Exam 1: Some Basic Concepts of Arithmetic and Algebra

Simplify the numerical expression below. $5 \cdot 2 + 10 \cdot 7 - 3 \cdot 8$

Fill in the blanks with a pair of numbers that has the indicated product and the indicated sum. For example, $\underline { 8 } \cdot \underline { 5 }= 40$ and $\underline { 8 } + \underline { 5 } = 13$ . $- \cdot - = 45$ and $- ^ { + } - = 14$

What is the greatest common factor of x and n if x and n are nonzero whole numbers and n is a multiple of x ?

Use the divisibility rules to help determine the prime factorization of the number below. 62

Simplify the numerical expression below. $\frac { 4 ( 18 - 8 ) } { 2 } + \frac { 5 ( 27 - 12 ) } { 3 }$

63 is not a multiple of 7

Subtract as indicated below. $-$ 18 $-$ ( $-$ 9)

Simplify the numerical expression. $\frac { 15 - 79 } { 8 }$

Monday morning, Michael bought 700 shares of a stock at $18 per share. During that work week, the stock went up $1 per share on one day and dropped $5 per share on each of the other four days. Determine the value of the 700 shares by closing time on Friday.

Simplify the numerical expression below. $\frac { 5 \cdot 39 + 91 \cdot 10 } { 5 + 2 \cdot 4 } + \frac { 3 \cdot 55 + 110 \cdot 3 } { 3 + 4 \cdot 2 }$

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

Simplify the algebraic expression below by combining similar terms. 23 ab $-$ 17 a $-$ 17 ab + 23 a

Use the divisibility rules to help determine the prime factorization of the number below. 261

Find the greatest common factor of the numbers below. 45 and 207

Find the quotient of the numbers below (divide). $\frac { - 36 } { 6 }$

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 numerical expression below. 4(17 $-$ 9)

Find the greatest common factor of the numbers below. 51 and 33

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

Subtract as indicated below. 8 $-$ ( $-$ 12)