asmt 31: due weds 10 4 17mrscstearns.weebly.com/uploads/1/0/9/2/109218801/alg_1... ·...

Alg 1— Oct 2017

1

Please do NOT use a calculator unless problem is marked with an asterisk. (*)

ASMT 31: due Weds 10–4–17

TEST 3 on Friday

review Les 3.6 – 3.7

Exc 3.7 (p. 179) # *3,

*5,

*7,

*11,

*13,

*17,

*25 –

*27

(all), & 33

* you may use calculator for all of these, but you must SHOW WORK

* start with PERCENT equation (general formula)

* then SUBSTITUTE numerical values & solve

* remember to convert decimal to percent when solving for p%

* for # 33, SHOW word problem solving steps (List Info, Plan, & Solve)

»» remember to DEFINE variables, include GENERAL formula, WRITE equation, &

then SOLVE

chk/correct work (10 problems)

SHOW work for all problems, including calculator-permitted ones!

Alg 1— Oct 2017

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TEST 3 on Friday

review Les 3.7

review Les 3.8 pp. 184 – 186 and work through Exs/some GP; focus on Exs 2 – 4

Exc 3.7 (p. 179) # *8,

*10, 34,

*39

* for # 34 & 39, SHOW word problem solving steps (List Info, Plan, & Solve)


then SOLVE

Exc 3.8 (p. 187) # 11 – 21, 26

* SHOW inverse operations when rewriting equation


Alg 1— Oct 2017

3

NOTE: You may now use calculators for all work; however, you must show complete solution steps

to receive full credit.

ASMT 33: due Mon 10–9–17

study Ch 3 for TEST 3 on Friday

read Ch Summary p. 191

QUIZ Les 3.7 – 3.8 (p. 189) # 5 – 7

* SHOW inverse operations when rewriting equation

Ch 3 Rev (p. 192) # 26, 37, 43, 44, 51, 54, 55

* start with GENERAL FORMULA for percent problems

* SHOW application of CROSS-PRODUCTS

* include CHECKS for # 26 & 43 only



then SOLVE


SHOW problem-solving steps (p. 28 or Class Notes) for ALL word problems

* List Info, Plan, & Solve

Alg 1— Oct 2017

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study Ch 3 for TEST 3 (tomorrow)

Ch 3 Rev (p. 193) # 22, 24, 27, 29, 33, 35, 50, 52, 57, 59, 60

* SHOW solution CHECKs only for # 22 & 27 (to the RIGHT of your problem)

»» SHOW simplification steps for your checks


»» DEFINE variable, include GENERAL formula, WRITE equation, & then SOLVE

* for # 59 & 60, SHOW inverse operations when rewriting equations

Ch 3 Test (p. 197) # 8, 13, 18; 24 – 30 even; 33, 36, 37

* SHOW solution CHECKs only for # 18 & 24 (to the RIGHT of your problem)

»» SHOW simplification steps for your checks

* SHOW inverse operations when rewriting equations




Alg 1— Oct 2017

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final study Ch 3

take TEST 3

* test must be proctored by a parent

* you may use a calculator, but you will only receive full credit if you show COMPLETE

solution steps!)

* NO outside resources allowed excerpt for a calculator: students must take the

test without any assistance

Parents SEAL the envelope, SIGN on the envelope flap, and send in with you

read (only) Les 4.1 pp. 204 – 208

** As per COURSE GUIDELINES: **

Late tests will NOT be accepted. Unsigned tests will receive a twenty point

deduction & will be returned for a signature.

Alg 1— Oct 2017

6

Note: You may now use calculators for all work ... but shows steps of solutions.


go back & read Les 1.7 pp. 43 – 45

reread Les 4.1 pp. 204 – 208 and work through Exs & some GP

* key concepts: quadrants, ordered pair, origin

Exc 4.1 (p. 209)

# 16 – 20 (all) (all points on one coord plane; just list quadrant

number or axis for description);

# 24, 26 (graphs will consist of points only, NOT lines— see Ex 3 p. 207);

# 30, 32 (just list QUADRANT);

# 37


use a RULER for all line graphs in order to receive full credit!

