Deck 10: Math Exercises: Sets, Intervals, Absolute Value, and Properties

Question 1

List all the elements of B that belong to the given set.

A) open interval; $\{ x \mid - 3 < x < 2 \} ; ( - 3,2 )$
B) half-open interval; $\{ \mathrm { x } \mid - 3 \leq \mathrm { x } < 2 \} ; [ - 3,2 )$
C) half-open interval; $\{ x \mid - 3 < x \leq 2 \} ; ( - 3,2 ]$
D) closed interval; $\{ x \mid - 3 \leq x \leq 2 \} ; [ - 3,2 ]$

Answer 1

A

Question 2

List all the elements of B that belong to the given set.

A) closed infinite interval; $\{ x \mid x \geq - 1 \} ; [ - 1 , \infty )$
B) closed infinite interval; $\{ x \mid x \leq - 1 \} ; ( - \infty , - 1 ]$
C) open infinite interval; $\{ x \mid x > - 1 \} ; ( - 1 , \infty )$
D) open infinite interval; $\{ x \mid x < - 1 \} ; ( - \infty , - 1 )$

Answer 2

A

Question 3

List all the elements of B that belong to the given set.
$$B = \left\{ 18 , \sqrt { 6 } , - 22,0 , \frac { 3 } { 4 } , - \frac { 4 } { 3 } , 4.0 \right\}$$
Integers

A) $\{ 18,0 , \sqrt { 6 } \}$
B) $\{ 18 , - 22,0 \}$
C) $\{ 18 , - 22 \}$
D) $\{ 18,0 \}$

Answer 3

B

Question 4

List all the elements of B that belong to the given set.

A) open infinite interval; $\{ x \mid x < - 6 \} ; ( - \infty , - 6 )$
B) closed infinite interval; $\{ x \mid x \geq - 6 \} ; [ - 6 , \infty )$
C) open infinite interval; $\{ x \mid x > - 6 \} ; ( - 6 , \infty )$
D) closed infinite interval; $\{ x \mid x \leq - 6 \} ; ( - \infty , - 6 ]$

Question 5

List all the elements of B that belong to the given set.
$$B = \left\{ 3 , \sqrt { 5 } , - 17,0 , \frac { 0 } { 2 } , 0.47 \right\}$$
Rational numbers

A) $\{ 3,0 \}$
B) $\left\{ 3 , - 17,0 , \frac { 0 } { 2 } , 0.47 \right\}$
C) $\left\{ \sqrt { 5 } , \frac { 0 } { 2 } , 0.47 \right\}$
D) $\{ \sqrt { 5 } \}$

Question 6

List all the elements of B that belong to the given set.
$$B = \left\{ 15 , \sqrt { 8 } , - 6,0 , \frac { 0 } { 1 } \right\}$$
Real numbers

A) $\{ 15 , - 6$ ,
B) $\{ 15 , - 6,0 \}$
C) $\left\{ 15 , - 6,0 , \frac { 0 } { 1 } \right\}$
D) $\left\{ 15 , \sqrt { 8 } , - 6,0 , \frac { 0 } { 1 } \right\}$

Question 7

List all the elements of B that belong to the given set.

A) half-open interval; $\{ x | - 6 \leq x < - 2 | ; [ - 6 , - 2 )$
B) open interval; $\{ x \mid - 6 < x < - 2 \} ; ( - 6 , - 2 )$
C) half-open interval; $\{ x \mid - 6 < x \leq - 2 \} ; ( - 6 , - 2 ]$
D) closed interval; $\{ x \mid - 6 \leq x \leq - 2 \} ; [ - 6 , - 2 ]$

Question 8

List all the elements of B that belong to the given set.
$$B = \left\{ 11 , \sqrt { 8 } , - 6,0 , \frac { 0 } { 4 } , \sqrt { 9 } , 0.68 , - 8 \pi , 0.999 \ldots \right\}$$
Rational numbers

A) $\left\{ 11 , - 6,0 , \frac { 0 } { 4 } , \sqrt { 9 } , 0.68,0.999 \ldots \right\}$
B) $\left\{ 11 , - 6,0 , \frac { 0 } { 4 } , 0.68 \right\}$
C) $\left\{ 11 , - 6,0 , \frac { 0 } { 4 } , \sqrt { 9 } , 0.68 , - 8 \pi , 0.999 \ldots \right\}$
D) $\left\{ 11 , - 6,0 , \frac { 0 } { 4 } , 0.68,0.999 \ldots \right\}$

