Numbers can be positive or negative
Zero is neither positive nor negative
The absolute value of a number is its distance from zero
Variables are letters that stand for numbers
An expression is a combination of numbers variables and operations
An equation shows two expressions are equal
A term is a single number or variable or their product
Like terms can be combined because they have the same variable part
The coefficient is the number multiplied by a variable
The distributive property expands a times b plus c into ab plus ac
To solve an equation isolate the variable on one side
Whatever you do to one side of an equation you must do to the other
The slope of a line measures its steepness
Slope equals rise over run
The y intercept is where the line crosses the y axis
A quadratic equation involves x squared terms
The graph of a quadratic equation is a parabola
A number increased by 7 is equal to twice the number what is the number. The number increased by 7 that equals twice the number is 7.
The sum of three consecutive integers is 72 what are the integers. The three consecutive integers whose sum is 72 are 23 24 and 25.
Two numbers have a sum of 50 and a difference of 6 what are the numbers. The two numbers that have the sum of 50 and a difference of 6 are 28 and 22.
Tom is twice as old as his sister in 5 years the sum of their ages will be 35 how old are they now. Tom and his sister who meet this condition are sixteen and two thirds years and eight and one third years old now.
A ladder leans against a wall forming a right triangle the ladder is 13 feet long and the base is 5 feet from the wall how high up the wall does the ladder reach. The ladder leaning 5 feet from the wall reaches 12 feet up the wall.
If a car travels at 45 miles per hour how long will it take to travel 180 miles. A car traveling at 45 miles per hour will take 4 hours to travel 180 miles.
A rectangle has a length 3 times its width if the perimeter is 48 units what are the dimensions of the rectangle. The rectangle with perimeter 48 and length 3 times width has dimensions 18 by 6.
Sarah buys 3 apples and 2 bananas for 4 dollars if each apple costs the same and each banana costs the same what is the price of one apple. Sarah buys 3 apples and 2 bananas for 4 dollars there is not enough information to determine a unique price for one apple.
A class has 30 students the ratio of boys to girls is 2 to 3 how many boys are in the class. A class of 30 students with ratio 2 to 3 has 12 boys.
Mary scored 15 more points than twice Johns score together they scored 75 points how many points did John score. Mary scoring 15 more than twice John means John scored 20 points.
The product of two consecutive odd integers is 255 what are the integers. The two consecutive odd integers whose product is 255 are 15 and 17.
A car rental company charges 40 dollars plus 15 dollars per day if the total cost was 115 dollars how many days was the car rented. A rental costing 115 dollars with base 40 plus 15 per day means the car was rented for 5 days.
If 5 pens cost 8 dollars how much do 12 pens cost. If 5 pens cost 8 dollars then 12 pens cost 19 dollars and 20 cents.
A farmer has 100 meters of fencing to enclose a rectangular field the length is twice the width what are the dimensions. A field with perimeter 100 and length twice width has dimensions sixteen and two thirds meters by thirty three and one third meters.
A theater sells 120 tickets adult tickets cost 10 dollars and child tickets cost 6 dollars if the total sales were 1080 dollars how many of each ticket were sold. A theater with 120 tickets and 1080 dollars in sales sold 90 adult tickets and 30 child tickets.
A shopkeeper buys a shirt for 20 dollars and sells it for 28 dollars what is the percent profit. A shirt bought for 20 dollars and sold for 28 dollars yields a profit of 40 percent.
A sum of money is split between Alice and Bob in the ratio 3 to 5 if the total is 400 dollars how much does Alice receive. A total of 400 dollars split in the ratio 3 to 5 gives Alice 150 dollars.
Math: multiplication
3 times 4. 3 times 4 equals the number 12
3 times 5. 3 times 5 equals the number 15
3 times 6. 3 times 6 equals the number 18
3 times 7. 3 times 7 equals the number 21
3 times 8. 3 times 8 equals the number 24
3 times 9. 3 times 9 equals the number 27
3 times 10. 3 times 10 equals the number 30
3 times 11. 3 times 11 equals the number 33
3 times 12. 3 times 12 equals the number 36
3 times 13. 3 times 13 equals the number 39
3 times 14. 3 times 14 equals the number 42
4 times 4. 4 times 4 equals the number 16
4 times 5. 4 times 5 equals the number 20
4 times 6. 4 times 6 equals the number 24
4 times 7. 4 times 7 equals the number 28
4 times 8. 4 times 8 equals the number 32
4 times 9. 4 times 9 equals the number 36
4 times 10. 4 times 10 equals the number 40
4 times 11. 4 times 11 equals the number 44
4 times 12. 4 times 12 equals the number 48
4 times 13. 4 times 13 equals the number 52
4 times 14. 4 times 14 equals the number 56
5 times 5. 5 times 5 equals the number 25
5 times 6. 5 times 6 equals the number 30
5 times 7. 5 times 7 equals the number 35
5 times 8. 5 times 8 equals the number 40
5 times 9. 5 times 9 equals the number 45
5 times 10. 5 times 10 equals the number 50
5 times 11. 5 times 11 equals the number 55
5 times 12. 5 times 12 equals the number 60
5 times 13. 5 times 13 equals the number 65
5 times 14. 5 times 14 equals the number 70
6 times 6. 6 times 6 equals the number 36
6 times 7. 6 times 7 equals the number 42
6 times 8. 6 times 8 equals the number 48
6 times 9. 6 times 9 equals the number 54
6 times 10. 6 times 10 equals the number 60
6 times 11. 6 times 11 equals the number 66
6 times 12. 6 times 12 equals the number 72
6 times 13. 6 times 13 equals the number 78
6 times 14. 6 times 14 equals the number 84
7 times 7. 7 times 7 equals the number 49
7 times 8. 7 times 8 equals the number 56
7 times 9. 7 times 9 equals the number 63
7 times 10. 7 times 10 equals the number 70
7 times 11. 7 times 11 equals the number 77
7 times 12. 7 times 12 equals the number 84
7 times 13. 7 times 13 equals the number 91
7 times 14. 7 times 14 equals the number 98
8 times 8. 8 times 8 equals the number 64
8 times 9. 8 times 9 equals the number 72
8 times 10. 8 times 10 equals the number 80
8 times 11. 8 times 11 equals the number 88
8 times 12. 8 times 12 equals the number 96
8 times 13. 8 times 13 equals the number 104
8 times 14. 8 times 14 equals the number 112
9 times 9. 9 times 9 equals the number 81
9 times 10. 9 times 10 equals the number 90
9 times 11. 9 times 11 equals the number 99
9 times 12. 9 times 12 equals the number 108
9 times 13. 9 times 13 equals the number 117
9 times 14. 9 times 14 equals the number 126
10 times 10. 10 times 10 equals the number 100
10 times 11. 10 times 11 equals the number 110
10 times 12. 10 times 12 equals the number 120
10 times 13. 10 times 13 equals the number 130
10 times 14. 10 times 14 equals the number 140
11 times 11. 11 times 11 equals the number 121
11 times 12. 11 times 12 equals the number 132
11 times 13. 11 times 13 equals the number 143
11 times 14. 11 times 14 equals the number 154
12 times 12. 12 times 12 equals the number 144
12 times 13. 12 times 13 equals the number 156
12 times 14. 12 times 14 equals the number 168
13 times 13. 13 times 13 equals the number 169
13 times 14. 13 times 14 equals the number 182
14 times 14. 14 times 14 equals the number 196
