Unit 4 Part 2 Study Guide (Due 3/2/26)
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What type of line will each Linear Inequality have?
Use the point (0,0) to see if it makes the following linear inequality true or false:
After evaluating the linear inequality at that point it makes the linear inequality
Click on the solution for this system of inequalities.
Click on the solution for this system of inequalities.
Directions: Graph this Linear Inequality. (Remember to shaded the correct area.)
This line will have a line.
Using the point (0,0) makes this inequality
Directions: Graph this Linear Inequality. (Remember to shaded the correct area.)
This line will have a line.
Using the point (0,0) makes this inequality
Graph each system of inequalities to show all possible solutions.
Graph each system of inequalities to show all possible solutions.
Determine if the point (5,-4) is a solution to this system of equations:
Explain how you determined if (5,-4) is a solution. Use complete sentences and support your response with math.
Here are two equations:
Equation 1: 5x-2y=15
Equation 2: 6x+4y=34
Is (3,0) a solution to this system of equations? Use complete sentences and support your response with math.
Solve each word problem using substitution or elimination.
Link is thinking of two positive numbers. He says, “If we double the first number and triple the second number, the difference is 10.”
Link then says, “If we take half of the first number and double the second, the sum is 8.”
What are Link's two numbers?
1st Number
2nd Number
Solve each word problem using substitution or elimination.
Adult tickets for the school musical sold for $3.50 and student tickets sold for $2.50. On a given night, 321 tickets were sold for $937.50. How many of each kind of ticket were sold?
Number of adult tickets
Number of student tickets
Solve each word problem using substitution or elimination.
Matt and Ming are selling fruit for a school fundraiser. Customers can buy small boxes of oranges and
large boxes of oranges. Matt sold 3 small boxes of oranges and 14 large boxes of oranges for a total of
$203. Ming sold 11 small boxes of oranges and 11 large boxes of oranges for a total of $220. Find the
cost each of one small box of oranges and one large box of oranges.
How much does one small box of cost?
How much does one large box oranges cost?
Solve each word problem using substitution or elimination.
The sum of two numbers is 79, and their difference is 23. What are the two numbers?
First Number
Second Number
Solve each word problem using substitution or elimination.
The sum of two numbers is 46. If the first numberis doubled and added to second number the total is 62. What are the two numbers?
1st Number
2nd Number
Solve each word problem using substitution or elimination.
A repair shop in the mall, charges a flat fee of $30 plus $50 per hour for labor. Your friend charges no flat fee but $65 per hour.
If the repair only takes 1 hour, who will repair it for less money?
After how many hours will the repair fees be the same?
What is that repair fee?
Solve each word problem using substitution or elimination.
Two coworkers, Maya and Sam, go to a coffee shop. Maya buys 2 lattes and 3 muffins for a total of $18. Sam notes that the price of a latte is exactly $1.50 more than the price of a muffin.
How much is cost of latte?
How much is the cost of a muffin?
What would the bill be for 4 lattes and 4 muffins?
Solve each word problem using substitution or elimination.
A family goes to the movies. The first group buys 2 popcorns and 3 sodas for $23. The second group buys 5 popcorns and 3 sodas for $44.
How much does a soda cost?
How much does a popcorn cost?
If another family only has 30 dollars to spend? Do they have enough money to buy 3 popcorns and 4 sodas? (Use complete sentences to explain your answer.)
Solve each word problem using substitution or elimination.
A landscaping company is planting trees and shrubs for two different neighbors. For the first neighbor, they plant 4 trees and 2 shrubs for $200. For the second neighbor, they plant 3 trees and 5 shrubs for $255.
How much does a tree cost?
How much does a shrub cost?
How much would 2 trees and 4 shrubs cost?
Solve each word problem using substitution or elimination.
An animal shelter currently has 24 animals, consisting only of dogs and cats. The number of dogs is one-third the number of cats.
How dogs are in the shleter?
How many cats are in the shelter?
Solve each word problem using substitution or elimination.
A school club is selling hats and t-shirts to raise money. They sold a total of 40 items. Hats cost $15 each and t-shirts cost $20 each. They raised a total of $725.
How many hats did they sell?
How many shirts did they sell?
If the club only sold 20 hats, how many t-shirts would they need to sell to raise at least $1000?