8th Grade math

Slope

100

What is the slope of the equation y= -4x + 6?

-4

200

The slope of a vertical line

What is undefined?

300

What is the y-intercept of the line 2x+5y=-10

What is -2 or (0,-2)

400

Write the equation of a line that is parallel to the following line: y = 4x + 10

slope must be the same (4)

500

A line that is perpendicular to y=3/4x+7 has what slope?

What is -4/3

System of Equations

100

What is the solution to the following system? x = 4y 2x + 3y = 22

(8,2)

200

r + s = -6 

r - s = -10

(-8,2)

300

2x + 3y = 6

3x + 5y = 15

(-15, 22)

400

2a - 4b = 12

-8a + 16b = -48

Infinitely many solutions

500

3s - 2t = 4

t = 2s - 1

(-2,-5)

Systems of Equations: Word Problems

100

The sum of two numbers is 104. Their difference is 68. What are the numbers?

86 and 18

200

A shopper bought 6 shirts and 8 hats for $700. A week later, at the same prices, he bought 9 shirts and 6 hats for $660. What was the cost of one shirt?

$30

300

Mr. Washington left $25,000 for his son and daughter in his will. Mr. Washington left his son $5,000 less than his daughter. How much did he leave his son and his daughter?

Mr. Washington left his son $10,000 and his daughter $15,000

400

The perimeter of a rectangle is 78 inches. The length of the rectangle is twice its width. What are the dimensions of the rectangle?

26 x 13

500

Tickets to a football game cost $5.00 if purchased before the day of the game. They cost $7.50 if purchased at the game. For a particular game, 600 tickets were sold and the receipts were $3500. How many tickets were sold before the game? How many tickets were sold at the game? How many were sold after?

400 before the game 200 at the game

Scientific Notation

100

Write the number eight billion in scientific notation

What is 8 x 10^9

200

Write the number 0.0000056 in scientific notation

5.6 x 10^-6

300

At a storage warehouse, each crate weighs 1.5 × 10^2 pounds. If there are 6 × 10^3 crates, what is their combined weight?

900,000 lbs or 9 x 10^5 lbs

400

A farm that has 5 x 10^6 acres of land produces about 1.6 x 10^8 pounds of rice each year. How much rice does the farm produce per acre every year?

32 or 3.2 x 10^1

500

A newborn panda weighs about 2.2 x 10^-1 pounds. An adult panda can weigh up to 1.2 x 10^3 times a newborn's weight. How much can an adult panda weigh?

About 264 pounds, or 2.64 x 10^2

Equations

100

4 + k = -8

k = -12

200

10 = m/16

m = 160

300

5(6 - 5x) = -95

x = 5

400

-(n + 2) = 13 - 4n

n = 5

500

3(-6 +4x) = -38 +2x

x = -2