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# Review for Math 025 Final Exam

Multiple Choice questions
1) Add or subtract numerical fractions, use LCD, write answer in lowest terms
Worksheets book , sec 1.1, objective 4, pg 4
Sec 1.1 pg 12 #55-66 Ch 1 Test pg 93 #2 (prepare for bigger denominators)

2) Simplify an expression using the order of operations
Worksheets book, sec 1.2, objective 2-3 pg 8, objective 5 pg 26-27
Sec 1.2 pg 22 #35-50 Ch 1 Review pg 88 #9-12 Ch 1 Test pg 93 #13-16

3) Simplify an expression by finding the sum and/or difference of integers
Worksheets book, sec 1.5, objective 4, pg 23 #22
Sec 1.5 pg 49 #17-26, #50-58 & #65-72
Ch1 Review pg 90 #56-66 Ch 1 Test pg 93 #10, 12

4) Simplify an expression by removing parentheses and combining like terms Worksheets book, sec 1.8, objective 4 pg 35
Sec 1.8 pg 81 #65-76 Ch 1 Review pg 92 #123-126 Ch 1 Test pg 94 #32

5) Solve an equation by clearing fractions first
Worksheets book, sec 2.3, objective 2 pg 47 #10 & 13
Sec 2.3 pg 115 #25-28 & #39-40

6) Solve a given formula for an indicated variable
Worksheets book sec 2.5, objective 1 pg 57-8
Sec 2.5 pg 141 #63-86 Ch 2 Review pg 184 #29-30

7) Solve an equation by clearing fractions first (or using cross-products)
Worksheets book, sec 2.6, objective 2 pg 65 #18
Sec 2.5 pg 147 #37-42 Ch 2 Review pg 185 #42 Ch 2 Test pg 188 #12

8) Solve an inequality (simple inequality, not a compound inequality )
Worsheets book, sec 2.8, objective 2-4 pg 76-78
Sec 2.8 pg 175 #41-54 Ch 2 Review pg 186 #59-63 Ch 2 Test pg 189 #17

9) For a given linear equation , fill in the ordered pairs & choose the graph of the equation
Worksheets book, sec 3.2, objective 1 pg 88-90, objective 3 pg 91-94
Sec 3.2 pg 215 #33-56 Ch 3 Review pg 248 #2-5 combined with #14-15
Ch 3 Test pg 251 #1 combined with #4-7

Multiple Choice questions continued
10) Find the slope of the line containing two given points
Worksheets book, sec 3.3, objective 1 pg 98
Sec 3.3 pg 229 #26-35 Ch 3 Review pg 248 #17-18 Ch 3 Test pg 251 #9

11) Write the slope-intercept equation for the line containing two given points
Worksheets book, sec 3.4, objective 4 pg 105-106
Sec 3.4 pg 241 #46-52 Ch 3 Review pg 249 #29 Ch 3 Test pg 251 #16

12) Simplify an expression using the power rules
Worksheets book, sec 4.1, objective 6, pg 112-113
Worksheets book, sec 4.2, objective 1-2, pg 115-116
Worksheets book, sec 4.4, objective 4, pg 117-118
Summary exercises on simplifying exponents pg 272 #1-42
Ch 4 Review pg 319 #1-12 & #17-28 Ch 4 Test pg 323 #1-6

13) Simplify a multiplication of two binomials (3 problems)
Worksheets book, sec 4.5, objective 1-3 pg 129-132
Worksheets book, sec 4.6, objective 1-2 pg 133-135
Sec 4.5 FOIL method pg 298 #37-53 Sec 4.6 Square of binomial pg 303 #3-14
Sec 4.6 (Sum)(Difference) pg 303-304 #24-34
Ch 4 Review pg 321 #55-61 & #63-66 Ch 4 Test pg 324 #17-20

