Pre-Algebra 1st Semester Review

Numbers

100

Is -9 rational or irrational?

Rational

200

Is 3.1589109581293587...rational or irrational?

Irrational

300

Is 

-3/10 rational or irrational?

Rational

400

Is 

sqrt36  rational or irrational?

Rational.

sqrt36 = +/-  6

500

Write one rational and one irrational number. Explain the difference.

Rational: Can be written as a fraction, terminating/repeating decimal, zero, or a perfect square/cube.

Irrational: Number that cannot be written in fraction form and is not a perfect square/cube.

Answer may vary.

Exponents

100

What is 2⁵?

32

200

What is (-5)⁴?

625

300

What is -5³?

-125

400

What is 7^-3?

1/343

500

What is 9^-5/9^-7?

81

Solving Equations

100

Solve for x.

2x + 3 = 43

X = 20

200

Solve for y:

-5y - 4 = 46

y = -10

300

Solve for r:

2r - 3(2r - 3) + 4 = 33

r = -5

400

Solve for p:

2(2p + 2) - 4(p - 5) = 18

no solution

500

Solve for k:

3/2k + 1/2(k - 4) = 6

k = 4

Solving Equations with Variables on Both Sides

100

Solve for s:

6y - 7 = -3y + 2

y = 1

200

Solve for n: 

14 + 3n = 8n - 3(n - 4) 

n = 1

300

Solve for p:

-6(-p + 8) = -6p + 12

p = 5

400

Solve for f:

3/8f + 1/2 = 6(1/16f - 3)

No solution

500

Solve for t:

1/3(t + 6) - 10 = -3t + 2

t = 3

Slope

100

What variable do we use for slope?

m

200

What is the slope formula?

(y₂ - y₁) / (x₂ - x₁)

or  change in y/change in x

300

Find the slope of the line that passes through the points (0, -4) and (6, -2)

m = 1/3

400

Find the slope of the line that passes through the points (-4, 2) and (9,2).

m = 0

500

Find the slope of the line that passes through the points (-6, -3) and (-8, -9).

m = 3