Question 9

Write the interval in set-builder notation and graph the set on a number line.
$$\left[ - 6 , \frac { 1 } { 4 } \right]$$

A) $\left\{ x \mid - 6 \leq x \leq \frac { 1 } { 4 } \right\}$

B) $\left\{ x \mid - 6 < x < \frac { 1 } { 4 } \right\}$

C) $\left\{ x \mid - 6 \leq x \leq \frac { 1 } { 4 } \right\}$

D) $\left\{ x \mid - 6 \leq x \leq \frac { 1 } { 4 } \right\}$

Question 10

Write the interval in set-builder notation and graph the set on a number line.
$( - \infty , 5 )$

A) $\{ x \mid x < 5 \}$

B) $\{ x \mid x \geq 5 \}$

C) $\{ x \mid x \leq 5 \}$

D) $\{ x \mid x > 5 \}$

Question 11

List all the elements of B that belong to the given set.

A) open infinite interval; $\{ x \mid x > 1 \} ; ( 1 , \infty )$
B) closed infinite interval; $\{ x \mid x \leq 1 \} ; ( - \infty , 1 ]$
C) closed infinite interval; $\{ x \mid x \geq 1 \} ; [ 1 , \infty )$
D) open infinite interval; $\{ x \mid x < 1 \} ; ( - \infty , 1 )$

Question 12

List all the elements of B that belong to the given set.
$$\mathrm { B } = \left\{ 8 , \sqrt { 8 } , - 22,0 , \frac { 5 } { 6 } , - \frac { 6 } { 5 } , 2.2,16 \pi , 0.168168168 \ldots \right\}$$
Integers

A) $\{ 8 , - 22 \}$
B) $\{ 8,0 \}$
C) $\{ 8 , - 22,0 \}$
D) $\{ 8,0 , \sqrt { 8 } \}$

Question 13

Write the interval in set-builder notation and graph the set on a number line.
$$\left[ - \frac { 1 } { 2 } , 3 \right)$$

A) $\left\{ x \mid - \frac { 1 } { 2 } \leq x < 3 \right\}$

B) $\left\{ x \mid - \frac { 1 } { 2 } < x \leq 3 \right\}$

C) $\left\{ x \mid - \frac { 1 } { 2 } \leq x < 3 \right\}$

D) $\left\{ x \mid - \frac { 1 } { 2 } \leq x < 3 \right\}$

Question 14

List all the elements of B that belong to the given set.
$$B = \left\{ 4 , \sqrt { 7 } , - 23,0 , \frac { 4 } { 9 } , - \frac { 9 } { 4 } , 2.2 \right\}$$
Natural numbers

A) $\{ 4 \}$
B) $\{ - 23,0,4 \}$
C) $\left\{ 4,0 , - \frac { 9 } { 4 } \right\}$
D) $\{ 4,0 \}$

Question 15

List all the elements of B that belong to the given set.

A) closed interval; $\{ x \mid - 9 \leq x \leq - 3 \} ; [ - 9 , - 3 ]$
B) half-open interval; $\{ x \mid - 9 < x \leq - 3 \} ; ( - 9 , - 3 ]$
C) half-open interval; $\{ x \mid - 9 \leq x < - 3 \} ; [ - 9 , - 3 )$
D) open interval; $\{ x \mid - 9 < x < - 3 \} ; ( - 9 , - 3 )$

Question 16

List all the elements of B that belong to the given set.
$$B = \left\{ 2 , \sqrt { 6 } , - 17,0 , \frac { 0 } { 8 } , 0.33 \right\}$$
Irrational numbers

A) $\{ \sqrt { 6 } \}$
B) $\left\{ \sqrt { 6 } , \frac { 0 } { 8 } , 0.33 \right\}$
C) $\{ \sqrt { 6 } , 0.33 \}$
D) $\left\{ \sqrt { 6 } , \frac { 0 } { 8 } \right\}$

Question 17

List all the elements of B that belong to the given set.

