Algebra 1 Common Core Student Edition, Grade 8-9

(Marvins-Underground-K-12) #1
Ch ap t e r Test M athX L fo r School^
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Do y o u k n o w H OW?
Solve each proportion.
1 8 _12
'■ k 30
, 3_y+1
5 9

Solve each equation. Check your answer.


  1. 3w + 2 = w - 4

  2. |(fc- 1) = 7

  3. 6y = 12.8
    c 5n + 1 3n — 5
    6 --r- = -^ -

  4. Bicycling You are riding your bicycle to p re p are for a
    race. It takes you 12 m in to go 2.5 mi. W hat was your
    speed in m iles p er hour?


The figures in each pair are similar. Find the
missing length.


8.

5 cm


  1. L
    4ft JL
    r 1


3ft

6 ft m


  1. Shadows In th e late afternoon, a 3.5-ft child casts a
    60-in. shadow. The child is next to a telep h o n e pole
    th at casts a 50-ft shadow, form ing sim ilar triangles.
    How tall is the telep h o n e pole?


Tell whether each percent change is an increase or
decrease. Then find the percent change.


  1. original am ount: $5000
    n ew am o u n t: $6500

  2. original am o u n t: 1501b
    n ew am ount: 135 lb


Define a variable and write an equation to model each
situation. Then solve.


  1. Farming You have 100 ft of fencing to build a
    circular sheep pen.
    a. W hat is th e d iam eter of the largest p e n you can
    build? Use 3.14 for tt.
    b. W hat is th e area of th e largest p e n you can build?

  2. Maps The scale on a m ap is 1 i n .: 25 mi. You
    m easure 6.5 in. betw een two towns. W hat is the
    actual distance?

  3. Birds In a bird sanctuary, 30% of th e birds are
    h um m ingbirds. If there are a b o u t 350 birds in
    th e san c tu a ry at any given time, how m any are
    hummingbirds?


Do y o u UN DERSTAND?



  1. Reasoning Explain w hich is m ore accurate:
    m easu rin g to th e n ea rest m illim eter or to th e nearest
    eighth of an inch.

  2. Writing A 30-pack of blank CDs costs $9.50.
    A 50-pack of b lan k CDs costs $13. How can you
    tell w hich is th e b e tte r buy?

  3. Error Analysis Average atten d a n ce at a school’s
    basketball gam es increased from 1000 to 1500 last
    year. O ne stu d en t said th at rep resen ted a 150%
    increase. Explain th e stu d en t's error. W hat was the
    actual percent increase?

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