Math Q&A
Simplify the following expression; (-5x) - 2 + 5x + 3
1
Simplify the following polynomial expression; 24x^2 - 16x^3 - 4x (2x^2 + 3x)
24x^2 - 16x^3 -8x^3 - 12x^2 = 12x^2-24x^3
*******STUDY PAGE 57 OF THE MATH WORKBOOK*******
STUDY STUDY STUDY
evaluate the following expression; (-5x - 1) (-2)
distribute the -2 to -5x and -2. The answer is 10x + 2
What is 15% of 9 inches?
divide 9" by 15%; the answer is 60.
**10 is 200% of what?
****Divide 10 by 200; the answer is 5*****
Solve the following multi-step equation; 4x - 5x = 4x + 15
***When solving a multi-step equation, it does not matter what side you start with first, so in this example, you could choose to subtract the 4x from the right side or the left side, you will end up with the same answer! So, subtract 4x from the left side and the right side, which gives you -5x = 15. Then, divide -5 from both sides to get x by itself, you end up with -3.
**26% of 100 is what number?
**Divide 26% by 100; the answer is 26**
Simplify the following expression; -19 - 15x^2 + 12x^2
-19 - 3x^4
Simplify the following expression; 15(-2x - 1) + 28
-30x + 13
Simplify the following polynomial; (2x^2 + 4) - (9 + 5^2)
-3x^2 - 5
Any number multiplied or divided by 0 equals what?
0
Simplify the following expression; (11x^9y^3)^2
121x^18y^6
Simplify the following polynomial; 14x^5 - 15x^6 + 2x^5 - 16x^6 + x^6
16x^5 - 30x^6
Simplify the following expression; 42x^2 over 6x^2
42 over 6 reduces to 7, both x^2 cancel each other out. The answer is 7. ***Remember, the formula for simplifying numbers with exponents by numbers with exponents is x^m over x^n = x^m-n***
How do you simplify the following expression; 4^3 over 4?
Because the base numbers are the same, Simply subtract the two exponents; 4^2 ***Remember, the formula for simplifying numbers with exponents by numbers with exponents is x^m over x^n = x^m-n***
What do you do when subtracting a negative number from a negative number? (i.e. -7 - -8)
Change the subtraction to addition and change the sign of the second number (-7 - -8 becomes -7 + 8, = 1).
When dealing with an equation where the variables are on the same side, you can simply do what with those variables? When your dealing with an equation where the variables are on both sides of the equation, what must you do with those variables?
Combine like terms. Add, subtract, multiply, or divide to get the variable on one side.
52% of what number is 13?
Divide 13 by 52; the answer is 25.
17 is what percentage of 85?
Divide 17 by 85; the answer is 20%. Formula; x1 % x2.
What percent of 185.6 is 23.2?
Divide 185.5 by 23.2; the answer is 12.5%
14 is what percent of 70?
Divide 70 by 14; the answer is 20%
How do you convert a fraction into a decimal? (i.e. 25/100)
Divide the numerator by the denominator (100 / 25). Add a decimal to the end of the numerator and add a zero (i.e. 100 / 25.0) Place the decimal directly above the answer. 100 / 25.0 is 00.25)
How do you convert a fraction to a decimal? (i.e. change 25/10 to a decimal).
Divide the top number by the bottom number; 25 divided by 10 = 2.5
What do you do when adding or subtracting a fraction with a mixed number? (i.e. 4 1/2 + 5 1/3)
Find the least common denominator of the fractions, then multiply the numerator by the number used to find the LCD, the add; (4 1/2 + 5 1/3 = 4 3/6 + 5 2/3 = 9 5/6).
Solve the following multi-step equation; x + 2 = x - 2x + 8
First, I will choose to subtract the 1x from each side; which gives me 2 = -2x + 8. Next, subtract the 89 from both sides, which gives you -6 = -2x. Lastly, divide -2 from each side to get x by itself; x = 3
Solve the following equation; (-4) + 2x over 7 = 16
First, add 4 to each side, which will give you 2x/7 = 16. Next, multiply both sides by 7, which gets rid of fraction, and gives you 2x = 140. Lastly, divide both sides by 2 to get x by itself, which gives you x = 70.
Simplify the following expression; (-9)(12x - 21) + 31
First, distribute the -9 to the 12x and the -21; -108x +189 +31, that gives you -108x + 220.
