Question 1

Simplify.
-$13-0-14-(-15)+(-12)$

Accepted Answer

The expression simplifies as follows: $13 - 0 - 14 + 15 - 12 = 13 - 14 + 15 - 12 = -1 + 15 - 12 = 14 - 12 = 2$.

Question 2

Simplify.
-$-7+19-(-12)-6+5$

Accepted Answer

The expression simplifies as follows: $-7 + 19 + 12 - 6 + 5 = 23$.

Question 3

Simplify.
-$-9+(-12)+(-11)+(-8)+4+(-15)$

Accepted Answer

To simplify, add all the negative numbers together and then add the positive number: $-9 - 12 - 11 - 8 - 15 + 4 = -51$.

Question 4

Simplify.
-$11+(-17)+3+(-6)+2+(-9)$

Accepted Answer

The sum of the numbers is $11 - 17 + 3 - 6 + 2 - 9 = -16$.

Question 5

Simplify.
-$7.3-(-11.2)-(-9.3)$

Accepted Answer

The expression simplifies to $7.3 + 11.2 + 9.3 = 27.8$.

Question 6

Simplify.
-$\frac{3}{4}-\left(-\frac{1}{16}\right)+\frac{1}{2}-\frac{7}{8}$

Accepted Answer

The answer of Simplify.
-$\frac{3}{4}-\left(-\frac{1}{16}\right)+\frac{1}{2}-\frac{7}{8}$
...

Question 7

Simplify.
-$\frac{1}{7}-\frac{5}{42}+\frac{1}{7}-\frac{1}{14}$

Accepted Answer

First, find a common denominator for all fractions, which is 42. Convert each fraction: $\frac{1}{7} = \frac{6}{42}$, $\frac{5}{42}$ stays the same, $\frac{1}{14} = \frac{3}{42}$. The expression becomes $\frac{6}{42} - \frac{5}{42} + \frac{6}{42} - \frac{3}{42} = \frac{4}{42} = \frac{2}{21}$.

Question 8

Simplify.
-$-\frac{19}{20}+\frac{1}{15}-\left(-\frac{1}{5}\right)+\frac{3}{5}$

Accepted Answer

The answer of Simplify.
-$-\frac{19}{20}+\frac{1}{15}-\left(-\frac{1}{5}\right)+\frac{3}{5}$
...

Question 9

Solve the problem.
-The stock market gained 18 points on Tuesday and lost 36 points on Wednesday. Find the difference between these changes.

Accepted Answer

The difference between gaining 18 points and losing 36 points is 54 points (18 + 36 = 54).

Question 10

Solve the problem.
-Nikki is fishing from a bank 23 feet above water level. In this location, the fish tend to feed at 43 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 her position above the water down to the fish below the surface. This requires adding the distance from the bank to the water level (23 feet) to the depth at which the fish feed (43 feet), totaling 66 feet.

Question 11

Solve the problem.
-Wayne has $\$ 27.34$ in his wallet. Janice has a debt note for $\$ 18.18$ in her wallet. Find the difference between these amounts.

Accepted Answer

The difference between Wayne's amount and Janice's debt is calculated by subtracting Janice's debt from Wayne's amount: $ \$ 27.34 - (-\$ 18.18) = \$ 27.34 + \$ 18.18 = \$ 45.52 $.

Question 12

Solve the problem.
-Company A showed a profit of $\$ 63,100$ last year, while Company B had a loss of $\$ 88,390$. Find the difference between these amounts.

Accepted Answer

The difference between the profit of Company A and the loss of Company B is calculated by subtracting the loss from the profit: $ \$ 63,100 - (-\$ 88,390) = \$ 63,100 + \$ 88,390 = \$ 151,490 $.

Question 13

Solve the problem.
-The temperature at the South pole was $-25^{\circ}$ at $8 \mathrm{am}$. At $3 \mathrm{pm}$, it was $35^{\circ}$. By how many degrees did the temperature rise?

Accepted Answer

The temperature rose from $-25^{\circ}$ to $35^{\circ}$, which is a difference of $35 - (-25) = 60^{\circ}$.

Question 14

Solve the problem.
-The ocean surface is at $0 \mathrm{ft}$ elevation. A diver is underwater at an elevation of $-225 \mathrm{ft}$ near a rock formation. In this area, the ocean floor has an elevation of $-260 \mathrm{ft}$. The rock formation rises to a peak $209 \mathrm{ft}$ above the ocean floor. How many feet below the top of the rock formation is the diver?

Accepted Answer

The diver is 225 ft below the surface and the rock formation is 209 ft above the ocean floor. So the diver is 225 - 209 = 16 ft below the top of the rock formation.

Question 15

Solve the problem.
-After one round in a card game, your score was -23 points. After the second round, your score was 15 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: 15 - (-23) = 15 + 23 = 38 points.

Question 16

Solve the problem.
-In a certain location, the highest temperature recorded was $102^{\circ} \mathrm{F}$. The lowest temperature recorded was 124 degrees less than the highest. What was the lowest temperature?

Accepted Answer

The lowest temperature is 124 degrees less than the highest temperature of $102^{\circ} \mathrm{F}$. So, $102 - 124 = -22^{\circ} \mathrm{F}$.

