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1921 Absolute Value Inequalities Real World Problems.notebook April 14, 2014
LT 3: I can represent realworld situations with equations, inequalities, and absolute value.1) 2)
p.19
3) 4)
5) 6)
7) 8)
9) 10)
1921 Absolute Value Inequalities Real World Problems.notebook April 14, 2014
p.20PCWFor a scholarship competition, Eva had to write an essay. For the essay Eva had to write more than 250 words, but it couldn't exceed 500 words. Write an inequality that demonstrates Eva's situation, then graph it.
Mars has a maximum temperature of 7℃ at the equator and a minimum temperature of 133 ℃ at the winter pole. Write an inequality that describes the possible temperatures on Mars, then graph it.
At a carnival, the cost to play a bowling game is $2 p lus $0.25 for each attempt to knock over the pins. Which inequality would you use to find the number of attempts, a, you can make if you have $10?
A. 0.25a + 2 ≥ 10B. 0.25a + 2 ≤ 10C. 0.25a + 2 10
Tom earns $50 to start a painting job and $20 per hour to complete it. All jobs he accepts earn him at least $300. If h represents the number of hours spent painting, which inequality describes Tom's situation?
A. 50 + 20h > 300B. 50 + 20h ≥ 300C. 50 + 20h
1921 Absolute Value Inequalities Real World Problems.notebook April 14, 2014
p.21At the TX Design Company, the average starting salary for a new designer is $33,600, but the actual salary could differ from the average by as much as $1,560. Which inequality could be used to determine if a salary, x, falls within this range?
A. 4.01 x 0.0002
Caleb is a machinist at Golden Eagle Chopper Shop. To ensure the reliability of the motorcycle engines produced at the shop, Caleb machines each cylinder to a 4.01" diameter with a tolerance of 0.0002". Which inequality could be used to determine if a cylinder's diameter, x, is acceptable?
A. |x 1,560| ≤ 33,600
B. x 33,600 ≤ 1,560
C. |x 33,600| ≥ 1,560
D. |x 33,600| ≤ 1,560
An essay contest requires that essay entries consist of 500 words with an absolute deviation of at most 30 words. Write an absolute value inequality to represent this.
A candy manufacture puts 240 pieces of candy into each bag. The bag can be off by 8 pieces. Write an absolute value inequality that displays the acceptable amount of candy pieces that can be in a bag.
Which inequality is represented by this graph?
Which inequality has the solution represented by this graph?
7. 8.
9. 10.
11. 12.
1921 Absolute Value Inequalities Real World Problems.notebook April 14, 2014
IF
|2x| + 5 = 3 |3x| + 4 ≤ 34
Solve. Solve and graph.
Box 8 Checking: p.1718
1921 Absolute Value Inequalities Real World Problems.notebook April 14, 2014
1921 Absolute Value Inequalities Real World Problems.notebook April 14, 2014
1921 Absolute Value Inequalities Real World Problems.notebook April 14, 2014
13 2347 57
math math
810 810rocks rocks
1112 1112yes yesit it
1315 1415really really1618 1718truly truly1921 2021
Test is next Toosday
1921 Absolute Value Inequalities Real World Problems.notebook April 14, 2014
LT 3: I can represent realworld situations with equations, inequalities, and absolute value.1) 2)
p.19
3) 4)
5) 6)
7) 8)
9) 10)
1921 Absolute Value Inequalities Real World Problems.notebook April 14, 2014
Write an inequality that describes the graph below.
1.
A. B.
1921 Absolute Value Inequalities Real World Problems.notebook April 14, 2014
2. Write and graph an inequality that describes the situation.
Three or more people make a carpool.
No one under age 17 will be admitted without a parent or guardian.
A. B.
1921 Absolute Value Inequalities Real World Problems.notebook April 14, 2014
3. Keith has $500 in a savings account at the beginning of the summer. He wants to have at least $200 in the account by the end of the summer. He withdraws $25 each week for food, clothes, and movie tickets.
Write an inequality that represents Keith's situation.
A)
B) How many weeks can Keith withdraw money from his account?
1921 Absolute Value Inequalities Real World Problems.notebook April 14, 2014
4. Yellow Cab Taxi charges a $1.75 flat rate in addition to $0.65 per mile. Katie has no more than $10 to spend on a ride.
