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Non Nspire Questions 03/26/24 5th, 6th, 7th, 8th

Total questions: 83

Worksheet time: 12hrs 28mins

Name
Class
Date
1.

Define: DOMAIN

a)

Bottom to Top

b)

Always all Real Numbers

c)

All possible Y values

d)

All possible X values

2.

Which expression is equivalent to 63x249x-63x^2-49x ?

a)

7x(9x7)-7x\left(9x-7\right)

b)

7x(9x7)7x\left(9x-7\right)

c)

7x(9x+7)-7x\left(9x+7\right)

d)

7x(9x+7)7x\left(9x+7\right)

3.

Which expression is equivalent to g(x)=6x213x5g\left(x\right)=6x^2-13x-5 ?

a)

(2x+5)(3x1)\left(2x+5\right)\left(3x-1\right)

b)

(2x5)(3x+1)\left(2x-5\right)\left(3x+1\right)

c)

(2x+1)(3x+5)\left(2x+1\right)\left(3x+5\right)

d)

(2x1)(3x5)\left(2x-1\right)\left(3x-5\right)

4.

Define: Equivalent

a)

Substituting a number for each variable

b)

One is the same as the other

c)

A place where two lines on a graph meet

d)

All possible X values

5.

Define: Evaluate

a)

Substituting a number for each variable

b)

One is the same as the other

c)

A place where two lines on a graph meet

d)

All possible X values

6.

Define: Intersection

a)

Substituting a number for each variable

b)

One is the same as the other

c)

A place where two lines on a graph meet

d)

All possible X values

7.

What is the Linear Regression Formula?

a)

y1mx1+by_1\sim mx_1+b

b)

y1a(b)x1y_1\sim a\left(b\right)^{x_1}

c)

y1ax12+bx1+cy_1\sim ax_1^2+bx_1+c

d)

y=mx+by=mx+b

8.

What is the Exponential Regression Formula?

a)

y1mx1+by_1\sim mx_1+b

b)

y1a(b)x1y_1\sim a\left(b\right)^{x_1}

c)

y1ax12+bx1+cy_1\sim ax_1^2+bx_1+c

d)

y=mx+by=mx+b

9.

What is the Quadratic Regression Formula?

a)

y1mx1+by_1\sim mx_1+b

b)

y1a(b)x1y_1\sim a\left(b\right)^{x_1}

c)

y1ax12+bx1+cy_1\sim ax_1^2+bx_1+c

d)

y=mx+by=mx+b

10.

Define: DOMAIN

a)

Bottom to Top

b)

Always all Real Numbers

c)

All possible Y values

d)

All possible X values

11.

Define: RANGE

a)

Left to Right

b)

Always all Real Numbers

c)

All possible Y values

d)

All possible X values

12.

Define: Rate of Change

a)

Where a graph crosses the Y-axis

b)

Where a graph crosses the X-axis

c)

y=mx+by=mx+b

d)

Slope

e)

m

13.

Define: SLOPE

a)

Where a graph crosses the Y-axis

b)

Where a graph crosses the X-axis

c)

y=mx+by=mx+b

d)

Rate of Change

e)

m

14.

Which statements are true?

Select all that apply.

a)

The equation of a line with a slope of 4 that passes through (1, 2) is

y=4x+2y=4x+2

b)

The equation of a line with a slope of -3 that passes through (1, 4) is

y=3x+7y=-3x+7

c)

The equation of a line that passes through (0, 5) and (2, 9) is

2xy=52x-y=5

d)

The equation of a line with a slope of 7 that passes through (3, 4) is

y4=7(x3)y-4=7\left(x-3\right)

15.

What is the Quadratic Regression Formula?

a)

y1mx1+by_1\sim mx_1+b

b)

y1a(b)x1y_1\sim a\left(b\right)^{x_1}

c)

y1ax12+bx1+cy_1\sim ax_1^2+bx_1+c

d)

y=mx+by=mx+b

16.

The "U" shape of a quadratic function.

a)

Axis of Symmetry

b)

Vertex

c)

Parabola

d)

Solution

17.

THe highest (max) or lowest (min) point of a parabola. The center point where the parabola changes directions. It is the point through which the axis of symmetry passes.

a)

Vertex of a parabola

b)

Domain

c)

Range

d)

Standard Form of a Polynomial

18.

The simplest function with the defining characteristic of the function family.

a)

Slope - Intercept Form

b)

Point - Slope Form

c)

Parent Function

d)

Standar Form

19.

Danna graphs the function f(x)=x2f\left(x\right)=x^2 and g(x)=f(x3).g\left(x\right)=f\left(x-3\right).

