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Quantitative Literacy
Linear & Exponential Functions

1
Introduction to Functions

Problem  1
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Determine the domain and range of the relations shown.

Choose instructor to watch:
Mr. McKeague cc
Mr. McKeague
Molly S. cc
Molly S.
Logan cc
Logan
Cynthia espanol spanish
Cynthia
Problem  2
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Determine whether each given relation is a function.

Choose instructor to watch:
Mr. Perez
Mr. Perez
Julieta cc
Julieta
Julieta espanol spanish
Julieta
Problem  3
practice icon

Determine whether each given relation is a function.

Choose instructor to watch:
Mr. Perez
Mr. Perez
Julieta
Julieta
Julieta espanol spanish
Julieta
Problem  4

Determine whether each equation is a function.

  1. 3x2y=6

  2. y=7

  3. x=3

  4. y=12x1

Choose instructor to watch:
Mr. Perez
Mr. Perez
Julieta
Julieta
Julieta espanol spanish
Julieta
Problem  5
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Is f(x)=4x1 and g(x)=x2+2, then find f(x) and g(x) when x=5, 2, 0, z, a, and a+3.

Choose instructor to watch:
Betsy cc
Betsy
Preston cc
Preston
Julieta cc espanol spanish
Julieta
Problem  6
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f={(2,0),(3,1),(2,4),(7,5)} find f(2), f(3), f(2), and f(7)

Choose instructor to watch:
Betsy cc
Betsy
Preston cc
Preston
Edwin espanol spanish
Edwin
Problem  7

Mini Lecture
Let f(x)=2x1 and g(x)=x24 find

a. f(0) b. f(1) c. f(1)
d. f(a) e. g(0) f. g(2)
g. g(3) h. g(t) i. f(a+5)
j. f(x+h) k. g(a1) l. g(f(x))
Choose instructor to watch:
Mr. McKeague cc
Mr. McKeague
Mini Lecture

Mini Lecture
Let f(x)=2x28, find:

  1. f(0)

  2. f(3)

  3. f(a)

  4. f(a3)

  5. Graph f(x)=x2 and find f(1), f(2), and f(3).

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Mr. McKeague cc
Mr. McKeague
Problem  9

Mini Lecture
Let f(x)=2x1 and g(x)=x24 find

  1. Find x if f(x)=0

  2. Find x if g(x)=0

  3. Find x if f(x)=g(x)

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Mr. McKeague cc
Mr. McKeague
Mini Lecture

Mini Lecture
Are these functions?

  1. {(7,1),(3,1),(7,4)}

  2. {(4,1),(1,4),(1,4)}

Choose instructor to watch:
Mr. McKeague cc
Mr. McKeague

2
Slope

Problem  1
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Find the slope through (1,2) and (3,5)

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Betsy cc
Betsy
Preston cc
Preston
Katherine cc
Katherine
David espanol spanish
David
Problem  2
practice icon

Find the slope through (2,1) and (5,4)

Choose instructor to watch:
Betsy cc
Betsy
Preston cc
Preston
Molly S. cc
Molly S.
Cynthia espanol spanish
Cynthia
Problem  3
practice icon

Find the slope of the line containing (3,1) and (3,4).

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Betsy cc
Betsy
CJ cc
CJ
Preston cc
Preston
Cynthia espanol spanish
Cynthia
Problem  4
practice icon

Graph the line with slope 32 and y-intercept 1.

Choose instructor to watch:
Betsy cc
Betsy
Preston cc
Preston
Molly S. cc
Molly S.
Cynthia espanol spanish
Cynthia
Problem  5
practice icon

Find the slope and y-intercept for 2x+y=4. Then draw the graph.

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Betsy cc
Betsy
Preston cc
Preston
CJ cc
CJ
Cynthia espanol spanish
Cynthia
Problem  6
practice icon

Find the slope and y-intercept for 3x2y=6.

Choose instructor to watch:
Betsy cc
Betsy
Preston cc
Preston
CJ cc
CJ
Cynthia espanol spanish
Cynthia
Problem  7

Determine whether each pair of lines is parallel, perpendicular, or neither.

