Number System
Ratios & Proportions
Expressions
Equations
Percents
100
What is the value of 5(13.5 - 4.5). 
5(13.5) - 5(4.5)

 67.5   - 22.5 = 45

100
What is the constant of proportionality in the following table? 

X                        Y

14                      4

28                      8

42                     12                    

14/4 = 3.5

28/8 = 3.5 

42/12 = 3.5 

Constant of Proportionality = 3.5

100

Simplify the expression: 

-r + -10r

-11r
100
Solve the equation: 

4x + 24 = 32

4x = 8 

  x = 2

100
Audrey buys a sweater that costs $30. The store is having a 25% off sale on everything in the store. Enter the about of money, in dollars, Audrey saves from the sale. Do not consider the sales tax. 
30(.25) = 7.5 (Discount) 

30 - 7.5 = $22.50

200

42 + - 50 - 4

-12

200
The table shows the relationship between the amounts of ginger ale and fruit juice needed to make punch. Fill in the missing values to complete the table. 

Ginger Ale (L)       Fruit Juice (oz)

                                     12

         3                          18

         5                          30

         9                         

Ginger Ale (L)            Fruit Juice (oz)        *Constant is 6 liters per ounce. 

         2                             12

         3                             18

         5                             30

         9                             54

200

Simplify the expression. 10 -5(9n -9)

55 - 45n

-45n + 55

200
Solve and graph the following inequalities. 

6x - 4 < 8

6x - 4 < 8            

    +4     +4

    6x < 12

      x < 2          **When graphed, it is an opened circle and it is going left

200
Katie bought a necklace for $15.50. If the state had an 8% tax, how much did Katie pay for the necklace including tax. 
8% = 0.08

15.50(0.08) = 1.24

15.50 + 1.24 = 16.74


300

What is the quotient of -156.2/3.2? 

- 48.8125

300

Kelly goes on a morning walk. The numbers show the number of meters Kelly ran over time. Do they  represent a proportional relationship? Explain. 

Distance (m): 3, 4, 5, 6 Time (In minutes): 12, 16, 20, 24

Yes, it is a proportional relationship because when y (minutes) is divided by x (distance) we get a constant of proportionality equal to 4.

300

Select the expression equivalent to

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

A. -2x + 12

B. -8x +12

C. 6x + 7

D. 2x + 7

D. 2x + 7

300
Select all equations that have n=6 as a solution. 

A. 2 + n = 6

B. n + 6 = 12

C. 4n = 24

D. n * 3 = 2

B. n + 6 = 12

C. 4n = 24


300

Sam buys a lamp during the sale. There was a discount of 20%. If the original price is $4, what is the sale price? 

$3.20 

400

In Baltimore, Maryland the temperature was -12 degrees Fahrenheit in the morning. If at night the temperature dropped 8 degrees Fahrenheit, what is the temperature now?

-20 degrees Fahrenheit

400
An electrician is hired to install outdoor lighting. The electrician claims that the relationship between the number of hours worked and the total work fee is proportional. The fee for 5 hours of work is $225. Select all combinations of values for the electrician's work hours and total work fee that support the claim that the relationship between the two values is proportional. 

A. 6 hours and $270

B. 8 hours and $360

C. 9.5 hours and $427.50

A. 6 hours and $270

B. 8 hours and $360

C. 9.5 hours and $427.50

400

-3(10b +10) + 5(b+2)

-30b - 30 + 5b + 10 = -25b -20
400

Brian bought some reams of paper for $4 each and a $350 printer. He spent a total of $550. Write and solve an equation to find the number of reams of paper Brian purchased.

The equation is 4r + $350 = $550; r = 50 reams of paper.

400

Alma bought a chemistry book for $40. Later that book was marked up by 30%. By how much has the value been increased?

It increased by $12. 

New price $52

500

Mt Everest, the highest elevation in Asia, is 29,028 feet above sea level. The Dead Sea, the lowest elevation, is 1,312 feet below sea level. What is the difference between these two elevations?

30,340 feet 

500

A machine stamps 360 metal parts in 15 minutes. Find the unit rate in parts per hour.

24 metal parts per minute

24(60) = 1440 metal parts per hour

500

Simplify the expression.

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


-10n + 20 - 2n - 6 = -12n + 14
500

(3y + 18) - 6y = -9

-3y + 18 = -9

   y = 9

  

500

A cell phone that costs $400 is marked down 10% for a sale. If an iPod is also on sale for 20% off the original price of $150, what is the sum of the cost of the cell phone and the iPod? 

Cellphone cost with discount = $360

iPod cost with discount = 120

Sum of costs = 480