Question 1

Solve.
-On part of a scenic tour of underground caves, Dave and Neil started at an elevation of - 41 feet. They then rose 16 feet. What was their elevation at this point? 
A) $- 25 \mathrm { ft }$
B) $25 \mathrm { ft }$
C) $57 \mathrm { ft }$
D) $- 57 \mathrm { ft }$

Accepted Answer

Starting at -41 feet and rising 16 feet results in -41 + 16 = -25 feet.

Question 2

Add.
-$[ 15 + ( - 2 ) ] + [ 2 + ( - 14 ) ]$
A) 25
B) 33
C) $- 3$
D) 1

Accepted Answer

The expression simplifies to $[15 - 2] + [2 - 14]$, which equals $13 - 12$, resulting in 1.

Question 3

Solve.
-A bike road race starts at an elevation of 800 feet and passes through 5 stages where the elevation changes by $- 102$ feet, 596 feet, $- 24$ feet, $- 63$ feet, and 286 feet. At what elevation does the race end?
A) $1493 \mathrm { ft }$
B) $- 1871 \mathrm { ft }$
C) $1871 \mathrm { ft }$
D) $529 \mathrm { ft }$

Accepted Answer

To find the ending elevation, add all the elevation changes to the starting elevation: $800 - 102 + 596 - 24 - 63 + 286 = 1493$ feet.

Question 4

Find the additive inverse or opposite.
-10
A) 0
B) $- 10$
C) $\frac { 1 } { 10 }$
D) 10

Accepted Answer

The additive inverse or opposite of a number is the number that, when added to the original number, results in zero. For 10, the additive inverse is -10 because 10 + (-10) = 0.

Question 5

Add.
-$- 1.7 + [ 0.6 + ( - 0.2 ) + 0.5 ]$
A) $2.6$
B) $3.2$
C) $- 0.8$
D) $- 0.4$

Accepted Answer

The answer of Add.
-\(- 1.7 + [ 0.6 + (...

Question 6

Add.
-$| - 17 | + 28$
A) 11
B) $- 45$
C) $- 11$
D) 45

Accepted Answer

The answer of Add.
-$| - 17 | + 28$
A) 11
B)...

Question 7

Solve.
-At the start of a chemistry experiment, Sarah measured the temperature of a liquid to be -15°C. At  the end of the experiment, it had risen 45°C. What was the liquid's temperature at the end of the Experiment? 
A) $- 60 ^ { \circ } \mathrm { C }$
B) $- 30 ^ { \circ } \mathrm { C }$
C) $30 ^ { \circ } \mathrm { C }$
D) $60 ^ { \circ } \mathrm { C }$

Accepted Answer

The liquid's temperature at the end of the experiment was $30 ^ { \circ } \mathrm { C }$ because it rose from $-15 ^ { \circ } \mathrm { C }$ by $45 ^ { \circ } \mathrm { C }$, resulting in $-15 ^ { \circ } \mathrm { C } + 45 ^ { \circ } \mathrm { C } = 30 ^ { \circ } \mathrm { C }$.

Question 8

Add.
--8.3 + (-2.6)
A) -10.9
B) 10.9
C) 5.7
D) -5.7

Accepted Answer

When adding two negative numbers, you add their absolute values and keep the negative sign. So, -8.3 + (-2.6) = -(8.3 + 2.6) = -10.9.

Question 9

Solve.
-Lauren scored 6 points in her basketball game on Monday, 11 on Wednesday, 19 on Friday, and 4 on Saturday. Find her total points scored for the week.
A) 40 points
B) 41 points
C) 36 points
D) 39 points

Accepted Answer

Lauren's total points for the week are calculated by adding the points from each game: 6 + 11 + 19 + 4 = 40 points.

Question 10

Solve.
-The Neighborhood Lemonade Stand, Inc. reported net incomes of -$361, -$264, and -$235 for the  past three years. What was its total net income for these three years? 
A) $- \$ 625$
B) $- \$ 860$
C) $- \$ 499$
D) $\$ 860$

Accepted Answer

To find the total net income, add the net incomes for each year: $-\$361 + (-\$264) + (-\$235) = -\$860$.

Question 11

Find the additive inverse or opposite.
-$| - 29 |$
A) $- 29$
B) $- \frac { 1 } { 29 }$
C) 0
D) 29

Accepted Answer

The additive inverse of a number is the number that, when added to the original number, results in zero. In this case, the additive inverse of -29 is 29, because -29 + 29 = 0.

Question 12

Add.
-5.6 + (-9.9)
A) 4.3
B) 15.5
C) -15.5
D) -4.3

Accepted Answer

When adding a positive number (5.6) and a negative number (-9.9), you subtract the smaller number from the larger and keep the sign of the larger number. Here, 9.9 - 5.6 = 4.3, and since the larger number is negative, the result is -4.3.

