Question 1

Simplify.
-$-13-0-7-(-6)+4$

Accepted Answer

Simplifying the expression gives: $-13 - 0 - 7 + 6 + 4 = -20 + 10 = -10$.

Question 2

Simplify.
-$34+(-71)-25-(-96)$

Accepted Answer

The answer of Simplify.
-$34+(-71)-25-(-96)$
...

Question 3

Simplify.
-$31+(-80)+128-(-26)-94$

Accepted Answer

The simplification process involves combining like terms and taking into account the signs of each number. $31 + (-80) + 128 - (-26) - 94 = 31 - 80 + 128 + 26 - 94 = 11$.

Question 4

After one round in a card game, your score was 33 points. After the second round, your score was - 21 points. How many points did you get in the second game?

Accepted Answer

To find the points scored in the second game, subtract the first round score from the total after two rounds: -21 - 33 = -54.

Question 5

The temperature at the South Pole was $-20^{\circ}$ at 8 A.M. At 3 P.M., it was $42^{\circ}$. By how many degrees did the temperature rise?

Accepted Answer

The temperature rose from $-20^{\circ}$ to $42^{\circ}$, which is a rise of $42 - (-20) = 42 + 20 = 62^{\circ}$.

Question 6

The stock market gained 57 points on Tuesday and lost 54 points on Wednesday. It had closed on Monday at 2718 points. Where did the market close on Wednesday?

Accepted Answer

The market closed on Monday at 2718 points. On Tuesday, it gained 57 points, making it 2775 points. On Wednesday, it lost 54 points, bringing it down to 2721 points.

Question 7

During one year 28 new employees began work at Daniel's Manufacturing Company and 19 employees left. At the beginning of the year there were 219 employees. What was the number of employees at the end of the year?

Accepted Answer

The number of employees at the end of the year is calculated by adding the new employees and subtracting those who left from the initial number: 219 + 28 - 19 = 228 employees.

Question 8

A football team gained 40 yards on one play, lost 33 yards on another, and gained 37 yards on the last play of the first half. They had already gained 268yards during the half. What was the total yardage gain for the first half?

Accepted Answer

The total yardage gain is calculated by adding the gains and subtracting the losses from the initial yardage: 268 + 40 + 37 - 33 = 312 yards.

Question 9

In four rounds of a card game, you get scores of $5,10,-1$, and 2 . What is your final score?

Accepted Answer

The final score is calculated by summing up all the scores: $5 + 10 - 1 + 2 = 16$.

Question 10

Your bank account has $\$ 89$ in it when you write checks for $\$ 19$, $\$ 34$, and $\$ 11$. You then deposit $\$ 19$ and $\$ 23$. How much is in the account? Are you overdrawn?

Accepted Answer

Starting with $89, subtracting the checks ($19 + $34 + $11 = $64), and then adding the deposits ($19 + $23 = $42) results in $89 - $64 + $42 = $67, so you are not overdrawn.

Question 11

A bike road race starts at an elevation of 600 feet and passes through 5 stages where the elevation changes by 509 feet, - 312 feet, 588 feet, 309 feet, and - 407 feet. At what elevation does the race end?

Accepted Answer

The race ends at an elevation of 1287 feet. This is calculated by starting at 600 feet and adding each elevation change in sequence: 600 + 509 - 312 + 588 + 309 - 407 = 1287 feet.

Question 12

Nikki is fishing from a bank 39 feet above water level. In this location, the fish tend to feed at 49 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 the bank down to the water level (39 feet) and then further down to where the fish are feeding (49 feet). Adding these two distances gives a total of 39 + 49 = 88 feet.

Question 13

In a certain location, the highest temperature reconded was $100^{\circ} \mathrm{F}$. The lowest temperature recorded was 128 degrees less than the highest. What was the lowest temperature?

Accepted Answer

The lowest temperature is calculated by subtracting 128 degrees from the highest temperature: $100^{\circ} \mathrm{F} - 128^{\circ} \mathrm{F} = -28^{\circ} \mathrm{F}$.

Question 14

Multiply
-$16(-5)$

Accepted Answer

Multiplying 16 by -5 gives -80, as the rule for multiplication states that a positive number times a negative number results in a negative product.

Question 15

Multiply
-$-12 \cdot 12$

Accepted Answer

Multiplying -12 by 12 gives -144 because when you multiply a negative number by a positive number, the result is negative, and 12 times 12 equals 144.

Question 16

Multiply
-$-10(-3)$

Accepted Answer

Multiplying two negative numbers results in a positive number, so $-10 \times -3 = 30$.

Question 17

Multiply
-$-5(2)$

Accepted Answer

When multiplying -5 by 2, you multiply the numbers normally (5 * 2 = 10) and then apply the negative sign, resulting in -10.

Question 18

Multiply
-$0(-33)$

Accepted Answer

Multiplying any number by 0 results in 0, hence $0 \times (-33) = 0$.

Question 19

Multiply
-14(- 1)

Accepted Answer

Multiplying 14 by -1 gives -14, as multiplying a positive number by a negative number results in a negative product.

Question 20

Multiply
-$-1 \cdot 15$

Accepted Answer

Multiplying a negative number by a positive number results in a negative number. Therefore, $-1 \cdot 15 = -15$.

Quiz 1: Review of Real Numbers

Simplify. - $-13-0-7-(-6) +4$

Simplify. - $34+(-71) -25-(-96)$

Simplify. - $31+(-80) +128-(-26) -94$

After one round in a card game, your score was 33 points. After the second round, your score was - 21 points. How many points did you get in the second game?

