Unit 6: Expressions and Equations

Ordering numbers

100

Order from least to greatest:

-5/2, 2.5, 1/2, 1, -1/3

-5/2, -1/3, 1/2, 1, 2.5

200

Order from least to greatest

2, -0.5, 1.4, 0.2, 1.4, -1 1/2

-1 1/2, -0.5, 0.2, 1.4, 2

300

Order from least to greatest

-2/10, 1, 7/5, -3, 1/3

-3, -2/10, 1/3, 1, 7/5

400

Order from least to greatest

2/4, 0.3, -1 2/3, 6/3, -10/12

-1 2/3, -10/12, 0.3, 2/4, 6/3

500

Order from least to greatest:

7/2, -3.5, 0.2, 2 1/4, -1/3

-3.5, -1/3, 0.2, 2 1/4, 7/2

$$$

100

What is the least amount of coins you need to make 68 cents?  List the coins.

2 quarters, 1 dime, 1 nickel, and 3 pennies

200

You have $35.  How much change would you receive if your McDonald's combo meal cost $12.99?

$22.01

300

You have a $50 bill.  You buy a jacket for $24.99, a milkshake for $6.49, and a gift card for $10.  How much change do you receive?

$8.52

400

You want to buy a sweater for $20 and have a 20% coupon.  What is the final price?

$16

500

How much is the tax if the tax rate is 5% and your purchase was $24.50

$1.23

Distributive property/combining like terms

100

Simplify

3(x + 2) - 5

3x + 1

200

Simplify

2b + 4b - 8b

-2b

300

Simplify

3c - 5c + 7d + 12c

10c + 7d or 7d + 10c

400

Simplify

-2(5x + 4) + 3(3x - 2)

-x - 14 or -14 - x

500

Simplify

-1/2(2/3x + 1/2) + 2/3(1/4x - 1/2)

-1/6x - 7/12

Proportional relationships

100

How do you find constant of proportionality?

y/x

200

If the point (1,3) is on a graph, what is the constant of proportionality?

3

300

The table shows the number of songs and length of music playlists.  Each song has the SAME length.

How long is each song?

#of songs     Length of playlist

4                  16

9                  36

16                64

4

400

A dance studio offers ballet and hip-hop classes.  The studio has 8 ballet for every 12 hip-hop classes.  How many hip-hop classes are there for each ballet class?

1.5 or 1 1/2

500

Two quantities, x and y, have a proportional relationship where x=4 and y=2.  Create an equation to represent this situation.

y=2/4x

Expressions

100

What is the value of the expression:

3(-2.4)

-7.2

200

What is the value of the expression:

-6 - (-7) + 3 - 12

-8

300

15=10 + 2x

5=2x

What was the first step to solve the equation?

Subtracted 10 from BOTH sides.

400

Give TWO expressions that are equivalent to 

-2(4-3x) + (7x - 1)

-8 + 6x + 7x - 1 or 13x - 9 or -8 + 13x - 1

500

Create an expression equivalent to -4(5 + 2x) - 3x + 1

using the least amount of terms.

-11x - 19 or -19 - 11x