Question 1

Evaluate -|-56|.
A) 56
B) 1
C) -56
D) -1
E) 0

Accepted Answer

The absolute value of -56 is 56, and the negative of that is -56.

Question 2

Place the correct symbol, <, =, or >, between the two numbers. |-2| ____ |3| A) = B) < C) >

Accepted Answer

B

Question 3

Evaluate |-31|.
A) -31
B) 1
C) 31
D) -1
E) 0

Accepted Answer

The absolute value of a number is the distance of that number from zero on the number line. Therefore, the absolute value of -31 is the distance between -31 and 0, which is 31. So, |-31| equals 31.

Question 4

Find the absolute value of the number 20.
A) -20
B) 1
C) -1
D) 20
E) 0

Accepted Answer

The absolute value of a number is always positive, so we can eliminate choices A, B, and C because they are negative or equal to 1. Choice E is also incorrect because the absolute value of 0 is 0. The only remaining choice is D, which is 20, the positive value of the number. Therefore, the answer is D.

Question 5

Graph the numbers on the number line. 2 and 4
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Graph the numbers on the number line....

Question 6

Place the correct symbol, < or >, between the two numbers. 3 ___ -1 A) < B) >

Accepted Answer

3 is greater than -1.

Question 7

Write the given numbers in order from smallest to largest. -1, -19, 12, 5, 0
A) 5, -1, -19, 12, 0
B) -19, 12, 5, 0, 12
C) 0, 12, 5, -19, -1
D) -19, -1, 0, 5, 12
E) -19, -1, 0, 12, 5

Accepted Answer

The numbers in the given list are:
-1, -19, 12, 5, 0
From these numbers, the smallest number is -19 and the largest number is 12. Therefore, the correct order of the numbers from smallest to largest is:
-19, -1, 0, 5, 12
Option D is the only one which has this order. Hence, D is the correct answer.

Question 8

State which number on the number line is in the location given below. 7 units to the left of -2
A) 9
B) -10
C) -9
D) 5
E) 10

Accepted Answer

7 units to the left of -2 is -9. The only option that is -9 on the number line is choice C.

Question 9

Place the correct symbol, <, =, or >, between the two numbers. |10| ____ |7| A) = B) > C) <

Accepted Answer

The absolute value of 10 is greater than the absolute value of 7, so 10 is greater than 7. Therefore, the symbol between them should be >.

Question 10

Place the correct symbol, < or >, between the two numbers. -29 ____ 18 A) < B) >

Accepted Answer

-29 is less than (or "smaller than") 18, so the correct symbol to place between them is <.

Question 11

Evaluate $| - 21 |$ .
A) -21
B) 1
C) 0
D) -1
E) 21

Accepted Answer

The absolute value of a number is its distance from 0 on the number line, which is always non-negative. Therefore, $| - 21 | = 21$.

Question 12

Place the correct symbol, <, =, or >, between the two numbers. |5| ____ |-3| A) = B) > C) <

Accepted Answer

The absolute value of 5 is greater than the absolute value of -3, so 5 is greater than -3. This can be written as  |5| > |-3|.

Question 13

Place the correct symbol, <, =, or >, between the two numbers. |18| ____ |18| A) > B) < C) =

Accepted Answer

The absolute value of 18 is 18, so |18| = |18|, meaning the two numbers are equal.

Question 14

State which number on the number line is in the location given below. 6 units to the right of -3
A) 9
B) -9
C) 3
D) 4
E) 2

Accepted Answer

Starting at -3, if we move 6 units to the right, we end up at 3. Therefore, choice C is the correct answer.

Question 15

Find the opposite number of -30.
A) $- 30$
B) $30$
C) - $\frac { 1 } { 30 }$
D) $\frac { 1 } { 30 }$
E) $0$

Accepted Answer

The opposite number of -30 is 30, which means it is the same distance from zero on the number line but in the opposite direction.

Question 16

Place the correct symbol, < or >, between the two numbers. -1 ____ -3 A) < B) >

Accepted Answer

-1 is greater than -3 because on the number line, numbers to the right are greater, and -1 is to the right of -3.

Question 17

Write the given numbers in order from smallest to largest. 11, 6, -2, -15
A) -15, -2, 6, 11
B) -15, 11, 6, 11
C) 11, 6, -15, -2
D) 6, -2, -15, 11
E) -15, -2, 11, 6

Accepted Answer

We start from the smallest number which is -15, followed by -2, 6 and finally 11. Therefore, the correct order is -15, -2, 6, 11. The only option that lists the numbers in this order is option A.

Question 18

If G is 1 and H is 2, what number is D? 
A) -2
B) -1
C) -3
D) 0
E) -9

Accepted Answer

The answer of If G is 1 and H is...

Question 19

Find the opposite number of -2.
A) $- 2$
B) $2$
C) - $\frac { 1 } { 2 }$
D) $\frac { 1 } { 2 }$
E) $0$

Accepted Answer

The opposite number of -2 is 2, as the opposite (or additive inverse) of a number is what you add to it to get zero.

Question 20

Evaluate -|9|.
A) 9
B) -9
C) 0
D) -1
E) 1

Accepted Answer

The absolute value of 9 is 9, and the negative sign outside the absolute value makes it -9.

Quiz 11: Introduction to Algebra

Evaluate -|-56|.

Place the correct symbol, <, =, or >, between the two numbers. |-2| ____ |3|

Evaluate |-31|.

Find the absolute value of the number 20.

Graph the numbers on the number line. 2 and 4

Place the correct symbol, < or >, between the two numbers. 3 ___ -1

Write the given numbers in order from smallest to largest. -1, -19, 12, 5, 0

State which number on the number line is in the location given below. 7 units to the left of -2

Place the correct symbol, <, =, or >, between the two numbers. |10| ____ |7|

Place the correct symbol, < or >, between the two numbers. -29 ____ 18

Evaluate ∣−21∣| - 21 |∣−21∣ .

Place the correct symbol, <, =, or >, between the two numbers. |5| ____ |-3|

Place the correct symbol, <, =, or >, between the two numbers. |18| ____ |18|

State which number on the number line is in the location given below. 6 units to the right of -3

Find the opposite number of -30.

Place the correct symbol, < or >, between the two numbers. -1 ____ -3

Write the given numbers in order from smallest to largest. 11, 6, -2, -15

If G is 1 and H is 2, what number is D?

Find the opposite number of -2.

Evaluate -|9|.

Evaluate $| - 21 |$ .