Lesso n Ch eck
Do y o u k n o w H OW?
Solve each equation for the given variable.- —2x + 5y = 12 fory 2. a - 2b = - 1 0 fo rb
- m x + 2nx = p for x 4. C = | ( F — 32) for F
- 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- y = 2x - 1
- P=2( + 2w
- 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 PRACTICESPractice 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.
- y + 2x = 5; x = —1,0,3
13. 3x- 5y = 9;x= —1, 0 ,1
15. 5x = —4y + 4; x = 1, 2, 3 - x - 4y= - 4 ; x = - 2 , 4 , 6
Solve each equation for x.- mx + n x = p
22 -y= V- 2y + 4x = 8 ; x = - 2 , 1 , 3
- 4x = 3y - 7; x = 4 ,5 , 6
- 2y + 7x = 4; x = 5, 10, 15
- 6 x = 7 - 4y; x = —2, —1, 0
See Problem 2.- A = B xt + C
20. ax - x = c- S = C + xC
- 4(x -b )= x
21 .rx + s x.
(^24 1) a = (^1) b
- P^ = 2y — i
Solve each problem. Round to the nearest tenth, if necessary. Use 3.14 for it.
- W hat is th e radius of a circle w ith circum ference 22 m?
- W hat is th e length of a rectangle w ith w idth 10 in. a n d area 45 in.2?
- A triangle has height 4 ft a n d area 32 ft2. W hat is th e length of its base?
- A rectangle has p erim e te r 84 cm an d length 35 cm. W hat is its width?
- 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 yd112 Ch ap t er 2 So l v i n g Eq u a t i o n s