Exam 1: Some Basic Concepts of Arithmetic and Algebra

Find the value of $\frac { b h } { 2 }$ for the following set of values for the variables b and h . $b = 6$ and $h = 4$

Evaluate the algebraic expression below for the given values of the variables. 6 t + 8 y for t = -7 and y = 2.

Find the greatest common factor of the numbers below. 205, 35 and 95

Find the sum. $-$ 14 + ( $-$ 17)

Simplify the numerical expression below. $-$ 41 $-$ 72 + 46 + 15 + 36 $-$ 44

Evaluate the algebraic expression for x = 5 and y = -5. -3 x + 7 y - xy

What is the least common multiple of u and y if the greatest common factor of u and y is 9?

Find the least common multiple of the numbers below. 114 and 138

Evaluate the algebraic expression below for the given values of the variables. $( a b - c ) ( a + c )$ for a = 10, b = 3 and c = 2

The product of a positive integer and two negative integers is negative.

Evaluate the algebraic expression for z = 2. $57 - 6 [ 8 ( z - 3 ) ]$

Use the divisibility rules to help determine the prime factorization of the number below. 51

Simplify the algebraic expression below, and then evaluate the resulting expression for the given values of the variables. 20 z + 18 b + 23 z $-$ 11 b for z = 3, b = 10

Division is a commutative operation.

Add or subtract as indicated. $1 - 8 - 4$

Find the greatest common factor of the following numbers. 51 and 39

Add or subtract as indicated. $3 - 8 + 8 - 8 - 7$

Subtraction can be done in vertical format. Find the difference. -20 10

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 sum below. $-$ 3 + ( $-$ 8)