Write the following number in scientific notation:
76,540,000
7.654 x 107
Simplify the expression: 2(4x+2)
8x + 4
A kitten's weight at the first vet visit was 3 pounds. At the second vet visit, it was 9 pounds. What is the percent of increase?
200%
Simplify: 5x + 7x - 4
12x - 4
Find 0.4% of 98
0.392
What is the constant of proportionality in the equation: y = 3x ?
3
Write the following number in standard notation:
2.01 x 10-7
0.000000201
Simplify: 5(x - 3)
5x - 15
A sales representative earns 15% commission on every sale. What did they earn on a $4,000 sale?
$600
Simplify: 3x + 6 - 7x + 3
-4x + 9
Find the final cost of a $15 shirt, with a 7% sales tax.
$16.05
Name the 2 characteristics used to determine proportionality from a graph.
1. A straight line.
2. The line passes through the origin.
Simplify the following expression: 2n4 x 7n6
14n10
Simplify: 7 + 9(2x - 3)
18x - 20
The number of students estimated to vote in the school election was 1,000. The actual number of students who voted was 950.
Find the percent error. Round the percent to the nearest whole number.
5%
Simplify: 8 + 4x + 1 - 12 + 5x
9x - 3
Find the final price of a $55 sweater after a 34% discount.
$36.30
Does the following table represent a proportional relationship? Explain.
x y
6 36
48 288
12 72
Yes, there is a constant unit rate of 6.
10a9 / 2a6
5a3
Simplify: -3(-x - 10)
3x + 30
Matthew borrowed $7,000 from the bank for a car loan. How much will he pay back in interest over 3 years with a 13% interest rate?
$2,730
Simplify: (-11j + 16) + (- 22j - 27)
-33j - 11
A new pair of shoes is $115. What is the selling price after a 20% discount and an 8% sales tax?-3(-x-10)
$99.36
Does the following equation represent a proportional relationship?
y = 6x - 8
No, proportional relationships are only written in the form y = kx.
(2xy)4
16x4y4
Simplify: x + 10 - 6(x - 3x) + 4
13x + 14
Paint costs $4 per can and brushes cost $3 each. The sales tax rate is 5%. Write an expression to represent the total cost of p cans of paint and b paint brushes?
1.05(4p + 3b)
Simplify: 9y + 3 - 4x - 2y - 3x - 5
7y - 7x - 2
Best Buy bought a phone case for $45 and marked up the price 60%. What is the selling price?
$72
Does the following equation represent a proportional relationship?
y = -4x
Yes! y = -4x is written in the form y = kx.