Write an inequality that represents Katie's situation. A)
B) How many miles can Katie travel without exceeding her limit?
1921 Absolute Value Inequalities Real World Problems.notebook April 14, 2014
5. Ezra received $50 from his grandparents for his birthday. He makes $7.50 each week for odd jobs he does around the neighborhood. Since his birthday, he has saved more than enough to buy the $120 gift he wants to buy for his parents' 20th wedding anniversary. Write an inequality that represents Ezra's situation. A)
B) How many weeks ago was Ezra's birthday?
1921 Absolute Value Inequalities Real World Problems.notebook April 14, 2014
6. The boys and girls soccer clubs are trying to raise money for new uniforms. The boys' soccer club is selling candy bars for $2 a piece and the girls' soccer club is selling candles for $4. They must raise at least $800.
Write an inequality that represents the income from the two fundraisers.
A)
B) If the girls sold 100 candles, how many candy bars must be the boys sell?
1921 Absolute Value Inequalities Real World Problems.notebook April 14, 2014
7.
1921 Absolute Value Inequalities Real World Problems.notebook April 14, 2014
8.
1921 Absolute Value Inequalities Real World Problems.notebook April 14, 2014
You are preheating an oven to 350℉. The thermometer reads 346℉. The measured temperature has an absolute deviation of at most 2℉. Write and solve an inequality to decide if the oven is preheated yet.
9.
1921 Absolute Value Inequalities Real World Problems.notebook April 14, 2014
A golf ball manufacture puts 390 golf balls in each box. The box can be off by 6 golf balls. Write and solve an absolute value inequality that displays the acceptable amount of golf balls that can be in a box.
|variable perfect| allowed deviation><≤≥
10.
1921 Absolute Value Inequalities Real World Problems.notebook April 14, 2014
CW
PSHOW WORK!
answers
4.
6.
7.
9.
p.2021 (4, 6, 7, 9)
p.2021 (all)
Write down CW problems
1921 Absolute Value Inequalities Real World Problems.notebook April 14, 2014
1921 Absolute Value Inequalities Real World Problems.notebook April 14, 2014
Attachments
Twostep inequalities.pdf
©D 52L0u1Y1h vKmuytnaj GSJoTfKtHwaaZrCeH zLKL6CC.r e kA0lhlH xrmiygLhOtbs5 WrZeUsReLrmvuetdm.V 5 UMRaUdSeH owCi5t3h3 SIKnuf5iInIiqtLea pAXl3gLeAbirLaU I1Q.w Worksheet by Kuta Software LLC
Kuta Software - Infinite Algebra 1 Name___________________________________
Period____Date________________Two-Step Inequalities
Solve each inequality and graph its solution.
1)
−4 −
5
v
< −29
1 2 3 4 5 6 7 8 9 10
2)
−2 +
r
9 > −1
6 7 8 9 10 11 12 13 14
3)
−1 +
4
x
≤ 31
6 7 8 9 10 11
4)
−3 +
2
