Exam 1: Some Basic Concepts of Arithmetic and Algebra

Using the commutative property of multiplication, rewrite (but do not evaluate) the expression below $-$ 24(18)

In one work week, a small company showed a profit of $796 for one day and a loss of $63 for each of the other four days. Use multiplication and addition of integers to determine the company's profit or loss for the week.

Find the least common multiple of the numbers below. 38, 22 and 6

Find the value of $\frac { b h } { 2 }$ for the following set of values for the variables b and h . $b = 8$ and $h = 4$

Megan shot rounds of 2 over par, 4 under par, 7 under par, and 2 under par in a 4-day golf tournament. Use addition of integers to describe this situation, and determine how much over or under par she was for the tournament.

Find the product of the numbers below (multiply). $3 ( - 7 )$

Use the divisibility rules to help determine the prime factorization of the given number. For example, $18 = 2 \cdot 3 \cdot 3$ . 99 = __________

Use the divisibility rules to help determine the prime factorization of the number below. 279

Simplify the numerical expression below. $10 ( - 8 ) + 3 ( - 7 )$

8 does not divide 3

Use the divisibility rules to help determine the prime factorization of the number below. 63

Evaluate the algebraic expression for $x = 5$ and $y = 3$ . $( x + 4 y ) ( 4 x - y )$

Evaluate the algebraic expression for n = 9, e = 18 and l = 54. $\frac { n \cdot ( e + l ) } { 9 }$

Factor the composite number 330 into a product of prime numbers, for example $30 = 2 \cdot 3 \cdot 5$ .

Simplify the numerical expression below. $13 \cdot 18 \div 6 + 12 \div 2 \cdot 8$

Evaluate the algebraic expression for y = 8. $56 - 6 [ 5 ( y - 4 ) ]$

Find the quotient of the numbers below (divide). $\frac { - 56 } { 7 }$

Add or subtract as indicated below. $-$ 2 $-$ ( $-$ 5) + 7 $-$ 9

Evaluate the algebraic expression below for the given values of the variables. x + y $-$ z for x = 24, y = 24 and z = 4

Simplify the numerical expression below. $-$ 9( $-$ 53 $-$ 63)