Quiz about Substitution Mini Quiz Review 5.3

Question 1

Question 1.

Accepted Answer

(0, 7)

Answer

Infinite number of solutions

Answer

(-5, -7)

Answer

(5, 7)

Question 2

Solve the following system:

$$2x-y=-1$$

$$y=x-1$$

Accepted Answer

$$\left(-2,-3\right)$$

Answer

$$\left(4,\ 5\right)$$

Answer

$$\left(5,\ 3\right)$$

Answer

$$\left(3,\ 4\right)$$

Question 3

Solve the following system:

$$y=-3x+5$$

$$5x-4y=-3$$

Accepted Answer

$$\left(1,\ 2\right)$$

Answer

$$\left(1,\ 5\right)$$

Answer

$$\left(2,\ 5\right)$$

Answer

$$\left(5,\ 1\right)$$

Question 4

Solve the following system:

$$y=-2$$

$$4x-3y=18$$

Accepted Answer

$$\left(3,\ -2\right)$$

Answer

$$\left(3,\ 2\right)$$

Answer

$$\left(-2,3\right)$$

Answer

$$\left(2,\ 3\right)$$

Question 5

The school that Stefan goes to is selling tickets to a choral performance. On the first day of ticket sales the school sold 3 senior citizen tickets and 1 child ticket for a total of $38. The school took in $52 on the second day by selling 3 senior citizen tickets and 2 child tickets. Which equations represents the system that could be used?

Accepted Answer

3s + 1c = 38
3s + 2c = 52

Answer

1s + 3c = 38
2s + 3c = 52

Answer

s + c = 38
s + c = 52

Answer

3s + 3c = 38
1s + 2c = 52

Question 6

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

Question 7

$$2x+3y=6$$ Solve the equation for y.

Accepted Answer

$$y=2-\frac{2}{3}x$$

Answer

$$y=6-2x$$

Answer

$$y=2+\frac{2}{3}x$$

Answer

$$y=6+2x$$

Question 8

Solve for y:
5x - y = 16

Accepted Answer

y = 5x - 16

Answer

-y = 5x + 16

Answer

y = 5x + 16

Answer

x = 5y - 16

Question 9

Solve the system:
x + 6y = 17
x - 3y = 8

Accepted Answer

(11, 1)

Answer

(5, 2)

Answer

(1, 11)

Answer

no solution

Question 10

What is the solution?

3x + 5y = 13

2x + y = 4

Accepted Answer

(1,2)

Answer

Infinite solutions

Answer

(2,1)

Answer

No solution

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