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X
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Name
Date
3. In math class, there are fOUT students
students
in each group.
Complete
the chart relating the number of
4. On the last math test, Miss Cline added 7 points to the test grades of students who won the review
and number of groups needed.
game.
Complete the chart relating original test grades and test grades after the bonus.
a.
a.
~ OF STUDENTS
ORlO.GRADE
HOFGROUPS
GRADE AFTER
BONUS
b.
Graph the ordered pairs in the chart from part a on the graph below. Remember
to label
b.
your axes and set the intervals.
Graph the ordered pairs in the chart from part a on the graph below.
your axes and set the intervals.
!
j
I
I
I
j
I
,
-
to label
I
!
~
Remember
...
=++
,
-If-l-
~tt
,
!
i
-
i
--i-T
l-.
c.
Write an equation
for this situation:
G=
B
=
_
c.
Write an equation for this situation:
d.
Jackie earned an 88 on the test. What was her grade after the bonus points were added?
e.
Michael's
_
d.
If Miss Cline has 28 students
in her class, how many groups will she need?
_
e.
If Miss Cline has eight groups, what is the largest number of students she can have?
grade after the bonus points Were added was 85. What was his original
test grade?
Nunc
D~,
_
2. Raniqua's sister, Amy. is three years younger than RBo.iqua. Complete
Raniqua's age to Amy's age.
Creating Table9, Graphs, & ,,Eqllatlons
a.
'J: Kelli niilke-s SS.OOper hour at her after school job. Complet~ Ibecllart relating the hours Kelli
worked and !he pay that she received. .
the chart relating
. ' ..
RAN1QU,
AMY
a.' HOURS
"
PAY
b.
Graph the ordered pairs in the chart from part a on the graph below, Remember
your axes and set the intervals.
b.
Gl1IJlh the ordered pairs in the chart
axes and set the intervals.
from part a on the graph below. Remember 10 label your
.
+
to label
I I I I I I I I I I 1+-
l-I-f---1--I--+-+-I-.-+--l--+-1-1-
c.
Write an equation for this situation:
d.
lfKel1i worked 40 hours in a week, how much money will she make?
e.
If Kelli earned $105, how many hours did she work?
~d~f~
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P=
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COS+
L( a..nd. RCfJu~'c<\
~ D\lt>S "F ea.(h
e~V~oo:
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_
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S = ._
c.
Write an equation for this situation:
d.
If Raniqua is 14 years old. how old is her sister?
e.
When Raniqua's sister was S years old. how old was Raniqua?
+O'-+K
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Brain Teasers
Babv .Genius .
Directions: Solve each multi-step equation. Find each answer in the answer column on the right and
notice the letter next to it. Write that letter in the blank space above the number of the problem at the:
bottom of the page.
= -5(y ...:.7)
9. 13y + 11
1. 4(n + 3)= 28
Answers
A == ~26
2. 2(t - 3);::: 10
10. -6(x - 2)
= 18
B =-8
C=-7
3. 3 = (x .;..9)- 2
+ 3)
11. -2(a
= 12 + 4a
D=-6
E= -5
4. .6b + 9 = -4b + 29
12. -j -
2U + 9):::: 0
G=-4
H=-3
·13. (3x + 5}+ 31 = -6(2x - 1)
S. -8 + 4m = m ~23
1=-2
L =-1
N
14. 6y - 2(y - 8) = 0
6. (x + 8) = 6
= 1 1/3
0=2
-3
P=4
15.-7(c-9)=O
S=5
7. 4(x - 2) ::::9(x + 3)
T=8
16. 3(p - 3) := 4p - 1
U=9
8. 3(r + I} :::5(r - 3) + 8
Y=45
Question: Why did the mother think that her baby was a mathematical
parrot died?
16
5
7
6
16
6
16
3
15
8
5
8
6
2
11
genius after their
5
-,
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1
4
10
3
14
13
12
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4
9
Focus: Solving multi-step equations .
#2039 Pre-Algebra Brain Teasers
38
©Teacher Created Resources, Inc.
Name
------------------Checking Solutions to Two-Variable Equations
Complete each problem and SHOW WORK for EACH answer choice!