  1. y=14x54x+y=3

  2. 3x+2y=66x+4y=0

  3. 2x+y=1x3y=6

Choose instructor to watch:
Julieta
Julieta
Julieta espanol spanish
Julieta
Mini Lecture

Mini Lecture

  1. Find the slope between (3,2) and (1,3).

  2. Graph the line with the slope 32 and y-intercept 3.

Choose instructor to watch:
Mr. McKeague cc
Mr. McKeague

3
Linear Regression

Problem  1
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Choose instructor to watch:
Molly S. cc
Molly S.
Octabio cc
Octabio
Julieta
Julieta
Julieta espanol spanish
Julieta
Problem  2
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Choose instructor to watch:
Kendra cc
Kendra
Logan cc
Logan
Julieta cc espanol spanish
Julieta
Problem  3
Choose instructor to watch:
Logan cc
Logan
Molly S. cc
Molly S.
Cynthia espanol spanish
Cynthia
Octabio espanol spanish
Octabio
Problem  4
practice icon
Choose instructor to watch:
Kendra cc
Kendra
Logan cc
Logan
Mini Lecture
Choose instructor to watch:
Katherine
Katherine

4
Exponential Functions and Applications

Problem  1
practice icon

Find the values of the exponential functions f and g, where f(x)=2x and g(x)=3x, and x{0,1,2,3,2,3}.

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Stefanie cc
Stefanie
Preston cc
Preston
Anthony espanol spanish
Anthony
Problem  2
practice icon

A patient is administered a 1200-microgram dose of iodine-131. How much iodine-131 will be in the patient’s system after 10 days, after 16 days?

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Stefanie cc
Stefanie
CJ cc
CJ
Edwin espanol spanish
Edwin
Problem  3
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Sketch the graph of the exponential equation y=2x

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Jesse
Jesse
Betsy cc
Betsy
Preston cc
Preston
Julieta cc espanol spanish
Julieta
Problem  4
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Sketch the graph of y=(13)x

Choose instructor to watch:
Betsy cc
Betsy
CJ cc
CJ
Edwin espanol spanish
Edwin
Problem  5
practice icon

You deposit $500 in an account that earns 8% compounded quarterly. Find an equation that gives the amount of money in the account after t years, the amount in the account after 5 years, and when it will contain $1,000.

Choose instructor to watch:
Stefanie cc
Stefanie
Preston cc
Preston
Anthony espanol spanish
Anthony
Problem  6

You deposit $500 in an account with an annual interest rate of 8% compounded continuously. Find an equation that gives the amount of money in the account after t years, the amount in the account after 5 years.

Choose instructor to watch:
Stefanie cc
Stefanie
CJ cc
CJ
Edwin espanol spanish
Edwin
Mini Lecture

Mini Lecture
If f(x)=3x and g(x)=(12)x, find:

  1. g(0)

  2. f(3)

  3. f(2)+g(2)

  4. Graph y=2x

  5. Graph y=3x and its inverse.

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Mr. McKeague cc
Mr. McKeague

5
Algebraic Expressions

Problem  1
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Simplify.

  1. 3x+4x

  2. 7a10a

  3. 18y10y+6y

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Arielle cc
Arielle
Molly M. cc
Molly M.
Preston cc
Preston
David espanol spanish
David
Problem  2
practice icon

Simplify.

  1. 3x+5+2x3

  2. 4a72a+4

  3. 5x+8x+6

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Arielle cc
Arielle
Molly M. cc
Molly M.
CJ cc
CJ
David espanol spanish
David
Problem  3
practice icon

Simplify 5(2x8)3

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Arielle cc
Arielle
Molly M. cc
Molly M.
Preston cc
Preston
David espanol spanish
David
Problem  4
practice icon

Simplify 73(2y+1)

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Stefanie cc
Stefanie
CJ cc
CJ
Arielle cc
Arielle
David espanol spanish
David
Problem  5
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Simplify 5(x2)(3x+4)

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Arielle cc
Arielle
Molly M. cc
Molly M.
Preston cc
Preston
David espanol spanish
David
Problem  6
practice icon

Find the value of the expression 2x3y+4 when x is 5 and y is 6.

Choose instructor to watch:
Arielle cc
Arielle
Molly M. cc
Molly M.
Preston cc
Preston
David espanol spanish
David
Problem  7

Find the value of the expression 3x2y when x=2 and y=4.

Choose instructor to watch:
Dr. Cavanah
Dr. Cavanah
Julieta
Julieta
Julieta espanol spanish
Julieta
Problem  8
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Find the value of the expression x22xy+y2 when x is 3 and y is 4.

Choose instructor to watch:
Arielle cc
Arielle
Molly M. cc
Molly M.
CJ cc
CJ
David espanol spanish
David
Problem  9

Translate each word phrase into an algebraic expression.

  1. seven added to three times a number x

  2. the product of 4x and y

  3. four less than twice x

Choose instructor to watch:
Julieta
Julieta
Julieta espanol spanish
Julieta
Problem  10

Mini Lecture
Solve.

