8th Grade Algebra

Basic Algebra

100

Suppose that y varies directly as x, and y=14 when x=4. What is the value of y when x=9?

31.5

200

AUDIENCE QUESTION

Write an equation of a line in slope-intercept form with the given values

(-4,2) ; slope -3

y= -3x-10

300

Ben has $24 to spend on cookies and cupcakes. Write an inequality that represents what Ben can buy

2x + 3y less than or equal to 24

400

Solve each of the equations

2x + 6y = 18

3x + 2y = 13

(3,2)

500

Evaluate

(4.2 x 10⁶) (5.7 x 10⁸)

2.394 x 10¹⁵

Quadratic Expressions

100

Find each product

(2x+5) (5x+2)

10x² + 29x + 10

200

Solve for each equation

6x² = 12x

0 , 2

300

AUDIENCE QUESTION

Find the sum

(x³+2) (-3x³-5)

-2x³-3

400

Factor the polynomial

4 - 28a +49a²

(2-7a)²

500

Solve

(x-5)² = 121

16 , -6

Quadratic Functions

100

What are the integral roots of

x² - 3x - 4 = 0

-1 , 4

200

What is the minimum value of

f(x)= x² + 6x + 5?

-4

300

Write a formula for the following

Domain: 0,1,2,3,4

Range: 0, 3, 12, 27, 48

y=3x²

400

AUDIENCE QUESTION

Does y=x² - 2x - 3 have a maximum or minimum value?

minimum

500

What is the range of f(x)= lx+3l

f(x)greater or equal to 0

Radical Functions

100

Simplify

Square root of 36x²y⁷

6xy³square root of y

200

Simplify 

(6root 5 + 2) (4root2 + root3)

24root10 + 8root2 + 6root15 + 2root3

300

AUDIENCE QUESTION

Can the following lengths 12, 16 and 21 be the sides of a right triangle?

no

400

A ladder is leaning on a building. The base of the ladder is 10ft from the building, and the ladder reaches 15ft on the building. How long is the ladder?

18ft

500

At a local mall, an escalator is 110 feet long. The angle the escalator makes with the ground is 29 degrees. Find the height reached by the escalator.

about 53 ft or 110sin29

Fun Math

100

I have $400, I use 12.5% to buy clothes 10% to buy food, how much money do I have left?

$310

200

AUDIENCE QUESTION

4.7 squared is ?

between 22 and 24

300

What is the longest side of a triangle?

hypotenuse

400

You find yourself wearing a pair of dirty overalls. You take a quick look around and see that you are surrounded by angry pigs. Luckily, some fence boards are lying around, so you attempt to close up the pigs in a pen. However, you're not sure if you have enough boards to fit them all in! What type of rectangular pig pen would provide the greatest area in which to house the pigs?

square

500

How many legs are there altogether on 2 spiders and 3 crickets?

34