14) Factor an expression using the Greatest Common Factor
Worksheets book, sec 5.1, objective 2 pg 145
Sec 5.1 pg 335 #35-54 Ch 5 Review pg 385 #1-4 Ch 5 Test pg 389 #2-4

15) Factor a trinomial with a leading coefficient of ONE
Worksheets book, sec 5.2, objective 1-2 pg 148-149
Sec 5.2 pg 341 #23-40 & #43-50
Ch 5 Review pg 385 #5-10 Ch 5 Test pg 389 #5 & 8

16) Solve an equation, involving a quadratic, by factoring and using the
zero-factor property
Worksheets book, sec 5.3, objective 1 pg 151 practice factoring with non-1 lead coeff.
Worksheets book, sec 5.5, objective 1 pg 159-160
Sec 5.5 pg 367 #39-44 & #57-60
Ch 5 Review pg 386 #49-50 Ch 5 Test pg 390 #21-22

Multiple Choice questions continued
17) Choose the correct diagram and variables to model a given application
Worksheets book, sec 5.6, objective 1 pg 163-165 & objective 3 pg 166-167
Ch 5 Review pg 387 #57-60 & 62 Ch 5 Test pg 390 #25-27

18) List the numbers for which a given rational expression is undefined
(list the values that make the denominator zero )
Worksheets book, sec 6.1, objective 2 pg 170
Sec 6.1 pg 401 #13-24 Ch 6 Review pg 459 #3-5 Ch 5 Test pg 463 #2

19) Simplify a product or quotient of two rational expressions
Worksheets book, sec 6.2, objective 1-2 pg 173-177
Sec 6.2 pg 409 #29-56 Ch 6 Review pg 460 #15-20 Ch 6 Test pg 463 #6-8

20) Simplify an addition or subtraction of two rational expressions
Worksheets book, sec 6.4, objective 2 pg 184-185, objective 3 pg 185-186 #22-30
Sec 6.4 pg 423 #35-46 Ch 6 Review pg 460 #32-36 Ch 6 Test pg 463 #14 & 16

21) Solve equations involving rational expressions
Worksheets book, sec 6.6, objective 1-2 pg 193-195
Sec 6.6 pg 440-441 #23-33 & #43-70
Ch 6 Review pg 461 #44-46 Ch 6 Test pg 463 #19

Completion questions
22) Rewrite a number as a product of its prime factors (168 = )
Worksheets book, sec 1.1, objective 1, pg 2
Sec 1.1 pg 11 #11-22

23) Rewrite a fraction in lowest terms
Worksheets book, sec 1.1, objective 2, pg 3
Sec 1.1 pg 11 #26-30 Ch 1 Test pg 93 #1

24) Find the quotient and write in lowest terms
Worksheets book, sec 1.1, objective 3, pg 4
Sec 1.1 pg 11 #43-48 Ch 1 Review pg 88 #1 Ch 1 Test pg 93 #3

Completion questions continued
25) Name all the sets, from natural numbers, whole numbers, integers, rational
numbers, irrational numbers, and reals, to which a given number belongs.
Worksheets book, sec 1.4, objective 1, pg 17
Sec 1.4 related questions pg 39 #9-14, #15-18, #19-20
Ch 1 Review pg 90 #33-34 Ch 1 Test pg 93 #7

26) Simplify an expression with absolute values and opposites
Worksheets book, sec 1.4, objective 3, pg 19 #22
Sec 1.4 pg 39 #29 & #35-40 Ch 1 Review pg 90 #47-50

27) Translate a word phrase or statement to an algebraic expression or equation
Worksheets book, sec 1.8, pg 36
Sec 1.8 pg 82 #77-82 Ch 1 Review pg 92 #127-128 Ch 1 Test pg 93 #9

28) Show how to solve an equation
Worksheets book, sec 2.3, objective 1 pg 46 #5-9, objective 3 pg 48-49 #19-20
Sec 2.1 pg 101 #61-62 & #65-66 & Sec 2.3 pg 115-116 #13-14 & #35-38 & #43-46
Ch 2 Review pg 184 #13-14 & #17-18 Ch 2 Test pg 188 #3 & 5

