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Name
Date
MKHJ Puzzle Time
How Can You Turn A Pumpkin Into A Squash?
B
It
JL
'Down/
K
Complete each exercise. Find the answer in the answer column. Write the word
under the answer in the box containing the exercise letter.
2x + 4
SMASH
Simplify the expression.
A.
B.
13x - 2
THE
C.
D.
- 2 x + 6.2
E.
8.r + 13.x
15.Y + 10-6
7;c - 4x + 3
5.3.r - 9 + 7.6.T
6.V - 4x - 2 + 1 \x
AIR
3x + 3
UP
5x + 43
IT
COME
F.
- X
4
+
11 - 5- + -X
2 4
x-4^
2Ax + 2.9
AND
G.
H.
21x
THROW
-1.5x - 7
I.
J.
5(.r -I- 8) + 3
3.6.V - 7 - 5.1x
4 + 8JC 2.2 - 10.t
TOSS
12.9X - 9
IN
+
- X - 9+
6
3--X
3
- x - 6
WILL
DOWN
K. 2.4(A: + 3) - 4.3
7x + 14
SQUASH
70
L. The length of a rectangle is 7 inches and the W'idth is
[x + 2) inches. Write an expression in simplest form
that represents the area of a rectangle.
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Resources by Chapter
15x + 4
IT
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Name
Date
13.2 Puzzle
Time
Wliat Did The Candle Say To The Match?
Write the letter of each answer in the box containing the exercise number.
Find the sum.
Answers
1.
{x + 10) + {x - 14)
2.
(9 - 2x) + (6x + 4)
3.
{3x - 7) + (-4.t - 8)
4.
(2x - 7) + 5(x - 3)
5. 6(-2.3.r - 5) + (4x + 11) 6. (8 - 2x) + 3(4.5x + 9)
7.
1(8 - 4x) + i(9x - 6)
8.
-^(3x + 7) + -(I2x + 20)
Find the difference.
9.
(-3x + 8) - (x + 10)
(5x + 4) - (1 - 2x)
12. (4x - 8) - 4{~6.5x + 5)
10.
11. (3 - 4x) - 3(2.4x - 7)
13.
i(-9x + 18) - j(lO + 15x)
14.
-4x - 2
P. 30x - 28
T. -9.8x - 19
E. X + 2
I. 2x - 4
L. 67x + 70
H. -11.2x + 24
Y. 7x - 22
I. 4x + 13
U.
^(4x + 3) - l(9x + 5)
3 1
u. 4^
4
1
L. -4x + 7
15. -!-(-4x
+
8)
-iSx
12)
2^
-4
Y. 11.5x + 35
16. Your class project involves recycling aluminum cans. After
F. -4x
X weeks, your class has (I3x + 50) aluminum cans. The class
goal is to collect (80x + 120) aluminum cans. How many IV!. 7x + 3
more aluminum cans does vour class need to collect?
0 . - X - 15
6
3
1 D
76
9
16
2
b(&
Big Ideas Math Advanced 1
Resources
by
14
Chapter
11
5
r
8
12
\J P
10
4
H
G.
X +
15
1
13
7
1F
Copyright © Big ideas Learning, L L C
AII
nghts reser/ed.
Name
Date
13.4 Puzzle Time
Did You Hear About...
' Bur
Complete each exercise. Find the answer in the answer column. Write the word
under the answer in the box containing the exercise letter.
-12
PLANET
-60
Solve the equation.
A.
6x = 24
B.
-7a - 35
C.
-3g = -33
D.
-
MOON
-14
GOOD
E.
4
THE
G.
-1.7
EARTH
-56
REALLY
9
ATMOSPHERE
I.
=5
-12
4 = 2b
-l.Sm = 25.2
=
EAT
11
ON
-8
1
F.
-h = -9
H.
32 =
J.
