \mathrm{pm}$ , it was $8^{\circ}$ . By how many degrees did the temperature rise?

Solve the problem. -After one round in a card game, your score was -20 points. After the second round, your score was 23 points. How many points did you gain in the second game?

Solve the problem. -In a certain location, the highest temperature recorded was $103^{\circ} \mathrm{F}$ . The lowest temperature recorded was 131 degrees less than the highest. What was the lowest temperature?

Solve the problem. -The two charts show the weight gain of some people and the weight loss of other people. Use the information given to answer the question below. What is the difference between the weight gain of Carl and the weight loss of Don?

Multiply. - $-6 \cdot 2$

Multiply. - $-3 \cdot 11$

Quiz 7: Introduction to Real Numbers and Algebraic Expressions

Simplify. - 6+(−8) −(−1) −66+(-8) -(-1) -66+(−8) −(−1) −6

Simplify. - −9−0−(−8) −2+7-9-0-(-8) -2+7−9−0−(−8) −2+7

Simplify. - −17+14−10−(−18) +6-17+14-10-(-18) +6−17+14−10−(−18) +6

Simplify. - −9+(−14) +(−4) +(−7) +2+(−5) -9+(-14) +(-4) +(-7) +2+(-5) −9+(−14) +(−4) +(−7) +2+(−5)

Simplify. - 15+(−18) +13+(−3) +8+(−20) 15+(-18) +13+(-3) +8+(-20) 15+(−18) +13+(−3) +8+(−20)

Simplify. - −2.1−(−13.1) −(−8.7) -2.1-(-13.1) -(-8.7) −2.1−(−13.1) −(−8.7)

Simplify. - 34−(−516) +12−58\frac{3}{4}-\left(-\frac{5}{16}\right) +\frac{1}{2}-\frac{5}{8}43​−(−165​) +21​−85​

Simplify. - 723−1346+423−546\frac{7}{23}-\frac{13}{46}+\frac{4}{23}-\frac{5}{46}237​−4613​+234​−465​

Simplify. - −112+79−(−13) +12-\frac{1}{12}+\frac{7}{9}-\left(-\frac{1}{3}\right) +\frac{1}{2}−121​+97​−(−31​) +21​