GO BACK & make sure you LABELED axes, scales, & points (ordered pairs)

for ALL graphs

Alg 1— Oct 2017

7

Note: You may now use calculators for all work ... but shows steps of solutions.


review Les 4.1

Exc 4.1 (p. 209) # 25 & 27 (graphs will consist of points only, NOT lines—

see EX 3 p. 207);

# 36def, 49, 52

* for # 49, SHOW word problem solving steps


read Les 4.2 pp. 215 – 218 and work through Exs & some GP

* key concepts: standard form of linear equation (p. 216); equations of horizontal

& vertical lines (p. 217 top)

Exc 4.2 (p. 219) # 6, 8, 12, 14, 20, 22, 47

* for # 6 & 8, SHOW substitution of value, then simplify & draw conclusion

* include TABLE as part of your solution for graphs

* graph each line on a SEPARATE coordinate plane

read Les 4.3 pp. 225 – 228 and work through Exs & some GP

* key concepts: x-intercept, y-intercept



GO BACK & make sure you LABELED axes, scales, & points, & lines (with their

equations)

Alg 1— Oct 2017

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Prereq Skills (p. 204) (the problems listed below are to be turned in)

# 5, 6 (each graph will consist of points NOT a line— see Les 4.1 EX 3 p. 207);

# 9 (SHOW inverse operations to rewrite equations)

Exc 4.2 (p. 219) # 13, 21, 26

* include TABLE as part of your solution for graphs

* graph each line on a SEPARATE coordinate plane

* for # 26, graph has restricted domain—see EX 4 p. 217

read (only) Extension “Identify Discrete ... “ pp. 223 – 224

Exc 4.3 (p. 229) # 4, 5, 28 (for # 4 & 5, follow Ex 1 p. 225)

* SHOW substitutions when finding intercepts (follow pattern of EX 1 p. 225)

* express intercepts using ordered pair notation (see p. 921): (x, 0) and (0, y)



GO BACK & make sure you LABELED axes, scales, & points, & lines (with their

equations)

Alg 1— Oct 2017

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Note: You may now use calculators ... but show work.


study Les 4.1 – 4.3 for QUIZ 5 on Monday

Exc 4.2 (p. 219) # 7, 18, 27, 28

* for # 27 & 28 have restricted domains—see EX 4 p. 217

Exc 4.3 (p. 229) # 8, 10, 12; 19 – 25 odd; 32, 38 – 40, 56

* SHOW substitutions when finding intercepts


* for # 19 – 25, graph using intercepts NOT a table (see EX 2 p. 226)

* LABEL intercepts on graph (as ordered pairs)


GO BACK & make sure you LABELED axes, scales, & lines (with their equations)


Alg 1— Oct 2017

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read Les 4.4 pp. 235 – 238 & work through Exs

* key concepts: slope formula; positive, negative, zero, and undefined slopes

Exc 4.2 (p. 219) # 29 – 31

* for # 29 – 31 have restricted domains—see EX 4 p. 217

* use a TABLE to graph Les 4.2 problems (see EX 2 or 4 pp. 216, 217)

Exc 4.3 (p. 229) # 9, 11, 13, 16, 18, 22

* SHOW substitutions when finding intercepts


* for # 16, 18 & 22, graph using intercepts NOT a table (see EX 2 p. 226)

QUIZ Les 4.1 – 4.3 (p. 232) # 4 – 6

Exc 4.4 (p. 239) # 49, 60, 62


GO BACK & make sure you LABELED axes, scales, & lines (with their equations)

Alg 1— Oct 2017

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GP 4.4 (p. 236) # 1, 2, 4, 5, 7