Choose the correct answer from each drop-down menu to complete the statement. The graph of g(x) is a ​

​ (a)   ​ (b)  

of the graph of f(x).

Choose from the below words
horizontal translation
3 units to the right
3 units to the left
vertical translation
horizontal reflection
vertical reflection
3 units above
3 units below
over the line y =-3
over the line x=-3
20.

A function is shown.

f(x)=74xf\left(x\right)=7-4x

What is the value of f(5)?f\left(-5\right)?

21.

What is one way to determine if a graph represents a function or not?

a)

horizontal line test

b)

negative numbers

c)

vertical line test

d)

separate values

22.

If a function has connected values then it is considered a _______ function.

a)

discrete

b)

continuous

23.

A change in the position, size, or shape of a figure or graph.

a)

slope

b)

transformation

c)

sequence

d)

rate of change

24.

Two or more equations or inequalities is referred to as what?

a)

system

b)

function

c)

rational

d)

solution

25.

Which one of the following is considered a function?

a)
b)
c)
26.

Select all the following words for x-intercepts.

a)

solutions

b)

roots

c)

zeros

27.

Where is the y-intercept located?

a)

axis of symmetry

b)

x-axis

c)

y-axis

28.

Equivalent means....

a)

the highest or lowest point of a function

b)

two things are equal

c)

all possible x values

d)

the line that cuts the parabola into two equal parts

29.

What is that dashed line called?

a)

axis of symmetry

b)

x-intercept

c)

slope

d)

y-intercept

30.

What is rate of change?

a)

axis of symmetry

b)

maximum

c)

minimum

d)

slope

31.

All possible y values of a function

a)

x-intercept

b)

domain

c)

range

d)

y-intercept

32.

The lowest or highest point on a graph is called?

a)

vertex

b)

x-intercept

c)

axis of symmetry

d)

y-intercept

33.

All possible x values of a function

a)

range

b)

domain

c)

x-intercept

d)

y-intercept

34.

All possible y values of a function

a)

x-intercept

b)

domain

c)

range

d)

y-intercept

35.

What is rate of change?

a)

axis of symmetry

b)

maximum

c)

minimum

d)

slope

36.

What is that dashed line called?

a)

axis of symmetry

b)

x-intercept

c)

slope

d)

y-intercept

37.

Equivalent means....

a)

the highest or lowest point of a function

b)

two things are equal

c)

all possible x values

d)

the line that cuts the parabola into two equal parts

38.

Where is the y-intercept located?

a)

axis of symmetry

b)

x-axis

c)

y-axis

39.

Select all the following words for x-intercepts.

a)

solutions

b)

roots

c)

zeros

40.

An asymptote is

a)

where the function crosses the y-axis

b)

the line that splits the function into two equal parts

c)

the highest point the function reaches

d)

a line that the function approaches but never reaches

41.

A discrete function is ______, ________ values. (choose 2)

a)

connected

b)

separate

c)

distinct

d)

continuous

42.

Parallel lines... (choose 2)

a)

have no solutions

b)

intersect to create right angles

c)

have multiple solutions

d)

never touch

43.

Two lines that intersect to create 4 right angles.

a)

parallel

b)

perpendicular

c)

axis of symmetry

d)

asymptote

44.

Which one of the following is considered a function?

a)
b)
c)
45.

Two or more equations or inequalities is referred to as what?

a)

system

b)

function

c)

rational

d)

solution

46.

A change in the position, size, or shape of a figure or graph.

a)

slope

b)

transformation

c)

sequence

d)

rate of change

47.

If a function has connected values then it is considered a _______ function.

a)

discrete

b)

continuous

48.

What is one way to determine if a graph represents a function or not?

a)

horizontal line test

b)

negative numbers

c)

vertical line test

d)

separate values

49.

Select the following symbol(s) that represent an inequality symbol

a)

==

b)

<<

c)

>>

d)

\le

e)

\ge

50.

Which parent function is the graph presenting?

a)

linear

b)

quadratic

c)

exponential

d)

cubic

51.

Which parent function is the graph presenting?

a)

linear

b)

quadratic

c)

cubic

d)

exponential

52.

Which parent function is the graph presenting?

a)

linear

b)

quadratic

c)

cubic

d)

exponential

53.

One solution to a system of equations is where the lines are ________.

a)

intersecting

b)

parallel

c)

touching the x-axis

d)

starting

54.

f(x)f\left(x\right)  represents

a)

x first because its in ( )

b)

f times x

c)

function notation

d)

the end of an equation

55.
Does this graph have a maximum or minimum value?
a)
maximum
b)
minimum
c)
neither
d)
both
56.

The point in which a graph hits the x-axis is know as the _____

a)

solution

b)

x-intercept

c)

root

d)

all the above

57.

