8th Grade Review Prep

Solving

100

-2x+10=-16

x=13

200

5x-3=2x+9

x=4

300

3+4x=2(2x-7)

no solution

400

y=3

2x-4y=12

(12, 3)

500

y=-2x

x+3y=20

(-4,8)

Exponents

100

x³x⁵

x⁸

200

x⁶ / x⁴

x²

300

convert to scientific

34,500

3.45x10⁴

400

convert to scientific

0.0042

4.2x10^-3

500

x⁵x⁴ / x¹²

1 / x³

Geometry

100

Two legs of a right triangle are 5cm and 12cm. Find the hypotenuse

13 cm

200

V=(pi)r²h

cylinder has a height of 4cm and radius of 5cm. Find the volume. Use 3.14 for pi.

314 cm³

300

A triangle has sides 4in, 5in, 6in.

Is it a right triangle? Prove with work

No Pythagorean is not equal

400

cone V= 1/3 (pi) r² h

Find the volume of a cone with diameter 10 cm and height 15 cm. Use 3.14 for pi.

392.5 cm³

500

If two angles of a triangle are 50 and 60 degrees.  What is the measure of the third angle?

70

Triangle = 180 degrees

Linear

100

solve for y

-2x+4y=12

y= 1/2 x + 3

200

Compare the slopes:    A>B    A=B    A<B

A. y=2x - 10

B (3, 4)(5, 8)

Slopes are Equal A=B

300

Find the slope of the line parallel to 

y=-3x + 9

parallel slope: -3

400

Find slope

(-3, 4)(-5, 8)

slope: -2

500

Draw a sketch of a nonlinear graph

Any graph that is not a line is nonlinear

Irrational/Rational

100

Name an irrational number that is not pi

Any number that is a square root that is not a perfect square

ex.  root 2

200

Solve

x² = 16

x =4, x=-4

two solutions

300

x²=52

x= root 52, - root 52

400

6.2 < square root X < 6.3

Find X

x = 39

500

Name three perfect squares

4, 9, 16, 25, 36, 49, 64, 81, 100...