Pythagorean Theorem
Systems of Equations
Word Problems
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100

Pythagorean's Theorem

What is a2+b2=c2?

100

y = -2x + 7

y = 2x - 3

What is (1,5)?

100

John has a ramp with a horizontal distance of 20 feet and a vertical distance of 5 feet.  What is the distance of the diagonal? 

What is 20.616 feet?

100

Point A (-4, 7) is transformed by the rule (x, y)->(x-4, y-3).  The new point is.

What is (-8, 4)?

100

Rule for reflection across x axis.

What is (x, y) -> (x, -y)?

200

32+42=c2

What is 5? 

200

y=3x+5

-2x+4y=30

What is (1,8)?

200

A 15 foot ladder will lean against a wall.  The ladder is 4 feet from the wall.  The ladder reaches how high? 

What is 14.457 feet? 

200

Point B (4, 7) is transformed by the rule (x, y)->(x, -y).  Give the coordinate of the new point.

What is (4, -7)? 

200

Rule for reflection across y = x axis.

What is (x, y) -> (y, x)?

300

62+82=c2

What is 10? 

300

4x + 2y = -1

3x  - 2y  = 8

 What is (1, -2.5)?

300

Frank ordered 3 burgers and 2 hotdogs for $8.  Lucy ordered 2 hotdogs and 1 burger for $6.  What is the cost of a burger and hotdog? 

What is $1 for a burger and $2.50 for a hotdog?
300

Point C (-10, 6) is transformed by the rule (x, y)->(y, x).  Give the coordinate of the new point.

What is (6, -10)?

300

Rule for translation 4 units left and 5 units up. 

What is (x, y) -> (x - 4, y + 5)?

400

x2+162=202

What is 12?

400

-3x + 6y = 6

3x  - 4y  = 12

What is (16, 9)?

400

Faith and Justin started at the same spot.  Faith walked 3 miles north and 4 miles east.  Justin walked 4 miles south and 3 miles west.  How far are they from each other? 

What is 9.899 miles? 

400

Point D (4, 7) is transformed by the rule (x, y)->(2x, 2y).  Give the coordinate of the new point.

What is (8, 14)?

400

4x + 27 < 3x + 12

x < -15

500

22+42=c2

What is 4.472?

500

3x + 2y = 7.75

2x + 3y = 8.50

What is (1.25, 2)?

500

Daniel and Darla bought 10 points of tasty treats.  Gummies cost $4.50 a pound while chocolates cost $6.  They spent $50.25 on the treats.  How many pounds of each did they get? 

What is 3.5 pounds of chocolate and 6.5 pounds of gummies? 

500

Point E (-2, 3) is transformed by the rule (x, y)->(4x-2, -2y+3).  Give the coordinate of the new point.

What is (-10, -3)?

500

4(x - 3) - 3(2x - 6) > 13

x < -3.5