Question 17

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 Bob and the weight loss of Ed?

Accepted Answer

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

Question 18

Multiply.
-$-11 \cdot 5$

Accepted Answer

When multiplying a negative number by a positive number, the result is negative. Therefore, $-11 \cdot 5 = -55$.

Question 19

Multiply.
-$-18 \cdot 5$

Accepted Answer

Multiplying -18 by 5 gives -90.

Question 20

Multiply.
-$-4 \cdot(-4)$

Accepted Answer

When you multiply two negative numbers, the result is positive. Therefore, $-4 \cdot(-4) = 16$.

Quiz 1: Introduction to Real Numbers and Algebraic Expressions

Simplify. - $13-0-14-(-15) +(-12)$

Simplify. - $-7+19-(-12) -6+5$

Simplify. - $-9+(-12) +(-11) +(-8) +4+(-15)$

Simplify. - $11+(-17) +3+(-6) +2+(-9)$

Simplify. - $7.3-(-11.2) -(-9.3)$

Simplify. - $\frac{3}{4}-\left(-\frac{1}{16}\right) +\frac{1}{2}-\frac{7}{8}$

Simplify. - $\frac{1}{7}-\frac{5}{42}+\frac{1}{7}-\frac{1}{14}$

Simplify. - $-\frac{19}{20}+\frac{1}{15}-\left(-\frac{1}{5}\right) +\frac{3}{5}$

Solve the problem. -The stock market gained 18 points on Tuesday and lost 36 points on Wednesday. Find the difference between these changes.

Solve the problem. -Nikki is fishing from a bank 23 feet above water level. In this location, the fish tend to feed at 43 feet below the surface. How long must Nikki's fish line be to reach the fish?

Solve the problem. -Wayne has $\$ 27.34$ in his wallet. Janice has a debt note for $\$ 18.18$ in her wallet. Find the difference between these amounts.

Solve the problem. -Company A showed a profit of $\$ 63,100$ last year, while Company B had a loss of $\$ 88,390$ . Find the difference between these amounts.

Solve the problem. -The temperature at the South pole was $-25^{\circ}$ at $8 \mathrm{am}$ . At $3 \mathrm{pm}$ , it was $35^{\circ}$ . By how many degrees did the temperature rise?

Solve the problem. -After one round in a card game, your score was -23 points. After the second round, your score was 15 points. How many points did you gain in the second game?

Solve the problem. -In a certain location, the highest temperature recorded was $102^{\circ} \mathrm{F}$ . The lowest temperature recorded was 124 degrees less than the highest. What was the lowest temperature?

Multiply. - $-11 \cdot 5$

Multiply. - $-18 \cdot 5$

Multiply. - $-4 \cdot(-4)$

Quiz 1: Introduction to Real Numbers and Algebraic Expressions

Simplify. - 13−0−14−(−15) +(−12) 13-0-14-(-15) +(-12) 13−0−14−(−15) +(−12)

Simplify. - −7+19−(−12) −6+5-7+19-(-12) -6+5−7+19−(−12) −6+5

Simplify. - −9+(−12) +(−11) +(−8) +4+(−15) -9+(-12) +(-11) +(-8) +4+(-15) −9+(−12) +(−11) +(−8) +4+(−15)

Simplify. - 11+(−17) +3+(−6) +2+(−9) 11+(-17) +3+(-6) +2+(-9) 11+(−17) +3+(−6) +2+(−9)

Simplify. - 7.3−(−11.2) −(−9.3) 7.3-(-11.2) -(-9.3) 7.3−(−11.2) −(−9.3)

Simplify. - 34−(−116) +12−78\frac{3}{4}-\left(-\frac{1}{16}\right) +\frac{1}{2}-\frac{7}{8}43​−(−161​) +21​−87​

Simplify. - 17−542+17−114\frac{1}{7}-\frac{5}{42}+\frac{1}{7}-\frac{1}{14}71​−425​+71​−141​

Simplify. - −1920+115−(−15) +35-\frac{19}{20}+\frac{1}{15}-\left(-\frac{1}{5}\right) +\frac{3}{5}−2019​+151​−(−51​) +53​

Solve the problem. -The stock market gained 18 points on Tuesday and lost 36 points on Wednesday. Find the difference between these changes.

Solve the problem. -Nikki is fishing from a bank 23 feet above water level. In this location, the fish tend to feed at 43 feet below the surface. How long must Nikki's fish line be to reach the fish?

Solve the problem. -Wayne has $27.34\$ 27.34$27.34 in his wallet. Janice has a debt note for $18.18\$ 18.18$18.18 in her wallet. Find the difference between these amounts.

Solve the problem. -Company A showed a profit of $63,100\$ 63,100$63,100 last year, while Company B had a loss of $88,390\$ 88,390$88,390 . Find the difference between these amounts.

Solve the problem. -The temperature at the South pole was −25∘-25^{\circ}−25∘ at 8am8 \mathrm{am}8am . At 3pm3 \mathrm{pm}3pm , it was 35∘35^{\circ}35∘ . By how many degrees did the temperature rise?