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Rational & Irrational

100

A rational number is any number that can be written as a _________.

Fraction

200

Is 5.6 a rational or irrational number?

Rational

300

Is the square root of 31 rational or irrational?

Irrational

400

Find the square root of 40 to the nearest tenth. You may NOT use a calculator.

6.3

500

Order the following numbers from least to greatest.

I'll write it on the board so it is easy to read:

√12, 5/2, pi, 3.5

5/2, pi, √12, 3.5

Algebraic Equations

100

Solve for x:

2x-5 = 25

15

200

Solve for y:

8y + 7 = 2y -5

y=-2

300

How many solutions are there to the following equation?

4 (2x + 6) =3x + 19 +5x + 5

Infinite Solutions

400

Solve for a when b = 9

3b + 4 (2b - 3) = 5a

a = 17.4

500

Solve for x in terms of y:

4x -3y = 20 + 5y

x = 5 + 2y

Exponents & Scientific Not.

100

What is 4^3 in expanded form?

4 * 4 * 4

200

Evaluate 5^4

You may NOT use a calculator

625

300

Simplify:

a³b⁴ *a¹²b¹⁴ / b²

a¹⁵b¹⁴

400

Multiply (Make sure your answer is in Scientific Notation)

(5.2 * 10¹¹) * (3.4 * 10⁷)

1.768 * 10¹⁹

500

Subtract (Make sure your answer is in Scientific Notation)

(8.64 * 10⁸) - (3.2 * 10⁷)

8.32 * 10⁸

Slope-Intercept Form

100

Identify the y-intercept in the equation:

y = 2x - 3

The y-intercept is -3

200

Write an equation for a line that has a y-intercept of 6 and is parallel with the line y = 4x -2

y = 4x + 6

300

What is the slope of a line that goes through the points (2,5) and (-4, 6)

- 1/6

400

Write an equation for a line that is parallel to the line y = -4x + 23 and passes through the point (1,6).

y = -4x + 10

500

Write an equation for a line that is parallel to the line 2x + 3y = 12 and passes through the point (12,10).

y = -2/3x + 18

Pythagorean Theorem

100

What is the length of the hypotenuse of a right triangle with legs of 4in and 3in?

5in

200

Find the missing length of the triangle. I will draw it.

Leg 1 = 15cm

Leg 2= x

Hypotenuse= 17cm

8cm

300

Which of the following sets of numbers could be the measurements of a right triangle?

4, 10, 18

21, 20, 29

14, 17, 20

21, 20, 29

400

Kendall just went down the slide at the playground. She walks 6 feet to get from the end of the slide back to the ladder. Then she climbs 8 feet to the top of the slide again. How long in the slide?

10 ft

500

A gopher has dug holes in opposite corners of a rectangular yard. One length of the yard is 15 meters and the distance between the gopher's holes is 17 meters. How wide is the yard?

8 meters