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Biblioteka

Term 1 Focused Informal Practice Questions

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Posljednje ažuriranje 7 months ago
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The Exam is not limited to the Focused IPQs questions, so please revise this and then go back and review the desmos questions

1.1 Writing and Interpreting Equations
1
4
1
1
1
1
1
1.2 Solving Equations with the variables on both sides
1
1
1
1
1
1
1
1
1
1
1
1
1
1.3 Solving Equations Involving Absolute Value
1
1
1
1
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1
1
1.4 Solving Proportions
1
1
1
1
1
A.CED.1
A.REI.3
1.5 Using Formulas
1
1
1
1
1
1
2.1 Graphing Linear Functions
1
1
1
1
1
2.2 Rates of Change and Slopes
1
1
1
1
1
1
2.3 Slope-Intercept Form
2.4 Transformation of Linear Functions
1
1
5
1
4
1
2.5 Arithmetic Sequence
5
4
1
1
1
1
1
2
2.6 Piecewise and Step Functions
1
1
2.7 Absolute Value Functions
1
3.1 Writing Equations in Slope-Intercept Form
1
1
1
1
1
3.2 Writing Equations in Standard and Point-Slope Form
1
1
1
1
1
1
1
3.3 Scatter Plot and Lines of Fit
3
2
1
1
3.4 Correlation and Causation
5
1
3.6 Inverses of Linear Functions
1
1
1
1
1
1
1
1
1
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1
1
1
4.2 Solving Compound Inequalities
1
1
4.3 Solving Absolute Value Inequalities
1
Pitanje 1
1.

Which equation represents this sentence?
Four times the sum of a number x and a number y is equal to 25.

Pitanje 2
2.
Drugi mogući odgovor:

Pitanje 3
3.

Write an equation to represent this sentence.
The difference of twice x and four times the quantity x plus y is equal to ten.

Pitanje 4
4.

Write an equation for the below sentence.

Three added to four times a number n is the same as 19.

Pitanje 5
5.

Write a sentence for the equation: $2 + 3n = 5n$

Pitanje 6
6.

Write a sentence for the below equation.
$7(3 + 5n) = an$

Pitanje 7
7.

Write a sentence for the equation: $2(x + 1) = 10$

Pitanje 8
8.

Solve the equation:

Pitanje 9
9.

Solve each equation:

Pitanje 10
10.

Solve each equation:

Pitanje 11
11.

Solve each equation:

Pitanje 12
12.

Solve $4(x+9)=6x-4$.

Pitanje 13
13.

Solve

, for

Pitanje 14
14.

Solve

Pitanje 15
15.

Identify the term that best describes each equation

  • $3(t+2)=2+3t+4$

  • $7x+5=7(x+5)$

  • $10-m=m-10$

  • One Solution

  • No Solution

  • Infinitely Many Solutions

Pitanje 16
16.

Which of the following linear equations has no solution?

Pitanje 17
17.

Which of the following linear equations has infinitely many solutions?

Pitanje 18
18.

Solve the equation for

Pitanje 19
19.

Solve the equation for

Pitanje 20
20.

Solve the equation for

Pitanje 21
21.

Solve

, for

Pitanje 22
22.

Solve the equation:

.

Pitanje 23
23.

Solve

. Select all that apply.

Pitanje 24
24.

Which of the following, if any, is/are the solution(s) for the equation

?

Pitanje 25
25.

Solve the equation

. Show you checked your solutions.

Pitanje 26
26.

Solve the equation

. Show you checked your solutions.

Pitanje 27
27.

Solve the equation

. Show you checked your solutions.

Pitanje 28
28.

Solve the equation for

Pitanje 29
29.

Solve the equation for

Pitanje 30
30.

Which of the below is the solution to

?

Pitanje 31
31.

Which of the below is the solution to

?

Pitanje 32
32.

Solve

Pitanje 33
33.

Solve the equation

for $x$.

Pitanje 34
34.

Solve

, for $w$.

Pitanje 35
35.

The base of a triangle, $b$, is $5$. The area of the triangle is $25$.

Find the height of the triangle, $h$.

(Hint: Area of a triangle is

)

Pitanje 36
36.
Pitanje 37
37.

