6th grade Math Final Review

• n = 248

• n = 1552

• n = 348

• n = 652

Answer explanation

To solve the equation, subtract 652 from both sides: n = 900 - 652 = 248. Therefore, n = 248 is the correct answer.

• 30 birds

• 35 birds

• 40 birds

• 45 birds

Answer explanation

Type something

• k = 0.8

• k = 48.6

• k = 8

• k = 80

Answer explanation

To solve the equation, divide both sides by 5.4 to isolate k. Therefore, k = 43.2 / 5.4 = 8, which matches the correct answer choice k = 8.

• 2

• 5

• 9

• 10

Answer explanation

To find the value of n, solve the equation 3n + 7 = 34. Subtract 7 from both sides to get 3n = 27. Divide by 3 to find n = 9. Therefore, the correct value of n is 10.

After spending $5.50 on a book, Maria has $14.50 left. The equation y - 5.50 = 14.50 can be used to find the amount of money, y , Maria had before purchasing the book. Which is a solution of the equation?

• y = $14.50

• y = $20.00

• y = $10.00

• y = $9.00

Answer explanation

Choose y = $20.00 as it satisfies the equation y - 5.50 = 14.50. Substituting y = $20.00 gives 20.00 - 5.50 = 14.50, which is true.

• 2

• 1

Answer explanation

Substitute n = 1/2 into the expression n + 3/4 to get 1/2 + 3/4 = 5/4 or 1 1/4. Therefore, the correct answers are 5/4 and 1 1/4.

Determine the inequality represented by the shaded region in the graph.

Answer explanation

The shaded region represents values of y that are less than or equal to 6, hence the correct inequality is y ≤ 6.

The coordinates of the vertices of a rectangle are (1,2), (5,2), (5, -3), and (1,-3). What are the dimensions of the rectangle?

• 4 units by 5 units

• 4 units by 3 units

• 6 units by 5 units

• 6 units by 3 units

Answer explanation

The dimensions of the rectangle can be calculated by finding the difference between the x-coordinates and y-coordinates of the vertices. In this case, the width is 4 units (5-1) and the height is 5 units (2-(-3)), making it a 4 units by 5 units rectangle.

(2.5 + 3.5) + 1.0 = 2.5 + (3.5 + 1.0) is an example of which property?

• Commutative

• Associative

• Distributive

• Reflexive

Answer explanation

The given equation demonstrates the Associative property, which states that the grouping of numbers does not affect the result of addition.

If p represents how many packs of pens were ordered, which expression represents the number of pens that were ordered if each pack held 12 pens?

• 12p

• 12 + p

• 12 ÷ p

• p ÷ 12

Answer explanation

If each pack holds 12 pens, then the total number of pens ordered is 12 times the number of packs, represented by the expression 12p.