Algebra 1 review game

Arithmetic sequences

100

What is the explicit formula for the following arithmetic sequence: 2, 5, 8, 11, 14

a_n=3n-1

200

What is the explicit formula for the following arithmetic sequence: 12, 16, 20, 24, 28

a_n=4n+8

300

Find a₇ for the following arithmetic sequence: 30, 25, 20, 15, 10

0

400

Find a₁₅ for the following arithmetic sequence: -3, 0, 3, 6, 9

39

500

Find a₃₆ for the following arithmetic sequence: 3, 7, 11, 15, 19 

143

Simplifying expressions

100

3³⋅3⁴

3⁷ 

200

6⁷ ⁄ 6²

6⁵

300

(3y⁴)²

6y⁸

400

(2x⁴y⁵)(-3x²y⁷)

-6x⁶y¹²

500

(34x⁵y⁶z^-7)⁰

1

Domain and Range

100

What is the definition of a domain?

Domain is the span of x-axis.

200

What is the definition of Range?

Range is the span of the y-axis.

300

What is the domain and range of the quadratic function below?

X	Y
-2	-0.8
-1	-0.6
0	0
1	2
2	8

Domain: all real numbers

Range: y>-1

400

What is the domain and range of the quadratic function below?

X	Y
-2	13
-1	7
0	5
1	4.3
2	4.1

Domin: All real numbers 

Range: Y>4

500

What is the domain and range of the quadratic function below?

x	y
-2	0.0625
-1	0.125
0	0.25
1	0.5
2	1

Domain: All real numbers 

Range: y>0

Finding slope

100

When two points are given to you from a linear equation, what formula would you use to find the slope?

m= (y2-y1)/(x2-x1)

200

What is the slope of the linear equation that passes through (0,1) and (5,3)?

m=(3-1)/(5-0) 

m=2/5

300

What is the slope of a linear equation that passes through points (-12,14) and (6,-1)?

m=(-1-14)/(6+12)

m=-15/18

m=-5/6

400

What is the slope for a linear equation that passes through two points (3,3) and (1,-3)?

m=(-3-3)/(1-3)

m=(-6/-2)

m=3

500

What a linear equation that passes through the two given points?

(2,-2) and (0,-1)

m=(-1+2)/(0-2)

m=-1/2

y+2=-1/2(x-2)

y+2=-1/2x+1

y=-1/2x-1

Slope-intercept/Point slope/Standard

100

What is slope intercept formula?

y=mx+b

200

What is standard formula?

ax+by=c

300

Which equation below represents slope formula?

a. 4x+7y=28

b. 2x - 8 = -3y + 2 

c. y=3x-5 

d. 2x - 3y = 10 

c

400

What is point slope formula?

y-y1=m(x-x1)

500

When the slope = 2 and y-intercept =-1, what it look like after you convert it to slope intercept formula?

y=2x-1