Question 13

Find the additive inverse or opposite.
-$\frac { 5 } { 7 }$
A) $- \frac { 7 } { 5 }$
B) $\frac { 7 } { 5 }$
C) $- \frac { 5 } { 7 }$
D) $\frac { 5 } { 7 }$

Accepted Answer

The additive inverse or opposite of a number is what you add to that number to get zero. For $\frac{5}{7}$, its additive inverse is $-\frac{5}{7}$ because $\frac{5}{7} + (-\frac{5}{7}) = 0$.

Question 14

Solve.
-In four rounds of a card game, you get scores of 8, -2, -8, and 6. What is your final score? 
A) 24
B) 4
C) $- 24$
D) $- 4$

Accepted Answer

To find the final score, add the scores from all four rounds: 8 + (-2) + (-8) + 6 = 4.

Question 15

Find the additive inverse or opposite.
-0
A) $- 1$
B) 0
C) 1
D) no additive inverse or opposite

Accepted Answer

The additive inverse or opposite of a number is what you add to that number to get zero. For 0, its additive inverse is also 0 because 0 + 0 = 0.

Question 16

Add.
-$| 5 + ( - 10 ) |$
A) $- 5$
B) 5
C) 15
D) $- 50$

Accepted Answer

The expression inside the absolute value is $5 + (-10) = -5$. The absolute value of $-5$ is $5$.

Question 17

Find the additive inverse or opposite.
-$| 28 |$
A) $\frac { 1 } { 28 }$
B) 0
C) $- 28$
D) 28

Accepted Answer

The additive inverse or opposite of a number is the number that, when added to the original number, results in zero. The absolute value of 28 is 28, so its additive inverse is -28.

Question 18

Find the additive inverse or opposite.
-$- 15$
A) $- \frac { 1 } { 15 }$
B) 0
C) 15
D) $- 15$

Accepted Answer

The additive inverse or opposite of a number is the number that, when added to the original number, results in zero. For $-15$, the additive inverse is $15$ because $-15 + 15 = 0$.

Question 19

Add.
-$- | 5 | + | 10 |$
A) $- 5$
B) 15
C) $- 15$
D) 5

Accepted Answer

The absolute value of a number is always non-negative. $|5| = 5$ and $|10| = 10$. So, $-|5| + |10| = -5 + 10 = 5$.

Question 20

Add.
-$34 + ( - 54 ) | + | - 60 \mid$
A) 80
B) $- 108$
C) 108
D) 50

Accepted Answer

The answer of Add.
-\(34 + ( - 54 ) |...

Quiz 1: Review of Real Numbers

Solve. -On part of a scenic tour of underground caves, Dave and Neil started at an elevation of - 41 feet. They then rose 16 feet. What was their elevation at this point?

Add. - $[ 15 + ( - 2 ) ] + [ 2 + ( - 14 ) ]$

Solve. -A bike road race starts at an elevation of 800 feet and passes through 5 stages where the elevation changes by $- 102$ feet, 596 feet, $- 24$ feet, $- 63$ feet, and 286 feet. At what elevation does the race end?

Find the additive inverse or opposite. -10

Add. - $- 1.7 + [ 0.6 + ( - 0.2 ) + 0.5 ]$

Add. - $| - 17 | + 28$

Solve. -At the start of a chemistry experiment, Sarah measured the temperature of a liquid to be -15°C. At the end of the experiment, it had risen 45°C. What was the liquid's temperature at the end of the Experiment?

Add. --8.3 + (-2.6)

Solve. -Lauren scored 6 points in her basketball game on Monday, 11 on Wednesday, 19 on Friday, and 4 on Saturday. Find her total points scored for the week.

Solve. -The Neighborhood Lemonade Stand, Inc. reported net incomes of -$361, -$264, and -$235 for the past three years. What was its total net income for these three years?

Find the additive inverse or opposite. - $| - 29 |$

Add. -5.6 + (-9.9)

Find the additive inverse or opposite. - $\frac { 5 } { 7 }$

Solve. -In four rounds of a card game, you get scores of 8, -2, -8, and 6. What is your final score?

Find the additive inverse or opposite. -0

Add. - $| 5 + ( - 10 ) |$

Find the additive inverse or opposite. - $| 28 |$

Find the additive inverse or opposite. - $- 15$

Add. - $- | 5 | + | 10 |$

Add. - $34 + ( - 54 ) | + | - 60 \mid$

Quiz 1: Review of Real Numbers

Solve. -On part of a scenic tour of underground caves, Dave and Neil started at an elevation of - 41 feet. They then rose 16 feet. What was their elevation at this point?

Add. - [15+(−2) ]+[2+(−14) ][ 15 + ( - 2 ) ] + [ 2 + ( - 14 ) ][15+(−2) ]+[2+(−14) ]

Solve. -A bike road race starts at an elevation of 800 feet and passes through 5 stages where the elevation changes by −102- 102−102 feet, 596 feet, −24- 24−24 feet, −63- 63−63 feet, and 286 feet. At what elevation does the race end?

Find the additive inverse or opposite. -10

Add. - −1.7+[0.6+(−0.2) +0.5]- 1.7 + [ 0.6 + ( - 0.2 ) + 0.5 ]−1.7+[0.6+(−0.2) +0.5]

Add. - ∣−17∣+28| - 17 | + 28∣−17∣+28