Simplify the following expression; 2(4x + 9) + 12x
First, distribute the 2 into the parenthesis; 8x + 18 + 12x. Next, combine the like terms; 20x + 18
Simplify the following expression; -12x + 5(20x - 8)
First, distribute the 5 into the parenthesis; -12x + 100 - 40. Then, add the -12 and 100, which give you the answer of 88x - 40.
Solve the following multi-step equation; 5 (14 + 2x) + 3x = -x
First, distribute the 5 to the 14 and 2x, which gives you 70 + 10x + 3x = -x. Next, add the 10x and 3x; that gives you 70 + 13x = -x. Next, subtract 13x from each side; that gives you 70 = -14x. Lastly, divide both sides by -14. The answer is -5 = x.
Simplify the following expression; (9x - 5y) 7 + 25y
First, distribute the 7 into the parenthesis; 63x - 35y +25y, then combine like terms; 63x - 10y
In a party, 8 soft drinks are required for every 35 guests. If there are 560 guests, how many soft drinks are required?
First, divide 35 by 8; 4.375. Then, divide 560 by 4.375; 128 is the answer.
Solve the following two step equation; (-10)(5x) = 100
First, divide both sides by -10, which gives you 5x = -10. Next, divide both sides by 5 to get the x by itself. x = -2.
Solve the following multi-step equation' -10 = -(x + 7)
First, divide each side by -1 to get rid of the negative next to the parenthesis; that gives you 10 = (x + 7). Next, subtract each side by 7 to get x by itself. The answer is 3 = x
Solve the following two step equation; 4(9 + 3x) = -12
First, divide each side by 4, which gives you 9 + 3x = -3. Then, subtract both sides by 9, which gives you 3x = -12. Lastly, divide each side by 3 to get x by itself. The answer is x = -4.
Solve the following two step equation; (-5)(2x - 5) = (-15)
First, divide the stand alone -5, which will give you 2x - 5 = 3. Then, add 5 to each side, which will give you 2x = 8. Then, divide each side by 2. The answer is x = 4
Solve the following two step equation; 4 + 2x over 12 = 3
First, multiply both sides by 12 to get rid of the fraction on the left. That gives you 4 + 2x = 36. Then, subtract 4 from each side, which gives you 2x = 32. Lastly, divide both sides by to get get x by itself; the answer is x = 16
Simplify the following expression; 4.5x^3 x (-8x)
First, multiply the 4.5 by the exponent of 3;
Solve the following multi-step inequality; x OVER 3 + 1 OVER 3 < 2
First, rewrite the equation as x + 1 OVER 3 < 2. Next, multiply the denominator of the left hand side by 3 to get rid of the fraction, and multiply the right hand side by 3, which gives you x + 1 < 6. Then, subtract 1 from each side to get x by itself; the answer is x < 5.
Solve the following one-step inequality; 2x + 3 is greater than or equal to 7
First, subtract 3 from each side, which gives you 2x = 4. Next, divide 2 from each side to get x by itself. The answer is x is greater than or equal to 2
Solve the following multi-step equation; 8 - 2x = 28
First, subtract 8 from both sides, which gives you -2x = 20. Next, divide -2 from each side to get x by itself, which gives you x = -10.
Solve the following two-step equation; 9 + 4x < 25
First, subtract 9 from each side, which gives you 4x , 16. Next, divide the 4 from each side to get x by itself, which gives you x < 4
Solve the following multi-step inequality; - (x + 3) + 8 < 25
First, you must distribute the -1 to the x and 3 inside the parenthesis, which gives you -1x - 3 + 8 < 25. Next, add 3 to both sides, which gives you -1x + 8 < 28. Next, subtract 8 from each side, which gives you -1x < 20. Lastly, divide both sides by -1 to get x by itself, the answer is x = -20.
Evaluate the following expression; 6/5^-2
Flip the fraction around, then multiply that fraction by that same fraction; 6/5 becomes 5/6 x 5/6, which equals 25/36
What is the greatest common factor, or GCF? (i.e. 24, 36)
Is is the greatest number that can fit into the set of numbers. For example, 12, is the largest numbers that can go into both 24 and 36 evenly.
What is the least common multiple (LCM). (i.e. 12, 18)
It is the first number that the set of numbers goes into evenly. For example, 36 is the LCM for 12 and 18.
What do you do when dividing two fractions? (i.e. 3/5 by 4/5)
Keep the first fraction the same, flip the second fraction, and then multiply). For example, 3/5 by 4/5 becomes 3/5 x 5/4, which equals 15/20. BE SURE TO REDUCE IF ASKED!
