m@th midterm $tudy guide

inequalities

100

solve

4x-36 is greater than -36

x is greater than 0

200

solve

3x²+32 is less than or equal to 41

xis less than or equal to 1

300

give let x statement and solve

Bob and Jan is having a bake sale he plans on having at least a total of 72 cookies. if Bob makes 37 cookies how many does Jan make?

let x=number of cookies Jan made.

x is greater than or equal to 35 cookies

400

show equation, then solve

the difference between 11 and 1/4 of a number is no less than -8.

equation: 11-1/4x is greater than or equal to -8

x is greater than or equal to 76

500

Solve and give a let x statement

Joe and Bob are playing ping pong. Joe scores 15 more than 5 times Bob's score. If they have a total of 1311. How many points did Joe score?

let x=Bob's score

let 5x+15= Joe's score

x is less than or equal to 216

exponents, scientific notation, and roots

100

solve

3^-3 x 5² x 3⁰

270

200

put in scientific notation

1) 25000000

put in standard form

2)2.3 x 10^-8

1)  2.5 x 10⁷

2)  0.000000023

300

solve

square root of 169

13

400

solve:

cube root of 343

7

500

solve give answers in scientific notation

1) 3.4 x 10⁶+ 5.6 x 10⁵

2) 9.2 x 10⁹ - 11.9 x 10⁸

3) 1.3 x 10⁸ x 7.5 x 10⁵

4) 4.5 x 10⁹ / 2 x 10⁶

1)  3.96 x 10⁶

2) 8.01 x 10⁹

3) 9.75 x 10¹³

4) 2.25 x 10³

Rational and irrational numbers

100

examples of real numbers

-2 

3.457467

5

9/7 .etc

200

name the smallest subset to which the answer belongs

-13

integer

300

rewrite in order from least to greatest

5/9; 0.56; 5.5 x 10^-2; 5^-1; 6%; 5.5 x 10^-1

5.5 x 10^-2; 6%; 5^-1; 5.5 x 10^-1; 5/9; 0.56

400

name the smallest subset to which the answer belongs

the cube root of -342

irrational number

500

 give me 5 numbers for each of these sections 

rational number:

irrational number:

integers:

whole numbers:

natural numbers:

rational: any number that can be on a number line

irrational: any infinite number ex: pie

integer: any positive or negative whole number

whole number: 0-infinite

natural numbers: 1-infinite

PEMDAS and properties

100

solve

3²+5-(6-2)⁴-6

-248

200

solve

square root of 36+9 x 6+(8+13)

81

300

what property is shown below?

5(6+21)=5 x 6+5 x 21

distributive property

400

what property is shown below?

(3+21)-7=7-(3+21)

communitive property of multiplication

500

what property is shown below?

5a² x 1/5a²=1

inverse property of multiplication

exponents and factoring

100

simplify this expression.

27-3k+7k-2

4k+25

200

simplify this expression.

39k+36-9+54k-6k+8

87k+35

300

simplify this expression.

54f+34k-6+3f+9-7k+12-76f-2k

25k-19f+15

400

solve

a⁹ x a²

a¹¹

500

8^-5m⁸n² x 7⁹m^-3n²

56⁴m⁵n⁴