A) open interval; $\{ x \mid 5 < x < 8 \} ; ( 5,8 )$
B) half-open interval; $\{ x \mid 5 \leq x < 8 \} ; [ 5,8 )$
C) closed interval; $\{ x \mid 5 \leq x \leq 8 \} ; [ 5,8 ]$
D) half-open interval; $\{ x \mid 5 < x \leq 8 \} ; ( 5,8 ]$

Question 18

List all the elements of B that belong to the given set.
$$B = \left\{ 14 , \sqrt { 5 } , - 7,0 , \frac { 1 } { 2 } , - 2,2.4,5 \pi , 0.516516516 \ldots \right\}$$
Natural numbers

A) $\{ 14,0 \}$
B) $\{ 14,0 , - 2 \}$
C) $\{ - 7,0,14 \}$
D) $\{ 14 \}$

Question 19

List all the elements of B that belong to the given set.
$$B = \left\{ 4 , \sqrt { 8 } , - 11,0 , \frac { 0 } { 4 } , 0.7 , - 8 \pi , 0.161616 \ldots \right\}$$
Irrational numbers

A) $\left\{ \sqrt { 8 } , \frac { 0 } { 4 } , - 8 \pi \right\}$
B) $\{ \sqrt { 8 } , - 8 \pi \}$
C) $\{ \sqrt { 8 } , - 8 \pi , 0.161616 \ldots \}$
D) $\{ \sqrt { 8 } \}$

Question 20

List all the elements of B that belong to the given set.

A) closed infinite interval; $\{ x \mid x \geq - 9 \} ; [ - 9 , \infty )$
B) open infinite interval; $\{ x \mid x < - 9 \} ; ( - \infty , - 9 )$
C) open infinite interval; $\{ x \mid x > - 9 \} ; ( - 9 , \infty )$
D) closed infinite interval; $\{ \mathrm { x } \mid \mathrm { x } \leq - 9 \} ; ( - \infty , - 9 ]$

Question 21

Write the interval in set-builder notation and graph the set on a number line.
$$[ - 1 , \infty )$$

A) $\{ x \mid x \leq - 1 \}$

B) $\{ x \mid x < - 1 \}$

C) $\{ x \mid x > - 1 \}$

D) $\{ x \mid x \geq - 1 \}$

Question 22

Find the intersection of the given intervals.
$( \infty , 10 ] \cap [ - 8 , \infty ) \cap ( \infty , 1 )$

A) $[ - 8,1 ) \cup ( 1,10 ]$
В) $( 1,10 ]$
C) $[ - 8,1 )$
D) $[ - 8,10 ]$

Question 23

Given the set sketched on the number line, identify the type of interval (open, closed, half-open, open infinite, closed infinite), write the set using set-builder notation, and write the set using interval notation.
$A \cap C$

A) $\{ - 1 \}$
B) $\{ - 3 , - 1,2,5,7,9 \}$
C) $\{ 4,6,7,9 \}$
D) $\{ - 8 , - 3 , - 1,2,4,5,7,9 \}$

Question 24

Find the intersection of the given intervals.
$$| - 5 + 6 |$$

A) 1
B) 11
C) $- 11$
D) $- 1$

Question 25

Given the set sketched on the number line, identify the type of interval (open, closed, half-open, open infinite, closed infinite), write the set using set-builder notation, and write the set using interval notation.
$A \cap B$

A) $\{ - 3,2,5 \}$
B) $\{ - 3,2,5,7 \}$
C) $\{ - 8 , - 3 , - 1,2,5,7 \}$
D) $\{ - 8 , - 3 , - 1,2,5 \}$

Question 26

Find the intersection of the given intervals.
$$| - 3 | + | 7 |$$

A) 10
B) $- 10$
C) $- 4$
D) 4

Question 27

Sets A, B, and C are given. Find the indicated set. A = {-8, -3, -1, 2, 5}, B = {-3, 2, 5, 7}, and C = {-1, 4, 9}
$[ - 6 , \infty ) \cap ( - \infty , - 4 ]$

A) $( - \infty , \infty )$
B) $( - \infty , - 4 ]$
C) $[ - 6 , \infty )$
D) $[ - 6 , - 4 ]$

Question 28

Write the given set in interval notation and graph the set on a number line.
$$\left\{ x \mid - 5 < x < \frac { 1 } { 2 } \right\}$$

A) $\left[ - 5 , \frac { 1 } { 2 } \right]$

B) $\left( - 5 , \frac { 1 } { 2 } \right)$

C) $\left( - 5 , \frac { 1 } { 2 } \right)$

D) $\left( - 5 , \frac { 1 } { 2 } \right)$

Question 29

Find the intersection of the given intervals.
$$\frac { | 5 | } { 5 } + \frac { | - 2 | } { - 2 }$$

A) 2
B) 1
C) 0
D) $- 1$

Question 30

Given the set sketched on the number line, identify the type of interval (open, closed, half-open, open infinite, closed infinite), write the set using set-builder notation, and write the set using interval notation.
$B \cup C$

