Math Final Project & Review

Arithmetic Sequences

100

-WHAT ARE THE NEXT 3 TERMS IN THE SEQUENCE?

-WHAT IS THE COMMON DIFFERENCE?

4, 10, 16, __, __, __

COMMON DIFFERENCE: d = 4

NEXT TERMS: 20, 24, 28

200

IF THE FIRST TERM IS 90 AND THE NEXT 2 TERMS ARE 133 AND 176, WHAT'S THE COMMON DIFFERENCE?

D = 43

300

FIND THE 15th TERM.

5, 9, 13, ....

15th TERM: 61

5 + (15 - 1) x 4 = 56 + 5 = 61

400

WHAT TERM WOULD -10 BE IN THE SEQUENCE?

20, 17, 14, .......

-10 IS THE 11th TERM

500

IF AN ARITHMETIC SEQUENCE HAS 24 AS THE FIRST TERM AND A COMMON DIFFERENCE OF 12, WHAT IS THE 7th TERM?

7th TERM : 71,663,616

Linear or Non Linear

100

WHAT IS A LINEAR EQUATION?

THE EQUATION y = mx + b FORMS A STRAIGHT LINE.

200

 y = 3x + 9 

LINEAR OR NON-LINEAR?

LINEAR 

300

WHICH ONE IS NON LINEAR?

A) y = 8x - 4

B) y = 14x² + 7

C) y = -11x + 3

A) y = 18x - 4

B

- THIS FORMS A PARABOLA

400

LINEAR OR NON-LINEAR? 

y = x² - 4x + 3

NON-LINEAR

500

IS THE TABLE LINEAR?

x         1         2        3        4 _______________________________

y         2         5        10       17

NON-LINEAR

- the differences aren't consistent to make a straight line.

Rational or Irrational

100

RATIONAL OR IRRATIONAL?

5/2

RATIONAL

-2.5

200

RATIONAL OR IRRATIONALITY?

Square root of 16

RATIONAL 

- 4

300

RATIONAL OR IRRATIONAL?

Square root of 18

IRRATIONAL

-not a perfect square, and it can't be written as fraction

400

RATIONAL OR IRRATIONAL?

Square root of 2 + 3

IRRATIONAL

-An irrational number added to a rational number is irrational

500

RATIONAL OR IRRATIONAL?

Square root of 49 / pi

IRRATIONAL

- The square root of 49 is rational, but pi is irrational. An irrational number divided by a rational number is irrational.

Solving Inequalities

100

SOLVE

x + 5 < 12

x < 7

-subtract 5 from both sides

200

SOLVE

2x - 3 > 7

x > 5

- Add 3 to both sides, the divide both sides by 2

300

SOLVE

x/4 +2 > 5

x>12

- subtract 2 then multiply by 4

400

SOLVE

-3x + 4 < 1

x > 1

- subtract 4 and divide by -3 to flip the innequality.

500

MAKE AN INNEQUALITY THAT MATCHES THE WORD PROMBLEM.

Annabella has saved up $500, shes going to a Christmas party and the gift limit is $60. 

60 ≤ x ≤ 500

Sys. of Inequalities

100

DOES A LESS THAN OR EQUAL TO LINE SOLID OR DOTTED?

WHICH SIDE IS SHADED?

ABOVE OR BELOW

SOLID & BELOW

200

x +  4 > 9

IS (8,4) A SOULTION OF THIS INQUALITY?

YES

300

2x - 3 ≥ 7 

IS (6,5) A SOULTION FOR THIS INNEQUALITY?

YES

400

WHICH INEQUALITY IS A SOLUTION TO 

y ≥ x + 1   and   y ≤ 2x + 5  ?

A) (6,4)

B) (4,3)

C) (8,8)

D) (5,9)

D) (5,9)

500

WHICH INEQUALITY IS A SOLUTION TO 

y >2x - 1   and   y ≤ 3x + 2 ?

A) (1,2)

B) (4,5)

C) (2,9)

D) (1,10)

A) (1,2)