8th Grade STAAR Math Review

Pythagorean Theorem

100

The only kind of triangle that can use the Pythagorean Theorem.

right triangle

200

The longest side of a right triangle.

 the hypotenuse

300

What is the hypotenuse of a right triangle with legs of 5 and 12?

13

400

The equation that will prove the sides lengths 4cm, 5cm and 3cm will form a right triangle. (MUST say with the side lengths in the equation.)

3² + 4² = 5²

500

What is the leg of a right triangle with a hypotenuse of 10cm and a leg of 6cm?

8cm

Functions

100

What is the linear equation and the slope formula?

Linear Eq.is y=mx+b

Slope is m= y2-y1/x2-x1

200

The slope of the equation y=-5x+4

-5

300

What is the slope of the line passing through the points (25,60) and (75, 210)

m=3

400

Ture or False: The points {(5, 2), (1, 2), (3, 2), (-4, 2)} make a function.

TRUE

500

This x-value will make the following NOT a function: {(?, -2), (1, -4), (3, 9), (5, 7)}.

 1 or 3 or 5

Volume

100

What does big B stand for in volume formulas?

Area of the base

200

What is the volume formula for a cone and a pyramid?

V= 1/3 Bh

300

What is the volume of the pyramid with a height of 17cm and a triangular base with height of 10cm and a base of 12cm?

V=340in³

400

If the volume of a cylinder is 3,015.93 and the radius is 8, what is the height of the cylinder?

h=15

500

What is the volume of a sphere with a radius of 15m

V=14137.17m³

Equations

100

10x=40

x=4

200

5x-45=-15

x=6

300

60h-50=100

h=2.5

400

30x - 50 = 1,450

x=50

500

1/3x+10=13

x=9

Transformations

100

What transformation is this (x, y)-->(kx, ky)

dilation

200

Point (5, 12) is rotated 180 degrees clockwise. What is the new point?

(-5, -12)

300

The only transformation that does not preserve congruence.

dilation

400

(x, y)-->(y, -x)

90 degree rotation clockwise or 270 counterclockwise

500

Point (5, 12) is translated 4 units to the right and 6 units down. What is the new point?

(5+4, 12-6)---->(9, 6)