29) Set-up the variable expressions and equation for a word problem .
Then solve the problem. .
Worksheets book, sec 2.4, objective 3-4 pg 53-55
Sec 2.4 pg 126-129 #11-34 Ch 2 Review pg 184 #19-24 Ch 2 Test pg 188 #6-8

30) Set up ONLY for a word problem with percents (money or mixture), price each or
motion. Do NOT solve.
Worksheets book, sec 2.7, objective 2-5, pg 70-74
Sec 2.7 pg 158-162 #15-24 & #25-28 & #29-34 & #45-53
Ch 2 Review pg 186 #49-54 Ch 2 Test pg 189 #15-16

31) Use the slope and y-intercept to graph a line given the equation of that line
Worksheets book, sec 3.2, objective 3-4 pg 91-94.
Practice using slope-intercept form
Sec 3.4 pg 240 #17-24 Ch 3 Test pg 251 #4-8 (ignore intercepts question)

Completion questions continued

32) Simplify the sum or difference of two polynomials
Worksheets book, sec 4.4, objective 5 pg 126-127
Sec 4.4 pg 290 #49-50 & #59-60 & #63-64
Ch 4 Review pg 320 #48-49 Ch 4 Test pg 323 #14

33) Completely factor any polynomial
Worksheets book, sec 5.4, objective 1-4 pg 155-158
Summary exercises in factoring pg 359 #1-80
Ch 5 Review pg 386 #31-42 Ch 5 Test pg 389 #2-19

34) Rewrite rational expression in lowest terms
Worksheets book, sec 6.1, objective 3 pg 171
Sec 6.1 pg 401-402 #29-52 Ch 6 Review pg 460 #7-10 Ch 6 Test pg 463 #5

35) Solve equations involving rational expressions
Worksheets book, sec 6.6, objective 1-2 pg 193-195
Sec 6.6 pg 440-441 #23-33 & #43-70
Ch 6 Review pg 461 #44-46 Ch 6 Test pg 463 #19

Matching section – 3 parts
36) Match a list of properties to a list of equations demonstrating the use of the
properties.
Worksheets book, sec 1.7, mix of all objectives pg 29-31
Sec 1.7 pg 74 #11-30 Ch1 Review pg 91 #107-114 Ch 1 Test pg 94 #24-28

37) Match a group of graphs of straight lines to the correct linear equations
Worksheets book, sec 3.2, objective 3-4 pg 91-94, given the graphs match equa.
Sec 3.4 pg 239 #5
On pg 233-234 look at examples 2-4, consider a list of those equations separate
from those graphs, match the equations to the graphs

# math final exam

Multiple Choice questions

1) Add or subtract numerical fractions, use LCD, write answer in lowest terms
Worksheets book , sec 1.1, objective 4, pg 4
Sec 1.1 pg 12 #55-66 Ch 1 Test pg 93 #2 (prepare for bigger denominators)

2) Simplify an expression using the order of operations
Worksheets book, sec 1.2, objective 2-3 pg 8, objective 5 pg 26-27
Sec 1.2 pg 22 #35-50 Ch 1 Review pg 88 #9-12 Ch 1 Test pg 93 #13-16

3) Simplify an expression by finding the sum and/or difference of integers
Worksheets book, sec 1.5, objective 4, pg 23 #22
Sec 1.5 pg 49 #17-26, #50-58 & #65-72
Ch1 Review pg 90 #56-66 Ch 1 Test pg 93 #10, 12

4) Simplify an expression by removing parentheses and combining like terms
Worksheets book, sec 1.8, objective 4 pg 35
Sec 1.8 pg 81 #65-76 Ch 1 Review pg 92 #123-126 Ch 1 Test pg 94 #32

