Algebra 1 Common Core Student Edition, Grade 8-9

(Marvins-Underground-K-12) #1

Lesso n Ch eck


Do y o u k n o w H OW?


Solve each proportion.


1.

3.

b = 4
6 5
w + 3

15
x
w
2 x + 1


  1. Music A b a n d w en t to a recording studio an d
    recorded 4 songs in 3 h. How long w ould it take the
    b an d to record 9 songs if they record at th e sam e rate?


_ _ MATHEMATICAL
Do yo u UN DERSTAN D? PRACTICES
Vocabulary Use the proportion ™ Identify the
following.

6. t h e e x t r e m e s


  1. th e m ean s

  2. t h e c r o s s p r o d u c t s

  3. Reasoning W hen solving | = |, Lisa’s first step
    was to write 4x = 5(3). Jen’s first step was to write
    2o(f) = 2o(|). Will b o th m eth o d s work? Explain.


Pr act i ce an d Pr o b l em - So l v i n g Ex er ci ses


Practice

MATHEMATICAL
PRACTICES

Solve each proportion using the Multiplication Property of Equality.





14.

4
' 5
3__x_
16 12





15.

4
9 = JL
2 25

x
26


  1. 120 24


13.

See Problem 1.
m 3

17 ^ - = -u_
15 125

Solve each proportion using the Cross Products Property.

18.v 13 19.^15

22- -Jr =b I 6 23 - P 10 = —^


■j n 3 30
8 — m
2&— = — 4 22

See Problem 2.

25.-5

Solve each proportion using any method.


  1. b + 4^7


30.k-2

2 = 2
3
_ 5
8

27.

31.3b+ 4 b -4

28.

32.

3 c + 4
7 35
q + 2 2 q^11

29.

^ See Problem 3.
2c c - 3
11


  1. _1 = 4 2 7

  2. Gardening A gardener is tran sp lan tin g flowers into a flow erbed. She h as b e e n See Problem 4.
    working for an h o u r a n d has tran sp lan te d 14 flowers. She has 35 m ore flowers to
    transplant. If she works at the sam e rate, how m any m ore h o u rs will it take her?

  3. Florists A florist is m aking centerpieces. He uses 2 dozen roses for every
    5 centerpieces. How m any dozens of roses will he n e e d to m ake 20 centerpieces?


3 6. Picnics If 5 lb of p asta salad serves 14 people, how m u ch p asta salad should you
bring to a picnic w ith 49 people?

c


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