-^ = 5.1
3.7
RESTAURANT
-7
BUT
-32
THE
20.3 = -2.9c
L. -12.6^ = -16.38
M. Tyler has $ 11.25. How many ride tickets can he
buy for himself and his fnends if the nde tickets
cost $1.25 each?
K.
1.3
NO
18.87
FOOD
-13l
-1
THAT
BAD
1.
90
8.3
11
_2
5
ORBIT
HAS
Big Ideas Math Advanced 1
Resources by Chapter
Copyright© Big Ideas Learning, L L C
All rights reserved.
Name
Date
Puzzle Time
What Did One Bowling Ball Say To The Other Bowling Ball?
Write tiie letter of each answer in the box containing the exercise number.
Solve the equation.
7.
2c - 5 = 9
-7x - 3 = 12
5y - 6 = -20
-4p - 5.7 = 11.1
9.
2 + 53k = 18.43
1.
3.
5.
2.
4.
6.
8.
10.
3m + 7 = -8
15 = 4a + 3
9/ + 3.6 = 10.8
-20.3 = 6w + 3.1
7.86 - 2.14 = -42.7
Answers
T.
S.
E.
L.
-5.2
5
-li
5
-2i
7
-7
9
r
iz-i = i
12. 3
8 ?
4 7 7
N.
13. - i + 5e = 14. \4d - 2d = -84
M. -5
3
16. -3(/ - 8) = 32
15. -5g - Ug = 54
P. -217. Kayla's age is 3 less than twice her brother's age.
3
Kayla is 13 years old. How old is her brother? 0 . -3.9
18. Mario spent $23.85 at the bookstore on one book
and some magazines. The book cost $12.60 and theL. 60
magazines cost S2.25 each. How many magazines 0 . -4.2
did Mario buy?
19. Ethan planted a tree that is 37.5 inches tall. If the
tree grows 3 inches each year, how long will it take
for the tree to reach a height of 54 inches?
11.
15
7
4
10
18
1
13 16
17
5
D 0 T S r 0 e Me
96
Big Ideas Math Advanced 1
Resources by Chapter
11 | 2
8
.H 0
14
M.
3
8
0.
3.1
T.
7
N.
0.
1.
A.
D.
R.
6
1
~T2
4
0.8
-3
5.5
19
9
12
A a.0 L
3
u
Copyright t> Big Ideas Learning, L L C
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Name
Date
odd-s
Practice B
identify the terms and like terms in the expression.
1. 1.3.V
-
2.7.r -
Simplify the expression.
2
2. 10
m + 6nr + -m
jjK^ T€0\A^ *. I •130 )C
"55 .
5,
15, 5^
1-^
b + -b
4 - 69x) + 8.2 + 22x
4(5.8
7.
V + 13 - 8(v + 2)
3.
3
5.4x + 3
4.
60w - 15(4 - 8w) + 20
6.
9y - \5y + 12 - 6y
^-{5x+ 9) + |(1 - 9x)
8.
- l v / - 3
9. Write an expression in simplest form that represents
the perimeter of the polygon.
Draw a diagram that shows how the expression can represent the area of a
figure. Then simplify the expression.
T
^ ( 5 + 2)(,r + 3x)
8(3x - 1)
J .
12. Daniele is x years old. Her sister is 5 years older and her brother is half
Daniele's age. Write an expression in simplest form for the sum of their ages.
Jff^13. The length of a rectangularfieldis 30 more than twice its width. Write an
expression in simplest form for the perimeter of the field in tenns of its width w.
14. You buy X packs of pencils, twice as many
|^
\ '^v^'
packs
erasers,
ree times
Ps ^V^/+ #1 "^O
rolls ofoftape.
Writand
e anthexpressi
on as many ^^j^
in simplest form for the total
amount of money you spent.
10.
68
Big Ideas Math Advanced 1
Resources by Chapter
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I
ycc-f
-z'i-f (x^- rs)-h
\j>r^
Name
^il^/w
Qg^g
Enrichment and Extension
Matching
-jD ^"^^
tjijifr eY^v:^
Simplify the expressions on the left by using the Distrimjtlve Property and
combining like terms. Then, match it to an equal expression on the right by
connecting the two with a line.
