Calculator Skills 2

INPUT EACH EQUATION INTO YOUR CALCULATOR AND PRESS GRAPH

THEN FIND THE ORDERED PAIR SOLUTIONHOLD UP YOUR CACLULATOR WHEN YOU HAVE

THE SOLUTION

y = 3x 6 y = 2x + 4

• INPUT INTO y1 AND y2

• GRAPH

• 2ND

• TRACE (CALC)

• 5 (INTERCEPT)

• ENTER, ENTER, ENTER

(2,0)

• y1 = 3x 6 y2 = 2x + 4

4x – 2y = 8 y = 7x + 5

• INPUT INTO y1 AND y2

• GRAPH

• 2ND

• TRACE (CALC)

• 5 (INTERCEPT)

• ENTER, ENTER, ENTER

(1, –2)

• y1 = (8 – 4x)/ – 2 y2 = 7x + 5

3x + 6y = 12 y 3 = 2(x 2)

(1.2 , 1.4)

• y1 = (12–3x)/6

• y2 = 2(x 2) + 3

y + 1 = 4(x 2) y = 6x 10

(.5 , –7)

• y1 = 4(x 2) – 1

• y2 = 6x 10

5x – y = 2 – x + y = 2

(1 , 3)

• y1 = (2– 5x)/ – 1

• y2 = (2 + x)/1

2x + 2y = 6 – 2x + 3y = –1

(2, 1)

• y1 = (6 – 2x)/ 2

• y2 = (–1 + 2x)/ 3

– 2y – 2x = – 8 2y – 3x = – 2

LOOK AT WHERE THE “X” AND “Y” ARE LOCATED IN PROBLEM

(2, 2)

• y1 =( – 8 +2x )/–2y2 =( – 2 + 3x)/ 2

4y = 3x – 2 3x + 2y = – 10

(–2, –2)

• y1 = (– 2+3x)/4

• y2 = (– 10 –3x)/2

4x + (–2y) + x = 2 6x + 2y = – 4

(-.181818, –1.454545)

• y1= (2 – 4x –x)/ –2

• y2 = (– 4 – 6x)/2

2x + 2y ≤ 6 y ≥ x + 1

• FOR INEQALITIES INPUT EQ. INTO y1 AND y2• USE LEFT SCROLL ARROW TO MOVER

CURSER TO EXTREME LEFT• PRESS ENTER UNTIL YOU GET THE UP

RIGHT TRIANGLE ( GREATER THAN) • OR PRESS ENTER UNTIL YOU GET THE

DOWN RIGHT TRIANGLE (LESS THAN)• PRESS GRAPH• LOOK FOR DOUBLE SHADED REGION • FIND POINT OF INTERSECTION

Left double shaded with (1,2) intercept

• y ≤ (6 – 2x)/2

• y ≥ x + 1

x ≥ – y + 2 y – 3x < 2

• REMEMBER TO REVERSE (OR FLIP ) THE INEQUALITY WHEN DIVIDING OR MULTIPLYING BY A NEGATIVE “–” NUMBER

SHADED LEF: (0,2)

• y1 ≤ (x – 2)/ –1

• y2 < (3x+ 2)

3x + 2y > 6 y < 2(x – 2)

SHADED RIGHT: (2,0)

• y1 > (6 – 3x)/2 y2 < 2(x – 2)

y – 3 ≤ 2(x – 1) x > – 2(y – 1)

Upper Right double shaded: (0,1)

• y1 ≤ 2(x – 1) + 3

• y2 > (x – 2)/–2

2y ≥ – 2x + 4 – y – 3 > 2(x – 4)

TOP LEFT DOUBLE SHADED: (3, – 1)

• y1 ≥ (– 2x + 4)/2

• y2 < (2(x – 4) + 3)/ –1

– 3x + 2y ≤ 3 y > – 3

REMEMBER: SINCE NO “x” IN SECOND INEQALITY, JUST PLACE –3 INTO y2

TOP RIGHT DOUBLE SHADED:(–3, –3)

• y1 ≤ (3 +3x)/2

• y2 > – 3

• END