Math 8 Assessment Worksheet

Front

What is the solution to the equation -2y - 4 = 5(y + 3)?

Back

y = -\frac{4}{7}

Front

Write an inequality that represents the minimum number of hours, x, for which the cost of renting a bouncy house from Party Jumpers is greater than from Fun Time Rentals.

Back

60 + 80x > 40 + 95x

Front

If the length of AB is greater than the length of AD in rectangle ABCD, which inequality represents this situation?

Back

9x - 16 > 1.5x + 42

Front

What situation can be represented by the equation 18x = 19 + 12x?

Back

Alex paid a deposit of $19 plus $18 per hour to rent a dining room at a restaurant. Jamie paid $12 per hour to rent a dining room at a restaurant. How many hours, x, would it take for Alex and Jamie to pay the same amount of money?

Front

How many weeks will it take for Maria and David to have the same amount of money in their account?

Back

11 weeks

Front

What is the definition of an inequality?

Back

An inequality is a mathematical statement that indicates one quantity is larger or smaller than another, using symbols such as >, <, ≥, or ≤.

Front

What does it mean for two expressions to be equivalent?

Back

Two expressions are equivalent if they have the same value for all values of the variable(s) involved.

Front

What is the formula for calculating the cost of renting a bouncy house from Party Jumpers?

Back

Cost = 60 + 80x, where x is the number of hours.

Front

What is the formula for calculating the cost of renting a bouncy house from Fun Time Rentals?

Back

Cost = 40 + 95x, where x is the number of hours.

Front

How do you solve the equation 18x = 19 + 12x for x?

Back

Subtract 12x from both sides: 6x = 19, then divide by 6: x = \frac{19}{6}.