1.
6x + Ix
2.
14,T - 12 - <c - 3
3.
-5,x: + 14 - X - 2
4.
-3 -5x - 3x + llx + 3
c.
13x - 15
5.
-2(-5 - x) +
d.
2x + 11
6.
7.
8.
9.
10.
X -
X
+1
l.T
1(12) + 4x - (x - 1)
2
6(x^ - 2) + 1 - 16 + X
- X
4^1
2
-f-
4 + 1 - 16 + X
+
g.
h.
5(x^ + x)
X
e.
f.
2
11. x^ + x^+x + x-x^-x^
i.
r
8x
a.
b.
"O^Xt^l
+l
2x
6x-
+
X
- 27
3x
3x + 1
3x + 7
j. -6x + 12
5x2 +5x^
Write an expression containing x-tenns and constants. The v-tcrms should
combine to 7x and the constants should sum to 13.
13. Write an expression containing x^-terms, x-terras, and constants. The
x^-terms should combine to -2x^, the x-terms should subtract to 3x,
and the constants should sum to 3.
12.
Copyright © Big Ideas Learning, L L C
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Big Ideas Math Advanced 1
Resources by Chapter
69
Name
Date
Practice B
0 ^
Find tlie sum.
1.
(5 - i) + (3r T 2)
^rl
3. 2{-5y + 6) + (2y - 8)
5. 5(-0.3.v - 2) + 2(5 - 3.4.0
^ 7. l(-15w - 20) + 1(3 - 4H')
9) +
2.
- 3)
4. 4(2.5g - 4) + 3(1.2g - 2)
6. -{6p - 3) + 1(7/7 + 14)
8. 1(16^' - 24) + 1(2 + lOA:)
9. You are selling tickets to a play. You have sold (3/ + 2) tickets for $5 each
and [It ^ 5) tickets for S7 each.
^ ( S i r t ^ +• ' I ^ d t + S )
a. Write an expression that represents the total number of tickets sold
j
sofar.
3 t + 2 -t
>V l
J
b. Write an expression that represents the total amount of money received
for the tickets that have been sold.
4"t 3 5 * — ^ 2 ^ ' t + ' 4 ' 5 ^
c. When/ = 3, what is the total amount of money received? >\/3/"^ j-zLCT*
Find ttie difference.
10.
(8 - i;) - (5w + 1)
12. (3/z + 4) - 6(5 - I Ah)
14. I(l6y - 12) - l(l8y + 45)
^fr" 11.
(2.x + 7) - 6{5x - 8)
—
X
^ 13. (12 + 7.26) - 3(0.96 - 4) J^-^g^ f
15. |(l2n + 6) -1(10« - 2) (^f) ^
16. You are collecting pairs of socks and toothbrushes for a local charity. After
d days, you have collected {4d + 5) pairs of socks and {3d + 7) toothbrushes.
a. Write an expression that represents the total number of items that have
been collected.
b. How many more pairs of socks than toothbrushes have been collected
on day 7?
74
Big Ideas Math Advanced 1
Resources by Chapter
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Ail riglits reserved
^ 5 "
(sf'S-S)^ + (r- s g - ( ? ' S
Name
'
Date
Enrichment and Extension
^,
Using the Distributive Property
^UlCukMy O^f^
When working with algebraic expressions and the Distributive Property, the
p^||V>fe
exponents of the variables are added.
Example: Simplify x{x + 6).
Distribute x to each term inside the parentheses. (Remember that x can be
rewritten as 1 • x'.) Then, multiply the coefficients.
x{x + 6) = (Ix • Ix) + (Ix • 6)
= (l.r=
• Ix') + (ix'
• 6)
Distibutex to each term.
Rewrite to show exponents.