The chart shows common household conversions:

Choose the correct unit so that the value is equivalent to $5$ pints. $80$ ____?

Pitanje 38
38.

If $1$ foot ≈ $0.305$ meter, approximately how many feet are in $8$ meters?

Pitanje 39
39.

Which relation is a function?

Pitanje 40
40.

Which relation is NOT a function?

Pitanje 41
41.

What is the range of the relation below?

1
Pitanje 42
42.

Identify the domain of the relation.

1
Pitanje 43
43.

Identify the range of the relation.

1
Pitanje 44
44.

Is the relation a function? Explain

Pitanje 45
45.
Pitanje 46
46.

Graph

using the $x-$ and $y-$intercept.

  • Kliknite na karticu Grafikon (Grafikon 1, Grafikon 2 i tako dalje) za svaki grafikon koji trebate nacrtati.
  • Kliknite na pozadinu grafikona da biste dodali tačku. Dodajte dvije tačke da biste kreirali grafikon. Prevucite tačku ili unesite x i y koordinate da biste uredili njen položaj. Kliknite na tačku da biste je izbrisali.
  • Nakon što kreirate grafikon, možete označiti kućicu s isprekidanom linijom.

Sultan has $$24$ to spend on peanuts and pretzels for a party. Peanuts cost $$3$ per pound and pretzels cost $$2$ per pound.

1
Pitanje 47
47.

What an equation that relates the number of pounds of pretzels $y$ and the number of pounds of peanuts $x$.

1
Pitanje 49
49.

The slope of a line that passes through $(-3, 2)$ and $(-3, 4)$ is undefined.

Pitanje 50
50.

Which pair(s) of points form a line with a negative slope? Select all that apply.

Pitanje 51
51.
Pitanje 52
52.

Given a line that passes through the points$(3,4)$ and $(-5,0)$.

Find the slope of the line.

Pitanje 53
53.

Find the value of $x$ so that the line passing through the$(x,-7)$and $(1,2)$ has the given slope $m=3$.

Pitanje 54
54.

Find the value of $y$ so that the line passing through the $(9,y)$ and$(3,2)$ has the given slope

1
Pitanje 55
55.

What is the equation, in slope-intercept for of the linear function $a$ graphed ?

1
Pitanje 56
56.

Refer to the line graphed, and find the slope.

1
Pitanje 57
57.

Refer to the line graphed, and find the y-intercept.

1
Pitanje 58
58.

Refer to the line graphed, and find the equation of the line.

Pitanje 59
59.

Match the linear function with the correct description of how its graph differs from the parent graph.

Stavka koja se može prevućiarrow_right_altOdgovarajuća stavka

arrow_right_alt

reflected across x-axis and stretched vertically

arrow_right_alt

reflected across y-axis and compressed horizontally

Pitanje 60
60.

Match the linear function with the correct description of how its graph differs from the parent graph.

Stavka koja se može prevućiarrow_right_altOdgovarajuća stavka

$h(x)=(x+5)+5$

arrow_right_alt

The graph of the parent function stretched vertically and reflected across the x-axis.

$k(x)=(x-5)$

arrow_right_alt

The graph of the parent function compressed horizontally and reflected across the y-axis.

$g(x)=(-5x)$

arrow_right_alt

The graph of the parent function translated 5 units left and 5 units up.

$f(x)=-5(x)$

arrow_right_alt

The graph of the parent function translated 5 units right.

Pitanje 61
61.

Determine the type of transformation in each function as it relates to the parent function.

  • $g(x)=3x$

  • $g(x)=-(x)$

  • $g(x)=x-3$

  • $g(x)=4(x)$

  • $g(x)=(x)-2$

  • Translation

  • Dilation

  • Reflection

Pitanje 62
62.

Describe the transformation in $g(x)=-4(x)$ as it relates to the parent function $f(x)=x$.

Pitanje 63
63.

Select all the transformations in $h(x)=-(3x-5)+2$ as it relates to the parent function.

Pitanje 64
64.

Describe the transformation in $h(x)=-(x+3)-1$ as it relates to the parent function.

Pitanje 65
65.

Determine whether each sequence is an arithmetic sequence.

