Algebra Benchmark

Slope

100

What is Slopes Formula

y=mx+b

200

What is the perpendicular slope to a line with a slope of 0

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300

What is the slope of the lines through the points (1/2  3/4) and (-1/3  5/4).

-3/5

400

What is the slope of the line through the points (2 , 5) and (-4 , 5).

0

500

What is the slope of the line through the points (-9 , 4) and (-9 , -2).

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Distributive Property

100

3(7+4)=3(11)

33

200

5(9-6)=(9)-5(6)

15

300

5(6+2)=5 X 6+5 X 2

40

400

(4)(7+2+3)=4 X 7+4 X 2+4 X 3

48

500

(5+7+3)X 4

60

Combining Like Terms

100

8+4x+1-12+5x

9x-3

200

5-2(x²-4x-3)

-2x²+8x+11

300

5(2x+3)-6

10x+9

400

-4x+7x-1x=18

x=9

500

-9x+8y-x-5y+3x

-7x+8y

Linear Equations

100

6x - 19 = 3x - 10

x = 3

200

5 - 2(x - 1) = 4(3 - x) - 2x

 x = 5/4

300

x/2 + x/3 = x - 7

x = 42

400

 2/(x + 3) = 3/(5 - x)

x = 1/5

500

(2x + 5)/(x + 4) = 1

 x = -1

Exponent Rules

100

3² ⋅ 4² = (3⋅4)²

144

200

2⁵ / 2³ = 2^5-3 

4

300

4³ / 2³ = (4/2)³

8

400

(2³)² = 2^3X2

64

500

43/2=(√4)3=23

8