8th Grade Math Review *

Linear Functions

100

What is slope intercept formula?

y=mx+b

200

What is the slope of a line through points (4, 10) and (-2, 8)?

1/3

300

What is another name for slope?

Rate of change, unit rate, m, constant of proportionality

400

I pay $50 to rent a car and $1.50 per mile.  Write an equation in slope-intercept form to represent this situation.

y = 1.5x + 50

500

How can you determine if the graph of a line is proportional?

Goes through the origin

Exponents

100

What is 1,0000⁰

1

200

Write the number below in scientific notation

.000452

4.52 x 10^-4

300

Write 5.76 x 10⁴  in standard form

57,600

400

Simplify completely.  (x⁴y³)(x^-6y)

y⁴/x²

500

Simplify Completely.   (a³b⁷)/(a⁶b³)

b⁴/a³

Expressions

100

4x + 9y - 8x + 2y

-4x + 11y

200

Simplify. -5(3x + 8)

-15x - 40

300

What do you call the number attached to a variable?

Coefficient

400

Simplify.  4(2x - 3) - 2(5x - 8)

-2x+4

500

What property says the following:   (4)(3) = (3)(4)

Commutative

Roots

100

x²=81

x=9 and -9

200

What is the cube root of 64?

4

300

What is the inverse of squaring?

square rooting

400

Name 5 Perfect Squares

Answers will vary

500

The volume of a cube is 512.  What is the length of a side?

8

Geometry

100

All the angles in a triangle should add up to what degrees?

180 degrees

200

What is the sum of the exterior angles of a triangle?

360

300

What are the 4 transformations?

Translation, dilation, rotation, reflection

400

Draw 2 parallel lines cut by a transversal and label 2 pairs of corresponding angles.

See picture

500

What is the length of the hypotenuse when the legs are 10 and 15?  You can round if needed

Approximately 18

Equations

100

Name 2 pairs of inverse operations

Add/Subtract; Multiply/Divide; Square/Square Root; Cube/Cube Root

200

Solve.   -5x - 10 = 20

x = -6

300

Give an example of an equation with variables and numbers that has infinitly many solutions.

Answers will vary

400

Solve.  3(2x + 1) = 10x - 4x + 2

No Solution

500

Solve.  4(6 - 2x) + 2(x - 1) = -2

x = 4