Algebra 1 Review Jeopardy

Equation Solving

100

4x-3=13

x=4

200

-2(x-7)=4

x=5

300

-3(3x--4)+7=2x-27

x=2

400

A baker gets a head start on a machine.  He can create 10 loaves of bread per hour and already has 30 loaves made for the day.  The machine has no prior loaves, but can make 15 loaves of bread per hour.  After how many hours does the machine pass up the baker?

10x+30=15x

30=5x

x=6

After 6 hours

Inequalities

100

Isolate then graph

3x-4<20

x<8

I'll look at your graphs

200

Solve and graph

-4x<20

x>-5

I'll look at your graphs

300

Isolate and graph

3x+5>17 and -2x-4>-16

x>4 and x<6

I'll look at your graphs

400

Finn is racing Jake.  He got a head start of 10 meters and runs at 2 meters per second.  Jake runs at 2.5 meters per second.  Write an inequality representing the time frame Finn is ahead  or equal to Jake, isolate the variable, and write what it means.

2t+10>2.5t

10>.5t

20>t

Finn is ahead or equal to Jake for the first 20 seconds.

Systems of Equations

100

x=4

3x+2y=16

x=4

y=2

200

x=y

2x+3y=25

x=5

y=5

300

3x+2y=16

-3x+3y=-6

x=4

y=2

400

Two numbers add to 84.  One of them is 32 more than triple the other.  What are the two numbers?

x+y=84

y=3x+32

x+3x+32=84

4x+32=84

4x=52

x=13   y=71

Factoring

100

x²+6x+9

(x+3)(x+3)

or

(x+3)²

200

x²-49

(x-7)(x+7)

300

2x²+11x-21

(2x-3)(x+7)

400

6x³+8x²+2x

Fully Factor meaning if you have a correct expression that is not fully factored, it will be incorrect.

2x(3x+1)(x+1)

Writing Linear Equations

100

Write the equation for the line with slope 3 and y-intercept (0,5)

y=3x+5

200

Write the equation for the line with slope 2/3 and goes through the point (-3,5)

y=2/3x+7

300

Write the equation for the line which passes through (2,7) and (4,2)

y=-5/2x+12

400

Steven is running a marathon.  After 18 minutes, he has run 2 miles.  After 27 minutes, he has run 3 miles.  If he can keep this pace and the total race is 26.2 miles, how long will it take him to finish?

Approximately 2.9 hours or 2 hours 54 minutes, 40 seconds.