Learn Your Math

Quadratic Functions

100

f(x)=x^2-3, for x use -2,-1,0,1,2. Solve for x and y. DO NOT GRAPH.

-2^2-3=-1 (-2,-1) -1^2-3=-2 (-1,-2) 0^2-3=-3 (0,-3) 1^2-3=1 (1,1) 2^2-3=2 (2,2)

200

f(x)=x^2+x-2, for x use -2, -1, 0, 1, and 2. Solve for x and y. DO NOT GRAPH.

-2^2+(-2)-2=0 (-2,0) -1^2+(-1)-2=-2 (-1,-2) 0^2+(0)-2=-2 (0,-2) 1^2+(1)-2=0 (1,0) 2^2+(2)-2=4 (2,4)

300

What is the positive x-intercept of the quadratic function f(x)=x^2+2x-63

7

400

f(x)=x^2/3-1. For x use -3, 0, and 3. find out what y is [example; (x,y)] DO NOT GRAPH

-3^2/3-1=-4 (-3,-4) 0^2/3-1=-0.5 (0,-0.5) 3^2/3-1=2 (3,2)

500

what is the difference between a linear function and a quadratic function?

A linear function is when the solution set can be drawn as a line. A quadratic function is when there is a parabola or a curved line.

Simplifying Algebraic Expressions

100

9x+3-4x

What is 5x+3

200

6x+2+3x+6q

What is 9x+6q+2

300

a+ba=98 7q=98 7 7

What is q=14

400

Simplify. 6(4L+7k)+14

24L+42k+14

500

2(3x-7)=76

x=15

System of Equation

100

y=3x+6 y=x+2 solve.

y=0 x=-2

200

y=x+1 y=2x-1

y=1 x=0

300

y=5x-3 y=-3x+13

y=-7 x=-5

400

y=3x+8 y=-7+3x

no solution

500

x+1.5y=7.4 3x-0.5y=-6.8

x=-1.3 y=5.8

Properties of Exponents

100

multiply. write the product as one power. 5^6* 5^9

5^12

200

Divide. write the quotient as one power. a^8/a^-1

a^9

300

Simplify (5^0)^8

5^0

400

simplify. a^6* b^9

stays the same

500

Find the missing exponent. b^_*b^4=b^8

b^4

Algebraic Expressions

100

Translate into words. 7/8-x

Seven divided by the difference of eight and x

200

wright in number phrase 6 times the sum of 4 and y

6*(4+y)

300

translate into words 22 --- -37 r

22 divide r minus 37

400

write down two different algebraic expressions for the word phrase" 1/4 the sum of x and 7"

1: 1/4 * (x+7) 2: (x+7) ------- 4

500

Write an expression for the sum of 1 and twice the number. If you let n be any odd number, will the result be any odd number?

No the result won't stay odd.