Question

translating expressions and equations
15.
translate each statement into an algebraic equation or expression. solve, if asked.
a. six times the sum of 8 and a number
b. half the difference of a number and 7 is less than 12.
c. ten less than the product of a number and 17
d. the quotient of a 6 and a number
e. when 6 is added to four times a number, the result is 50. find the number.

understanding sums and products
16.
for each problem below, identify two integers that satisfy the given conditions.
a. find two numbers whose product is 10 and whose sum is 7.
b. find two numbers whose product is -20 and whose sum is 1.
c. find two numbers whose product is 42 and whose sum is -13.
d. find two numbers whose product is 108 and whose sum is 56.
e. find two numbers whose product is -144 and whose sum is 0.

Explanation:

Translate statements in Question 15

$$
LATEXBLOCK0
$$

Solve integer pairs in Question 16

$$
LATEXBLOCK1
$$

Answer:

Question 15

A. \(6(8 + x)\)
B. \(\frac{1}{2}(x - 7) < 12\)
C. \(17x - 10\)
D. \(\frac{6}{x}\)
E. \(4x + 6 = 50\); The number is \(11\)

Question 16

A. \(2\) and \(5\)
B. \(5\) and \(-4\)
C. \(-6\) and \(-7\)
D. \(2\) and \(54\)
E. \(12\) and \(-12\)