When adding negative plus a positive, or a positive plus a negative, the answer will be? (i.e. -7 - 8) = or (7 + -8)
Keep the sign of the number with the larger value (-7 + 8 = 1) and (7 + -8 = -1)
****STUDY PAGE 56, SECOND HALF OF THE MATH WORKBOOK*****
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Whenever you are solving a system of equations by substitution, you should always choose the equation that has a coefficient of 1 or -1 to solve first. This will save time and it is easier! For example, if you were asked to solve 2x + 3y = -6 and -2x - y = 8, you should choose to solve the second equation first because it has a coefficient of 1 for y
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What do you do when multiplying two decimals? (0.06 x 2.5)
Simply multiply the two numbers together, ignoring the decimals. Next, count the number spaces from the decimal to the end of the number for each set of numbers (i.e. 10.1 is one space, 10.11 is two, etc). Insert a decimal that many places into your answer, starting from the far right and counting left. 0.06 x 2.5 is 0.150
Evaluate the following expression; 1/3^-2
When evaluating a fraction with a negative exponent, flip the fraction around, change the exponent to a positive, and then multiply the numerator and denominator by the exponent; 1/3^-2 becomes 3/1^2 which equals 9/1, or simply 9
Evaluate the following expression; 1/3^2
When evaluating a fraction with a positive exponent, flip the fraction around, change the exponent to a negative, and then multiply the numerator and the denominator by the exponent; 1/3^2 becomes 3/1^-2, which equals 1/9
Simplify the following algebraic equation; (-10) - x/4 + 4x, x = -8
When you plug -8 in for x, you get (-10) - -8/4 + 4(-8), which becomes -10 - -2 + -32, which is -40.
How do you convert a decimal into a fraction? (i.e. 0.25)
Write the decimal over 1 and then multiple both the numerator and denominator by 100; 0.25/1 x 100 = 25/100. BE SURE TO REDUCE IF ASKED.
Solve the following equation; (-8x) = 88
You must get the variable x by itself. To do that, you would simply divide -8 on both sides. The answer is x = -11
Solve the following equation; x + 4 = 16
You must get the variable x by itself. To do that, you would simply subtract 4 from each side, and the answer is x = 12
What do you do if asked to simplify a fraction?
You simply reduce it to its lowest possible form.
evaluate the following expression; -(-8 - 4x)
the negative sign on the outside represent a -1, therefore distribute -1 to -8 and -4x. The answer is 8 + 4x
****Simplify the following expression; -2X^-2*****
2/x^2
Simplify the following expression; 2xy^5 over x^5y
2y^4 over x^4 ***Remember, the formula for simplifying numbers with exponents by numbers with exponents is x^m over x^n = x^m-n***
How do you simplify an improper fraction? (i.e 28/15)
Determine how many times the denominator goes into the numerator. That is your whole number. However many is left becomes the numerator of the fraction. For example, 15 goes into 28 once, so you write 1 as your whole number, there is 13 left, so write that over your denominator. The answer is 1 and 13/15.
Jack scored 14 out of 70 marks in math, 9 out of 10 in history, and 56 out of 100 in science. In which subject was his percentage of marks the best?
Divide 14 by 70; 20% in math Divide 9 by 10; 90% in history Divide 56 by 100; 56% in science Answer is history; 90%
6.76 is what percentage of 52?
Divide 6.76 by 52; the answer is 13%
What percentage of 60 is 6?
Divide 60 by 6; the answer is 10%
35 is what percent of 70?
Divide 70 by 35; the answer if 50%
24 is 72% of what?
Divide 72 by 24; the answer is 33.33
Find what percentage of 96 is 24.
Divide 96 by 24; the answer is 25%
What do you do when dividing numbers with decimals? (i.e. 2.5 / 80)
Move the decimal point in the divisor (2.5) to the right until it is a whole number (2.5 becomes 25). However many spaces you move the decimal in the divisor, you must move in the dividend (80 becomes 800). Then divide then numbers without regard to the decimal. Then place the decimal point of the quotient directly above the decimal point of the dividend. (80 / 800 = 32)
What do you do when multiplying fractions together? (i.e. 3/5 x 5/9)
Simply multiply the numerator and the denominator, then reduce. (3/5 x 5/9 = 15/45, which reduces to 1/3).