A) $\{ - 3 , - 1,2,5,7,9 \}$
В) $\{ - 3 , - 1,2,4,5,7,9 \}$
C) $\varnothing$
D) $\{ 0 \}$

Question 31

Sets A, B, and C are given. Find the indicated set. A = {-8, -3, -1, 2, 5}, B = {-3, 2, 5, 7}, and C = {-1, 4, 9}
$( B \cup C ) \cap A$

A) $\{ - 3 , - 1,2,4,5,7,9 \}$
B) $\{ - 3 , - 1,2 \}$
C) $\{ - 3 , - 1,2,5 \}$
D) $\varnothing$

Question 32

Given the set sketched on the number line, identify the type of interval (open, closed, half-open, open infinite, closed infinite), write the set using set-builder notation, and write the set using interval notation.
$( A \cap B ) \cup C$

A) $\{ - 3 , - 1,2 \}$
B) $\{ - 3 , - 1,2,5 \}$
C) $\{ - 3 , - 1,2,4,5,9 \}$
D) $\{ - 3,2,5 \}$

Question 33

Find the intersection of the given intervals.
$4 | 4 | + 5 | - 9 |$

A) 29
B) 61
C) $- 29$
D) $- 61$

Question 34

Given the set sketched on the number line, identify the type of interval (open, closed, half-open, open infinite, closed infinite), write the set using set-builder notation, and write the set using interval notation.
$\mathrm { A } \cup \mathrm { C }$

A) $\{ - 8 , - 3 , - 1,2,4,5,9 \}$
B) $\{ - 1 \}$
C) $\{ 4,6,7,9 \}$
D) $\{ - 3 , - 1,2,5,7,9 \}$

Question 35

Sets A, B, and C are given. Find the indicated set. A = {-8, -3, -1, 2, 5}, B = {-3, 2, 5, 7}, and C = {-1, 4, 9}
$( - 3,9 ] \cap ( - 8,4 ]$

A) $[ - 8,9 ]$
B) $[ - 3,4 ]$
C) $( - 8 , - 3 ]$
D) $( - 3,4 )$

Question 36

Write the given set in interval notation and graph the set on a number line.
$$\left\{ x \mid - \frac { 1 } { 2 } < x \leq 3 \right\}$$

A) $\left[ - \frac { 1 } { 2 } , 3 \right]$

B) $\left[ - \frac { 1 } { 2 } , 3 \right)$

C) $\left[ - \frac { 1 } { 2 } , 3 \right]$

D) $\left[ - \frac { 1 } { 2 } , 3 \right]$

Question 37

Given the set sketched on the number line, identify the type of interval (open, closed, half-open, open infinite, closed infinite), write the set using set-builder notation, and write the set using interval notation.
$|x| x<-2 \mid$

$A ) ( - 2 , \infty )$

B) $( - \infty , - 2 ]$

C) $[ - 2 , \infty )$

D) $( - \infty , - 2 )$

Question 38

Sets A, B, and C are given. Find the indicated set. A = {-8, -3, -1, 2, 5}, B = {-3, 2, 5, 7}, and C = {-1, 4, 9}
$( - \infty , \infty ) \cap [ - 9 , \infty )$

A) $( - \infty , \infty )$
B) $( - \infty , - 9 ]$
C) $\varnothing$
D) $[ - 9 , \infty )$

Question 39

Sets A, B, and C are given. Find the indicated set. A = {-8, -3, -1, 2, 5}, B = {-3, 2, 5, 7}, and C = {-1, 4, 9}
$( ( \infty , - 6 ) \cup ( - 6 , \infty ) ) \cap ( \infty , 13 ]$

A) $( \infty , - 6 )$
B) $( \infty , - 6 ) \cup ( - 6,13 ]$
C) $( \infty , 13 ]$
D) $( - 6,13 ]$

Question 40

Write the given set in interval notation and graph the set on a number line.
$$\{ x \mid x \leq - 9 \}$$

A) $( - \infty , - 9 ]$

B) $( - \infty , - 9 )$

C) $[ - 9 , \infty )$

D) $( - 9 , \infty )$

Question 41

Use the associative property of multiplication to write an equivalent algebraic expression.
$$( a + 2 ) 7$$

A) $7 a + 2$
B) $7 a + 14$
C) $a + 14$
D) $14 a$

Question 42

Use the associative property of addition to write an equivalent algebraic expression.
$$( n p + f ) + m$$

