word problems
You have two summer jobs; dog walking and babysitting. Dog walking pays $15 per hour, and babysitting pays $10 per hour. Next week, you can work a maximum of 20 hours, and you need to earn at least $150.
(a) Write a system of inequalities to model this situation
(b) graph the inequalities (only graph the quadrant 1)
x+y <= 20
15x+10x >= 150
Which word is always spelled incorrectly in the dictionary?
incorrectly
Simplify
(-2x2+2x-5)+(x2+3x-11)
-x2+5x-16
(2x2 y3)3
8x6y9
What is the capital city of Malaysia?
Kuala Lumpur
Ike and Mike go to a sandwich shop with a total of $30 to spend. Sandwiches cost $4.50 each and soft drinks cost $1.00 each. Ike and Mike plan to buy as many sandwiches as they can and use the remaining money to buy soft drinks. Counting the number of sandwiches and soft drinks, how many items will they buy?
9 items
I am an odd number. Take away one letter, I become even. What number am I?
7, Seven
Simplify
5x2-(5x-1+x2)-(2x2-6x)
2x2+x+1
(a4)2 x (a-3)2
a2
What is the capital city of Egypt?
Cairo
A truck must carry 20 boxes in total. There are two types of boxes that are identical in size and shape but differ in weight: one weighs 40 kg and the other weighs 30 kg. If the truck can carry up to 750 kg, what is the maximum number of 40 kg boxes that can be loaded?
Set up the inequality, and solve.
15 boxes
A boy has as many sisters as brothers, but each sister has twice as many brothers as sisters. How many boys and girls are in the family?
4 boys and 3 girls
Simplify
(5a+2)(a-4)
5a2-18a-8
What is the area of triangle A that has a base of 4xy3 and a height of 3x2y4?
6x3y7
What is the capital city of New Zealand?
Wellington
A triangle has two side lengths of 5 and 19. Which of the following could be the perimeter of the triangle?
(a) 32
(b) 40
(c) 48
(d) 50
(b)
I am a two-digit number. My digits add up to 9. If you reverse my digits, the new number is 27 greater than me. What number am I?
36
Simplify
(1) (2x+3)2
(2) (2x-3)2
(3) (2x-3)(2x+3)
(1) 4x2+12x+9
(2) 4x2-12x+9
(3) 4x2-9
(8x)(32)=165
Solve for x
x=5
What is the capital city of Norway?
Oslo
Shauna takes 5 tests. Each worth a maximum of 100 points. Her scores on the first three tests are 76, 94, and 87. In order to average 81 for all five tests, what is the lowest score she could earn on one of the other two tests?
48
A farmer has some chickens and rabbits. Altogether, there are 35 heads and 94 legs.
How many chickens and how many rabbits are there?
23 chickens and 12 rabbits
A circular pond has a radius of x meters. A walking path 5 meters wide surrounds the pond.
Find the area of only the walking path.
(Fully expand your answer)
10ㅠx+25ㅠ
A rectangular pyramid has a square base with each side length of 2a2b, and its volume is 10a5b4. What is the height of this pyramid?
7.5ab2
What is the capital city of Hungary?
Budapest