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Copy of ALGEBRA 1 - UNIT 3 - BUILD LINEAR FUNCTION AND MODELS - EXAM (8/9/2024)

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Asemmisa {{asɛmmisaAhyɛnsode}}
1.

LEVEL 2

A set of data includes the point (17, 3.8) and has the regression equation: y = −25x + 436.

What is the residual for this point?

SHOW YOUR WORK.

Asemmisa {{asɛmmisaAhyɛnsode}}
2.

LEVEL 2

A runner competes in six races of the same distance. Which equation models the line of best fit for the data? The results are shown in the table.

SHOW YOUR WORK.

Asemmisa {{asɛmmisaAhyɛnsode}}
3.

LEVEL 2

Place an X in the table to show whether each relationship is a correlation or a causation.

Asemmisa {{asɛmmisaAhyɛnsode}}
4.

What is the recursive rule for the sequence 54, 57, 60, 63, 66, ...?

SHOW YOUR WORK.

Asemmisa {{asɛmmisaAhyɛnsode}}
5.

LEVEL 2

Which explicit rule represents the sequence: 31, 28, 25, 22. ...?

SHOW YOUR WORK.

Asemmisa {{asɛmmisaAhyɛnsode}}
6.

Consider the sequence 100, 95, 90, 85, 80, 75, … What is the value of f(8)?

SHOW YOUR WORK

Asemmisa {{asɛmmisaAhyɛnsode}}
7.

LEVEL 2

The table shows the values of the first five terms of the arithmetic sequence f(n).

  1. What is the common difference of the sequence?

  2. Write the explicit formula of the sequence.

SHOW YOUR WORK.

Asemmisa {{asɛmmisaAhyɛnsode}}
8.

What are the coordinates of the vertex of the function: f(x)=2|x−3|+2.4?

SHOW YOUR WORK.

Asemmisa {{asɛmmisaAhyɛnsode}}
9.

How is the graph of the function g(x)=|x+12|−35 related to the graph of f(x)=|x|?

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10.

What is the solution to the inequality: 5.62|−0.25x+9|−21.34 ≥ 18?

SHOW YOUR WORK.

Asemmisa {{asɛmmisaAhyɛnsode}}
11.

LEVEL 2

The function: g(x)=−3|x−2|+5 is a transformation of the function: f(x)=|x|.

What are the values of g(x) for the given values of x?

Filling the table with the missing values of g(x).

SHOW YOUR WORK

Asemmisa {{asɛmmisaAhyɛnsode}}
12.

LEVEL 3

The table shows the relationship between the width and length of soybeans in a sample taken from a certain farm.

SHOW YOUR WORK FOR PART (b).

Asemmisa {{asɛmmisaAhyɛnsode}}
13.

LEVEL 3

Social scientists surveyed workers about their daily commutes to work. The data are shown in the table.

SHOW YOUR WORK.

Asemmisa {{asɛmmisaAhyɛnsode}}
14.

LEVEL 3

The total cost of buying rolls at a bakery can be defined by an arithmetic sequence that depends on how many rolls are bought. The bakery charges $5.00 for one dozen rolls and $0.50 for each additional roll. What is the common difference, per roll, of this sequence in dollars?

SHOW YOUR WORK.

Asemmisa {{asɛmmisaAhyɛnsode}}
15.

The function: g(x) shown in the graph is the transformation of the function: f(x)=|x|.

What is the equation for g(x)?

SHOW YOUR WORK.

Asemmisa {{asɛmmisaAhyɛnsode}}
16.

LEVEL 4

Six data points are shown in the table.

SHOW YOUR WORK.

Asemmisa {{asɛmmisaAhyɛnsode}}
17.

LEVEL 3

The graph of f(x) = 5 is shown. Graph the function g(x) = 4|x+2|−7

Then plot the points that indicate solutions to 4|x+2|−7=5

SHOW YOUR WORK.