5) Solve an equation by clearing fractions first
Worksheets book, sec 2.3, objective 2 pg 47 #10 & 13
Sec 2.3 pg 115 #25-28 & #39-40

6) Solve a given formula for an indicated variable
Worksheets book sec 2.5, objective 1 pg 57-8
Sec 2.5 pg 141 #63-86 Ch 2 Review pg 184 #29-30

7) Solve an equation by clearing fractions first (or using cross-products)
Worksheets book, sec 2.6, objective 2 pg 65 #18
Sec 2.5 pg 147 #37-42 Ch 2 Review pg 185 #42 Ch 2 Test pg 188 #12

8) Solve an inequality (simple inequality, not a compound inequality)
Worsheets book, sec 2.8, objective 2-4 pg 76-78
Sec 2.8 pg 175 #41-54 Ch 2 Review pg 186 #59-63 Ch 2 Test pg 189 #17

9) For a given linear equation , fill in the ordered pairs & choose the graph of the equation
Worksheets book, sec 3.2, objective 1 pg 88-90, objective 3 pg 91-94
Sec 3.2 pg 215 #33-56 Ch 3 Review pg 248 #2-5 combined with #14-15
Ch 3 Test pg 251 #1 combined with #4-7

Multiple Choice questions continued

10) Find the slope of the line containing two given points
Worksheets book, sec 3.3, objective 1 pg 98
Sec 3.3 pg 229 #26-35 Ch 3 Review pg 248 #17-18 Ch 3 Test pg 251 #9

11) Write the slope-intercept equation for the line containing two given points
Worksheets book, sec 3.4, objective 4 pg 105-106
Sec 3.4 pg 241 #46-52 Ch 3 Review pg 249 #29 Ch 3 Test pg 251 #16

12) Simplify an expression using the power rules
Worksheets book, sec 4.1, objective 6, pg 112-113
Worksheets book, sec 4.2, objective 1-2, pg 115-116
Worksheets book, sec 4.4, objective 4, pg 117-118
Summary exercises on simplifying exponents pg 272 #1-42
Ch 4 Review pg 319 #1-12 & #17-28 Ch 4 Test pg 323 #1-6

13) Simplify a multiplication of two binomials (3 problems)
Worksheets book, sec 4.5, objective 1-3 pg 129-132
Worksheets book, sec 4.6, objective 1-2 pg 133-135
Sec 4.5 FOIL method pg 298 #37-53 Sec 4.6 Square of binomial pg 303 #3-14
Sec 4.6 (Sum)(Difference) pg 303-304 #24-34
Ch 4 Review pg 321 #55-61 & #63-66 Ch 4 Test pg 324 #17-20

14) Factor an expression using the Greatest Common Factor
Worksheets book, sec 5.1, objective 2 pg 145
Sec 5.1 pg 335 #35-54 Ch 5 Review pg 385 #1-4 Ch 5 Test pg 389 #2-4

15) Factor a trinomial with a leading coefficient of ONE
Worksheets book, sec 5.2, objective 1-2 pg 148-149
Sec 5.2 pg 341 #23-40 & #43-50
Ch 5 Review pg 385 #5-10 Ch 5 Test pg 389 #5 & 8

16) Solve an equation, involving a quadratic, by factoring and using the
zero-factor property
Worksheets book, sec 5.3, objective 1 pg 151 practice factoring with non-1 lead coeff.
Worksheets book, sec 5.5, objective 1 pg 159-160
Sec 5.5 pg 367 #39-44 & #57-60
Ch 5 Review pg 386 #49-50 Ch 5 Test pg 390 #21-22

Multiple Choice questions continued

17)Choose the correct diagram and variables to model a given application
Worksheets book, sec 5.6, objective 1 pg 163-165 & objective 3 pg 166-167
Ch 5 Review pg 387 #57-60 & 62 Ch 5 Test pg 390 #25-27

