Download Algebra Chapter 2 jeopardy block a - Shoemaker-Math

Write &
Solve
When Is It
The Same?
Solving For
A Variable
Mystery
Numbers
Proportions
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p +(– 5) = – 21
p +(– 5) = – 21
+5
+5
p = -16
Check it.
-16 + (-5) = -21
–4x – (–3) = 29
–4x – (–3) = 29
-4x + 3 = 29
-3 -3
-4x = 26
x = 26/-4
x = -13/2 = -6.5
3
 t  36
5
3
 t  36
5
5
3
5
   t  36  
3
5
3
36  5
t 
 12  5
3
t  60
Check it .
3
  60  3  12  36
5
Stan grew 5 1/4 inches last
year and is now 57 3/8
inches tall. Write and
solve an equation to find
his height at the beginning
of last year.
x + 5 1/4 = 57 3/8
x + 5 2/8 = 57 3/8
-5 2/8 -5 2/8
x = 52 1/8 inches
Maggie’s brother is three years
younger than twice her age.
The sum of their ages is 24.
Write and solve an equation to
find Maggie’s age.
x = Maggie’s age
2x – 3 = Brother’s age
x + 2x -3 = 24
3x – 3 = 24
+ 3 +3
3x = 27
x=9
Maggie is 9 years old.
In Florida, the temperature
is 69˚F and is rising 2˚F per
hour. In California, the
temperature is 84˚F and
falling 3˚F per hour. When
will the temperature in both
places be the same?
69 + 2h = 84 – 3h
+ 3h
+3h
69 + 5h = 84
-69
-69
5h = 15
h=3
In 3 hours,
the temps are the same.
Sully and Jo are collecting
silly bands. Sully has 47
and gets 5 new bands a
week and Jo has 23 and
gets 8 new bands a week.
When will they have the
same amount?
47 + 5x = 23 + 8x
-23
-23
24 + 5x = 8x
-5x -5x
24 = 3x
x=8 weeks
In 8 weeks, they will have the same
amount of silly bands.
A repair company charges
$150 plus $40 per hour.
Another company charges
$270 plus $25 per hour.
For how many hours of
service will both
companies cost the same?
150 + 40x = 270 + 25h
-25h
-25h
150 + 15h = 270
-150
-150
15h = 120
h = 8 hours
At 8 hours, the companies will
charge the same amount.
You have a choice of two
jobs. One pays $29,500 with
a raise of $3,000 per year.
The other pays $35,500 with
a raise of $1,500 per year.
How long before both jobs
pay the same amount?
29500 + 3000y = 35500 + 1500y
-1500y
-1500y
29500 + 1500y = 35500
-29500
-29500
1500y = 6000
15y = 60
y = 4 years
In 4 years, the jobs will pay
the same amount.
Crazy Shirts sells t-shirts
for $8.00 and charges
$13.00 for shipping. T’s 4
All sells t-shirts for $7.50
each and $16.00 for
shipping. For how many
shirts is the cost the same?
What is the cost?
8t + 13 = 7.5t +16
-13
-13
8t = 7.5t + 3
-7.5t -7.5t
0.5t = 3
t = 6 shirts
Cost = 8*6 + 13 = 48+13 = 61
Or Cost = 7.5*6+ 16 = 45 + 16 = 61
At 6 shirts, both companies charge $61.
Solve for a.
a3
c
b
a = bc - 3
Solve for w.
v
9
w
v
w
9
Solve for F.
F  E V  2
F  2  E V
Solve for h.
5h  g  jk
jk  g
h
5
Solve for l.
1
V  lwh
3
3V
l
wh
3 times a number plus 8 is
the same as 5 times the
number minus 18.
3x +8 = 5x -18
+18
+18
3x + 26 = 5x
-3x
-3x
26 = 2x
x = 13
13 is the mystery number.
3 times a number plus 5 is
the same as 73 minus the
number. What is the
number?
3x +5 = 73-x
+x
+x
4x + 5 = 73
-5 -5
4x = 68
x = 17
17 is the mystery number.
Two numbers have a sum
of 27. The larger number is
3 more than 3 times the
smaller. Find the numbers.
Smaller number = x
Larger number = 3x + 3
3x + 3 + x = 27
4x +3 = 27
-3 -3
4x = 24
x=6
3x + 3 = 21
The numbers are 6 and 21.
Two numbers have a sum
of 41. One number is 9 less
than the other. What are
the numbers?
Larger number = x
Smaller number = x - 9
x + x -9 = 41
2x - 9 = 41
+9 +9
2x = 50
x = 25
x-9 = 16
The numbers are 16 and 25.
The sum of 3 consecutive
odd numbers is -15. What
are the 3 numbers?
First # = x
Second # = x +2
Third # = x + 4
x + x + 2 + x + 4 = -15
3x +6 = -15
-6 -6
3x = -21
x = -7
The numbers are -7, -5 and -3.
Solve.
5 x 1

6 12
60 = 6(x+1)
60 = 6x + 6
-6 -6
6x = 54
x=9
Solve.
16 b  4

2
3
48 =2(b+4)
48 = 2b + 8
-8
-8
40= 2b
b = 20
Solve.
4
10

y  2 5y
20y = 10(y+2)
20y = 10y+20
-10y -10y
10y = 20
y=2
Solve.
y  7 31

y  2 11
31(y+2) = 11(y+7)
31y + 62 = 11y + 77
-62
-62
31y = 11y + 15
-11y -11y
20y = 15
y = 15/20 = 3/4
Solve.
2x  3 2

4x  2 4
4(2x-3) = 2(4x-2)
8x – 12 = 8x – 4
-8x
-8x
-12 = -4
No solution