Exam 1: Some Basic Concepts of Arithmetic and Algebra

A game such as football can also be used to interpret the addition of integers. A gain of 3 yards on one play followed by a loss of 5 yards on the next play places the ball 2 yards behind the initial line of scrimmage, and this can be expressed as 3 + ( $-$ 5) = $-$ 2. Use this football interpretation to find the following sum. $-$ 5 + ( $-$ 7)

State the property that justifies the statement. For example, $3 + ( - 4 ) = ( - 4 ) + 3$ because of the commutative property for addition. $[ 10 ( - 9 ) ] 5 = 10 [ - 9 ( 5 ) ]$

Subtract as indicated below. 4 $-$ ( $-$ 8)

Evaluate the algebraic expression for the given values of the variables. $-$ x $-$ y for x = 5 and y = 6

Find the product of the numbers below (multiply). $2 ( - 6 )$

Find the quotient of the numbers below (divide). $\frac { - 60 } { - 3 }$

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

Evaluate the algebraic expression for n = 12. $\frac { 36 } { n } + \frac { n } { 2 }$

Use the additive identity property to simplify the expression below. 195 + 0

Monday morning, Michael bought 750 shares of a stock at $29 per share. During that work week, the stock went up $1 per share on one day and dropped $3 per share on each of the other four days. Determine the value of 800 shares by closing time on Friday. $__________

Simplify the algebraic expression below, and then evaluate the resulting expression for the given values of the variables. 16 ( y + v ) $-$ 18 ( y $-$ v ) for y = 6, v = 4

Examples of numerical expressions are $2 x - y , 14 \div 2 + 1 \text {, and } 3 ( 6 )$ .

Evaluate the algebraic expression for n = 21 and w = 7. $\frac { n \cdot w } { 7 }$

Find the least common multiple of the numbers below. 33 and 15

The opposite of the opposite of any integer is the integer itself.