Lesso n Ch eck
Do y o u k n o w H OW?
- Is (2, 4) a s o lu tio n o f th e e q u a tio n y = x - 2?
- Is (-3 , -9 ) a solution of the equation y = 3x?
- D r in k s a t th e f a ir c o s t $ 2 .5 0. U s e a ta b le , a n e q u a tio n ,
and a graph to represent the relationship between the
num ber of drinks bought and the cost. - Exercise On a treadmill, you burn 11 C a l i n 1 min,
22 C a l i n 2 m in , 33 C a l i n 3 m in , a n d so o n. H o w m a n y
C a lo r ie s d o y o u b u r n i n 10 m in?
MAtHEMAIlCAL
Do y o u UN DERSTAN D? PRACTICES- Vocabulary D e s c r ib e t h e d if f e r e n c e b e tw e e n
in d u c tiv e reasoning and deductive reasoning.
0 6. C o m p a r e a n d C o n t r a s t How is writing an equation
t o r e p r e s e n t a s it u a t io n in v o lv in g t w o v a r ia b le s
s i m il a r t o w r i t i n g a n e q u a t io n t o r e p r e s e n t a s it u a t io n
i n v o l v i n g o n ly o n e v a r ia b le? H o w a re t h e y d iffe r e n t?
@ 7. Reasoning Which of (3,5), (4, 6 ), (5 ,7 ), a n d ( 6 , 8 )
are solutions o f y = x + 2? W h a t is th e p a tte rn in th e
solutions of y = x + 2?
Pr act i ce an d Pr o b l em - So l v i n g Ex er ci ses
MAtHEMATICAL
PRACTICES1 ^ 1 P ra c tic e Tell whether the given equation has the ordered pair as a solution.
8. y = x + 6 ; ( 0 , 6 ) 9. y = 1 - jc; ( 2 , 1 )- y = 6x; (3,16) 12. -x = y; (-3.1,3.!)
- y x + 3; ( l, 3 ) 1 5. y = x - 1 ; ( 2 , l | )
Use a table, an equation, and a graph to represent each relationship.
1 7. T y is 3 y e a rs y o u n g e r t h a n B ea.- The num b e r o f checkers is 24 tim es the n u m b e r o f checkerboards.
- The num b e r o f triangles is 5 th e n u m b e r o f sides.
- G a v in m a k e s $ 8 .5 0 f o r e a c h la w n h e m o w s.
^9 See Problem 1.- y = —x + 3; (4,1)
- y = -4x; ( - 2 , 8 )
- f = y; (-10, -2 )
49 See Problem 2.Use the table to draw a graph and answer the question- The table shows the height in inches o f stacks
o f tir e s. E x te n d t h e p a t t e r n. W h a t is th e
height of a stack of 7 tires?
Stacks of Tires
49 See Problem 3.- T h e t a b le s h o w s th e le n g t h i n c e n tim e te r s o f
a s c a rf y o u are k n ittin g. S uppose th e p a tte rn
c o n tin u e s. H o w lo n g is th e s c a r f a fte r 8 days?
Knitted Scarf
112.5
21 4.5
31 6.5
41 8.5
W' f T-WP1-; '. HBHIICh ap t er 1 Fo u n d at i o n s f o r A l g e b r a