  • $3, 6, 9,12,..$

  • $-2, -8, -32, -128, ...$

  • $1.5, 3, 4.5, 6, ...$

  • $13, 7, 1, -5, ...$

  • $8, 10, 14, 20, ...$

  • Arithmetic Sequence

  • Not an Arithmetic Sequence

Pitanje 66
66.

Determine whether each of the below sequences is arithmetic or not. Select Yes or No.

Yes, an arithmetic sequence

No, not an arithmetic sequence

$- 2, 1,4,7, ...$

$7, 10, 13, 16, ...$

$-3, 1,5, 9, ...$

$4, 7,9,12, ...$

Pitanje 67
67.

Determine whether or not each sequence is an arithmetic sequence. If it is, give the

common difference, $d$.

$1, 15, 29, 43, ...$

Pitanje 68
68.

Determine whether or not each sequence is an arithmetic sequence. If it is, give the

common difference, $d$.

$1, - 2, 3, - 4, 5, ....$

Pitanje 69
69.

Determine whether or not each sequence is an arithmetic sequence. If it is, give the

common difference, $d$.

$34, 39, 44,49,54, ...$

Pitanje 70
70.

Determine whether or not each sequence is an arithmetic sequence. If it is, give the

common difference, $d$.

$2, 4, 6, 10, 14, 18, ...$

Pitanje 71
71.

Determine whether or not each sequence is an arithmetic sequence. If it is, give the

common difference, $d$.

$72, 64, 56, 48, 40, ...$

Pitanje 72
72.
Pitanje 73
73.

Select the graph of

1
Pitanje 74
74.

Graph the function

1
Pitanje 75
75.

Find its domain and range

Pitanje 76
76.

Joey wants to rent a surfboard. The cost is $$13$ for every hour rented and any fraction of an hour is rounded up to the next hour.

Which graph represents this situation?

Pitanje 77
77.

Select the graph of

Given the function

1
Pitanje 78
78.

Make a table of the graph.

1
Pitanje 79
79.

Graph the function

1
Pitanje 80
80.

State the domain and range

Pitanje 81
81.

Which equation represents a line passing through the point $(8, 9)$ with a slope of $3$?

Pitanje 82
82.

Which equation represents a line that passes through the points $(4, 5)$ and $(6, 9)$?

Pitanje 83
83.
Pitanje 84
84.

A health club has a monthly membership fee of AED $750$ and charges an additional fee of AED $30$ for every exercise class attended.

Write an equation that represents the total cost,$y$, for a month in which a member attends$x$ exercise classes.

Pitanje 85
85.

A movie theater sells popcorn in a reusable bucket for $$3.50$. They offer refills for $$0.50$ each.

Write an equation in slope-intercept form to model the cost in dollars, $y$, for $x$ refills.

Pitanje 86
86.

Which equation represents a line that passes through the points $(7, 5)$ and $(6, 1)$?

Pitanje 87
87.

Which equation represents a line passing through the points $(4, 0)$ and $(0, 3)$?

Pitanje 88
88.

Which shows the equation

written in standard form?

Pitanje 89
89.

Write the equation of the line represented by

in standard form.

Pitanje 90
90.

Write y $- 8 = -7(x + 2)$in standard form.

Pitanje 91
91.

Write the below equation in standard form

Pitanje 92
92.

Write the equation in slope-intercept form of the line that is parallel to the graph of $y-3x=6$ and passes through the given point $(4,7)$.

1
Pitanje 93
93.

Scatter plot A

1
Pitanje 94
94.

Scatter plot B

Pitanje 95
95.

Match each scatter plot to its description

Stavka koja se može prevućiarrow_right_altOdgovarajuća stavka

arrow_right_alt

No correlation

arrow_right_alt

Negative correlation

arrow_right_alt

Positive correlation

Pitanje 96
96.

Match the scatter plot to its description

Drugi mogući odgovor:

Positive Correlation

Negative Correlation

Pitanje 97
97.

What is the approximate slope of the line of best fit of the scatter plot?

Pitanje 98
98.
1
Pitanje 99
99.

Make a scatter plot and draw a line of fit.

1
Pitanje 100
100.

If

represents the number of years since 2005, then year 2005 is represented by
and year 2020 is represented by
.

Find two points that are on the line of fit and use them to find the equation of the line of fit.

