Modified Jeopardy

If you are playing with a partner, decide how many

points you think the question is worth

BEFORE you solve.

True or False:5 less than n =

False: n less than 5

Write an expressionfor five less than the

productof a number n and 8

8n -5

True or False:n is an algebraic

expression

True!It has a coefficient (1)

and a variable (n)

Write an algebraic expression for:

the quotient of the product of two and n

and m

2n m

Write a word expressionfor this:

Answers vary!Sample: The quotient of

six and three multiplied by the sum of six and three

The FIRST step in evaluating an algebraic expression is called the

_____________step

The FIRST step in evaluating an algebraic expression is called the

substitution step

Evaluate when n = -3:3n – (-7)

3(-3) – (-7)(-9) + 7

-2

Evaluate when n = -3and r = -2:

(nr)2

((-3)(-2))2

(6)2

36

Evaluate when n = -2 :

(n – 3)(n – 4) ÷ (-3n)

(n – 3)(n – 4) ÷ (-3n)((-2) – 3)((-2) – 4) ÷ (-3(-2))(– 6)(– 6) ÷ (6)(36) ÷ (6)6

Evaluate when n = -4and p = 2:

(3n + 9 - np)n + 2p

(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 )

We solve equations by using these operations

INVERSE operations

n + (-7) = 8

What do you do to solve

this?

n + (-7) = 8 +7 +7 n = 15

What do you do to solve

this?

-4n = -12

-4n = -12-4 -4

n = 3

a – (-9) = -4

What do you do to solve

this?

a – (-9) = -4 -9 -9

a = -13

Tell 3 things you could do to both sides

of this equation to solve it:

-x = 8

Divide both sides by -1OR

Multiply both sides by -1OR

Add x then subtract 8 from both sides

-x = 8

– 3 + 2j = 4

What is the “wrapping

paper”?

– 3 + 2j = 4

The “wrapping paper” is -3.

In other words, -3 is the FIRST term that you ‘cancel out’.

-2b – 3 = -19

Solve

-2b – 3 = -19 +3 +3

-2b = -16-2 -2

b = 8

-8 – 3x= -17

Solve

-8 – 3x= -17+8 +8

-3x = -9 -3 -3

x = 3

1.2k – 6 = 6

Solve

1.2k – 6 = 6 +6 +6

1.2k = 12 1.2 1.2

k = 10

2(-3p + 6) = -18

Solve (hint: it’s 3 steps!)

2(-3p + 6) = -18 2 2

-3p + 6 – 6 = -18 – 6-3p = -24-3 -3

p = 8

In most word problems “of” means what operation?

In most word problems “of”

means MULTIPLICATION

Write an equation:

4 less than twice a number n is 6

4 less than twice a number n is 6

2m – 4 = 6

Two-thirds of a number n, decreased

by 3, is 12

2n/3 – 3 = 12

The quotient of a number n and -8,

less 5, is 25

n/(-8) – 5 = 25

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?

2a – 2 = 12 -2 -2

2a = 122 2a = 7