Lesso n Ch eck

Do y o u k n o w H OW?

Solve each equation. Check your answer.

`1.5*+12 = - 1 3 2. 6 = y - 3`

- y — i-^ = -2 4. -* -4 = 9
- Fundraising The ju n io r class is selling granola bars to

raise m oney. They p u rc h ased 1250 granola bars an d

paid a delivery fee of $25. The total cost, including

the delivery fee, was $800. W hat was th e cost of each

granola bar?

`Do y o u UN DERSTAN D? @ PRACTICES`

What properties of equality would you use to solve each

equation? What operation would you perform first?

Explain.

`6. - 8 = | + 3 7. 2*-9 = 7`

8. | - 8 = 4 9. -4* +3 = -5

(j^ 10. Reasoning Can you solve the eq u a tio n = 6 by

adding 3 before m ultiplying by 5? Explain.

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

`Practice Solve each equation. Check your answer.`

11. 2 + |= -1

- 4b + 6 = —2
- 26 = t? + 5

12. 3n — 4 = 11

16. 10 = f - 8

20. 18 = 2

`MATHEMATICAL`

PRACTICES

- -1 = 7 + 8 *
- 10 + | = 1
- -5 * -2 = 13

`See Problem 1.`

`6 5`

`Define a variable and write an equation for each situation. Then solve.`

- Maximum Capacity A delivery p e rso n uses a service elevator to b ring boxes of

books up to an office. The delivery p e rso n weighs 160 lb a n d each box of books

weighs 50 lb. The m axim um capacity of th e elevator is 1000 lb. H ow m any boxes of

books can th e delivery perso n bring u p at one time? - Shopping You have $16 an d a c o u p o n for a $5 d isco u n t at a local superm arket.

A bottle of olive oil costs $7. How m any bottles of olive oil can you buy? - Rentals Two college friends rent an ap artm en t. They have to pay th e landlord

two m o n th s' re n t a n d a $500 security deposit w h en they sign th e lease. The total

a m o u n t they pay th e landlord is $2800. W hat is th e rent for one m onth?

14. | + 2 =-8

18. - 1 4 = - 5 + 3c

22. 14= -2 k+3

`See Problem 2.`

`Solve each equation. Check your answer.`

26.

`y-4`

10 27. 7 =* —^8

- 7‘2^1 * + 3 2 31. ^ 5 = -1

`Solve each equation. Justify each step.`

- 14- b= 19 35. 20-3 b = 2

`28.`

`32.`

`z+ 10`

9

-2

`2`

d-7

- 3 * 2 '

`29.4 =`

`33.^-`

`See Problem 3.`

a + 10

2

3 _ 5

3

`See Problem 4.`

- -l= 4 + f

L

`P o w e r A lg e b r a .c o m ^ | Lesson 2-2 So l v i n g Tw o - St e p Eq u a t i o n s 91`