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 equation for the given variable.


  1. —2x + 5y = 12 fory 2. a - 2b = - 1 0 fo rb

  2. m x + 2nx = p for x 4. C = | ( F — 32) for F

  3. Gardening Jonah is planting a rectangular garden.
    The p erim eter of th e garden is 120 yd, an d th e w idth
    is 20 yd. W hat is the length of the garden?


MATHEMATICAL
Do y o u UN DERSTAN D? PRACTICES
Vocabulary Classify each equation below as a formula,
a literal equation, or both.
6. c = 2d
8. A = ^bh


  1. y = 2x - 1

  2. P=2( + 2w

  3. Compare and Contrast How is the process of
    rew riting literal equations sim ilar to th e process of
    solving eq u atio n s in one variable? How is it different?


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

Practice Solve each equation for y. Then find the value of y fo r e a c h v a lu e o f x. 4^ See Problem 1.



  1. y + 2x = 5; x = —1,0,3
    13. 3x- 5y = 9;x= —1, 0 ,1
    15. 5x = —4y + 4; x = 1, 2, 3

  2. x - 4y= - 4 ; x = - 2 , 4 , 6


Solve each equation for x.


  1. mx + n x = p


22 -y= V


  1. 2y + 4x = 8 ; x = - 2 , 1 , 3

  2. 4x = 3y - 7; x = 4 ,5 , 6

  3. 2y + 7x = 4; x = 5, 10, 15

  4. 6 x = 7 - 4y; x = —2, —1, 0


See Problem 2.


  1. A = B xt + C


20. ax - x = c


  1. S = C + xC

  2. 4(x -b )= x


21 .rx + s x.


(^24 1) a = (^1) b



  1. P^ = 2y — i


Solve each problem. Round to the nearest tenth, if necessary. Use 3.14 for it.



  1. W hat is th e radius of a circle w ith circum ference 22 m?

  2. W hat is th e length of a rectangle w ith w idth 10 in. a n d area 45 in.2?

  3. A triangle has height 4 ft a n d area 32 ft2. W hat is th e length of its base?

  4. A rectangle has p erim e te r 84 cm an d length 35 cm. W hat is its width?

  5. Parks A public park is in th e sh ap e of a triangle. The side of the
    park th a t forms th e b ase of th e triangle is 200 yd long, a n d th e area
    of the p ark is 7500 yd2. W hat is the length of th e side of th e park
    th a t form s th e height of th e triangle?


^ See Problem 3.

200 yd

112 Ch ap t er 2 So l v i n g Eq u a t i o n s

Free download pdf