I) Which ordered pair is a solution to y = -3x + 1
A. (-2,6)
B. (0, -1)
C. (-2, 7)
D. (3, -10)
2) Which ordered pair is not a solution to y = Yzx + 3
A. (10, 8)
B. (-2,2)
C. (-6, 0)
D. (8, -1)
3) Which ordered pair is a solution to y = 3x + 2
A. (-5, -12)
B. (-8, -22)
C. (0, 3)
D. (3, 9)
4) Which ordered pair is not a solution to y = -2x + 4
A. (-4,.12)
B. (5, -6)
c. (0,
D. (-3, 10)
2)
5) Determine if each ordered pair is a solution to the equation:
y = -x + 6
(2,8)
_
(-1,7)
(-3,9)
_
_
(5,-1)
_
(8,-2)
_
For #6 - 9 Create an x-y chart and grapb each function on the back:
6) y=2x - 3
X
Y
7) Y = -x - 2
y
X
-y
\
-2
0
0
-\
-2
\
3
-3
8) y= x/2-1
X
0
4
2
0
-z.
9) y = xl -3 - 2
Y
X
Y
<1
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3
0
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Dram Teasers
------------------------~----------~--~~~---GO, Team; Go!
Directions: Solve each equation. Read the question in the box below. To find the answer, write the
variable from each problem on the blank space that contains the correct answer.
1. 6r-3 =9r-6
6. 4u - 4 = +l Ou + 24
2. 7n + 5 ::::Sn + 10
7. 3a + 2= 11
3. 3b + 18;::: 2b + 12
8. -c -;-.3 - 5 = ~17
4. 3e + 6
= 2e +5
5. a +2 =-2
-5-
9~ -k+(-7)=3k+l
+a
10. -s+ 2
= -38-6
•
Question: What football team is like an advertisement for an expensive vegetable?
-6
2
36
-2
s
-5
-1
3
1
-4
Focus: Solving equations with variables on both sides of the equal sign
© Teacher Created Resources, Inc.
37
#2039 Pre-Algebra Brain Teasers
Why Are Broken Clocks So Quiet?
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12
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Complete the following x-y tables and graph ea~h ordered pair on the provided
graph paper.
1. y=Y2x+3
x
2. y= -2x + 4
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Independent and Dependent Variables in Real Life
1. The height of a plant that grows 25 inches per year
x=
Equation
v=
2. The total cost of jeans if they cost $23 each
x=
Equation
y=
_
3. George's weight ifhe looses 5 pounds per month
x=
_
Equation
y=
_
4. The amount of money that David earns mowing lawns
ifhe earns $14.50 for each lawn
x=
Equation
y=
5. The total amount of rainfall when rainfall is
1 Y2 inches per day
x == -------------r
Equation
y
_
6. The amount of money earned at $7.75 an hour
plus an automatic $8.00
Equation
_
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--
= --------"-
x=
_
y=----------~
_
7. The number of questions a teacher can complete
if they work at a rate of 4 problems per minute and
6 problems are already completed for them
Equation _~
_
x=
_
y=
_
_
8. The account balance in Henry's account ifhe
'x=
-----------puts in $40 per week and had a previous balance of $150
Equation
_
y=
-------------
Name..
K>
1. The total cost of buying gas if
a gallon of gas costs $2
e.~oa.+t()o'\:
--
_
y-=- ------'--x-=-
2. The total cost of grapes that
cost $3 per pound
3. The temperature drops 2 Yz
degrees per hour
-_
'I =- -------x~
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4. The length of hair that grows
Yz inch per month
f..:'"
'i~------=
5. The height of a tree that grows X
6 inches per year
---------
)=6. The total distance a car that
gets 28 mi les per gallon can
travel
x=
7. Total weight loss as a result of )( ::
a diet causes a loss of2
pounds per week.
8. The total amount of water
absorbed from a plant whose
~ -:..
X ::.
roots absorb 4 grams of water \J
per hour.
{
9. The number of problems a
student can complete if they
.work at a rate of 2 problems
per minute.
--......,...------
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~
x =-
"r
::
---;---_
--------------------
to.The total cost of eD's if they )(::.
cost $10 each.
---------