1. Translate the verbal phrase into a math equation: "when the product of five and x is increased by four, the result is the quotient of x and 2. Do not solve!
I
2. Solve the equation: 3x + 7 = -2
3. Solve the equation: -x + 2 = -10
4. Solve the equation: 9 = -3 +n + 2n
5. Name each property shown, for ex: multiplicative inverse, commutative property of addition,
and etc. Write their full property names. Incomplete names will receive no credit.
a) 2x + -2x = 0
b) 3 + (x + y) = (3 + x) +y
c) -x (1) = -x
d) 7(x + 3) = 7x + 21

The position of a moving particle is given by the position function: f(t)=-9t-t^2-0.2t^3+0.1t^4 0 a. at what time does the particle reverse direction? b. when is the displacement positive? (round one decimal place and answer in interval notation) c. when is the displacement negative? (round one decimal place and answer in interval notation) d. when is the particle’s acceleration positive? (round one decimal place and answer in interval notation) e. when is the particle’s acceleration negative? (round one decimal place and answer in interval notation)

Simplify. 4+3/7x-2-2/7x a. 2-5/7x b. 6-1/7x c. 2+1/7x d. 6+5/7x

Bocephus has a bag full of nickels and dimes. if there are 3 times as many dimes as nickels, and he has $\$36.05$ in his bag, how many nickels does he have?