8th Grade Math

Exponents

100

Solve:

2¹⁰

1024

200

Solve:

10⁴

10,000

300

Solve:

4⁹

262,144

400

Solve:

12⁴

20,736

500

Solve:

10¹⁸

1,000,000,000,000,000,000

Scientific Notation

100

Write 1.2 x 10⁸ in standard notation.

120,000,000

200

Write 3.4 x 10^-6 in standard notation.

.0000034

300

Write 45970000 in scientific notation. 

4.597 x 10⁷

400

Solve:

(2.1 x 10⁵) x (3 x 10³)

6.3 x 10⁸

500

Solve

(6 x 10⁹) x (2 x 10⁴)

1.2 x 10¹⁴

Linear Equations

100

Identify the y-intercept of the equation y=2x+15

15

200

What is the value of the slope in the equation y=-6x+12

-6

300

Write the equation for a line that intercepts the y-axis at positive 12 and has a slope of 4.

y=4x+12

400

Create an equation for a line that crosses the y-axis at -7 and intersects the point (5,-4)

y=3/5x-7

500

Samantha is saving money to buy a new bicycle. She already has $50 saved, and she plans to save an additional $15 each week from her allowance. 

Write a linear equation that represents the total amount of money M Samantha will have after w weeks. Then, determine how many weeks it will take her to have $200.

equation: y=15x+50

answer: 10 weeks

Pythagorean Theorem

100

What is the formula for the Pythagorean theorem?

a²+b²=c²

200

What is the length of the hypotenuse of a triangle when it's legs are 12 and 16 units?

20

300

What is the length of the hypotenuse of a triangle that has legs that measure 56 and 33 units?

65 

400

What is the length of the missing leg of a right triangle if the hypotenuse is 20 and the other leg is 12?

16

500

What is the missing length of the leg of a right triangle that has a hypotenuse with a measurement of 8.8 and a leg that measures 8.5?

2.3

System of Equations

100

How many solutions do two lines have if they are parallel to each other.  

no solution

200

Is (1,10) a solution to this system of equations?

y=9x+1

y=x+8

no

300

How many solutions does the system of equations below have?

y = –5x + 3
y = –5x + 3

Infinitely many

400

How many solutions does the system of equations below have?

5x − 10y = 7
10x − 20y = –19

No solution

500

Write a system of equations to describe the situation below, then solve.

The members of a cooking club are making cakes, which they will sell at a street fair for $8 a piece. It cost $20 for a booth at the fair, and the ingredients for each cake cost $3. At some point, the club members will sell enough cakes so that they will be able to pay for all of their expenses. How much will the sales and expenses be? How many cakes will they have sold?

They will have to sell 4 cakes to make $32 to cover their expenses.