zMATH 170  - Unit 29: Linear and Nonlinear Progressions, Functions, Graphing Functions, and Linear Equations

Sequences


1)

For this sequence, state the next three terms, explain the connection that exists in the pattern, and state if the sequence is linear or nonlinear.

21, 28, 35...


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2)

For this sequence, state the next three terms, explain the connection that exists in the pattern, and state if the sequence is linear or nonlinear.

2, 4, 8, 16, 32...


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3)

For this sequence, state the next three terms, explain the connection that exists in the pattern, and state if the sequence is linear or nonlinear.

1, 2, 4, 7, 10...


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4)

For this sequence, state the next three terms, explain the connection that exists in the pattern, and state if the sequence is linear or nonlinear.

4, 2, 0, –2...


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Functions


5)

Print out the table. For the function y = 3x, find the y values for the x values provided in the chart. For each input value, write the input value, the function rule, and the output value. For example: for the first input value, show –4, 3 × –4, –12.

Printable Table


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6)

Print out the table. For the function y = 2x – 3, find the y values for the x values provided in the chart. For each input value, write the input value, the function rule, and the output value.

Printable Table


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7)

Print out the table. For the function y = x + 7, find the y values for the x values provided in the chart. For each input value, write the input value, the function rule, and the output value.

Printable Table


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Graphing Functions


8)

Print out the table. For the function y = x – 5, find the y values for the x values provided in the chart. Write the five ordered pairs.

Printable Table


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9)

Print out the coordinate plane. Graph the five ordered pairs found in problem #8 and draw a straight line through the five points.

a)  Write the ordered pair for the point where the graphed line crosses the x-axis.
b)  Write the ordered pair for the point where the graphed line crosses the y-axis.
c)  Write an ordered pair for another point on the line that is not listed in the table.
 

Printable Cordinate Plane


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10)

Print out the table. For the function y = x + 4, find the y values for the x values provided in the chart. State the five ordered pairs.

Printable Table


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11)

Print out the coordinate plane. Graph the five ordered pairs found in problem #10 and draw a straight line through the five points.

a)  Write the ordered pair for the point where the graphed line crosses the x-axis.
b)  Write the ordered pair for the point where the graphed line crosses the y-axis.
c)  Write an ordered pair for another point on the line that is not listed in the table.  
 

Printable Coordinate Plane


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Graphing Linear Equations


12)

Print out the table. Choose any five values for x and then find the corresponding y for the linear equation, y = 3x + 1. Write the ordered pairs.

Printable Table


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13)

Print out the coordinate plane. Graph the five ordered pairs found in problem #12 and draw a straight line through the five points.

a)  Write the ordered pair for the point where the graphed line crosses the x-axis.
b)  Write the ordered pair for the point where the graphed line crosses the y-axis.
c)  Write an ordered pair for another point on the line that is not listed in the table.  
 

Printable  Coordinate Plane


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14)

Print out the table. Choose any five values for x and then find the corresponding y for the linear equation, y = 2x – 3. Write the ordered pairs.

Printable Table


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15)

Print out the coordinate plane. Graph the five ordered pairs found in problem #14 and draw a straight line through the five points.

a)  Write the ordered pair for the point where the graphed line crosses the x-axis.
b)  Write the ordered pair for the point where the graphed line crosses the y-axis.
c)  Write an ordered pair for another point on the line that is not listed in the table.  
 

Printable Coordinate Plane


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Review


16)

All quadrilaterals with four congruent sides are squares.


17)

Solve.


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18)

Shelly invested $2,500 in a bank certificate of deposit. The interest rate is 4.25% for two years. How much simple interest will the certificate earn? (I = prt)


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19)

Write a simplified algebraic expression for the expression, x decreased by 9.


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20) Find an object in your home that is shaped like a rectangular prism, cylinder, or cube that is a container. State the name of the object, its use, and its dimensions. Calculate its volume and write the answer and label answer correctly.

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21)

Find an object in your home that is shaped like a rectangular prism, cylinder, or cube and it could be wrapped as a gift. What is the name of the object, its use, and its dimensions? Calculate approximately how much wrapping paper would be used to wrap the object and write the answer and label answer correctly.


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22)

Find the area of the picture frame border below. Write the answer and label answer correctly.


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23)

Find the area of the teal-green portion of the circle. The circle’s radius is 8 inches. Write the answer and label answer correctly.


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24)

Study the trapezoidal prisms below. Answer the following questions about any one of the prisms: how many faces does a trapezoidal prism have, how many faces are the shape of a trapezoid, how many faces are in the shape of a rectangle?


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25)

State the solid described. State the letter of the description in the order given and then state the solid that fits the description.

a)  _______________ is one continuous curved surface where all of its points are equidistant from a center point.

b)  _______________ has six rectangular faces that meet at right angles

c)  _______________ has a polygon for its base and triangles for its sides which meet at one vertex

d)  _______________ has two triangles for bases and three rectangular sides

e)  _______________ has two circular bases and a curved surface

f)  _______________ has a curved surface, a circular base, and one vertex

g)  _______________ is a rectangular prism where all sides are congruent


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