# 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?

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

1. y — i-^ = -2 4. -* -4 = 9

2. 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``````

1. 4b + 6 = —2

2. 26 = t? + 5
12. 3n — 4 = 11
16. 10 = f - 8
20. 18 = 2

``````MATHEMATICAL
PRACTICES``````

1. -1 = 7 + 8 *

2. 10 + | = 1

3. -5 * -2 = 13

``See Problem 1.``

``6 5``

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

1. 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?

2. 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?

3. 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``````

1. 7‘2^1 * + 3 2 31. ^ 5 = -1

``Solve each equation. Justify each step.``

1. 14- b= 19 35. 20-3 b = 2

``28.``

``32.``

``````z+ 10
9
-2``````

``````2
d-7``````

1. 3 * 2 '

``29.4 =``

``33.^-``

``````See Problem 3.
a + 10
2
3 _ 5
3``````

``See Problem 4.``

1. -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``