Which transformation occurred from graph A to graph B?

a)

reflection over the x axis

b)

shifted 1 unit down

c)

vertical compress

d)

vertical stretch

58.

Which transformation occurred from graph A to graph B? (Choose 2)

a)

reflection over the x axis

b)

shifted left 3 units

c)

shifted up 3 units

d)

vertical stretch

59.

When the vertex of a parabola is at its highest point it is called a ______.

a)

axis of symmetry

b)

range

c)

minimum

d)

maximum

60.

When the vertex of a parabola is at its lowest point it is called a ______.

a)

axis of symmetry

b)

range

c)

minimum

d)

maximum

61.

A symbol that represents an unknown factor in an equation/expression.

a)

letter

b)

variable

c)

constant

d)

number

62.

The initial value is also known as the ____.

a)

y-intercept

b)

x-intercept

c)

zero

d)

solution

63.

Which one of the graphs represents a VERTICAL STRETCH from this graph?

a)
b)
c)
d)
64.

What transformation occurred from graph A to graph B? (Choose 2)

a)

vertical stretch

b)

shifted up 3 units

c)

vertical compress

d)

shifted left 1 unit

65.

The graph of part of linear function f is shown on the grid. Write an inequality that represents the domain of the part shown. Use <= for \le or >= for \ge if math keyboard is not available.

4 lines
66.

Graph the line represented by the equation y = -3(x - 2) - 4. Select two points on the coordinate grid. A line

67.

The graph of a line is shown. What are the equation and the slope of the line?

Move the correct answer to each box. Not all answers will be used.

Equation: ​ ​ ​ (a)  

Slope: ​ ​ (b)  

Choose from the below words
y=2
0
x=2
y=2x
2
undefined
68.

Which type of line has an undefined slope?

a)

Vertical line

b)

Horizontal line

c)

y = x

d)

uphill line

69.

Which type of line has a slope of zero?

a)

vertical line

b)

y = x

c)

horizontal line

d)

downhill line

70.

If you ever get lost on your Nspire, what button will get you back to "home base"?

a)

Ctrl

b)

Enter

c)

Home/On

d)

Esc

71.
HELP! I don't know where I am and I opened too many menus. What should I press?
a)

?

b)

Help button

c)

esc

d)

menu

72.

We are now done calculating and want to go back to "home base". What button does this?

a)

Esc

b)

Home/On

c)

Enter (5 times)

d)

Shift

73.

Which equation matches the graph? (Click me to see the image)


Hint: Graph and Compare

a)

y = 2x + 2

b)

y = 1/4x + 2

c)

y = 1x + 4

d)

y = 4x + 2

74.

Which value of x makes the equation 5x(74x)=2(3x4)-5x-\left(-7-4x\right)=-2\left(3x-4\right)  true?

Hint: Use TI-Nspire - Calculate - MENU - 3 - 1

a)

3

b)

5

c)

13\frac{1}{3}  

d)

15\frac{1}{5}  

75.

Which value of x makes the equation 0.75(x+20)=2+0.5(x2)0.75\left(x+20\right)=2+0.5\left(x-2\right)  true?

Hint: Use TI-Nspire - Calculate - MENU - 3 - 1

a)

64

b)

- 64

c)

56

d)

- 56

76.

What button is pressed first to activate the 2nd functions on the NSpire calculator? (Shown in blue in the picture.)

a)

ctrl

b)

menu

c)

tab

d)

doc

77.
What is the equation for axis of symmetry?
a)
y=3
b)
x=3
c)
x=5
d)
x=1
78.
What is the vertex?
a)
(-1,-2)
b)
(-2,-1)
c)
(-3,-1)
d)
(2,1)
79.
Which of the following equations matches vertex form of a quadratic?
a)
ax + by = c
b)
y = a(x - h)2 + k
c)
y = ax2 + bx + c
d)
y = mx + b
80.

Is the relation a function? Why.

a)

Yes, because the x-value 11 has two y-values pair with it.

b)

Yes, because each x-value has only one y-value paired with it.

c)

No, because the x-value 11 has two y-values pair with it.

d)

No, because each x-value has only one y-value paired with it.

81.
a)
Function
b)
Not a Function
82.
Is this graph a function or not a function? 
a)
Function 
b)
Not a Function 
83.
a)
Function
b)
Not a Function