Iwill give extra points

1. write an algebraic expression for the following.
the product of 8 and x plus the quotient of y and 7.
a. (8 + x)(y/7)
b. (8x) + (y/7)
c. (8x)/(7y)
d. (8 + x)/(7 + y)

2. at the market you purchase some apples and oranges. there were 12 items purchased. you buy twice as many apples as oranges. (5 points)
a. define the variables.

b. write an algebraic equation using one variable for the above situation.

c. solve this equation for the number of apples and oranges you purchase

3. when solving an equation like 2x + 10 = 2(x + 5), and, when simplified, you get x = x, 10 = 10, or 0 = 0, what is the solution for x? (5 points)
a. no solution
b. any real number
c. 10
d. zero

4.3 sisters are each 2 years apart in age. the youngest sister is emily, the middle sister is samantha and the oldest sister is lauren. together their combined ages are 42. how old is each sister? (5 points)

a. define the variable(s).

b. write an equation for this situation using one variable.

c. solve the equation for the ages of the 3 sisters.

5. joe works in a deli and has to make turkey and ham sandwiches for the lunch crowd. he pre-makes a total of 39 sandwiches. he makes twice as many turkey as ham. how many ham sandwiches did he make? (5 points)
a. 13
b. 18
c. 24
d. 26

6. when solving the equation a2 + b2 = c2 for "a" , what mathematical operation is performed? (5 points)
a. subtract b squared from both sides of the equation and then square both sides of the equation

b. subtract b squared from both sides of the equation and then take the square root of both sides of the equation

c. take the square root of both sides of the equation and then subtract b squared from both sides of the equation

d. square both sides of the equation and then subtract b squared from both sides of the equation