modified jeopardy. if you are playing with a partner, decide how many points you think the question...
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Modified Jeopardy
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If you are playing with a partner, decide how many
points you think the question is worth
BEFORE you solve.
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True or False:5 less than n =
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False: n less than 5
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Write an expressionfor five less than the
productof a number n and 8
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8n -5
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True or False:n is an algebraic
expression
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True!It has a coefficient (1)
and a variable (n)
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Write an algebraic expression for:
the quotient of the product of two and n
and m
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2n m
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Write a word expressionfor this:
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Answers vary!Sample: The quotient of
six and three multiplied by the sum of six and three
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The FIRST step in evaluating an algebraic expression is called the
_____________step
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The FIRST step in evaluating an algebraic expression is called the
substitution step
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Evaluate when n = -3:3n – (-7)
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3(-3) – (-7)(-9) + 7
-2
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Evaluate when n = -3and r = -2:
(nr)2
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((-3)(-2))2
(6)2
36
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Evaluate when n = -2 :
(n – 3)(n – 4) ÷ (-3n)
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(n – 3)(n – 4) ÷ (-3n)((-2) – 3)((-2) – 4) ÷ (-3(-2))(– 6)(– 6) ÷ (6)(36) ÷ (6)6
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Evaluate when n = -4and p = 2:
(3n + 9 - np)n + 2p
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(3n + 9 - np)n + 2p
(3(-4) + 9 - (-4)(2))-4 + 2(2)
(-12 + 9 - (-8))0
1(Trick! Anything to exponent 0 is one )
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We solve equations by using these operations
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INVERSE operations
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n + (-7) = 8
What do you do to solve
this?
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n + (-7) = 8 +7 +7 n = 15
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What do you do to solve
this?
-4n = -12
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-4n = -12-4 -4
n = 3
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a – (-9) = -4
What do you do to solve
this?
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a – (-9) = -4 -9 -9
a = -13
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Tell 3 things you could do to both sides
of this equation to solve it:
-x = 8
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Divide both sides by -1OR
Multiply both sides by -1OR
Add x then subtract 8 from both sides
-x = 8
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– 3 + 2j = 4
What is the “wrapping
paper”?
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– 3 + 2j = 4
The “wrapping paper” is -3.
In other words, -3 is the FIRST term that you ‘cancel out’.
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-2b – 3 = -19
Solve
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-2b – 3 = -19 +3 +3
-2b = -16-2 -2
b = 8
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-8 – 3x= -17
Solve
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-8 – 3x= -17+8 +8
-3x = -9 -3 -3
x = 3
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1.2k – 6 = 6
Solve
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1.2k – 6 = 6 +6 +6
1.2k = 12 1.2 1.2
k = 10
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2(-3p + 6) = -18
Solve (hint: it’s 3 steps!)
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2(-3p + 6) = -18 2 2
-3p + 6 – 6 = -18 – 6-3p = -24-3 -3
p = 8
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In most word problems “of” means what operation?
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In most word problems “of”
means MULTIPLICATION
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Write an equation:
4 less than twice a number n is 6
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4 less than twice a number n is 6
2m – 4 = 6
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Two-thirds of a number n, decreased
by 3, is 12
2n/3 – 3 = 12
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The quotient of a number n and -8,
less 5, is 25
n/(-8) – 5 = 25
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Write an equation then solve:
Jim is 2 years less than twice his sister’s age. If Jim is 12 how old is
his sister?
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2a – 2 = 12 -2 -2
2a = 122 2a = 7