Question 1

Simplify the algebraic expression below, and then evaluate the resulting expression for the given values of the variables. 26( m $-$ 6) $-$ 13( m + 20) for m = 9

Accepted Answer

A)  -299 
B)  221 
C)  -65 
D)  13 
E)  none of these

Question 2

Find the quotient. $\frac { - 48 } { 4 }$

Accepted Answer

A)  -10 
B)  10 
C)  -12 
D)  -16 
E)  12

Question 3

Simplify the numerical expression below. (28)( $-$ 11)( $-$ 2)

Accepted Answer

The answer of Simplify the numerical expression below. (28)( $-$...

Question 4

State the property that justifies the statement. For example, $3 + ( - 4 ) = ( - 4 ) + 3$ because of the commutative property for addition. $[ 7 ( - 3 ) ] 4 = 7 [ - 3 ( 4 ) ]$

Accepted Answer

The answer of State the property that justifies the statement....

Question 5

Simplify the algebraic expression below by combining similar terms. ( x + 26) $-$ ( x + 14) $-$ ( x + 30) $-$ 4 ( x + 17)

Accepted Answer

The answer of Simplify the algebraic expression below by combining...

Question 6

Simplify the algebraic expression below by combining similar terms. 14 p + 28 k $-$ 5 p $-$ 16 k

Accepted Answer

The answer of Simplify the algebraic expression below by combining...

Question 7

The expression " 6-2 " indicates the difference of 2 and 6.

Accepted Answer

A) True 
 B)False

Question 8

Simplify the numerical expression below. ( $-$ 40 + 41) + 40

Accepted Answer

The answer of Simplify the numerical expression below. ( $-$...

Question 9

Use the additive inverse property to simplify the expression below. $-$ 87 + 87

Accepted Answer

The answer of Use the additive inverse property to simplify...

Question 10

Simplify the algebraic expression below by combining similar terms. 14 z + 12 z

Accepted Answer

A)  26 z 
B)  28 z 
C)  2 z 
D)  24 z 
E)  none of these

Question 11

Simplify the algebraic expression below by combining similar terms. 8 ur $-$ 13 u $-$ 13 ur + 25 u

Accepted Answer

The answer of Simplify the algebraic expression below by combining...

Question 12

6 divides 23

Accepted Answer

A) True 
 B)False

Question 13

Find the quotient of the numbers below (divide). $\frac { - 35 } { - 5 }$

Accepted Answer

The answer of Find the quotient of the numbers below...

Question 14

Simplify the numerical expression. $\frac { - 8 ( 12 ) + 6 ( - 9 ) } { - 5 }$

Accepted Answer

The answer of Simplify the numerical expression. \(\frac { -...

Question 15

Zero is an element of the null set.

Accepted Answer

A) True 
 B)False

Question 16

Evaluate the algebraic expression for $y = 7$ . $\frac { y + 18 } { 5 } + \frac { 58 - y } { 3 }$

Accepted Answer

The answer of Evaluate the algebraic expression for \(y =...

Question 17

Evaluate the algebraic expression for the given values of the variables. $-$ x $-$ y  for x = 1 and y = 6

Accepted Answer

A)  -9 
B)  -7 
C)  0 
D)  -4

Question 18

Simplify the numerical expression below. 14 + 4 $-$ 9

Accepted Answer

The answer of Simplify the numerical expression below. 14 +...

Question 19

Evaluate the algebraic expression for x = 8 and y = -8. -3 x + 8 y - xy

Accepted Answer

A)  28 
B)  24 
C)  -8 
D)  -24 
E)  -28

Question 20

Simplify the algebraic expression below, and then evaluate the resulting expression for the given values of the variables. 23 ( t $-$ 19) $-$ 7 ( t + 26) for t = 4

Accepted Answer

A)  191 
B)  -739 
C)  -319 
D)  -683 
E)  none of these

Exam 1: Some Basic Concepts of Arithmetic and Algebra

Simplify the algebraic expression below, and then evaluate the resulting expression for the given values of the variables. 26( m −-− 6) −-− 13( m + 20) for m = 9

