ALGEBRA 1 SEMESTER REVIEW

SLOPE

100

Find the slope of the line whose equation is y=-2x+7

-2

200

Find the slope of the equation whose line is y-9=7(x+5).

7

300

What is the slope of the line containing the points (0,8) and (-5,8)?

0

400

What is the slope of the line containing the points (7,5) and (-2,9)?

-4/9

500

What is the slope of the line containing the points (3,10) and (3, -5)?

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DEGREE OF POLYNOMIAL

100

What is the degree of the monomial 7

0

200

What is the degree of the monomial 7x⁹?

9

300

Find the degree of the polynomial 5x+9

1

400

What is the degree of 8x³+2x²+5x-9?

3

500

What is the degree of -9x³+5?

3

LINES

100

Write the equation of the vertical line going through the point (5,7).

x=5

200

Write the equation y=-2x+9 in standard form. 

2x+y=9

300

Write the equation of the line passing through (1,5) and (4, 5).

y=5

400

Write the equation of the line passing through (-1, 6) with slope 10. Write in slope intercept form. 

y=10x+16

500

Write the equation of the line passing through (-2,4) and (3,7). Write in slope intercept form. 

y=(3/5)x+26/5

FACTORING

100

Factor x²-121

(x+11)(x-11)

200

Factor x²+14x+49

(x+7)²

300

Factor 24y²-150

6(2y-5)(2y+5)

400

Factor 12x³y²+75xy²

3xy²(4x²+25)

500

Factor 27x³-125y3

(3x-5y)(9x²+15xy+25y²)

DIVISION OF POLYNOMIALS

100

Find the quotient: 

28𝑥⁵𝑦¹⁴/49𝑥⁹𝑦¹².

4y²/7x⁴

200

Divide (18x³y-36xy²)/(-3xy)

-6x²+12y

300

Find the quotient:

(x²+9x+20)/(x+5)

(x+4)

400

Use Synthetic Division to find the quotient and remainder when (2x³+3x²+x+8) is divided by (x+2).

2x²-x+3 remainder 2

500

Find the quotient (8a³+27)/(2a+3)

4a²-6a+9