The temperature at the South Pole was $-20^{\circ}$ at 8 A.M. At 3 P.M., it was $42^{\circ}$ . By how many degrees did the temperature rise?

The stock market gained 57 points on Tuesday and lost 54 points on Wednesday. It had closed on Monday at 2718 points. Where did the market close on Wednesday?

During one year 28 new employees began work at Daniel's Manufacturing Company and 19 employees left. At the beginning of the year there were 219 employees. What was the number of employees at the end of the year?

A football team gained 40 yards on one play, lost 33 yards on another, and gained 37 yards on the last play of the first half. They had already gained 268yards during the half. What was the total yardage gain for the first half?

In four rounds of a card game, you get scores of $5,10,-1$ , and 2 . What is your final score?

Your bank account has $\$ 89$ in it when you write checks for $\$ 19$ , $\$ 34$ , and $\$ 11$ . You then deposit $\$ 19$ and $\$ 23$ . How much is in the account? Are you overdrawn?

A bike road race starts at an elevation of 600 feet and passes through 5 stages where the elevation changes by 509 feet, - 312 feet, 588 feet, 309 feet, and - 407 feet. At what elevation does the race end?

Nikki is fishing from a bank 39 feet above water level. In this location, the fish tend to feed at 49 feet below the surface. How long must Nikki's fish line be to reach the fish?

In a certain location, the highest temperature reconded was $100^{\circ} \mathrm{F}$ . The lowest temperature recorded was 128 degrees less than the highest. What was the lowest temperature?

Multiply - $16(-5)$

Multiply - $-12 \cdot 12$

Multiply - $-10(-3)$

Multiply - $-5(2)$

Multiply - $0(-33)$

Multiply -14(- 1)

Multiply - $-1 \cdot 15$

Quiz 1: Review of Real Numbers

Simplify. - −13−0−7−(−6) +4-13-0-7-(-6) +4−13−0−7−(−6) +4

Simplify. - 34+(−71) −25−(−96) 34+(-71) -25-(-96) 34+(−71) −25−(−96)

Simplify. - 31+(−80) +128−(−26) −9431+(-80) +128-(-26) -9431+(−80) +128−(−26) −94

After one round in a card game, your score was 33 points. After the second round, your score was - 21 points. How many points did you get in the second game?

The temperature at the South Pole was −20∘-20^{\circ}−20∘ at 8 A.M. At 3 P.M., it was 42∘42^{\circ}42∘ . By how many degrees did the temperature rise?

The stock market gained 57 points on Tuesday and lost 54 points on Wednesday. It had closed on Monday at 2718 points. Where did the market close on Wednesday?

During one year 28 new employees began work at Daniel's Manufacturing Company and 19 employees left. At the beginning of the year there were 219 employees. What was the number of employees at the end of the year?

A football team gained 40 yards on one play, lost 33 yards on another, and gained 37 yards on the last play of the first half. They had already gained 268yards during the half. What was the total yardage gain for the first half?

In four rounds of a card game, you get scores of 5,10,−15,10,-15,10,−1 , and 2 . What is your final score?

Your bank account has $89\$ 89$89 in it when you write checks for $19\$ 19$19 , $34\$ 34$34 , and $11\$ 11$11 . You then deposit $19\$ 19$19 and $23\$ 23$23 . How much is in the account? Are you overdrawn?

A bike road race starts at an elevation of 600 feet and passes through 5 stages where the elevation changes by 509 feet, - 312 feet, 588 feet, 309 feet, and - 407 feet. At what elevation does the race end?

Nikki is fishing from a bank 39 feet above water level. In this location, the fish tend to feed at 49 feet below the surface. How long must Nikki's fish line be to reach the fish?

In a certain location, the highest temperature reconded was 100∘F100^{\circ} \mathrm{F}100∘F . The lowest temperature recorded was 128 degrees less than the highest. What was the lowest temperature?

Multiply - 16(−5) 16(-5) 16(−5)

Multiply - −12⋅12-12 \cdot 12−12⋅12

Multiply - −10(−3) -10(-3) −10(−3)

Multiply - −5(2) -5(2) −5(2)

Multiply - 0(−33) 0(-33) 0(−33)

Multiply -14(- 1)

Multiply - −1⋅15-1 \cdot 15−1⋅15

Simplify. - $-13-0-7-(-6) +4$

Simplify. - $34+(-71) -25-(-96)$

Simplify. - $31+(-80) +128-(-26) -94$

The temperature at the South Pole was $-20^{\circ}$ at 8 A.M. At 3 P.M., it was $42^{\circ}$ . By how many degrees did the temperature rise?

In four rounds of a card game, you get scores of $5,10,-1$ , and 2 . What is your final score?

Your bank account has $\$ 89$ in it when you write checks for $\$ 19$ , $\$ 34$ , and $\$ 11$ . You then deposit $\$ 19$ and $\$ 23$ . How much is in the account? Are you overdrawn?

In a certain location, the highest temperature reconded was $100^{\circ} \mathrm{F}$ . The lowest temperature recorded was 128 degrees less than the highest. What was the lowest temperature?

Multiply - $16(-5)$

Multiply - $-12 \cdot 12$

Multiply - $-10(-3)$

Multiply - $-5(2)$

Multiply - $0(-33)$

Multiply - $-1 \cdot 15$