Question 1

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

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Question 2

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

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Question 3

Simplify the algebraic expression below by combining similar terms. 24 ( z + 20) + 18 ( z + 12)

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Question 4

Simplify the algebraic expression below by combining similar terms. 19 t + 14 t

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Question 5

Simplify the algebraic expression below by combining similar terms. 5( a + 5) + 30( a + 13)

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Question 6

Simplify the algebraic expression below by combining similar terms. ( p + 8) $-$ ( p + 22) $-$ ( p + 16) $-$ 5( p + 26)

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Question 7

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

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Question 8

Simplify the algebraic expression below by combining similar terms. $-$ 7( a + 21) $-$ 23( a + 25) + 4( a + 12)

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Question 9

Simplify the algebraic expression below, and then evaluate the resulting expression for the given values of the variables. ( z $-$ s ) $-$ ( z + s ) for z = 4, s = 6

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Question 10

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

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Question 11

Simplify the algebraic expression below by combining similar terms. 10 p + 25 f $-$ 28 p $-$ 22 f

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Question 12

Use the distributive property to rewrite the simplified expression below. 5(9 + 4) Do not evaluate the expression, just remove the parentheses.

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Question 13

Simplify the algebraic expression below by combining similar terms. $-$ 30 ( x + 27) $-$ 18 ( x + 2) + 4 ( x + 16)

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Question 14

Simplify the algebraic expression below, and then evaluate the resulting expression for the given values of the variables. 5 m $-$ 18 m + 5 m $-$ 28 m $-$ 12 m $-$ 25 m for m = 3

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Question 15

Simplify the algebraic expression below by combining similar terms. 3 mf $-$ 11 m $-$ 20 mf + 26 m

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Quiz 1: Some Basic Concepts of Arithmetic and Algebra

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. 14 p + 28 k −-− 5 p −-− 16 k

Simplify the algebraic expression below by combining similar terms. 24 ( z + 20) + 18 ( z + 12)

Simplify the algebraic expression below by combining similar terms. 19 t + 14 t

Simplify the algebraic expression below by combining similar terms. 5( a + 5) + 30( a + 13)

Simplify the algebraic expression below by combining similar terms. ( p + 8) −-− ( p + 22) −-− ( p + 16) −-− 5( p + 26)

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

Simplify the algebraic expression below by combining similar terms. −-− 7( a + 21) −-− 23( a + 25) + 4( a + 12)

Simplify the algebraic expression below, and then evaluate the resulting expression for the given values of the variables. ( z −-− s ) −-− ( z + s ) for z = 4, s = 6

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. 10 p + 25 f −-− 28 p −-− 22 f

Use the distributive property to rewrite the simplified expression below. 5(9 + 4) Do not evaluate the expression, just remove the parentheses.

Simplify the algebraic expression below by combining similar terms. −-− 30 ( x + 27) −-− 18 ( x + 2) + 4 ( x + 16)

Simplify the algebraic expression below, and then evaluate the resulting expression for the given values of the variables. 5 m −-− 18 m + 5 m −-− 28 m −-− 12 m −-− 25 m for m = 3

Simplify the algebraic expression below by combining similar terms. 3 mf −-− 11 m −-− 20 mf + 26 m

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. 14 p + 28 k $-$ 5 p $-$ 16 k

Simplify the algebraic expression below by combining similar terms. ( p + 8) $-$ ( p + 22) $-$ ( p + 16) $-$ 5( p + 26)

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

Simplify the algebraic expression below by combining similar terms. $-$ 7( a + 21) $-$ 23( a + 25) + 4( a + 12)

Simplify the algebraic expression below, and then evaluate the resulting expression for the given values of the variables. ( z $-$ s ) $-$ ( z + s ) for z = 4, s = 6

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. 10 p + 25 f $-$ 28 p $-$ 22 f

Simplify the algebraic expression below by combining similar terms. $-$ 30 ( x + 27) $-$ 18 ( x + 2) + 4 ( x + 16)

Simplify the algebraic expression below, and then evaluate the resulting expression for the given values of the variables. 5 m $-$ 18 m + 5 m $-$ 28 m $-$ 12 m $-$ 25 m for m = 3

Simplify the algebraic expression below by combining similar terms. 3 mf $-$ 11 m $-$ 20 mf + 26 m