Released Practice Questions Grade 8 Mathematics

The dance floor at a hotel is in the shape of a square. The area of the ballroom floor is 576 square meters. To find the length, in meters, of each side of the dance floor, Jolie evaluates the expression shown.

√576 What is the length, in meters, of each side of the dance floor?

• 16

• 24

• 144

• 288

Select the three expressions that are equal to 1.

• (-8)^0

• -1^6

• 1^4

• 2^1

• (-1)^2 / (-1)^6

• Between 0 and 1

• Between 1 and 2

• Between 2 and 3

• Between 3 and 4

The fraction 7/11 can be represented as an equivalent repeating decimal in the form shown. Write the equivalent repeating decimal.

• 0.63

• 0.636

On average, the moon is 384,400 kilometers from the Earth. How is this distance written in scientific notation?

• 0.3844 × 10⁻⁶

• 3.844 × 10⁻⁵

• 3.844 × 10⁵

• 0.3844 × 10⁶

An expression is shown:

Choose an equivalent expression in scientific notation.

• 20000

• 2x10^4

• 2x10^5

• 20000

An equation is shown. x³ = 125. What are all the possible values of x?

• −5 only

• 5 only

• −5 and 5

• 5 and 25

Which linear equation has no solution?

• 7x + 2 = 3x + 2

• 7x + 2 = 3x + 4x + 2

• 3x + 2x – 5 = 5 + 4x + x

• 3x + 2x – 5 = 6 – 11 + 5x

Kayla sells hats at a store for gift cards.

• Kayla already has $42.50 in gift cards at the store.

• The hats Kayla sells have a cash value of x dollars.

• The store pays an additional 30% when hats are sold for gift cards rather than for cash.

• After selling the hats for gift cards, Kayla has $140.26 in gift cards at the store.

To determine the cash value of the hats she sells, Kayla writes the equation

42.5 + x + 0.3x = 140.26. What is the cash value of the hats Kayla sells?

• $24.44

• $48.73

• $75.20

• $96.46

Shaun is doing a science experiment. He has x liters of a solution that is 50% salt. He has

y liters of a different solution that is 10% salt. He combines the two solutions together and

ends up with 4 liters of a solution that is 35% salt. To represent this situation, he writes the

system of equations shown.

x + y = 4

0.5x + 0.1y = 1.4

Which ordered pair represents the number of liters of each of the two solutions Shaun

started with?

• (0.65, 3.35)

• (0.75, 3.25)

• (2.5, 1.5)

• (3.5, 0.5)