= Ix'"^' + 6
= X' + 6x
Multiply coefficients and add exponents.
Simplify.
Simplify the expression.
1. x\x + l)
3.
x(x^ - 4)
2. -x(2x-8)
4.
x(3x - 1)
5. 3x(x-l)
6. 2x(x-l)
7. 4x(-4x - 3)
8. n{n - 4)
9. -h{lh + 9)
10. 2vv^-4vy - 14)
11. 2x(4x - 9) - 3x(4x - 2)
13. 4(1 + 1.8/z) + h{21h + 5)
15. i(6z - 6) - ^2(42 + 16)
Copyright © Big Ideas Learning, L L C
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12. 3k{-5k + 21) + 2(2.5A: + 9)
14. lm(10 + 6m) - ^^(lOm + 10)
16. 3^^(24^^ + 6) + 24^/'
Big ideas Math Advanced 1
Resources by Chapter
75
Name
Date
Practice B
Diids.
Solve the equation. Check your solution.
1.
x + \2=m
2.
g ~16
4.
J-
5.
y + 4.003 = -3.14
6.
8.
2
1
10- = r + 123
6
9.
12.1 = 7,53
7. 90.8 + q = -18.24
10. - 7 8
= \- + d
11.
f - l
= -52
=
3.
12.
6l
-4.5
= m + \.
b + 4.006 = 9
-10.216 + c = -12.014
6
Write the word sentence as an equation. Then solve.
13. 27 is 12 more than a number r.
p.*^ 3
4-l'Z-
14. The difference of a number/? and - 9 is 12.
15. 35 less than a number m is - 7 2 . '
^
-3r= -72 [^=-37j}
In Exercises 16-18, write an equation. Then solve.
16. You swim the 50-meter freestyle in 28.12 seconds. This is 0.14 second
less than your previous fastest time. What was your previous fastest time?
17. The perimeter of a rectangular backyard is 32— meters. The two shorter
7 32i=ZL+-3(y
sides are each 7 - meters long. .What is the length of the two longer sides?
(Hint:
The sum of the shorter side anc • longer
the perimeter.)
; equal to naif of
18. The temperature of dry ice is -109.3°F, which is 183.6"=? less than the
outside temperature. What is the outside temperature?
19. Your cell phone bill in August was $61.43, which was $21.75 more than
your bill in July. Your cell phone bill in July was $13.62 less than your bill
in June. What was your cell phone bill in June?
^
82
- 10.5 = 4.3
^|
21.
x + 2 - 7 = 5
Big Ideas Math Advanced 1
Resources by Chapter
—i T
—[
3 9 •6
^
.
?
4
Find the values of x.
20.
_
55.30
Copyright 9\n Irlnas Learning,
Of ^^^^
-12-
All rights reserved
'
J *
1
IhJ?
12f =^eg'
SI
y
900 •^-
-21-
i\
I
Name
Date
DddS
Practice B
Solve the equation. Check your solution.
1.
I6t = 60
4.
d = -3.3
1.2
7. -c^ = —
X
10.
5
c=
21 28
2.
-Up = -21
3.
5.
-Ik = -4
15
6. -7.24,? = 17.014
8.
1.5 = 3.3>
9.
i
11.
-9
^ = -7.35
0.003
= -1
12.
In Exercises 13 and 14, write an equation. Then solve.
= -2.8
3
18 = h
11
^ 1 3 . You order an entree for $12.00. You pay $0.78 in taxes. What
^
taxrate?
R t ^ ^ , - ? ^
-fc =» 0*0(^6' f^Hth
8
14. If a project is handed in late, you receive - of your earned points. You
received 72 points on your late project. How many points did you lose?
15. Write a multiplication'equation that has a solution of-14.8.
Y^AHS U
n
16. Write a division equation that has a solution1of
417. There are 92 students in a room. They are separated into 18 groups. How
many students are in each group? How many students are not in a group?