18) List the numbers for which a given rational expression is undefined
(list the values that make the denominator zero)
Worksheets book, sec 6.1, objective 2 pg 170
Sec 6.1 pg 401 #13-24 Ch 6 Review pg 459 #3-5 Ch 5 Test pg 463 #2

19) Simplify a product or quotient of two rational expressions
Worksheets book, sec 6.2, objective 1-2 pg 173-177
Sec 6.2 pg 409 #29-56 Ch 6 Review pg 460 #15-20 Ch 6 Test pg 463 #6-8

20) Simplify an addition or subtraction of two rational expressions
Worksheets book, sec 6.4, objective 2 pg 184-185, objective 3 pg 185-186 #22-30
Sec 6.4 pg 423 #35-46 Ch 6 Review pg 460 #32-36 Ch 6 Test pg 463 #14 & 16

21) Solve equations involving rational expressions
Worksheets book, sec 6.6, objective 1-2 pg 193-195
Sec 6.6 pg 440-441 #23-33 & #43-70
Ch 6 Review pg 461 #44-46 Ch 6 Test pg 463 #19

Completion questions

22) Rewrite a number as a product of its prime factors (168 = )
Worksheets book, sec 1.1, objective 1, pg 2
Sec 1.1 pg 11 #11-22

23) Rewrite a fraction in lowest terms
Worksheets book, sec 1.1, objective 2, pg 3
Sec 1.1 pg 11 #26-30 Ch 1 Test pg 93 #1

24) Find the quotient and write in lowest terms
Worksheets book, sec 1.1, objective 3, pg 4
Sec 1.1 pg 11 #43-48 Ch 1 Review pg 88 #1 Ch 1 Test pg 93 #3

NOTE: Your final exam may NOT be scheduled at the time your class has been meeting during the semester (see pg 17 in the schedule of classes). Check your final exam DAY & TIME and LOCATION in your weekly syllabus by clicking on Syllabus in your MyMathLab account .

Completion questions

25) Name all the sets, from natural numbers, whole numbers, integers, rational
numbers, irrational numbers, and reals, to which a given number belongs.
Worksheets book, sec 1.4, objective 1, pg 17
Sec 1.4 related questions pg 39 #9-14, #15-18, #19-20
Ch 1 Review pg 90 #33-34 Ch 1 Test pg 93 #7

26) Simplify an expression with absolute values and opposites
Worksheets book, sec 1.4, objective 3, pg 19 #22
Sec 1.4 pg 39 #29 & #35-40 Ch 1 Review pg 90 #47-50

27) Translate a word phrase or statement to an algebraic expression or equation
Worksheets book, sec 1.8, pg 36
Sec 1.8 pg 82 #77-82 Ch 1 Review pg 92 #127-128 Ch 1 Test pg 93 #9

28) Show how to solve an equation
Worksheets book, sec 2.3, objective 1 pg 46 #5-9, objective 3 pg 48-49 #19-20
Sec 2.1 pg 101 #61-62 & #65-66 & Sec 2.3 pg 115-116 #13-14 & #35-38 & #43-46
Ch 2 Review pg 184 #13-14 & #17-18 Ch 2 Test pg 188 #3 & 5

29) Set-up the variable expressions and equation for a word problem .
Then solve the problem. .
Worksheets book, sec 2.4, objective 3-4 pg 53-55
Sec 2.4 pg 126-129 #11-34 Ch 2 Review pg 184 #19-24 Ch 2 Test pg 188 #6-8

30) Set up ONLY for a word problem with percents (money or mixture), price each or
motion. Do NOT solve.
Worksheets book, sec 2.7, objective 2-5, pg 70-74
Sec 2.7 pg 158-162 #15-24 & #25-28 & #29-34 & #45-53
Ch 2 Review pg 186 #49-54 Ch 2 Test pg 189 #15-16

