Quiz about Solving Nonlinear Systems Lesson

Question 1

The graph of f(x) and g(x) are shown below. How many solutions does the system of equations have?

Accepted Answer

Three

Answer

One

Answer

Two

Answer

Four

Answer

No Solution

Question 2

What are the solutions to the system of equations graphed below?

Accepted Answer

(2, 0), (-2, 0)

Answer

(2, 0)

Answer

(-2,0)

Answer

(0, -4), (0,4)

Answer

No Solution

Question 3

Solve:

5x - 4y - 11 = 0

y = x² - x - 6

Accepted Answer

(-1, -4)

Answer

(1, 8)

Answer

(0, 4)

Answer

(2, 0)

Answer

No Solution

Question 4

Which graph could be used to find the solution to the system of equations show below:

y=2x+6

y=x²+4x+3

Accepted Answer

Option B is correct

Answer

A.

Answer

C.

Answer

D.

Question 5

Solve and select ALL solutions:

x + 2y = -6

y = x² + 4x + 1

Accepted Answer

(-1.219, -2.390)

Accepted Answer

(-3.281, -1.360)

Answer

(-2.390, -1.219)

Answer

(-1.360, -3.281)

Answer

No Solution

Question 6

Solve:

Accepted Answer

(0,-3)(-1,-2)

Answer

(0,-3)

Answer

(-2,0)(2,0)

Answer

No solution

Question 7

Solve Algebraically:

y = x² + 3x - 5

y = x + 3

Accepted Answer

(-4, -1) and (2, 5)

Answer

(-4, 2) and (-1, 5)

Answer

(2, -1 and (-4, 5)

Answer

(-4, 1) and (2, -1)

Question 8

Solve:

Accepted Answer

(-3,-15) and (4,-8)

Answer

(2,3) and (3,4)

Answer

(-3,10) and (8,4)

Answer

(-8,3) and (-4,10)

Question 9

Solve:

y = (x-1)² - 2

x - y = 1

Accepted Answer

(0, -1)

Answer

(1, 4)

Answer

(3, 20)

Answer

(9, 1)

Answer

No Solution

Question 10

Solve:

2y² + 16x + 5y + 68 = 0

x + y - 3 = 0

Accepted Answer

No Solution

Answer

(3, -7)

Answer

(3, 10), (2, -7)

Answer

(3, 10), (-9, 4)

Question 11

Solve:

-4x² + 5y² -69y -58 = 0

x + 3y + 1 = 0

Accepted Answer

(2, -1), (5, -2)

Answer

(2, -1), (5, 2)

Answer

(5, 2)

Answer

No Solution

Question 12

Solve:

x² + y² -x + 13y + 36 = 0

x + y = -3

Accepted Answer

(1, -4), (3, -6)

Answer

(3, -6)

Answer

(1, -4), (-4, -5)

Answer

No Solution

Question 13

The admission fee at a small fair is $1.50 for children and $4.00 for adults. On a certain day, 2200 people enter the fair and $5050 is collected. How many CHILDREN attended?

Accepted Answer

1500

Answer

700

Answer

32000

Answer

14

Question 14

The difference of two numbers is 3, and the sum of their cubes is 407. Find the numbers.

Accepted Answer

7 and 4

Answer

3 and 6

Answer

7 and 10

Answer

10 and 13

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