Mod 3 A & B Math Test

Consider the expressions (3m + 2n - 6) and (-4 - 6m + 7n). What is the sum of the expressions for n = -2 and m = 5?

Which expression shown is equivalent to the sum of the two original expressions written in standard form?

• - -3m + 9n - 10

• - 10m - 4n - 10

• - -4mn

• - 9n - 3m + 10

The expression (p - 5 + 3a) - (6p - 4a + 1) can be rewritten in standard form. Drag a justification to each step shown in the table.

• Combine like terms

• Any order, any grouping

• Subtraction as adding the opposite

• The opposite of a sum is the sum of its opposites

Model the product of −4 and 3a − 2b + 4c using the rectangular array shown. Drag expressions to complete the array.

Which expression shows 56z + 40y − 48z written as a product of the greatest common factor and one other factor?

• 8(7z + 5y − 6z)

• 8(7z + 5y + 6z)

• 8z(7 + 5y − 6z)

• 4(14z + 10y − 12z)

Is 1/2 a solution to the equation 8 - 2x = 10x + 3? Select your answers from the drop-down lists. 1/2 is a solution because 8 - 2(1/2) equals 10(1/2) + 3.

• equals

• does not equal

John has $55. He buys 6 books. Each book costs the same amount. He now has $10. Drag expressions to complete the tape diagram shown to model this situation.

• $65

• Cost of 1 book

• $55

• $16

• Cost of 6 books

There are 235 seventh-grade students going on a field trip. The school has 5 buses to take the students. Each bus has 22 seats, and 2 students can sit in each seat. Based on this information, how many students will not be able to ride on a bus for the field trip? There are ______ students who will not be able to ride on a bus for the field trip.

A family is driving 550 miles to their grandmother's house. They have already driven 350 miles. Which equation shows the rate, ( r ), in miles per hour, the family must drive to reach their grandmother's house in 4 hours?

• 4r + 350 = 550

• 550 + 350 = 4r

• 4 + r + 350 = 550

• 550 - 350 = r/4

If the sum of the measures of the three angles shown is 163°, what is the measure of ∠CEB?

• 24°

• 53°

• 86°

• 139°