Quiz about Systems of Equations--Elimination Method

Question 1

In order to solve a system using Elimination method, what first must happen

Accepted Answer

Both equations are in Standard Form

Answer

Both equations are in Slope Intercept Form

Answer

Both equations are in Point Slope Form

Question 2

4x+8y=20

-4x+2y=-30

Accepted Answer

(7,-1)

Answer

(-7,1)

Answer

(2,-5)

Answer

(-2,5)

Question 3

What would be an appropriate next step to solve the system using elimination method?

$$3x-4y=10$$

$$2x-4y=-13$$

Accepted Answer

Multiply all terms in the second equation by -1

Answer

Vertically Add the two equations together

Answer

Multiply -4y by -1 in one of the equations

Answer

Multiply all terms in the second equation by -2 and all terms in the first equation by -1

Question 4

3x - 3y = 33
6x - 3y = 57

Accepted Answer

(8,-3)

Answer

(-3,8)

Answer

(10,1)

Answer

(10,-1)

Question 5

7x - y = 10

-7x + y = -14

Accepted Answer

No Solution

Answer

(4, 1)

Answer

Infinitely Many Solutions

Answer

(2, -4)

Question 6

If a system of equations has no solution, what does the graph look like?

Accepted Answer

parallel lines

Answer

intersecting lines

Answer

skew lines

Answer

intersecting lines

Question 7

When solving the system, if you get a result of something like 6 = 6 or -2 = -2 and the answer is:

Accepted Answer

Infinitely Many Solutions

Answer

No Solution

Answer

Not possible

Question 8

Solve for x and solve for y
3x - 3y = 33
6x - 3y = 57

Accepted Answer

(8,-3)

Answer

(-3,8)

Answer

(10,1)

Answer

(10,-1)

Question 9

Some students want to order shirts with their school logo. One company charges $9.65 per shirt plus a setup fee of $43. Another company charges $8.40 per shirt plus a $58 fee. Which equation represents the number of shirts when both companies charge the same amount?

Accepted Answer

y = 9.65x + 43
y = 8.40x + 58

Answer

y = 9.65 + x
y = 8.40 + x

Answer

y =9.65x
y = 8.40x

Answer

y = 9.65x - 43
y = 8.40x - 58

Question 10

The talent show committee sold a total of 530 tickets in advance. Student tickets cost $3 each and the adult tickets cost $4 each. If the total receipts were $1740, which system could be used to find how many of each type of ticket were sold?

Accepted Answer

S + A = 530
3S + 4A = 1740

Answer

S + A = 530
4S + 3A = 1740

Answer

S + A = 1740
3S + 4A = 530

Answer

S + A = 1740
4S + 3A = 530

Question 11

On Monday Joe bought 10 cups of coffee and 5 doughnuts for his office at the cost of $16.50. It turns out that the doughnuts were more popular than the coffee. On Tuesday he bought 5 cups of coffee and 10 doughnuts for a total of $14.25. Which equations could be used to determine the cost of the coffee?

Accepted Answer

10c + 5d = 16.50
5c + 10d = 14.25

Answer

10c + 5d = 14.25
5c + 10d = 16.50

Answer

c + d = 10
5c + 10d = 16.50

Answer

c + d = 5
5c + 10d = 16.50

Systems of Equations--Elimination Method

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