18. A bus token costs $1.75.
a. You spend $15.75 on tokens. Write and solve an equation tofindhowmany tokens you purchase.
b. If you purchase 10 tokens, you get 2 free tokens. Write and solve an
equation tofindthe approximate reduced price of each token.
c. You also receive tree tokens if you purchase 20 tokens. The reduced
price for each token is $1.40. Write and solve an equation tofindhow
many free tokens you receive.
Solve - = 2.
3
88
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Resources by Chapter
^
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WO
^1
-il
IL- = W
T6 = ^
show i\m
Name
Date
odds-
Practice B
Solve the equation. Check your solution.
1.
4.
7.
10.
R=3
8 =7
13 - 2n 27
84 = 51 - Up
1 3
4/j + - = 3 4
-
2.
5.
^g-
8.
11.
65 + 9 = -15
25 = 4.52 + 12
81 + 7r = 81
7
4-'43
^2 14
In Exercises 13 and 14, write an equation. Then solve.
3.
6.
9.
-3.2w - 2 = -4.5
5.255 - 2.01 = -8.94
16 +2.4c = 22.5
.12.- —M
, 1 +3- =1 2 5 6
(jet s-*of
13. You purchased $ 132.49 worth of wheels and bearings for your skateboards. ^y^jXt. ijCOA^^
The shop charges S15 per board to install them. The total cost is $ 192.49.
7
How many skateboards will be repaired? ,
J 'S^S ~ tjt* ly
14. A music download service charges a flat fee each month and $0.99 per
download. The total cost for downloading 27 songs this month is $42.72.
How much is theflatfee?
Solve the equation. Check your solution.
15. -5x
5x -2x
-2x ++ 3x
2,x==>—~5{m
> — - S f / w+ +4) 4)= =2727
-H-"^ UiW)
17. -12(a - 2) = -50
/
-iz^^-n ^^^^
18. The perimeter of aTaangie is 60 feet. One leg is 12 feet long. Of the two
unknown sides, one of them is twice as long as the other. Find the lengths
of the two unknown sides.
19. Sally picks seashells by the seashore. She lost 17 of them on her way home.
She planned tofill5 jars with the same amount of seashells in each. How
many seashells did Sally pick?
a. You do not have enough information to solve this problem. The number
of seashells in each jar is the same as the number portion of her street
/>Q
address, which is a 2-digit number. Thefirstdigit is 5. The last digit is )^ - 3[Sj
9 less than 3 times thefirstdigit. How niany seashells did Sally plan to
M
put in each jar?
^Ota saiiy plan ^o : r
b.
c.
By working backwards, determine how many seashells Sally picked.
The 5 jars that Sally chose would not each hold that many seashells.
In her search for a 6th jar, she discovered a few seashells in her pocket.
What are possible values for the number of seashells in each of the
6 jars and the number of seashells discovered in her pocket, such that
lhe„a« no seashells left over? ^^ ^^^h^^ 3
^
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94
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Resources by Chapter
I
»
5^ 53
43'j) = ?
3_
, \l cMt-^
Name
'
V
VJ
Date
Enrichment and Extension
Solving Equations with Fractions
3.rio_n 4 ~ = 5- will
1. If you multiply each term by this number, the equat
5
contain no fractions. What number could this be?
2. Are there other numbers you can multiply by to rewrite the equation in
Exercise 1 without fractions? Explain.
3. What number do you think is best to use at the multiplier? Explain.
4. Why can you multiply each term and not change the solution of the
equation?
5. Describe to someone how to rewrite an equation with fractions so that
there are no fractions left in it.
6. Solve each equation by rewriting it without fractions first.
5=
a.
c.
e.
-
8
4
^ 1 x 5
2
=3 4 6
6— = 5x
9 3
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= 34 2 4
^ 2 x 9
b.
d. — + -
= —
7 2 14
f.
=—
6
3
Big Ideas Math Advanced 1
Resources by Chapter