Algebra project

solving equations

100

Anything you do to _______, you have to do to the _____

Fill in the blanks 

One side, other

200

To solve an equation, you need to _______ the variable by using _______, or opposite, operations 

Fill in the blanks 

Isolate, Inverse 

300

-5+X=17

X=22

400

6x-2(X-5)=46

X=9

500

9(x-3)+3x=7x+43

X=12

solving systems by substitution

100

you have to solve one of the equations for one of the ________

Fill in the blank  

variables 

200

2x+5y=19 

y=3x-3

(2,3)

300

-4x+3y=-2

y=x+1

(5,6)

400

y=-2x-9

6x-5y=-19

(-4,-1)

500

-x+y=3

3x+y=-1

(-1,2)

Adding/subtracting polynomials

100

To add or subtract polynomials _________ like terms  

fill in the blank 

combine

200

(x+5)+(4x-7)

5x-2

300

(11x-x²+13)+(2x²-23-5x)

X²+6x-10

400

(4x²+5x)-(7x+3x²+1)

x²-2x-1

500

(12+8x³+3x-4x²)+(5x³+15-x+2x²)

13x³-2x²+2x+27

Properties of quadratics

100

What is the standard form of a quadratic equation?

y=ax²+bx+c

200

What's the formula for the axis of symmetry?

X=-b/2a

300

y=x²+2x-5

Is the parabola a negative or positive parabola?

Positive

400

y=x²+8x+15

Find the axis of symmetry 

X=-4

500

y=-x²+4x

find the vertex

(2,4)

Arithmetic sequences

100

8, 6, 4, 2 ... 

determine whether the sequence is arithmetic. If yes, identify the common difference

Yes

D=-2

200

-8, -2, 4, 10, __, __, __

Find the next three terms 

16, 22, 28

300

What is the formula used to find the nth term of an arithmetic sequence?

a_n=d(n-1)+a₁

400

30, 26, 22, 18

write the rule for the nth term, then find a₁₉

-42

500

-16, -21, -26, -31

write the rule for the nth term, then find a₁₉

-106