* for # 7, include the general formula for DISTANCE

Exc 4.4 (p. 239) # 11 – 13


for SLOPE problems, make sure you:

* include GENERAL FORMULA for SLOPE,

* SHOW substitutions of x-values/y-values when calculating slope,

* then simplify expression—follow pattern of EX 1 p. 235

Alg 1— Oct 2017

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review Les 4.4

Exc 4.2 (p. 219) # 36, 38

* for # 36, follow process (steps) of EXs 5-6 (p. 216): your line segment will have a NEG slope

» consider a scale of 25 units for y-axis (distance d)

* for # 38, you do NOT need to graph or explain but DO show work (SUBSTITUTIONS of

numerical values & simplifications)

* use a TABLE to graph Les 4.2 problems (see EX 2 or 4 pp. 216, 217)

Exc 4.4 (p. 239) # 5, 6, 15, 19, 20, 21, 23, 25

* for # 19 & 20, rate of change is basically slope (see EX 5 p. 237)

»» SHOW work and don’t forget to EXPLAIN meaning

* remember to express intercepts using ordered pair notation: (x, 0) and (0, y)


* key concepts: slope-intercept form; parallel lines (have same slope)

Exc 4.5 (Mixed Rev p. 250) # 53, 54, 57


Alg 1— Oct 2017

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Exc 4.4 (p. 240) # 28, 29, 31

GP 4.5 (p. 244) # 1 – 3

* IDENTIFY/LIST slope as m = ? and y-intercept as ordered pair (0, y)

* start by REWRITING equation in slope-intercept form; SHOW inverse operations

Exc 4.5 (p. 247) # 4, 5, 11

* for # 11, make sure you first REWRITE equation in y = mx + b form (follow EX 1); SHOW work


express intercepts using ordered pair notation: (x, 0) and (0, y)

when graphing using slope-intercept method,

* make sure your equation is in y = mx + b form (slope-intercept form)

* then IDENTIFY and LIST slope & y-intercept as part of your solution:

m = ? and (0, y)

* graph the y-intercept, then use slope to find a second point; connect to form line

use a RULER for all line graphs

Alg 1— Oct 2017

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complete Test 3 CORRECTIONS; use SEPARATE sheet(s) of paper and

(1) SHOW all work

(2) parents CHECK your corrections; redo as needed to FULLY correct

(3) staple corrections to ORIGINAL test and turn in complete packet on Monday


Exc 4.2 (p. 219) # 35

* use a TABLE to graph this equation (see EXs 5-6 p. 218); label y-axis w and x-axis f

* you have a restricted domain (can’t have negative cups of flour [!] AND you have a max of

4 cups of flour, according to the problem)

* don’t forget to list domain (f) and range (w)

Exc 4.3 (p. 229) # 44, 45 (follow process [steps] of EX 4 p. 227)

* these ALL have restricted domains (see EX 4 p. 217), since negative numbers will not

work for the given situations

* graph using intercepts NOT a table (see EX 5 p. 228)

* for # 44, consider scale of 4 or 6 units for each axis

* for # 45, consider scale of 2 units for each axis

Exc 4.5 (p. 247) # 12 – 16, 19, 21 – 23, 30, 32

* for # 21- 23, follow EX 2 & review reminders in box above

* for # 30, follow EX 5—you MUST justify algebraically by identifying & comparing slopes

* for # 32, JUSTIFY algebraically & compare slopes

chk/correct work (14 problems) * also Test 3 CORRECTIONS




m = ? and (0, y)



Alg 1— Oct 2017

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Exc 4.3 (p. 229) # 47, 48

* these ALL have restricted domains (see EX 4 p. 217), since negative numbers will not work for the given

situations

* graph using intercepts NOT a table (see EX 5 p. 228)

* for # 47, consider a scale of 25 units for each axis; don’t forget to list domain/range

* you do NOT need to graph # 48; choose values for time & solve for corresponding distance values

* the solution KEY for # 48 shows incorrect UNITS: it should read “miles” NOT “minutes”

Exc 4.4 (p. 239) # 26, 27, 32

* start with the GENERAL FORMULA for slope; then substitute/solve

Exc 4.5 (p. 247) # 24, 26, 28, 31, 33 – 35

* for # 26 & 28, make sure you identify/list slope & y-intercept; use them to graph!

