Rational Numbers 1
order from least to greatest: 6.010; 6.100; 6.001
6.001; 6.010; 6.100
Simplify the following expression: -4x - 7x + 9
- 11x + 9
What is the unit price for 25 bottles that cost $3.65?
3.65/25 = 0.146 = $0.15/ bottle
Simplify 3x - 6 + (-2x) - 4
x - 10
Solve 145 = -5x
x = - 29
Mr. White bought 50 pounds of pizza dough and used it equally over 10 days. How much pizza dough did he use each day?
5 pounds
What is the Greatest Common Factor of -81a+36
GCF is 9
7/8 / 4/6
7/8 * 6/4
= 42/32 = 21/16
Simplify: 5 + 3(7x - 2)
21x - 1
6 -2n = -14
n = 10
What is the value of 3/4 + ( -1/2)?
1/4
Evaluate | -4 + 9|
5
Write the equation that represents the situation below:
Tom works 40 hours and earns $800.
*Hint - find k first
k = 800/40 = 20
y = 20 x
Where y is the money earned and x is the hours worked.
What is an Algebraic Expression?
An expression with at least one variable and one operation.
Examples; -4x, 2x + 5, 3 xy
Solve - 3/4 x + 1 = 7
- 3/4 x + 1 = 7
- 3/4 x = 6
x = 6 * ( - 4/3)
x = -8
Tammy purchased items for a total of $82.
She had a coupon for 15% off a purchase of $50 or more.
How much did Tammy pay for her items?
$69.70
If x=3, Evaluate 7x-19.
2
Shelly was grocery shopping yesterday. She compared two different brands of dog food for her puppy, Duke. Puppy Pal cost $15 for 6 pounds and Doggie-Bites cost $45 for 18 pounds. Are they proportionate?
since 15/6 = 5/2 and 45/18 = 5/2
Yes, the relationship between the cost and the pounds is proportional.
Combine like terms: -9+ 2x- 2y+ (9 -2y)- 5x+b
-9+ 2x- 2y+ (9 -2y)- 5x+b
-9+ 2x- 2y+ 9 -2y- 5x+b
-9 + 9 + 2x - 5 X -2y -2 y +b
- 3x - 4y + b
Solve 2 ( y - 3) + 2 y = -6
2 ( y - 3) + 2 y = -6
2y - 6 + 2y = -6
2 y + 2y = 0 4y = 0
y = 0
A ribbon that is 6 meters in length is cut into 24 pieces that are all the same length. What will be the length of each piece, in centimeters?
(Note: 100 centimeters = 1 meter)
25 cm
SOLVE using PEMDAS :
(8+20/10)+ 36/4 + 3
SOLVE using PEMDAS :
(8+20/10)+ 36/4 + 3
(8 + 2) + 9 + 3 = 22
What is the original price of an item that was marked up 20% and is being sold for $40?
Let the original price be $ x
1.20 x = 40
X = $ 33.33
Simplify.
- 4 ( x - 3/4) + 2x
- 4 ( x - 3/4) + 2x
- 4x + 3 + 2x
-2x + 3
What is the measure of all the angles in an isosceles right angled triangle? Write an equation to find the angles.
x + x = 90 = 180
2 x + 90 = 180
2x = 90
x = 45