I think I am somewhat finally getting how to do these correctly but if they are incorrect please give me the correct answer. Im really not a big fan of algebra nor am i good at it.

- The solution to a system of equations is the point of intersection of the two lines.

a. True

b. False

I said True

- If one angle in a right triangle is 32 degrees, what is the measure of the other two angles?

a. 32 degrees, 116 degrees

b. 64 degrees, 96 degrees

c. 60 degrees, 120 degrees

d. 90 degrees, 58 degrees

I said 32 degrees, 116 degrees

- The practice field is three times as long as it is wide. Its perimeter is 320 meters. Find the width of the practice field.

a. 20 meters

b. 30 meters

c. 40 meters

d. 50 meters

I said 40 meters

- The system of equations y = -6x - 3, and 6x - 30/10 has the following number of solutions:

a. 1

b. 2

c. zero

d. Infinitely many

I said 2

- Find x by solving for the system of equations using any method you prefer.

y = -3 + 7

2x + y = 0

a. x = 1

b. x = 7

c. x = -14

d. x = 10

I said x = 7

- You can use systems of equations to determine when buying a frequent user's pass will pay for itself

a. True

b. False

i said False

- The perimeter of a rectangle is 170 feet. Find the length of the rectangle if the length and width differ by 13 feet.

a. 49 meters

b. 36 meters

c. 45.75 meters

d. 22. 875 meters

I said 36 meters

- If you were to use the substitution method to solve the following system, x = y + 4, and 2x - 5y = 2 , the next step would be:

a. to multiply the top equation by - 2

b. to add the top equation to the bottom

c. to solve the top equation for y

d. 2(y + 4) - 5y = 2

I said to solve the top equation for y

- Find y by solving for the system of equations using any method you prefer.

-8x + 4y = 9

3x = 4y + 6

a. -4

b. -3

c. -13

d. -15/4

I said - 3

Two angles (angle X and angle Y) are supplementary; that is, the sum of their degree measures is 180. Find the measures of angle Y if Angle X is 12 more than two times angle Y.

a. 64 degrees

b. 116 degrees

c. 56 degrees

d. 124 degrees

I said 56 degrees

11.The first trip to a health club costs $15, but each trip after the first costs $25. What would be the cost of 5 trips to the health club?

a. $125

b. $75

c. $115

d. $40

I said $125

- The perimeter of a rectangle is 206 feet. Find the length of the rectangle if the length and width differ by 18 feet.

a. 9 feet

b. 27 feet

c. 42.5 feet

d. 60.5 feet

I said 27 feet

- You and a friend go into a candy store. You buy 4 candy bars and two drinks for $2.90. Your friend buys 2 candy bars and 3 drinks, which costs $2.95. Assuming that all candy costs the same and all drinks cost the same, how much does each drink cost?

a. $ 0.65

b. $ 0.75

c. $ 0.85

d. $ 0.95

I said $ 0.85

- Separate $80 into two parts so that one part is $16 less than twice the other. What is the smaller amount?

a. 32

b. 40

c. 48

d. 52

I said 32

- Find x by solving for the system of equations using any method you prefer.

-6x - 2y = -28

4x + y = 18

a. 4

b. -4

c. 3

d. 0

I said -4

## Answers (1)

My dear, are you sure you're not guessing?

Correct

Try again. A right triangle means one angle is 90°.

Correct

Review your answer to number 1. How many points of intersection can exist between 2 lines?

Could you have a typo? The first equation says y = 4, and the second says x = -2

I suppose this is correct, but it is a poorly worded question. I would say, "It depends".

Another typo? One side is 49 feet and the other is 36 feet. This converts to 14.94 meters and 10.97 meters.

No need to solve for y. Just substitute x directly into the second equation.

Try again. x = -3, but you are asked to find y.

Correct

Try agian. Don't forget, the first trip only cost $15, then there were 4 trips costing $25 each.

Try again. Your perimeter, 206 = 2L + 2(L - 18)

Try again. Your cost is 4C + 2D = 2.90, your friend's is 2C + 3D = 2.95

Correct

Try again, and watch your signs.