Grade 07 Mathematics - EC: M07.B-E.2.2.2

Continuum of Activities

The list below represents a continuum of activities: resources categorized by Standard/Eligible Content that teachers may use to move students toward proficiency. Using LEA curriculum and available materials and resources, teachers can customize the activity statements/questions for classroom use.

This continuum of activities offers:

Instructional activities designed to be integrated into planned lessons
Questions/activities that grow in complexity
Opportunities for differentiation for each student’s level of performance

Grade Levels

7th Grade

Course, Subject

Mathematics

Related Academic Standards / Eligible Content

M07.B-E.2.2.2 M07.B-E.2.2.2

Solve word problems leading to inequalities of the form px + q > r or px + q < r, where p, q, and r are specific rational numbers, and graph the solution set of the inequality. Example: A salesperson is paid $50 per week plus $3 per sale. This week she wants her pay to be at least $100. Write an inequality for the number of sales the salesperson needs to make and describe the solutions.

Activities

You are setting up a budget for monthly spending to buy music online. The website that you order from charges you a fee of $4 each month and each song you download costs $1.25. Write an inequality to show how to find the number of songs you can buy if you can only spend less than $15.

When you order a cheese pizza the cost is $8 and each additional topping is $1.75. If you only have $12.50 to spend, write an inequality to find out how many extra toppings you can get.

Thomas has already saved $1,700. He plans to save $350 per month until he has enough money to take his family on vacation. How many months must Thomas save money if he wants to go on a vacation that costs $3,800? Write an inequality to solve the problem.
Part B) Solve the inequality that you wrote, show your work.

The senior class at a local high school needs to purchase a park permit for $185 for their upcoming graduation picnic. Each senior attending the picnic pays $0.25. Each guest pays $1.25. If 150 seniors attend the picnic, write an inequality that can be used to determine the number of guests, x, needed to cover the cost of the permit?
Part B) Solve the inequality that you wrote, show your work.

A tree is currently feet tall and is growing at a rate of feet tall each year. Write an inequality to show how to find when the tree will be 14 feet or taller.
Part B) Solve the inequality that you wrote, show your work.

If you attend every day of school you will be in each of your classes (subjects) for 136 hours. If you miss one class that is equivalent to missing 0.75 hours in class. The minimum time that you need to be in class to pass is 121 hours. Write an inequality to show the number of classes that you can miss and still have enough hours to pass.
Part B) Solve the inequality that you wrote, show your work.

Answer Key/Rubric

$1.25x + $4 < $15

$1.75x + $8 < $13

$1700 + $350m ≥ $3800

Part B) Student work might include but is not limited to,

$1700 + $350m ≥ $3800
Subtract 1700 from both sides
$350m ≥ $2100
Divide both sides by 350
M ≥ 6
Thomas must save for 6 more months to have enough money to take his family on vacation

0.25(150) + 1.25x ≥ 185
37.50 + 1.25x ≥ 185 (simplified equation)

Part B) Student work might include but is not limited to,

37.50 + 1.25x ≥ 185
Subtract 37.50 from both sides
1.25x ≥ 147.50
Divide both sides by 1.25
X ≥ 118
At least 118 guests must attend to pay for the permit in full

Part B) Student work might include but is not limited to,

Subtract from both sides
Divide both sides by
years
The tree will be over 14 feet tall in just under 4 years.

121 + 0.75c ≥ 136

Part B) Student work might include but is not limited to,

121 + 0.75c ≥ 136
Subtract 121 from both sides
0.75c ≥ 15
Divide both sides by 0.75
C ≥ 20
You can’t miss more than 20 classes if you want enough hours in class to pass.