Name: ____________________________________
Learning Target Mastery Practice & Application
LT1: I will be able use pictures and models to solve real life and mathematical problems that can be represented by numerical and algebraic equations.
1. Bob and Bill are brothers and both earn a weekly allowance. Bob, as the older brother, receives $10 more than Bill. Their parents pay them a total of $40 a week together.
a. Write an equation to represent the situation.
b. Solve to find out how much bob makes.
2. Julia and Keller are volunteer firefighters. On Saturday they held their annual coin drop fundraiser. They both collected their own bucket of coins. After one hour, Julia collected $22 less than Keller. They collected
$68 in one hour.
a. Write an equation to represent the situation.
b. Solve to determine how much money each firefighter collected.
7
thGrade Chapter 7 Examples of Rigor
LT2: I will be able to write and solve real life and mathematical problems that can be represented by 2-step equations using inverse operations.
3-5: Solve each equation. Justify your answer with work.
3) -20 = 9x - 2 4) -3p – 10 = 17 5) 1
2 8
5x+ = −
6) A baseball team goes out for pizza after a game. Each player orders a slice of pizza and a drink for $4.50 and together leave a tip of $8.
a. If there are 9 on the team, what is the total bill?
7) Sarah wants to save up for an iPad that costs $300. She already has $140 saved and she plans on saving
$10 per week.
a. Write an equation to model the situation. Define the variable.
b. Solve the equation to determine the number of weeks Sarah will need to save before she can buy her iPad.
8-9: Find the unknown number.
8. What number can you multiply by 4 and subtract 5
from the product to get 15. 9. What is the number that when you multiply it by -6 and add 10 to the product you get 64.
LT3: I will be able to write and solve real life and mathematical problems that are represented by equations involving the distributive property.
10-11: Solve each equation.
10) 2(m+10) = 24 11) -4(2x – 8) = 48
12. The length of a standard picture is (x + 2) inches long, and the width is 4 inches. If the amount of paper needed for the picture is 24 square inches, write and solve an equation to find the length of the picture.
13. The perimeter of the rectangle shown 22in. Write and solve an equation to find the length of the rectangle. State the length of the rectangle.
LT4: I will be able to write, solve, and graph real life and mathematical problems that can be represented by inequalities.
14-15: Write an inequality for each sentence. Solve and graph your solution.
14. Six more than a number is more than 9.
15. The quotient of a number and 2 increased by 6 is less than or equal to 15.
16-18: Solve for the variable. Graph your solution.
16. 1 – 0.4x > -1 17. 2x – 5 < -3 18. 7 < -2x – 3
19. A list of possible solutions for the inequality is shown. Circle the solutions that make the inequality true.
Then list 3 additional solutions to the inequality. 2x + 7 > 15
-2, -1, 0, 1, 2, 3, 4, 5, 6, 7
Additional Solutions: __________, __________, __________
20. Daniel makes $3.00 per hour working at a convenience store and he gets a bonus of $25 this week. Write and solve an inequality to find how many hours must he work to make at least $175. Then graph the solution.
a) Write an inequality that represents the total amount of money Daniel makes this week for working h hours.
b) How many hours must Daniel work to make at least $175?
c) Graph the solution of your inequality from part (a).
