Ms. Julien`s Algebra EOC Review Jeopardy #2

Finding Slope/ Linear Functions

100

Find the slope of the line through the pair of points.

(19, −16), (−7, −15)

-1/26

200

Find the slope of the line through the pair of points.

(9, 3), (19, −17)

−2

300

Write the Slope-intercept form of each line.

9x−7y=−7

y=9/7x+1

400

Find a Point-Slope equation for a line containing the given point and having the given slope.

 (4, -3), m = -1

y + 3 = -1(x – 4)

500

Find a Point-Slope equation for a line containing the given point and having the given slope.

(3, 5), m = -2

y – 5 = -2(x – 3)

Exponents & Properties

100

Simplify.

(2x⁴y^-3)^-1

y^3/2x⁴

200

Simplify.

2m²*2m³

4m⁵

300

Using the Law of Exponents, when the bases are the same what must you do to the Exponents?

Multiply Them.

400

Simplify the exponents.

(4z*3z²)³

1728z⁹

500

Simifply.

(9k⁴/5k)²

81k⁶/25

Polynomials

100

Find each product.

6v(2v + 3)

12v² + 18v

200

Simplify each expression.

(5p² − 3)+ (2p² − 3p³)

−3p³ +7p² −3

300

Simplify each expression.

(4+2n³)+(5n³ +2)

7n³ +6

400

Find the product.

(−y − 3x)(−y + 3x)

y² − 9x²

500

Factor each completely.

3p²−2p−5

(3p − 5)(p + 1)

Word Problems

100

Working alone, Ryan can dig a 10 ft by 10 ft hole in five hours. Castel can dig the same hole in six hours. How long would it take them if they worked together?

2.73 hours

200

Working alone, Carlos can oil the lanes in a bowling alley in five hours. Jenny can oil the same lanes in nine hours. If they worked together how long would it take them?

3.21 hours

300

Krystal can wax a floor in 16 minutes. One day her friend Perry helped her and it only took 5.76 minutes. How long would it take Perry to do it alone?

9 minutes

400

Flying to Kampala with a tailwind a plane averaged 158 km/h. On the return trip the plane only averaged 112 km/h while flying back into the same wind. Find the speed of the wind and the speed of the plane in still air.

Plane: 135 km/h, Wind: 23 km/h

500

 A boat traveled 210 miles downstream and back. The trip downstream took 10 hours. The trip back took 70 hours. What is the speed of the boat in still water? What is the speed of the current?

boat: 12 mph, current: 9 mph

System of Equations / Inequalities

100

Solve the System by Elimination.

−4x−2y=−12 

4x+8y=−24

(6, −6)

200

Solve using Elimination.

8x + y = −16

 −3x + y = −5

(−1, −8)

300

Solve by substitution.

2x+y=20

 6x−5y=12

(7, 6)

400

Solve by using Subsitiuion

y= 5x−7

−3x − 2y = −12

(2, 3)

500

Solve using Elimination.

 −2x−9y=−25 

−4x−9y=−23

(−1, 3)