1.

what is the value of r in the equation 4r – 8 = 5r + 12? (4 points)

–20

–1

1

20

2.

which of these is a simplified form of the equation 8y + 4 = 6 + 2y + 1y? (4 points)

5y = 2

5y = 10

11y = 2

11y = 10

3.

what is the value of n in the equation 3n + 2(n + 2) = 9n + 12? (4 points)

–4

–2

2

4

4.

how many solutions can be found for the equation –4x – 11 = 2(x – 3x) + 13? (4 points)

none

one

two

infinitely many

5.

the work of a student trying to solve the equation 2(2x – 3) = 6 + 2x + 4 is shown below:

step 1: 2(2x – 3) = 6 + 2x + 4

step 2: 4x – 3 = 10 + 2x

step 3: 4x – 2x = 10 + 3

step 4: 2x = 13

step 5: x = 6.5

in which step did the student first make an error and what is the correct step? (4 points)

step 2: 4x – 6 = 10 + 2x

step 2: 4x – 3 = 2 + 2x

step 3: 4x + 2x = 10 + 3

step 3: 4x – 2x = 10 - 3

Use the distance formula to determine the distance that point q is from r on the hypotenusebased on a 2-3 ratio. i need asap !

Mama mia restaurant used 1 2 2 1 ? of their mozzarella cheese making pizza and the remaining 6 4 64 ounces making pasta. how many pounds of mozzarella cheese did mama mia start with?

High school seniors with strong academic records apply to the nation’s most selective colleges in greater numbers each year. because the number of slots remains relatively stable, some colleges reject more early applicants. suppose that for a recent admissions class, an ivy league college received 2851 applications for early admission. of this group, it admitted 1033 students early, rejected 854 outright, and deferred 964 to the regular admission pool for further consideration. in the past, this school has admitted 18% of the deferred early admission applicants during the regular admission process. counting the students admitted early and the students admitted during the regular admission process, the total class size was 2375. let e, r, and d represent the events that a student who applies for early admission is admitted early, rejected outright, or deferred to the regular admissions pool. suppose a student applies for early admission. what is the probability that the student will be admitted for early admission or be deferred and later admitted during the regular admission process?