A) $m + ( n p + f )$
B) $n + ( p f + m )$
C) $n ( p + f ) + m$
D) $n p + ( f + m )$

Question 43

Use the associative property of multiplication to write an equivalent algebraic expression.
$$( m + 8 - 3 n ) 2$$

A) $2 m + 10 - 5 n$
B) $2 m + 16 - 3 n$
C) $2 m + 16 - 6 n$
D) $m + 16 - 6 n$

Question 44

Use the associative property of multiplication to write an equivalent algebraic expression.
$$3 ( x - 3 )$$

A) $3 x - 9$
B) $3 x - 3$
C) $3 x + 9$
D) $x + 9$

Question 45

Find the distance between the given two numbers using absolute value.
3 and 2

A)2
B)0
C)-1
D)1

Question 46

Use the associative property of multiplication to write an equivalent algebraic expression.
$5 ( 8 ( a + b ) )$

A) $( 5 + 8 ) ( a b )$
B) $5 ( ( 8 a ) + b )$
C) $( 8 ( a + b ) ) 5$
D) $( 5 \cdot 8 ) ( a + b )$

Question 47

Find the intersection of the given intervals.
$$| 6 \cdot 8 - 7 \cdot 9 |$$

A) 15
B) 111
C) $- 111$
D) $- 15$

Question 48

Use the distributive property to rewrite the sum or difference as a product. Simplify the answer if possible.
$$x \cdot x \cdot x$$

A) $4 ^ { X }$
base: $x$
exponent: 4
B) $4 ^ { x }$
base: 4
exponent: $x$
C) $x ^ { 4 }$
base: 4
exponent: $x$
D) $x ^ { 4 }$
base: $x$
exponent: 4

Question 49

Use the commutative property of addition to write an equivalent algebraic expression.
5x + 8y

A)8y + 5x
B)5x + 8y
C)5y + 8x
D)5x - 8y

Question 50

Use the distributive property to multiply the given expressions.
$$6 a + 10 a$$

A) $16 a$
B) $- 4 a$
C) $4 a$
D) $30 a$

Question 51

Use the associative property of addition to write an equivalent algebraic expression.
6(3x)

A) $( 6 \cdot 3 ) x$
B) $( 6 \cdot 3 ) + x$
C) $( 6 + 3 ) x$
D) $6 ( 3 + x )$

Question 52

Use the commutative property of multiplication to write an equivalent algebraic expression.
$$+ ( 2 + x )$$

A) $( 9 + 2 ) x$
B) $2 ( 9 + x )$
C) $9 ( 2 + x )$
D) $( 9 + 2 ) + x$

Question 53

Use the associative property of multiplication to write an equivalent algebraic expression.
$$2 ( 7 x + 3 )$$

A) $20 x$
B) $9 x + 5$
C) $14 x + 6$
D) $14 x + 3$

Question 54

Evaluate the absolute value expression.
$$| - 1 \cdot 3 + 7 \cdot 2 |$$

A) 11
B) 13
C) 17
D) 1

Question 55

Use the commutative property of addition to write an equivalent algebraic expression.
$$4 \cdot x$$

A) $\frac { 4 } { x }$
B) $4 \mathrm { x }$
C) $x \cdot 4$
D) $x + 4$

Question 56

Use the distributive property to multiply the given expressions.
$2 c + 7 c$

A) $9 \mathrm { c }$
B) $- 5 c$
C) $5 \mathrm { c }$
D) $14 \mathrm { c }$

Question 57

Use the distributive property to rewrite the sum or difference as a product. Simplify the answer if possible.
h $x - k x$

A) $x ( h + k )$
B) $x ( h - k )$
C) $h ( x - k )$
D) $( h - x ) k$

Question 58

Find the distance between the given two numbers using absolute value.
x + 5

A)x + 5
B)x5
C)5 + x
D)5x

Question 59

Use the distributive property to multiply the given expressions.
$$6 ( y - 2 x + 8 )$$

A) $y - 12 x + 48$
B) $6 y - 12 x + 8$
C) $6 y - 12 x + 48$
D) $6 y - 8 x + 14$

Question 60

Use the commutative property of multiplication to write an equivalent algebraic expression.
$$4 ( x + 3 )$$

A) $( x + 3 ) 4$
B) $( 3 + x ) 4$
C) $4 ( 3 + x )$
D) $( x + 4 ) 3$

Question 61

Write the expression using exponential notation. Then identify the base and the exponent.
$( - 4 ) ^ { 3 }$

