Quiz about Solving Linear and Quadratic Systems

Question 1

How many solutions does this system of equations have?

Accepted Answer

one solution

Answer

two solutions

Answer

no solutions

Answer

All of the above

Question 2

How many solutions does this system of equations have?

Accepted Answer

two solutions

Answer

one solution

Answer

three solutions

Answer

no solutions

Question 3

How many solutions does this system of equations have?

Accepted Answer

no solution

Answer

one solution

Answer

two solutions

Answer

infinitely many solutions

Question 4

Graph the following equations:

y=2x-1

y=x²

Accepted Answer

Option C is correct

Answer

A.

Answer

B.

Answer

D.

Question 5

Graph the following equations:

y = - 1

y = x² - 2

Accepted Answer

Option D is correct

Answer

A.

Answer

B.

Answer

C.

Question 6

Solve the system of Equations:

y= 3

y= x² - 4x + 7

Accepted Answer

Answer

(2,3) and (4,3)

Answer

(3,2) and (3,4)

Answer

Only (-2,3)

Question 7

Solve by Elimination:

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 by Elimination:

y = x² - 4x + 6

y = x + 2

Accepted Answer

(1, 3) and (4, 6)

Answer

(3, 1) and (6, 4)

Answer

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

Answer

(1, 4) and (3, 6)

Question 9

Solve by Substitution:

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 10

Which of the following equations could be used to solve:
y = x² + 3x - 5
y = x + 3

Accepted Answer

x² + 3x - 5 = x + 3

Answer

x² - 3x + 5 = x - 3

Answer

x² + 3x - 5 + x + 3 = 0

Answer

x² + 3x - 5 = 0

Question 11

If given the equation
y = 3(x + 5)² - 4,
what is the vertex of the parabola?

Accepted Answer

(-5, -4)

Answer

(5, -4)

Answer

(-15, -4)

Answer

(15, -4)

Question 12

Given the equation for this parabola:
y=-(x-4)²-3,
does this parabola have a maximum or minimum value?

Accepted Answer

Maximum

Answer

Minimum

Question 13

The axis of symmetry line passes through which point?

Accepted Answer

vertex

Answer

y-intercept

Answer

any random point

Answer

symmetrical point for the vertex

Question 14

If given the equation y = 3(x + 5)² - 4, what is the vertex of the parabola?

Accepted Answer

(-5, -4)

Answer

(5, -4)

Answer

(-15, -4)

Answer

(15, -4)

Question 15

How can you tell the direction of the opening of the graph of a parabola by looking at the equation?

Accepted Answer

The value of "a" tells you the direction of the opening.

Answer

The vertex tells you the direction of the opening

Answer

All parabolas open upward

Answer

All parabolas open downward

Question 16

What is the green dashed line called?

Accepted Answer

axis of symmetry

Answer

roots or x-intercepts

Answer

parabola

Answer

line of dashes

Question 17

A parabola has a vertex at (-3,2).
Where is the axis of symmetry?

Accepted Answer

x = -3

Answer

y = -2

Answer

x = 3

Answer

y = 2

Question 18

Which equation has a vertex of (-3, 4)?

Accepted Answer

y = 2(x+3)²+ 4

Answer

y = (x+3)² - 4

Answer

y = (x-3)² + 4

Answer

y = 2(x - 3)² + 4

Question 19

Write y = x² + 4x - 1 in vertex form.

Accepted Answer

y = (x + 2)² - 5

Answer

y = (x - 2)² + 5

Answer

y = (x + 2)² - 1

Answer

y = (x +2)² + 3

Question 20

Find the vertex of
f(x) = -x²- 4x + 12.

Accepted Answer

(-2, 16)

Answer

(2, 0)

Answer

(2, 4)

Answer

(-2, 4)

Solving Linear and Quadratic Systems

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