Math 8: Midterm

Rational and Irrational

100

The opposite of -3.41.

3.41

200

Rational or irrational .345345345345...

rational

300

Is the square root of 27 rational or irrational?

irrational

400

The square root of 34 to the nearest tenth.

5.8

500

Rewrite as a fraction:
.2777777777...

5/18

Proportions

100

proportional or non-proportional:

 A straight line that goes through the point (0, 6).

non-proportional

200

The slope of a proportion whose equation is 

y = 2/3 x

2/3

300

The constant of proportionality of a relationship including the point (-6, 3).

-1/2

400

The equation of a proportion whose slope is 6.

y = 6x

500

The equation of a proportional relationship including the points (8, -14) and (-4, 7).

y = -7/4 x

Exponents

100

3³ x 3⁸

3¹¹

200

The number .00000067 in scientific notation.

6.7 x 10⁷

300

x^-3

1 / x³

400

The quotient of 4.8 x 10¹⁷ and 6 x 10⁶.

8 x 10¹⁰

500

(x²y^-3z) / (yz^-3)

(x²z⁴) / (y⁴)

Algebraic Equations

100

2x - 10 = 5x + 23

x = -11

200

3x + 5x + 4 - x + 7 = 88

x = 11

300

3 (x -5) - 4 = 17

x = 4

400

3 (x + 1) = 5 + x

x = 1

500

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

 x = -4

Linear Equations

100

The slope of a line with the equation
y = 4 x - 2

4

200

The y-intercept of a line with the equation
y = 1/3 x - 6.

-6

300

The slope of a line containing the points 

(3, 4) and (8, 6)

2/5

400

The equation of a line with a y-intercept of 12 and slope of 6.

y - 6x + 12 

500

The equation of a line containing the points (-3, 2) and (0, 6)

y = 4/3 x + 6