Topic 1
(Integers and Rational Numbers)
(Integers and Rational Numbers)
3 and -3 are called what?
Opposite Numbers
You use "keep change flip" with what type of problems?
When dividing fractions
When working with unit rates, your proportion should have what number in the denominator?
1
State the percent proportion equation (hint: use words %, part, 100, whole)
part/whole = %/100
Simplify the expression
5a - 2b - 3 + 2b - 6a
-a - 3
The temperature of chicken soup is 192.7 degrees Fahrenheit. As it cools, the temperature of the soup decreases 2.3 F per minute.
What is the temperature of the soup after 25 minutes?
139.7 F
29 + (-28)
1
A car travels 60 miles in 2 hours, find the unit rate.
30 miles in 1 hours (30mph)
State the simple interest formula
I = prt
Cindy spent $65.25 on ingredients for blueberry pies and $62.84 on ingredients for cherry pies. Each slice of pie sells for $3.50.
Write an expression to represent Cindy’s profit if she sells b slices of blueberry pie and c slices of cherry pie.
(3.5b + 3.5c) - 128.09
or similar equivalent expression
Select all products that are negative if x is negative:
a) -6x
b) 4x
c) -3(-x)
d) -x
B and C
Is this statement true? 32+ (-17) is 17 units from 32 in the positive direction.
No, -17 is 17 units in the negative direction.
If a mockingbird flaps its wings 420 times in 30 seconds, how often does it flap its wings in 1 minute?
840 wing flaps
State the percent change formula
Responses will vary (depending on Barnes/Wasko class)
A store owner spends 7x + 13 dollars on two orders of boxes of light bulbs, including shipping.
If she spends 3x + 5 dollars on the first order of lightbulbs, how much does she spend on the second order?
4x + 8
Select all expressions that are rational numbers:
a) 3.14159......
b) -9.1234567123......
c) 9.293847210103938.....
d) 22/7
e) -26
D and E
A race car game takes 6 points from a player each time the player hits a cone. What integer represents the change in total points if the player hits 10 cones?
-60
Erik rides his motorbike
26 2/3 miles in 2/3 hour. What is Erik's average speed in miles per hour?
40 miles per hour
A skin care company had 1500 people try a new acne cream. 9 people had a mild allergic reaction. The formula is then improved and those 1500 people try the new cream. Only 4 of them had a mild allergic reaction. What is the percent decrease in number of allergic reactions? Round to the nearest percent.
56%
Select all the expressions that are equivalent to
24x + 12.
a) 2(12x + 6)
b) - 6( - 4x - 2)
c) - 3(8x - 4)
d) 12(1 + 2x)
e) - 4( - 6 - 3x)
A, B, and D
Jason spends $2.35 to buy lunch at school. If he buys a lunch on 9 days, what number represents the total change in the amount of money Jason has?
-$21.15
Multiply:
-5/6 * 1/8
-5/48
A car travels 2 5/8 miles in 3 1/2 minutes at a constant speed. How far did the car travel in 5 minutes?
3.75 miles
The Lee family buys a new car that has a sales price of $35,000. If the car dealer requires a minimum down payment of 15%. What is the minimum down payment the Lees must pay for their car?
$5,250
Factor the expression 24x - 56y + 72.
8 (3x - 7y + 9)