A) 64
B) $- 64$
C) $- 12$
D) 12

Question 62

Simplify the expression using the order of operations.
$- 4 x ^ { 2 } + 4 y ^ { 2 }$ for $x = 3 , y = - 2$

A) $- 52$
B) $- 20$
C) 4
D) $- 44$

Question 63

Simplify the expression using the order of operations.
$$\frac { 6 + ( - 4 ) ^ { 2 } + 2 \cdot 2 ^ { 2 } } { 2 ^ { 2 } \cdot ( 5 - 3 ) }$$

A)20
B)15
C)0
D)2 7 4

Question 64

Evaluate.
21 + (25 ·4)- 14

A)36
B)-460
C)170
D)107

Question 65

Evaluate.
$$- 2 - ( - 7 + 9 \cdot 9 - 2 )$$

A)-88
B)-74
C)-78
D)70

Question 66

Write the expression using exponential notation. Then identify the base and the exponent.
$( - 3 x ) \cdot ( - 3 x ) \cdot ( - 3 x ) \cdot ( - 3 x )$

A) $- 3 x ^ { 4 }$
base: $- 3 x$
exponent: 4
B) $- 3 x ^ { 4 }$
base: $3 \mathrm { x }$
exponent: 4
C) $( - 3 x ) ^ { 4 }$
base: $3 x$
exponent: 4
D) $( - 3 x ) ^ { 4 }$
base: $- 3 x$
exponent: 4

Question 67

Evaluate.
$$( - 2 - 7 ) \cdot ( - 2 + 6 ) - 5^3$$

A)4
B)-161
C)125
D)89

Question 68

Evaluate the algebraic expression for the indicated variable.
$\left| 4 a ^ { 2 } - b ^ { 2 } \right| + c$ for $a = - 9 , b = 1 , c = 19$

A) 56
B) 342
C) $- 342$
D) 304

Question 69

Evaluate the algebraic expression for the indicated variable.
$7 x + 2 x$

A) $9 + x$
B) $9 x$
C) $5 x$
D) $14 x$

Question 70

Evaluate.
$$5 ^ { 2 } - 2 ( 3 ) + 24 \div 4$$

A)25
B)33
C)43
D)7 4

Question 71

Simplify the expression using the order of operations.
$$\frac { 8 x y + 75 } { x } \text { for } x = 5 , y = 7$$

A)23
B)15
C)131
D)71

Question 72

Simplify the expression using the order of operations.
$$\frac { 7 x - 4 y } { x + 14 } \text { for } x = 8 , y = 5$$

A) $\frac { 36 } { 19 }$
B) $\frac { 18 } { 11 }$
C) $\frac { 3 } { 22 }$
D) $\frac { 3 } { 19 }$

Question 73

Simplify the expression using the order of operations.
$- 7 a ^ { 2 } - 5 b + c - 13$ for $a = 8 , b = - 3 , c = - 5$

A) $- 451$
B) $- 455$
C) $- 481$
D) $- 59$

Question 74

Evaluate the algebraic expression for the indicated variable.
$$- 15 x ^ { 3 } - 12 x ^ { 3 }$$

A) $- 27 x ^ { 9 }$
B) $- 27 x 6$
C) $- 28 x ^ { 3 }$
D) $- 27 x ^ { 3 }$

Question 75

Evaluate.
$$10 ^ { 2 } - 5 \cdot 2$$

A)190
B)50
C)90
D)100

Question 76

Write the expression using exponential notation. Then identify the base and the exponent.
$5 ^ { 3 }$

A) 15
B) 125
C) $- 15$
D) $- 125$

Question 77

Evaluate the algebraic expression for the indicated variable.
$$- 4 x - 4 y - 2 x - 8 y$$

A) $- 12 x - 6 y$
B) $- 4 x - 2 x - 4 y - 8 y$
C) $- 18 x y$
D) $- 6 x - 12 y$

Question 78

Evaluate.
$$| 9 - 19 | \cdot - 8 \div ( - 4 )$$

A)-320
B)20
C)-20
D)320

Question 79

Evaluate.
$( 11 x ) ^ { 2 }$

A) $121 \mathrm { x }$
B) $11 x ^ { 2 }$
C) $22 x ^ { 2 }$
D) $121 x ^ { 2 }$

Question 80

Write the expression using exponential notation. Then identify the base and the exponent.
$- 3 ^ { 3 }$

A) 27
B) 9
C) $- 9$
D) $- 27$