Exam 1: Some Basic Concepts of Arithmetic and Algebra

Evaluate the algebraic expression for $x = - 6$ and $y = 4$ . $\frac { 7 x - 3 y } { - 6 }$

The product of a positive integer and a negative integer will be positive if the positive integer is first in the expression.

Find the quotient of the numbers below (divide). $\frac { - 56 } { - 8 }$

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

Simplify the numerical expression. 3(19 + 6) $-$ 2(8 $-$ 2)

Simplify the algebraic expression below by combining similar terms. 12 x + 25 c $-$ 28 x $-$ 3 c

Find the quotient of the numbers below (divide). $( - 33 ) \div 3$

Use the number line interpretation to find the sum. $-$ 16 + 13

Simplify the numerical expression below. (24)( $-$ 14)( $-$ 3)

Evaluate the algebraic expression for $x = - 4$ and $y = 2$ . $\frac { 3 x - 2 y } { - 4 }$

Add or subtract as indicated below. $-$ 7 $-$ ( $-$ 1) + 9 $-$ 6

Use the additive inverse property to simplify the expression below. $-$ 58 + 58

Add or subtract as indicated below. $-$ 10 $-$ ( $-$ 1) + 6 $-$ 5

Evaluate the algebraic expression for y = 19 and b = 14. $y + 10 b + 7 y b$

Subtraction can be done in vertical format. Find the difference. -18 -18

Evaluate the algebraic expression for x = 22, e = 14 and c = 10. $6 x e - 9 x c + 2 e c$

State the property that justifies the statement. For example, $3 + ( - 4 ) = ( - 4 ) + 3$ because of the commutative property for addition. $[ 8 ( - 3 ) ] ( - 1 ) = [ ( - 3 ) 8 ] ( - 1 )$

All odd numbers are also prime numbers.

6 is divisible by 2

Simplify the algebraic expression below, and then evaluate the resulting expression for the given values of the variables. 2 a $-$ 17 a + 28 a $-$ 18 a $-$ 9 a $-$ 4 a for a = 4