Download Notes and Homework - Unit 2 Packet 4 of 5

7th Grade
Unit 2 – Expressions
and Equations:
Packet 4 of 5
Mr. Rothdiener
Name: _____________________________________
Packet Outline, Page 1
 2.21: Solve and Graph Two-Step Inequalities (7.EE.B.3, 7.EE.B.4b),
Pages 2-4
o I can solve two-step inequalities incorporating rational numbers.
o I can graph the solution set of an inequality.
 2.22: Solve and Graph Multi-Step Inequalities (7.EE.B.3, 7.EE.B.4b),
Pages 5-7
o I can solve multi-step inequalities incorporating rational numbers.
o I can graph the solution set of an inequality.
 2.23: Solve and Graph Multi-Step Inequalities (7.EE.B.3,
7.EE.B.4b), Pages 8-10
o I can solve multi-step inequalities incorporating rational numbers.
o I can graph the solution set of an inequality.
 2.24: Inequality Word Problems (7.EE.B.3, 7.EE.B.4b), Pages 11-13
o I can set-up and solve inequality word problems.
o I can graph the solution set of an inequality.
 2.25: Inequality Word Problems (7.EE.B.3, 7.EE.B.4b), Pages 14-16
o I can set-up and solve inequality word problems.
o I can graph the solution set of an inequality.
 2.26: Inequality Word Problems (7.EE.B.3, 7.EE.B.4b), Pages 17-19
o I can set-up and solve inequality word problems.
o I can graph the solution set of an inequality.
 Quiz 2.4 Review (7.EE.B.3, 7.EE.B.4b), Pages 20-21
o I can solve multi-step inequalities incorporating rational numbers.
o I can set-up and solve inequality word problems.
o I can graph the solution set of an inequality.
1
2.21: Solve and Graph Two-Step Inequalities
(7.EE.B.3, 7.EE.B.4b)
Bell Work:
Solve for x and check:
x – 4 = 10
Check
Whole-Class:
Solve, check, and graph the following inequalities.
1.) x - 4 ≤ 10
Check
2.) -6x + 12 > 18
Check
2
Guided Practice:
3.) Solve, check, and graph the following inequality.
(14 – 12)2 ≤ 𝑥
Check
Independent Practice:
4.) Solve, check, and graph the following inequality.
12 - x ≤ 10
Check
3
HOMEWORK 2.21
Solve and check each inequality. Then graph your solution on the
number line.
1.) 2x - 6 ≤ 12
Check
2.) (10 – 7)2 ≤ 𝑥
Check
4
2.22: Solve and Graph Multi-Step Inequalities
(7.EE.B.3, 7.EE.B.4b)
Bell Work:
Solve, check, and graph the following inequality.
x-7≤3
Check
Whole-Class:
1.) Solve, graph, and check the following inequalities.
-4(3 – x) > 2(x + 5)
Check
5
Guided Practice:
2.) Solve, check, and graph the following inequality.
-4x + 7x - 3 > -9
Check
Independent Practice:
3.) Solve, check, and graph the following inequality.
-5(4 + x) > 3(x + 20)
Check
6
HOMEWORK 2.22
1.) Solve and check the inequality. Then graph your solution on the
number line.
2x – 6 + 3x ≤ 24
Check
7
2.23: Solve and Graph Multi-Step Inequalities
(7.EE.B.3, 7.EE.B.4b)
Bell Work:
Solve, check, and graph the following inequality.
-3x - 8 ≤ 4
Check
Whole-Class:
1.) Solve, graph, and check the following inequality.
-9x + 30 ≤ -6
Check
8
Guided Practice:
2.) Solve, check, and graph the following inequality.
x
5
−
x
8
Check
≤3
Independent Practice:
3.) Solve, check, and graph the following inequality.
x
3
−
x
5
Check
≤4
9
HOMEWORK 2.23
1.) Solve and check the inequality. Then graph your solution on the
number line.
x
2
−
x
7
Check
≤5
10
2.24: Inequality Word Problems
(7.EE.B.3, 7.EE.B.4b)
Bell Work:
Solve, check, and graph the following inequality.
-4x - 3 ≤ 13
Check
Whole-Class:
1.) Translate and solve: Three less than five times a number is greater
than or equal to seventeen.
Let x = __________________
11
Guided Practice:
2.) Translate and solve: Five less than three times a number is no more
than ten.
Independent Practice:
3.) Translate and solve: Six times a number minus 7 is at most five.
12
HOMEWORK 2.24
1.) Translate and solve: Five times a number minus 3 is at most 17.
13
2.25: Inequality Word Problems
(7.EE.B.3, 7.EE.B.4b)
Bell Work:
Solve, check, and graph the following inequality.
-2x + 9 > 15
Check
Whole-Class:
1.) Translate and solve: Connor went to the county fair with $22.50 in
his pocket. He bought a hot dog and a drink for $3.75, and then
wanted to spend the rest of his money on ride tickets which cost
$1.25 each.
14
Guided Practice:
2.) On a particular airline, checked bags can weigh no more than 50
pounds. Sally packed 32 pounds of clothes and five identical gifts in
a suitcase that weighs 8 pounds. Write an inequality to represent
this situation. Be sure to use a let statement and solve.
Independent Practice:
3.) Translate and solve: The cost of renting a car is $25 per day plus a
one-time fee of $75.50 for insurance. How many days can the car
be rented if the total cost is to be no more than $525?
15
HOMEWORK 2.25
1.) Corey went bowling with $25 to spend. He rented shoes for $3.75
and paid $3.00 for each game. What is the greatest number of
games Corey could have played? Write an inequality and solve it. Be
sure to use a let statement to represent the number of games
bowled.
16
2.26: Inequality Word Problems
(7.EE.B.3, 7.EE.B.4b)
Bell Work:
Solve, check, and graph the following inequality.
-11x + 14 < -8
Check
Whole-Class:
1.) For her cell phone plan, Heather pays $30 per month plus $0.05 per
text. She wants to keep her bill under $80 per month. Determine
the maximum amount of text messages she can send per month.
Write an inequality and solve it. Be sure to use a let statement to
represent the number of text messages.
17
Guided Practice:
2.) Sean’s age is two more than three times his younger brother’s,
Landon’s age. If the sum of their ages is at most 10, find the
greatest age that Sean could be. Be sure to use let statements,
write an inequality and solve.
Independent Practice:
3.) You are the owner of the biggest and newest rollercoaster called
the ‘Gentle Giant’. The rollercoaster costs $6 to ride. The operator
of the ride must pay $200 per day for the ride rental and $65 per
day for a safety inspection. If you want to make a profit of at least
$1000 each day, what is the minimum number of people that must
ride the rollercoaster to make that profit? Be sure to use a let
statement, write an inequality and solve.
18
HOMEWORK 2.26
1.) Games at the carnival cost $3 each. The prizes awarded to winners
cost the owner $145. How many games must be played for the owner
of the games to make at least $50? Be sure to use a let statement,
write an inequality, and solve.
19
Quiz 2.4 Review
(7.EE.B.3, 7.EE.B.4b)
Use your knowledge of math to complete each of the following
questions. Show your work!
1-2: Solve and check the inequalities. Then graph your solution on the
number line.
1.) 4x + 13 > 53
Check
2.) 40x – 12 ≥ 25x + 78
Check
20
3.) Mr. Duck was given $150 dollars for his birthday. He wanted to go
to the amusement park. The cost of admission was $20 and each
ride was $7. How many rides could Mr. Duck ride if he wants to
spend at most $100 of his birthday money at the amusement park?
Be sure to use a let statement, write an inequality, and solve.
21