What do you do when multiplying two fractions together? (i.e. 3/5 x 5/9)
Simply multiply the numerators and denominators together. For example, 3/5 x 5/9 = 15/45. BE SURE TO REDUCE IF ASKED!
What do you do when asked to multiply two mixed numbers together? (i.e. 2 and 4/3 x 2 and 2/6).
Turn both mixed numbers into an improper fraction, then multiply the numerators and the denominators.
How do you divide two mixed numbers? (i.e. 2 and 1/3 by 1 and 3/7).
Turn the mixed number into a fraction by multiplying the denominator by the whole number and adding the numerator. Flip the second fraction and then multiply the numerators and denominators. BE SURE TO REDUCE IF ASKED! 8/3 x 7/10 = 56/30.
Simplify the following expression; 3x^-3 over 12x^-1
The answer is 1 over 4x^2. ***Remember, the formula for simplifying numbers with exponents by numbers with exponents is x^m over x^n = x^m-n***
Simplify the following expression; (15x^2y^3)^2
The answer is 225x^4y^6
Simplify the following expression; 3x^4 over 4x^5
The answer is 3 over 4x. ***Remember, the formula for simplifying numbers with exponents by numbers with exponents is x^m over x^n = x^m-n***
Simplify the following expression; 81x^5 over 9x^3
The answer is 9x^2. Remember, because the exponent 5 minus the exponent 3 equals positive 2, the answer is not written as a fraction!!!
Evaluate the following expression; 2^-3
The answer is rewritten as a fraction. The answer is 1 over 8.
Evaluate the following expression; 3^-4
The answer is rewritten as a fraction. The answer is 1 over 81.
What do you do when subtracting two fractions? (i.e. 1/2 - 1/5).
The rules are the same for subtracting fractions as they are adding. Find the LCM for the denominator; 10. Multiply the numerator by the same amount you had to multiply the bottom by to find the LCM; 1x5 and 1x2 = 5/10 - 2/10. Then simply subtract the numerators. The answer is 3/10.
What do you do when asked to find the factors of a number? (i.e. 12)
You simply list all of the numbers that divide evenly into the number given. For example, 2, 3, 4, and 6 are all of the factors of 12.
How do you convert a decimal into a percent? (i.e. 2.15)
Multiply the decimal by 100. 2.15 x 100 is 215%
evaluate the following expression; 4(9-3x)
36-12x
Cost of a chair: $20, markup: 30%, discount: 10%, tax 10% Find the selling price:
$20 x .30% = $26 $26 x 10% = $2.60 $26 - $2.60 = $23.40 $23.40 x 10% = $2.34 $2.34 + $23.40 = $25.74
Simplify the following expression; 2x^3y^5 x 2xy^2
Multiply the two numbers that are in front of the x and the two numbers that are in front of y, then add the exponents of each variable; the answer is 4x^4y^7
What do you do when multiplying a mixed number by a mixed number: (i.e. 4 1/2 x 5 1/3)
Convert both mixed numbers to fractions by multiplying the denominator by the whole number, and adding the numerator. Then flip the second fraction. Then multiply and reduce. (4 1/2 becomes 9/2, 5 1/3 becomes 16/3, 9/2 x 16/3 becomes 144/6, which reduces to 24.
What do you do when multiplying a mixed number by a fraction? (i.e. 2 and 1/3 x 1/2)
First, change the mixed number to an improper fraction by multiplying the denominator by the whole number and then adding the numerator; 3x2 + 1 = 7. keep the original denominator; 7/3. Then multiply by the fraction; 7/3 x 1/2 = 7/6. BE SURE TOP REDUCE IF ASKED!
Evaluate the following expression; (-2x)(-3 + 2x) - 3x (1-5x)
First, distribute the -2x to the -3 and the 2x and then the -3x to 1 and -5x, which gives you 6x - 4x^2 -3x + 15x^2 DONT FORGET TO SIMPLIFY IF ASKED. The answer is 3x + 11x^2
What do you do when asked to add a mixed number? (i.e. 3 and 1/2 by 1 and 1/4).
Find the LCM for the denominators. For example, 4 is the LCM for 2 and 4. Then multiply the numerator by the same amount you multiplied the denominator by to get the LCM; 3 and 1/2 become 3 and 2/4. Now that both mixed numbers have the same denominators, you can simply add them; 3 and 2/4 + 1 and 1/4 becomes 4 and 3/4.
