1) what value for n makes this equation true?

(5 • 10) + (5 • n) = 5 • 15

a.
5

b.
10

c.
15

d.
20


what value for n makes this equation true?

(10 • 10) + (10 • 8) = 10 • n

a.
8

b.
10

c.
18

d.
20


4) which is another way to write the expression 22 • (h + 6)?

a. (22 • h) + 6

b. (22 • h) • 6

c. 22 • 6 + h

d. (22 • h) + (22 • 6)


5) which is another way to write the expression p • (10 – 2)?

a.
10 • 2 – p

b.
(p • 10) – (p • 2)

c.
(10 • 2) – p

d.
(10 • 2) • p


6) which is another way to write this expression?

a • (19 - 5)

a. 5 • 19 • a

b. a - 19 - a - 5

c. (5 • 19) - a

d. (a • 19) - (a • 5)


7)

which is another way to write this expression?

15 • (8 – y)

a.
15 • 8 • y

b.
(15 • 8) – (15 • y)

c.
(15 • 8) – y

d.
15 – 8 – 15 – y


8) what value for t makes this equation true?

3 • 14 = (3 • t) + (3 • 10)

-3

step-by-step explanation:

a drawing really does here:

so i draw the horizontal line y=2 and the vertical line x=-2 at this intersection i put b (this is where my right angle is going to be).   so point b is at (-2,2).   point a is 5 units long and is also on y=2 so this point has to be (3,2) or (-7,2) -doesn't matter i will go with (3,2).

now we know c is at (-2,y) we don't know the y yet bet we know that c is on x=-2.

we have the area of the triangle is .5bh=12.5

we know the base length is 5 (ab)

we have the height is (2-y) if you look at your

plug in

.5(5)(2-y)=12.5

solve for y to get the y-coordinate for c

2.5(2-y)=12.5

divide both sides by 2.5 giving:

2-y=5

now subtract 2 on both sides

-y=3

y=-3

g = (2, 2)

step-by-step explanation:

given the ratio is 1 : 1 then f is the midpoint of eg

let the coordinates of g = (x, y)

using the midpoint formula

(0 + x) = 1 ( multiply both sides by 2 )

0 + x = 2 ⇒ x = 2

similarly

(4 + y) = 3 ( multiply both sides by 2 )

4 + y = 6 ( subtract 4 from both sides )

y = 2

coordinates of g = (2, 2)