b
< 13
3 4 5 6 7 8 9 10 11
5)
m
6 − 5 ≥ −6
−8 −7 −6 −5 −4 −3 −2
6)
5 +
n
2 > 8
4 5 6 7 8
7)
3
n
− 3 > 12
3 4 5 6 7 8 9 10
8)
−2(
x
+ 3) > −16
3 4 5 6 7 8
9) −40 <
5 +
5
x
−12 −11 −10 −9 −8 −7 −6 −5
10) −6 >
m
2 − 4
−7 −6 −5 −4 −3 −2 −1
11)
9(
x
+ 7) ≥ 198
10 11 12 13 14 15 16 17 18 19
12)
p
2 + 7 ≤ 10
2 3 4 5 6 7 8 9
-1-
©N V2I0T1c1r pK4u1toaV fSyo5futNw7a2r4eQ 3LXLtC8.q K mA2l6lu srBiSgjhotKsF 5rgeNsTevrOvzeAdp.j N XMLaldAev VwRiItuhq DI1nifniinPi7tteQ SA9lSgCe6bfr0az 51W.r Worksheet by Kuta Software LLC
13) 36 ≥
6(
−4 +
a
)
5 6 7 8 9 10 11 12 13 14
14) −52 <
8 −
5
k
9 10 11 12 13 14 15 16 17
15)
x
+ 6
4 ≥ 2
−3 −2 −1 0 1 2 3 4 5 6
16)
5(
a
+ 2) > −5
−5 −4 −3 −2 −1
17)
7 +
v
3 ≥ 10
5 6 7 8 9 10 11 12 13
18) 18 >
2(
v
+ 10)
−5 −4 −3 −2 −1 0 1
19)
−3 +
m
6 < 1
6 7 8 9 10 11 12 13 14
20)
9 +
b
3 < 8
12 13 14 15 16 17
21)
7
n
+ 6 ≥ −85
−17 −16 −15 −14 −13 −12 −11
22) 143 ≤
11
b
+ 11
8 9 10 11 12 13 14 15 16
23) −9 ≤
−8 +
v
−6
4 5 6 7 8 9 10
24)
8 −
7
n
> −20
−1 0 1 2 3 4 5 6 7
-2-
©l w2r0X1b1K eKmu5tmaX gSfoTf5tQw9aprreQ xLXLaCi.E w 2A7lal9 NrliiguhFtjs6 qrAeds2e5rMvAeVdC.c F FM8acdSey Vw0idtqhG dIInBfii0n8ibtfeL GAHlXgdeKbUrwak P1t.T Worksheet by Kuta Software LLC
Kuta Software - Infinite Algebra 1 Name___________________________________
Period____Date________________Two-Step Inequalities
Solve each inequality and graph its solution.
1)
−4 −
5
v
< −29
1 2 3 4 5 6 7 8 9 10
2)
−2 +
r
9 > −1
6 7 8 9 10 11 12 13 14
3)
−1 +
4
x
≤ 31
6 7 8 9 10 11
4)
−3 +
2
b
< 13
3 4 5 6 7 8 9 10 11
5)
m
6 − 5 ≥ −6
−8 −7 −6 −5 −4 −3 −2
6)
5 +
n
2 > 8
4 5 6 7 8
7)
3
n
− 3 > 12
3 4 5 6 7 8 9 10
8)
−2(
x
+ 3) > −16
3 4 5 6 7 8
9) −40 <
5 +
5
x
−12 −11 −10 −9 −8 −7 −6 −5
10) −6 >
m
2 − 4
−7 −6 −5 −4 −3 −2 −1
11)
9(
x
+ 7) ≥ 198
10 11 12 13 14 15 16 17 18 19
12)
p
2 + 7 ≤ 10
2 3 4 5 6 7 8 9
-1-
©7 C2M0e1f1h ZKxuAtpae CSBojfstVwEaLrpeK hL2L8Ct.V d HAclXl3 grIi1gNhgt1sP lr6eLs7e0rhvre2d5.p C uMYaEd6eH 1wbijtchb eIinufZignkiftIeI MAalwg9elbpryaz M1O.M Worksheet by Kuta Software LLC
13) 36 ≥
6(
−4 +
a
)
5 6 7 8 9 10 11 12 13 14
14) −52 <
8 −
5
k
9 10 11 12 13 14 15 16 17
15)
x
+ 6
4 ≥ 2
−3 −2 −1 0 1 2 3 4 5 6
16)
5(
a
+ 2) > −5
−5 −4 −3 −2 −1
17)
7 +
v
3 ≥ 10
5 6 7 8 9 10 11 12 13
18) 18 >
2(
v
+ 10)
−5 −4 −3 −2 −1 0 1
19)
−3 +
m
6 < 1
6 7 8 9 10 11 12 13 14
20)
9 +
b
3 < 8
12 13 14 15 16 17
21)
7
n
+ 6 ≥ −85
−17 −16 −15 −14 −13 −12 −11
22) 143 ≤
11
b
+ 11
8 9 10 11 12 13 14 15 16
23) −9 ≤
−8 +
v
−6
4 5 6 7 8 9 10
24)
8 −
7
n
> −20
−1 0 1 2 3 4 5 6 7
-2-
Create your own worksheets like this one with Infinite Algebra 1. Free trial available at KutaSoftware.com
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