* for # 31 – 35, JUSTIFY algebraically: identify & compare slopes

QUIZ Les 4.4 – 4.5 (p. 250) # 3, 6, 8

Ch 4 Rev (p. 271) # 4 cd; 14

* for # 14, graph using intercepts (Les 4.3); express intercepts as ORDERED PAIRS: (x, 0) and (0, y)


* key concepts: formula for direct variation; constant of variation

chk/correct work (17 problems); * Test 3 CORRECTIONS also due Monday *




m = ? and (0, y)



Alg 1— Oct 2017

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review Les 4.6

GP 4.6 (p. 253) # 1 – 3, 5 (see EX 2 - 3 p. 254)

* you do NOT need to graph # 5; just WRITE equation and solve for y-value when x = 24

Exc 4.6 (p. 256) # 5, 7, 13, 25

* for # 13, graphing a direct variation using slope-intercept method

»» y-intercept will be (0, 0), since you have a direct variation!

»» make sure you LABELED axes, scales, key points & lines (with their equations)


Alg 1— Oct 2017

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review Les 4.6

Exc 4.6 (p. 256) # 8, 19, 21, 24, 26; 27 – 37 odd; 51

* for # 26 & 27, see EX 5 p. 256

* for # 29 – 37, see EX 3 p. 254

* show substitution of x-/y-values into direct variation equation: y = ax

* simplify to find the constant a

* then use a to write the specific direct variation equation that represents

the given values

read Les 4.7 pp. 262 – 265 and work through Exs & some of GP

* key concept: function notation


Check graphs: LABEL axes, scales, key points & lines (with their equations)




m = ? and (0, y)



Alg 1— Oct 2017

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study Ch 4 for TEST on Tuesday

Exc 4.6 (p. 257) # 30 – 36 even; 48 – 50

* for # 30 – 36, see EX 3 p. 254

* show substitution of x-/y-values into direct variation equation: y = ax

* simplify to find the constant a

* then use a to write the specific direct variation equation that represents

the given values

Exc 4.7 (p. 265) # 3 – 5 (see EX 1 p. 262)


Check graphs: LABEL axes, scales, key points & lines (with their equations)

Alg 1— Oct 2017

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Exc 4.5 (p. 247) # 40 (see EX 4 p. 246 for help)

* make sure you identify/list slope & y-intercept; use them to graph!

Exc 4.6 (p. 256) # 41, 43 (see EXs 4-5 p. 255, 256)

* for # 41, SHOW word problem solving steps (List Info, Plan, & Solve)

»» your PLAN will be the general formula for direct variation

Exc 4.7 (p. 265) # 7, 9, 11, 17, 19, 25

* for # 7 – 11, substitute each given x-value & simplify to find f(x)

* for # 17 & 19, substitute given f(x) value & solve for x

* for # 25, don’t forget to graph and COMPARE your graph to graph of f(x) = x

(see EX 4 p. 264)

QUIZ Les 4.6 – 4.7 (p. 268) # 2, 3, 6

* for # 2 & 3, follow EX 3 p. 254

Mixed Rev Les 4.4 – 4.7 (p. 269) # 1, 2

* for # 1, show work & fully label graph; you’ll have a restricted domain, since

amount of water won’t be negative

* for # 2, do NOT graph; hint: you are given the constant of variation (see Les 4.6)

read Ch Summary p. 270

Ch. 4 Rev (p. 271) # 8, 12

* for # 8, use TABLE

* for # 12, use intercepts to graph; SHOW work & label intercept points on graph


Alg 1— Oct 2017

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Extension Les 4.2 (p. 224) # 5 (graph function; do NOT classify)

