Algebra 1 Final Exam 2021 Review

Linear Functions

100

What is the name of y=mx+b ?

Slope Intercept Form

200

What is the point indicated by y+2=3(x-1) ?

(1 , -2)

300

What are the x and y intercepts of -2x+3y=24

(-12,0) and (0,8)

400

What is the equation of the line that goes through the following two points: (-2,9) (4,3)

y=-mx+7

500

What is the equation of the line parallel to y=3x+6 through (-2,7) ?

y=3x+13

Systems of Equations

100

What method should you use to solve the following system: 

y=2x+4

3x+5y=-12

Substitution

200

What method should you use to solve the following system?

3x+6y=14

-3x+2y=2

Elimination

300

Solve the following system:

3x+6y=14

-3x+2y=2

( (2/3), 2)

400

Solve the following system:

y=(2/3)x+3

4x+3y=-9

(-3,1)

500

Solve the following System: 

5x+3y=-12

5x+3y=-3

NO SOLUTION

Things We Forget

100

Simplify

n⁰

1

200

Write the slope intercept form of the equation. 

6x-2y=8

y=3x -4

300

What are the x and y intercepts?

-7x+2y= -14

(2,0) and (0,-7)

400

Simplify the following expression. 

(-7xy)(x⁴y^-2z⁷)(2x^-2y³z⁰)

-14x³y²z⁷

500

The fence around a triangular shaped playground is 3x²+8x-4. Two sides have lengths of 2x-2 and x²+3. What is the length of the third side?

2x²+6x -5

Polynomials

100

Name the following Polynomial:

2x³+6

cubic binomial

200

Simplify and write the following equation in standard form:

(m³+7m²+7m)-(7m-2m³-7m²)

3m³+14m²

300

Find the Product.

-3x(6x²-4x+2)

-18x³+12x²-6x

400

Find the Product.

(4v -6)(8v²+4v -3)

32v³ -32v² -36v+18

500

The perimeter of triangle is x² + 8x − 9. Two of the sides have the following lengths: 2x + 3 & x² . What is the length of the third side? 

6x-12

Factoring

100

Find the GCF.

12x³+4x² -6x

2x

200

Factor.

x²-7x+12

(x-3)(x-4)

300

Factor.

2x²+23x+63

(2x+9)(x+7)

400

Factor. 

400n² -4

4(10n+1)(10n -1)

500

Factor.

140x³+168x² -20x -24

4(7x² -1)(5n+6)