2026 8th Grade

Multiple Choice

Write an expression for the following. Jerry has $20 and makes $7 per hour.

• y = 7x + 20
• y = 7 + 20x
• y = 20 + 7
• y = 20x + 7x

Open Ended

How can you determine when an equation has no solution or infinitely many solutions?

Fill in the Blank

The equation 6x + 14 = 2(3x + 7) has ___ many solutions.

Open Ended

How would you interpret the final equation in each solution for 6x + 14 = 2(3x + 7)? Is the final equation always true, sometimes true, or never true? Explain your reasoning.

Open Ended

How would you interpret the final equation in each solution? Is the final equation always true, sometimes true, or never true? Explain your reasoning.

Multiple Choice

Which of the following equations has infinitely many solutions?

• 5x - 7 = 4x + 2

• 1.9x + 6 = 2.50x

• 4x - 1 = 4(x + 2)

• 5(2x - 1) = 10x - 5

Multiple Choice

Solve the equation 5x - 7 = 4x + 2. What is the value of x?

• x = 9

• x = -9

• x = 7

• x = -7

Multiple Choice

Daniel has four chicken coops. Coop B produces 2/5 times the amount of eggs as coop A minus 10 eggs. If coop A produced 125 eggs, how many eggs did coop B produce?

• 46

• 46.5

• 47

• 48

Multiple Choice

Which inequality represents all values of x that are greater than or equal to -6?

• x ≥ -6

• x < 7

• x ≤ -6

• x > 7

Open Ended

How can you solve an inequality with variables on both sides of the inequality symbol?

Multiple Select

Which of the following equations or inequalities could be used to determine how many additional tickets must be sold to make $1,200, given that each ticket costs $12 and $720 worth of tickets have already been sold?

• 12x + 720 = 1200

• 12x = 1200

• 12x + 720 ≥ 1200

• 12x + 720 < 1200

Fill in the Blank

What is the solution set of an inequality? Fill in the blank: The solution set of an inequality is the set of all points that make an inequality ___.

Open Ended

Describe the process each student used to determine the solution set of the inequality 8x + 2 ≥ 5x - 10.

Open Ended

Explain why Harper and Diego are both correct even though their solutions look different.

Open Ended

Write an inequality to represent the situation where the total cost at the bakery is less than the total cost at the deli when x is the number of sandwiches ordered. Determine the solution set to the inequality. Explain your reasoning.

Open Ended

Write and solve an inequality that represents the situation when the number of podcasts Elijah listened to is greater than the number of podcasts Kai listened to. Explain your reasoning.

Multiple Choice

Which of the following scenarios could be represented by the inequality 9x + 5 < 13x?

• A person saves $9 per week plus $5, and wants to have less money than someone who saves $13 per week.

• A person spends $9 per week plus $5, and wants to spend more than someone who spends $13 per week.

• A person earns $9 per week plus $5, and wants to earn more than someone who earns $13 per week.

• A person saves $13 per week plus $5, and wants to have less money than someone who saves $9 per week.

Multiple Choice

Solve the inequality: -7x - 4 > -2x + 16. What is the solution set for x?

• x < -4

• x > 4

• x < 4

• x > -4

Fill in the Blank

When solving the inequality 8x + 15 > 5x - 29, the first step is to combine like terms. Fill in the blank: 8x + 15 > 5x - 29 becomes ___ > -29 after subtracting 5x from both sides.

Open Ended

Describe how to solve an inequality in your own words.

Multiple Choice

Which strategy would you use to compare the number of books among the five friends, given only the relationships described?

• Assign a variable to Mateo's books and use algebraic expressions for others

• Guess the numbers based on the information

• Draw a picture of the friends

• Ask each friend directly