  1. x+2=6

  2. 59=x25

  3. 4x+23x=4+1

  4. 4y3(y6)+2=8

  5. 8a=7a5

Choose instructor to watch:
Mr. McKeague cc
Mr. McKeague

6
Linear Equations in One Variable

Problem  1
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Solve: 3(x+2)=9

Choose instructor to watch:
Mr. McKeague cc
Mr. McKeague
Julieta cc
Julieta
Julieta cc espanol spanish
Julieta
Problem  2
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Solve: 4a+5=2a7

Choose instructor to watch:
Mr. McKeague cc
Mr. McKeague
Katrina cc
Katrina
Julieta cc
Julieta
David cc espanol spanish
David
Problem  3
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Solve: 2(x4)+5=11

Choose instructor to watch:
Mr. McKeague cc
Mr. McKeague
Logan cc
Logan
Arielle cc
Arielle
David cc
David
Problem  4
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Solve: 5(2x4)+3=4x5

Choose instructor to watch:
Mr. McKeague cc
Mr. McKeague
Julieta cc
Julieta
Arielle cc
Arielle
David cc espanol spanish
David
Problem  5
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Solve: x2+x6=8

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Mr. McKeague cc
Mr. McKeague
Matt cc
Matt
Arielle cc
Arielle
David cc espanol spanish
David
Problem  6
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Solve: 2x+12=34

Choose instructor to watch:
Mr. McKeague cc
Mr. McKeague
Anthony cc
Anthony
Arielle cc
Arielle
David cc espanol spanish
David
Problem  7
practice icon

Solve: 3x+2=12

Choose instructor to watch:
Mr. McKeague cc
Mr. McKeague
Katrina cc
Katrina
Matt cc
Matt
David cc espanol spanish
David
Problem  8
practice icon

Mini Lecture
Solve.

  1. 6(x3)=6

  2. 7y3=4y15

  3. 2(3x6)+1=7

  4. 9x6=3(x+2)24

  5. x5x=4

  6. 1x12=14

Choose instructor to watch:
Mr. McKeague cc
Mr. McKeague

7
Evaluating Formulas

Problem  1
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Find the area and perimeter of a square with a side 6 inches long.

Choose instructor to watch:
Mr. McKeague cc
Mr. McKeague
Julieta cc
Julieta
Mrs. Mooney cc
Mrs. Mooney
Anthony cc espanol spanish
Anthony
Problem  2
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The perimieter P of a rectangular livestock pen is 40 feet. If the width w is 6 feet, find the length.

Choose instructor to watch:
Mr. McKeague cc
Mr. McKeague
Julieta cc
Julieta
Aaron cc
Aaron
Julieta cc espanol spanish
Julieta
Problem  3
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Use the formula C=5(F32)9 to find C when F is 95 degrees.

Choose instructor to watch:
Mr. McKeague cc
Mr. McKeague
Winston cc
Winston
Octabio cc espanol spanish
Octabio
Problem  4
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Use the formula y=2x+6 to find y when x is 2

Choose instructor to watch:
Mr. McKeague cc
Mr. McKeague
Lauren cc
Lauren
Aaron cc
Aaron
Julieta cc espanol spanish
Julieta
Problem  5
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Find y when x is 3 in the formula 2x+3y=4

Choose instructor to watch:
Mr. McKeague cc
Mr. McKeague
Aaron cc
Aaron
David espanol spanish
David
Problem  6
practice icon

At 1 P.M. Jordan leaves her house and drives an average speed of 50 miles per hour to her sister’s house. She arrives at 4 P.M.

  1. How many hours was the drive to her sister’s house?

  2. How many miles from her sister does Jordan live?

Choose instructor to watch:
Dr. Cavanah cc
Dr. Cavanah
Katrina cc
Katrina
Aaron cc
Aaron
Julieta cc espanol spanish
Julieta
Problem  7
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Find the complement and supplement of 25

Choose instructor to watch:
Arielle cc
Arielle
Aaron cc
Aaron
David espanol spanish
David
Problem  8

Mini Lecture
Let G=HR and find G, if

  1. H=36 hours and R=$8 per hour.

  2. H=20 hours and R=$634 per hour.

If C=59(F32), find C if

  1. F=158

  2. F=32

If A=πr2, find A if π=227 and

  1. r=7 feet

  2. r=34 feet

Choose instructor to watch:
Mr. McKeague cc
Mr. McKeague

8
Test & Summary

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