31) Use the slope and y-intercept to graph a line given the equation of that line
Worksheets book, sec 3.2, objective 3-4 pg 91-94.
Practice using slope-intercept form
Sec 3.4 pg 240 #17-24 Ch 3 Test pg 251 #4-8 (ignore intercepts question)

Completion questions continued

32) Simplify the sum or difference of two polynomials
Worksheets book, sec 4.4, objective 5 pg 126-127
Sec 4.4 pg 290 #49-50 & #59-60 & #63-64
Ch 4 Review pg 320 #48-49 Ch 4 Test pg 323 #14

33) Completely factor any polynomial
Worksheets book, sec 5.4, objective 1-4 pg 155-158
Summary exercises in factoring pg 359 #1-80
Ch 5 Review pg 386 #31-42 Ch 5 Test pg 389 #2-19

34) Rewrite rational expression in lowest terms
Worksheets book, sec 6.1, objective 3 pg 171
Sec 6.1 pg 401-402 #29-52 Ch 6 Review pg 460 #7-10 Ch 6 Test pg 463 #5

35) Solve equations involving rational expressions
Worksheets book, sec 6.6, objective 1-2 pg 193-195
Sec 6.6 pg 440-441 #23-33 & #43-70
Ch 6 Review pg 461 #44-46 Ch 6 Test pg 463 #19

Matching section – 3 parts

36) Match a list of properties to a list of equations demonstrating the use of the
properties.
Worksheets book, sec 1.7, mix of all objectives pg 29-31
Sec 1.7 pg 74 #11-30 Ch1 Review pg 91 #107-114 Ch 1 Test pg 94 #24-28

37) Match a group of graphs of straight lines to the correct linear equations
Worksheets book, sec 3.2, objective 3-4 pg 91-94, given the graphs match equa.
Sec 3.4 pg 239 #5
On pg 233-234 look at examples 2-4, consider a list of those equations separate
from those graphs, match the equations to the graphs

# MATH 4 PREREQUISITE SKILLS

WHOLE NUMBERS
1. Write a whole number in words.
2. Given its word name, write a whole number.
3. Write a whole number in expanded notation.
4. Specify the order relationship between two whole numbers using inequality symbols .
5. Add, subtract, multiply and divide whole numbers.
6. Round a whole number with any given accuracy.
7. Write multiplication with exponential notation .
8. Perform order of operations on whole number computation.
9. Find the least common multiple of a set of whole numbers.
10. Factor a whole number into prime factors.
11. Find the greatest common factor of a set of whole numbers.
12. List all factors of a whole number .

FRACTIONS
1. Identify the numerator and denominator of a fraction .
2. Simplify fractions by reducing to lowest terms.
3. Multiple and divide fractions.
4. Add and subtract fractions with like denominators .
5. Find the lowest common denominator of two fractions.
6. Given a fraction, write an equivalent fraction with a different denominator .
7. Add and subtract fractions with unlike denominators .
8. Convert mixed numbers to improper fractions.
9. Convert improper fractions to mixed numbers.
10. Add, subtract, multiply, divide mixed numbers.

DECIMALS
1. Identify the place value of a digit in a decimal number.
2. Round a decimal number with any given accuracy.
3. Add, subtract, multiply and divide decimal numbers.
4. Convert a fraction to an equivalent decimal.
5. Convert a decimal to an equivalent fraction .

PERCENTS
1. Change a percent to a fraction or decimal .
2. Change a decimal or fraction to a percent.
3. Solve a percent problem with the percent , base or amount unknown.

RATIO AND PROPORTIONS
1. Given a verbal statement, write an appropriate ratio.
2. Compute unit pricing from ratios.
3. Given a verbal statement, write an appropriate proportion.
4. Solve a simple proportion .

GEOMETRY
1. Find the perimeter of a square, rectangle, triangle, and parallelogram.
2. Find the circumference of a circle.
3. Find the area of a square, rectangle, triangle, parallelogram, and circle.
4. Interpret basic bar graphs and pie charts.

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