Algebra 2

Solve: 2Z+X=5 Y-Z=-4 2X+3Y=-8

(-7,2,6)

Solve: 8X+2Y-3Z=20 X-5Y+4Z=-22 2X+Y+Z=3

(1,3,-2)

Solve: 2X+Y=5 Z-Y=1 3X+Z=9

(3,-1,0)

x^2+36=0

+- 6i

3x^2+25=0

+-5i/3

4x=9x^2

0, 4/9

4x^2=8x-3

1/2, 3/2

What is the constant of the quadratic that contains the points:(-1,-3), (1,13), (-3,5)?

2

Marsha is buying plants and soil for her garden. The soil cost $4 per bag, and the plants cost $10 each. She wants to buy at least 5 plants and can spend no more than $100. Write a system of linear inequalities to model the situation.

4S+10P<100 p>5

Solve for x 5x^2=25x+120

8, -3

Solve: A+B-2C=4 2A+B+2C=0 A-3B-4C=-2

A=0 B=2 C=-1

Travis runs an average of 25 miles per week, give or take six miles. Let m be the number of miles Travis runs each week.

I m-25 I=6

The amount of pretzels a snack food company fills each bag with must be within three pretzels of the 100 pretzels expected per bag. A quality control inspector must ensure the bags are adequately filled. Let p be the number of pretzels in each bag.

I p-100 I=3

A small group of students is asked to solve the equation I3xI=5x+4. Cheyenne shares the following solution with her group. Identify the error(s) in Cheyenne's work and provide a correct solution. I3xI=5x+4 3x=5x+4 or -3x=-5x+4 -2x=4 or 2x=4 x=-2 or x=2

I3xI=5x+4 3x=5x+4 or 3x=-5x-4 2x=4 or 8x=-4 x=2(no) or x=-1/2(yes)

Tommy has to buy some pens, pencils and notebooks for the upcoming semester. He has $102 to spend on $5 pens, $3 pencils, and $9 notebooks. He would like to spend the same amount of money on pens as on pencils. He also wants the combined number of pens and pencils to be equal to that of notebooks. Write a system of equations that Tommy could use to solve for the amount of each he should purchase.

Pens: A; Pencils: B; Notebooks: C 5A=3B 5A+3B+9C=102 A+B=C

Boris wants to buy pineapples and watermelons. Every pineapple costs $5 and every watermelon $7. He wants to buy a total of at least 16 fruits and spend at most $60. Write(don't solve) a system of inequalities that could be used to solve how many of each fruit Boris could buy.

Pineapple: P; Watermelon: W 5P+7W<60 P+W>16

You want to spend the hour making some desserts for your 8 friends. It will take you 5 minutes to make a waffle and 10 minutes to make a chocolate cake. Write a system of linear inequalities to model this situation.

Waffle time: W; Chocolate cake time: C 5W+10C<60 W+C>8

Solve and graph 4+I1-2XI<7

X<2 and X>-1 (Graph)

Solve and graph I3X-1I>5

X>2 AND X<-4/3 (Graph)

Determine the equation. X: -2, -1, 0, 1, 2, 3 Y:-5, -6, -3, 4, 15, 30

Y=2X^2+5X-3

Solve: 9-b = 1-9b

b=-1

Solve: -10+7p=p

p=2 ; p=5

Adrienne has $6000 invested among a savings account paying 3%, a time deposit paying 4%, and a bond paying 8%. She has $1000 less invested in the bond than in her saving account, and she earned a total of $260 in annual interest. What has she invested in each account?

x:savings 3%; y: deposit 4%; z: bond 8% x+y+z=6000 z=x+1000; -x+0Y+z=-1000 .03x+.04y+.08z=260

The sum of three numbers is 24. Twice the smallest number is 2 less than the largest number, and the largest number is equal to the sum of the other two. Write and solve a system of equations to find each of the three numbers.

x:small; y:medium; z:large x+y+z=24 x+y=z 2x=z-2 x: 5; y:7; z:12

Solve: x+7 -5=x

x=-3; x=-6

Solve 2I4x-1I+5=15

x=3/2(yes) or x=-1(no)

solve and be able to graph I3x-1I=4

x=5/3 and x=-1 (Graph)

A parabola contains the points (-3,-18), (0,3), and (3,6). What is the equation of this parabola in standard form?

y=-x^2+4x+3

Solve -2Iy+5I=-10

y=0(Yes) or y=-10(no)

Write the equation of a parabola in standard form whose roots are at -2 and 1, and goes through the point (3,20).

y=2x^2+2x-4