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 expression for five less than the product of 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

2nm2nm

Write a word expression for 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)

Evaluate when n = -3 and r = -2: (nr) 2

((-3)(-2)) 2 (6) 2 36

Evaluate when n = -2 : (n – 3)(n – 4) ÷ (-3n)

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

Evaluate when n = -4 and p = 2: (3n np) n + 2p

(3(-4) (-4)(2)) (2) ( (-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) = n = 15

What do you do to solve this? -4n = -12

-4 n = 3

a – (-9) = -4 What do you do to solve this?

a – (-9) = a = -13

Tell 3 things you could do to both sides of this equation to solve it: -x = 8

Divide both sides by -1 OR Multiply both sides by -1 OR 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 = b = b = 8

-8 – 3x= -17 Solve

-8 – 3x= x = x = 3

1.2k – 6 = 6 Solve

1.2k – 6 = k = k = 10

2(-3p + 6) = -18 Solve (hint: it’s 3 steps!)

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

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 = a = 12 2 a = 7