* graph using table OR slope-intercept; fully LABEL graph

* see Les 4.2 EX 4 p. 217— restricted domain function

Exc 4.6 (p. 259) # 44

* see Les 4.6 EX 5 p. 256 for help

Exc 4.7 (p. 265) # 10, 16, 18, 29, 31, 59

* SHOW substitution of values (& simplification) when evaluating functions (see EX 1 – 2 p. 262)

* for # 29 & 31, don’t forget to graph and COMPARE your graphs to graph of f(x) = x

(see EX 4 p. 264)

Ch 4 Rev (p. 272) # 10, 13, 16, 17, 20, 22, 29, 30

* for # 13, use intercepts to graph; SHOW work and label them on graph

* for # 20, use slope-intercept to graph; LIST slope & y-intercept


Check graphs: did you LABEL axes, scales, key points & lines (with their equations)

Alg 1— Oct 2017

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study Ch 4 for TEST – tomorrow

GP 4.2 (p. 217) # 5

* graph using table OR slope-intercept; fully LABEL graph

Exc 4.7 (p. 266) # 20

Ch 4 Rev (p. 274) # 23, 26, 28

* for # 28, include the GENERAL FORMULA for direct variation equation

(see EX 4 p. 255 for help)

Ch 4 Test (p. 275) # 8, 9, 12 – 14, 16, 18, 20


Alg 1— Oct 2017

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take TEST 4

* use a RULER and remember to fully label graphs!

* test must be proctored by a parent

* NO outside resources allowed (except for a calculator & ruler):

» students must take the test without any assistance

Parents SEAL the envelope, SIGN on the envelope flap, and send in with you

Les 5.1 pp. 280 – 281, 283 – 286 & work through Exs

** As per COURSE GUIDELINES: **

Late tests will NOT be accepted. Unsigned tests will receive a twenty point

deduction & will be returned for a signature.

Alg 1— Oct 2017

23


GP 5.1 (p. 284) # 5, 6

* for # 6, SHOW word problem-solving steps: List info, Plan, & Solve

Exc 5.1 (p. 286) # 5, 13, 20, 24, 26, 28

* Note: variable b (from the general formula y = mx + b) is the y-value of the y-intercept


Alg 1— Oct 2017

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review Les 5.1

Exc 5.1 (p. 286) # 8, 10, 21, 25, 27, 33 – 35, 37, 45 – 47, 48ab

* for # 45 – 47, SHOW word problem-solving steps (List info, Plan, & Solve)

* Note: identify the RATE for the word problems—this will, in general, be the slope

for equation in form y = mx + b (see EX 5 p. 285 for help)

Les 5.2 pp. 292 – 295 and work through Exs & some GP

Exc 5.2 (p. 296) # 4 – 8

* follow EX 1 p. 292

* SHOW work!


Alg 1— Oct 2017

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– 5.2

GP 5.2 (p. 292) # 1 – 3

Exc 5.2 (p. 296) # 11, 13 – 16, 19, 21 – 27, 30 – 33

* for # 11 – 22, follow EX 2 p. 293

* for # 23 – 27, follow EX 3 p. 293

* SHOW work!


SHOW word problem-solving steps (List info, Plan, & Solve) for ALL word problems

Alg 1— Oct 2017

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KEY: Daily assignment = ASMT

Examples = Exs

Guided Practice = GP

Exercise = Exc

Check = Chk

Correct = Cor

Practice = Prac

Review = Rev

* (above a number) = you may use a calculator for that problem

only

(until about the end of the first quarter, at which

time you will be allowed to use for all assignments)

chk/correct work = have your parents check your work and then YOU

correct it

*** Remember to show COMPLETE solution steps/work ***

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