2023 / 2024 Algebra Review

Quadratics

100

Find the solutions to the following quadratic equation:

(x-5)(x+9)=0

x = 5 and x = -9

200

Find the roots to the quadratic equation:

2x²=200

x = 10 and x = -10

300

What is the discriminant of the following and how many solutions does it have:

2m² + 2m − 12 = 0

100; 2 solutions because it is positive

400

Find the solutions to the following quadratic:

2x² − 3x − 5 = 0

x = 5/2

x = -1

500

A water balloon is catapulted into the air so that its height h, in meters, after t seconds is

 h = -4.9t² + 24.5t + 1.  What is the maximum height of the balloon?  Round to the nearest tenth.

h = 31.6 meters

Functions

100

Algebra: Is this a function: {(1, 2), (-2, 3), (2, 4)} 

Yes, the domain does not repeat.

200

Algebra: simplify: 4(6ac - 3) + 5ac

Algebra: 29ac-12

300

Algebra: Solve for a: abc = 2h

Algebra: a = 2h/bc

400

Simplify: a(b - c) - 2a(c + b)

-1ab - 3ac

500

Algebra: What's the domain of a exponential function? 

All Real Numbers

Slope Intercept/Linear Equations

100

Algebra: What is the slope-intercept of a linear equation perpendicular to y = 2/3x+9

-3/2

200

Write the following equation in slope-intercept form:  6(x + 3y) = 12

y = -1/3+2/3

300

Write an equation in point-slope form with a slope of 1/5 and passes through the point (2, -6).

y + 6 = 1/5 (x - 2)

400

Write an equation parallel to the equation y = 2x+3 and goes through the point (-8, 1) in slope-intercept form.

y = 2x+17

500

Write an equation perpendicular to y = -0.25x + 3 and goes through the point (5, -2) in slope-intercept form.

y = 4x-22

Systems of Equations

100

Julia traveled to Argentina and Chile for a total of 16 days.  In Argentina, she learned 125 new words per day.  In Chile, she learned 140 new words per day.  She learned a total of 2145 words.  Write a system of equations using x for Argentina and y for Chile.

x + y = 16

125x + 140y = 2145

200

Solve the following system of equations:

6x − 12y = 24 

−x − 6y = 4

(2, -1)

300

Solve the following system of equations:

x + 7y = 0 

2x − 8y = 22

(7, -1)

400

Solve the following system of equations:

−8x − 10y = 24 

6x + 5y = 2

(7, -8)

500

If two lines intersect, then the solution to the system is:

a.  One solution

b.  Infinitely Many Solutions

c. No solution

One solution

Exponents

100

Gerry buys a car for $12,000.  It depreciates at a rate of 8% per year.  Write an equation to find the cost of the car after x years.

y = 12000(0.92)^x 

y = 12000(1-0.08)^x

200

Simplify (4⁵)²

4¹⁰

300

 Factor the following polynomial.

x² -5x - 24

 

(x-8)(x+3)

400

Find the product of (x - 2)(x² + 3x -4)

x³ + x² - 10x +8

500

Factor the following polynomial.

25x²-64

(5x+8)(5x-8)

Solve Equations

100

Solve the equation: 

x²-5=44

x = 7

200

Solve the equation.

2(x-5) = 12

x=11

300

Solve: 

4(x+3)-11=5x

x = 1 

400

Solve the equation.  

-3x-1+5x=8x-4

x = 1/2 or 0.5

500

Solve the equation. 

2(8x+4) = -2(x+3)

x = -7/9

Random

100

Can you start the EOC and finish it on a different day?

No!  

200

How many hours do you get for the Algebra EOC?

8 hours (a full school day)

300

What happens if you don't pass the Alg1 EOC?

You will retake it during the summer.

400

On what day is the Algebra EOC?

Tuesday, April 23

500

Can I pass high school without passing the EOC?

No