What do you do when adding or subtracting fractions with different denominators (i.e. 1/2 + 1/3)
Find the least common denominator, then simply multiply the numerator by the same number you had to multiply each denominator by to find the LCD. (the LCD of 2 and 3 is 6. Therefor 1/2 becomes 3/6, and 1/3 becomes 2/6. 3/6 + 2/6 = 5/6.
If you are asked to find the missing side of a similar figure, what do you do?
First you find the ratio. Determine which sides of each figure are the same. Then, divide the smaller number of figure one into the larger number of figure two. For example, if one side of figure one is 12, and the same exact side on figure two is 2, then divide 2 into 12, which would give you 6. Then divide that ratio (6) into the the known number of figure one or two, which will give you the length of the unknown number.
What do you do when asked to simplify the following expression; 2x^4 x 3x^2 x y^2
Multiply base numbers that have the same variable, add the exponents; 6x^6y^3
What do you do if asked to divide a whole number by a fraction, where the whole number is on the right?
Put it over 1, then flip it, then multiply both numerators and denominators!
What do you do when asked to list the "prime" factorization of a number? (i.e. 40)
You build a factor tree by multiplying the largest and smallest numbers together that equal the number being factored, and continue that process till there are no more numbers left. The smallest numbers are the prime factorization. For example, 2x20, 2x10, 2x5. 2, 2, 2, 5 are the prime factorization of 40.
What do you do when dividing a positive number by a negative number, or a negative by a positive? (i.e. 8 / -4)
The answer will be negative (8 / -4 = -2)
What do you do when multiplying a negative times a positive, or a positive times a negative? (i.e. 8 x -4)
The answer will be negative (8 x -4 = -32)
When subtracting a negative number from a positive number, the answer will be? (i.e. -7 - 8)
The answer will be negative. (-7 - 8 = -15)
If you divide a positive number by a negative number, what will the answer be? (i.e. 22 / -11)
The answer will be negative. (22 / -11 = -2)
If you divide two negative numbers, what will the answer be? (-44 / -11)
The answer will be positive (-44 / -11 = 4)
What do you do when multiplying two negative numbers (i.e. -8 x -4)
The answer will be positive (-8 x -4 = 32).
Simplify the following expression; x over x^7
First, divide the top and bottom base numbers; x over x is simply 1. Then, subtract the top exponent from the bottom. In this problem, when you subtract x^1 minus x^7, you end up with a negative exponent; x^-6. When simplifying an expression with a negative exponent, you simply rewrite the expression with your negative exponent as the denominator and remove the negative sign. For example, x^1 over x^7 becomes 1 over x^6 . ***Remember, the formula for simplifying numbers with exponents by numbers with exponents is x^m over x^n = x^m-n***
Use simple interest to find the balance; $1,200 at 15% for 3 years.
First, multiple 1200 by 15%; $180 Second, multiply the $180 by 3 years; $540 Third, add the $540 to $1,200;the answer is $1,740
A new car, valued at $42,000, depreciates at 7.5% per year from original price. Find the value of the car 6 years after the purchase:
First, multiply the $42,000 by 7.5%; $3,150 Second, multiply $3,150 by 6; $18,900 Third: subtract $18,900 from $42,000 The answer is $23,100 **A quicker way to calculate this is to multiply the interest rate by the amount of years of the loan; 7.5% x 6 = 45% = 45%. Subtract 45% from 100; 55%. Multiply 55% by $42,000 to get your answer; $23,100.
Simplify the following equation; 10 (-3 - 8x), x = 4
First, plug in 4 for x. The equation becomes 10 (-3 - 8(4)). BE SURE TO FINISH THE EQUATION INSIDE PARENTHESIS FIRST! That becomes 10 (-3 - 32), which becomes 10 (-35), which gives you -350.
What do you do when adding two fractions together? (i.e. 1/4 + 2/3)
First, you find the least common multiple that the two denominators being added have in common. The LCM for 1/4 and 2/3 is 12. Then multiply the top by the same number you multiplied the bottoms by; 3x1 and 4x2, which gives you 3/12 + 8/12. Then simply add the two numerators,leave the denominator the same. The answer is 11/12.
What do you do when multiplying numbers with decimals? (i.e. 10.4 x 18.2)
Forget the decimals are there and multiply the numbers (10.4 x 18.2 becomes 104 x 182). Then, you need to put the decimal back into the answer. To do that, take each number being multiplied, start to the right of that number, and count till you reach the decimal (i.e. 10.4 is one spot from the right, 10.44 would be two spots to the right, 10.444 would be three, and son on). Because the decimal for 10.4 and 18.2 are both one spot from the right, you will place the decimal two spots from the right of the answer (i.e. 10.4 x 18.2 is 189.28).
