Systems of Equations

Solving for y

100

Solve for y

2x+y =5

y=-2x+5

200

-6x+3y=36

y=2x+12

300

8y-24x=80

y=3x+10

400

0.3x+0.5y=3.5

y=-3/5x+7

500

-5x-2y=-8

y=-5/2x+4

Writing Systems

100

The perimeter of a rectangle is forty inches. The length is two inches more than three times the width.
 

2L + 2w = 40
L = 3w + 2

200

You have a total of 17 coins.  All of your coins are nickels and dimes.  The total value of the coins is $1.35.  Which system of equations represents this situation?
 

n+d=17
.05n+.10d=1.35

300

Nancy went to the grocery story. On Monday she purchased 4 apples and 6 bananas for a total of $13. On Wednesday she purchased 3 apples and 7 bananas for a total of $13.50. Which system of equations represents the situation?

4x + 6y = 13
3x + 7y = 13.5

400

The Maplewood Symphony Orchestra sold 146 tickets and collected a total of $1036 in ticket sales. Admission was $5 for children and $8 for adults. Write two equations that would be used to solve the system.
 

c+a=146
5c+8a=1036

500

David is running a concession stand at a soccer game. He sells nachos and sodas. Nachos cost $1.50 each and sodas cost $0.50 each. At the end of the game, David made a total of $78.50 and sold a total of 87 nachos and sodas combined. Which system of equations represents this situation?
 

1.5N+0.5S=78.5
N+S=87

Solving Systems

100

What is the solution to the system?

(-3, -3)

200

Solve by Equal Values Method:

y=9x-2

y=7x

(1,7)

300

y=-4x

2x-5y=44

(2,-8)

400

Solve the system of equations

-6x-10y=4

6x+10y=0

No solution

500

Solve by substitution:

y=4x-9

-7x-6y=-39

(3,3)

Graphing Inequalities

100

Does y > 3x+4 have a solid or dotted line?

Dotted

200

For y < 2x+1 , do we shade above or below the line?

Below the line

300

Which graph represents the inequality,   y < x − 2 ?

 

 

400

Write the inequality for the graph.

 

y >2x + 2

500

Which points are in the solution set for the inequality,  y ≥ 1/5x+1 ?

 

A, B, and C

Solving Inequalities

100

What is the difference between ≤ and < ? 

≤ means that the line is included in the solution set whereas < means the line is not included.

200

Is the origin (0,0), a solution to the inequality?

Yes

300

Which of the following points is a solution,

(0,0) , (-4,-6) , (2,-1) or (0,3) ?

(0,3) is a solution because the line is included.

400

Which system of inequalities matches the graph? 

a) x> -2      b) x<2     c) x ≥ 2     d) x>2
    y < -4         y>4         y ≤ 4         y≤ -4

d) x > 2 and y ≤ -4

500

Identify all solutions for the graph

(2, 3)
(4, -2)
(2, -4)
(-2, 0)

 

(4, -2) and (2, -4)