algebraic equations

Algebraic equations

100

what is x 

78x-256= 958

9

200

what is this equation in standard form

y-7=2/5(x+5)5

_{-2x+5y= 41}

300

what is

499x+256-44= 786

2

400

what is 

(362x4)+7,018=x

8,466

500

what is the slope 

y=4x+70

4

Quadratic Function

100

Find one value of x that is a solution to the equation:

(x^2−8)2+x^2−8=20

sqrt 12

-sqrt 12

sqrt 3

-sqrt 3

200

solve −4+x+7x2=0

-10

300

Vertex

where the parabola changes direction; either the max or the min

400

Axis of Symmetry

a vertical line that splits the graph into 2 identical parts; the x-value of the vertex

500

-ƒ(x)

a vertical reflection

Linear equations

100

 Solve: (2x + 5)/(x + 4) = 1

 - 1  

200

 Solve: 6x - 19 = 3x - 10

x = 3

300

5 - 2(x - 1) = 4(3 - x) - 2x

 x = 5/4

400

(0.4y - 3)/(1.5y + 9) = -7/5

- 96/25

500

2(4-y)-3(y+3)=-11

y=2

multiplying and factoring polynomials

100

(x - 3)(x + 4)

x² + x - 12

200

x² - 5x - 24

(x + 3)(x - 8)

300

x² - 10x + 25

(x - 5)²

400

x² - 100

(x - 10)(x + 10)

500

-9x²+9x+108

-9(x+3)(x-4)

exponential functions

100

1,600 dollars is placed in an account with an annual interest rate of 5.25%. How much will be in the account after 25 years, to the nearest cent?

 5,750.06

200

A new car is purchased for 19,900 dollars. The value of the car depreciates at 7.5% per year. What will the value of the car be, to the nearest cent, after 8 years?

10,665.64

300

3,600 dollars is placed in an account with an annual interest rate of 9%. How much will be in the account after 25 years, to the nearest cent?

31,043.09

400

An element with mass 310 grams decays by 5.7% per minute. How much of the element is remaining after 9 minutes, to the nearest hundredth of a gram?

182.8

500

An element with mass 290 grams decays by 13.2% per minute. How much of the element is remaining after 14 minutes, to the nearest 10th of a gram?

40