Find the quotient. −484\frac { - 48 } { 4 }4−48​

Simplify the numerical expression below. (28)( −-− 11)( −-− 2)

State the property that justifies the statement. For example, 3+(−4)=(−4)+33 + ( - 4 ) = ( - 4 ) + 33+(−4)=(−4)+3 because of the commutative property for addition. [7(−3)]4=7[−3(4)][ 7 ( - 3 ) ] 4 = 7 [ - 3 ( 4 ) ][7(−3)]4=7[−3(4)]

Simplify the algebraic expression below by combining similar terms. ( x + 26) −-− ( x + 14) −-− ( x + 30) −-− 4 ( x + 17)

Simplify the algebraic expression below by combining similar terms. 14 p + 28 k −-− 5 p −-− 16 k

The expression " 6-2 " indicates the difference of 2 and 6.

Simplify the numerical expression below. ( −-− 40 + 41) + 40

Use the additive inverse property to simplify the expression below. −-− 87 + 87

Simplify the algebraic expression below by combining similar terms. 14 z + 12 z

Simplify the algebraic expression below by combining similar terms. 8 ur −-− 13 u −-− 13 ur + 25 u

6 divides 23

Find the quotient of the numbers below (divide). −35−5\frac { - 35 } { - 5 }−5−35​

Simplify the numerical expression. −8(12)+6(−9)−5\frac { - 8 ( 12 ) + 6 ( - 9 ) } { - 5 }−5−8(12)+6(−9)​

Zero is an element of the null set.

Evaluate the algebraic expression for y=7y = 7y=7 . y+185+58−y3\frac { y + 18 } { 5 } + \frac { 58 - y } { 3 }5y+18​+358−y​

Evaluate the algebraic expression for the given values of the variables. −-− x −-− y for x = 1 and y = 6

Simplify the numerical expression below. 14 + 4 −-− 9

Evaluate the algebraic expression for x = 8 and y = -8. -3 x + 8 y - xy

Simplify the algebraic expression below, and then evaluate the resulting expression for the given values of the variables. 23 ( t −-− 19) −-− 7 ( t + 26) for t = 4

Simplify the algebraic expression below, and then evaluate the resulting expression for the given values of the variables. 26( m $-$ 6) $-$ 13( m + 20) for m = 9

Find the quotient. $\frac { - 48 } { 4 }$

Simplify the numerical expression below. (28)( $-$ 11)( $-$ 2)

State the property that justifies the statement. For example, $3 + ( - 4 ) = ( - 4 ) + 3$ because of the commutative property for addition. $[ 7 ( - 3 ) ] 4 = 7 [ - 3 ( 4 ) ]$

Simplify the algebraic expression below by combining similar terms. ( x + 26) $-$ ( x + 14) $-$ ( x + 30) $-$ 4 ( x + 17)

Simplify the algebraic expression below by combining similar terms. 14 p + 28 k $-$ 5 p $-$ 16 k

Simplify the numerical expression below. ( $-$ 40 + 41) + 40

Use the additive inverse property to simplify the expression below. $-$ 87 + 87

Simplify the algebraic expression below by combining similar terms. 8 ur $-$ 13 u $-$ 13 ur + 25 u

Find the quotient of the numbers below (divide). $\frac { - 35 } { - 5 }$

Simplify the numerical expression. $\frac { - 8 ( 12 ) + 6 ( - 9 ) } { - 5 }$

Evaluate the algebraic expression for $y = 7$ . $\frac { y + 18 } { 5 } + \frac { 58 - y } { 3 }$

Evaluate the algebraic expression for the given values of the variables. $-$ x $-$ y for x = 1 and y = 6

Simplify the numerical expression below. 14 + 4 $-$ 9

Simplify the algebraic expression below, and then evaluate the resulting expression for the given values of the variables. 23 ( t $-$ 19) $-$ 7 ( t + 26) for t = 4