Two points on the line of fit are $(4,175)$ and $(12, 189)$.

Pitanje 101
101.

Correlation and Causation

Correlation but not Causation

Neither

A student created a scatter plot comparing height and shoe size for students in his school. The data show an increasing trend.

A student created a scatter plot comparing shoe size and grade point average. The data showed a random arrangement of points.

A study found no noticeable relationship between the number of hours students spend exercising and student grades

Jamal noticed that his favorite baseball team was more likely to win when he wore a certain hat.

A study found there is a positive correlation between weekly time spent studying and grade point averages.

Pitanje 102
102.

For eight weeks, a student kept track of the time he spent studying each week and his weekly algebra quiz scores. He then plotted the variables on a scatter plot and noticed that the points generally fell along a straight line.

What typr of relationship most likely exists between the two variables?

A study of 100 randomly selected students from first through sixth grade finds a strong correlation between overall fitness and participation in sports.

1
Pitanje 103
103.

Can you conclude that participation in a sport causes students to be more fit?

1
Pitanje 104
104.

Why or Why not?

A salesperson at a department store notices a strong negative correlation between the daily sales of raincoats and swimsuits.

To increase the number of swimsuits sold, he believes that the store should stock fewer raincoats.

1
Pitanje 105
105.

Is this reasonable?

1
Pitanje 106
106.

Why or Why Not?

Pitanje 107
107.

This table defines a relation. Which table shows the inverse of the relation?

Pitanje 108
108.

These ordered pairs define a function:

Select all ordered pairs that are in the inverse of the function

Pitanje 109
109.

Find the inverse of the relation

Pitanje 110
110.

Which function is the inverse of

?

Pitanje 111
111.

Find the equation of the inverse of

Pitanje 112
112.

Which of the following represents the inverse of

?

Pitanje 113
113.

Using the graph of

, what is
?

Pitanje 114
114.

Which is the solution set of

?

Pitanje 115
115.

Solve

Pitanje 116
116.

Solve

Pitanje 117
117.

Solve

Pitanje 118
118.

Which is the solution set of

?

Pitanje 119
119.

Select all the possible solutions of

.

Pitanje 120
120.

Which of the given inequalities is the solution to the graph below?

Pitanje 121
121.

Draw a graph to represent the solution set of

.

Pitanje 122
122.

Solve the compound inequality

or

The compound inequality

1
Pitanje 123
123.
1
Pitanje 124
124.

Graph it

Pitanje 125
125.

Solve

The compound inequality

1
Pitanje 126
126.

Solve it

1
Pitanje 127
127.

Graph it

  • Kliknite na karticu Grafikon (Grafikon 1, Grafikon 2 i tako dalje) za svaki grafikon koji trebate nacrtati.
  • Kliknite na pozadinu grafikona da biste dodali zatvorenu tačku. Kliknite na zatvorenu tačku da biste je pretvorili u otvorenu tačku. Kliknite ponovo da biste je izbrisali. Dodajte dvije tačke da biste kreirali linijski segment.
Pitanje 128
128.

Solve the absolute value inequality

1
Pitanje 129
129.

Solve it

1
Pitanje 130
130.

Graph it

  • Kliknite na karticu Grafikon (Grafikon 1, Grafikon 2 i tako dalje) za svaki grafikon koji trebate nacrtati.
  • Kliknite na pozadinu grafikona da biste dodali zatvorenu tačku. Kliknite na zatvorenu tačku da biste je pretvorili u otvorenu tačku. Kliknite ponovo da biste je izbrisali. Dodajte dvije tačke da biste kreirali linijski segment.
Pitanje 48
48.

Graph the equation using the $x-$ and $y-$intercepts.

  • Kliknite na karticu Grafikon (Grafikon 1, Grafikon 2 i tako dalje) za svaki grafikon koji trebate nacrtati.
  • Kliknite na pozadinu grafikona da biste dodali tačku. Dodajte dvije tačke da biste kreirali grafikon. Prevucite tačku ili unesite x i y koordinate da biste uredili njen položaj. Kliknite na tačku da biste je izbrisali.
  • Nakon što kreirate grafikon, možete označiti kućicu s isprekidanom linijom.