What do you do when asked to divide a fraction by a whole number? (i.e. 3 by 9/7).
Rewrite the whole number as a fraction, leaving the whole number as the numerator and using 1 as the denominator). Then flip the second fraction; For example, 3 becomes 3/1, and 9/7 becomes 7/9. Multiply the numerators and denominators; 3x7 =21, 1x9 = 9. The answer is 21/9. BE SURE TO REDUCE IF ASKED!
What do you do when asked to simplify the following expression; 2 x 2^2 x 2^3
Simply add all of the exponents and leave the base number the same. **If there is a number without an exponent, remember the exponent is really 1!!! So, 2 x 2^2 x 2^3 = 2^6
What do you do when adding or subtracting a fraction with the same denominator. (i.e. 2/3 + 4/3)
Simply add or subtract the numerator, and keep the denominator. (2/3 + 4/3 = 6/3).
What do you do when asked to simplify the following; 4^3 x 4^2
Simply add the two exponents and leave the base number the same. 4^3 x 4^2 = 4^5.
What do you do when adding or subtracting a whole number by a mixed number (i.e. 9 + 1 and 1/9)
Simply add the two whole numbers and keep the fraction; 9 + 1 and 1/9 is 10 and 1/9).
Simplify the following expression; (3x^2)^3
27x^6
What is the absolute value of a number? (i.e. what is the absolute value of 60, and -60)?
For a positive number, it is that same number. For example, the absolute value of 60 is 60. For negative numbers, is is the positive of that number, for example the absolute value of -60 is 60.
What do you do when adding or subtracting decimals? (i.e. 24.38 + 16.51)
Line up the decimals and perform the function. If the decimals are not in the same spot, you must line them up to the tenths, hundreds, thousands, etc. (i.e. 2.438 + 16.51 would become 02.438 + 16.510)
If you are asked to calculate a percentage (i.e. 75% of 45), what would you do?
Multiply .75 by 45. Ignore the decimal. You get 3375. Put the decimal back the same amount of places to get your answer. (.75x45 = 33.75).
Simplify the following expression; (x^3)^3
Simply multiply the two exponents; x^9. **Remember, you would multiply the number in front of the x by the exponent, however, because there is no number in front of the x, that number is 1, so when multiplying 1 x 1 x 1, you just get 1. BUT, if you had a 2 in front of the x, it would be 2 x 2 x 2 and the answer would be 8x6^9.
How would you evaluate a number with a negative exponent? (i.e. 4^-2)
Simply rewrite the expression as a fraction, using one as the numerator and the answer as the denominator; 4^-2 becomes 1 over 16.
Simplify the following expressions; 3x over 7x^4
The answer is 3 over 7x^3 ***Remember, the formula for simplifying numbers with exponents by numbers with exponents is x^m over x^n = x^m-n***
Simplify the following expression; (2x^2)^3
The answer is 8x^6. First, factor out 2x^3, which gives you 8x. Then, simply multiply the two exponents together, which gives you an exponent of 6. therefore, the answer becomes 8x^6.
When adding two negative numbers, the answer will be what? (i.e. -7 + -8)
The answer will be negative (-7 + -8 = -15)
What do you do when dividing a negative number by a negative number? (i.e. -8 / -4)
The answer will be positive (-8 / -4 = 2)
When subtracting a positive number from a negative, the answer will be? (i.e. 7 - -8)
The answer will be positive (7 - -8 = 15)
If you have a positive number minus a negative number, what will the answer be? (i.e. 4 - -5)
The answer will be positive. (4 - -5 = 9)
What do you do when adding a negative number plus a negative number? (i.e. -7 + -8)
Treat the positive sign as a negative sign, and the second number as a positive. (i.e. -7 + -8 becomes -7 - 7. The answer is -15).
What is an improper fraction?
When the numerator is larger then the denominator.
Simplify the following algebraic equation; (- 36/x) - 10 + 2x, x = 6
When you plug in 6 for x, you get (- 36/6) - 10 + 2(6), which becomes -6 - 10 + 14, which is -4
Simplify the following algebraic expression; 5x + 3y - 6 + 3y, x = 3, y = 1
When you plug in the x and y variable, you get 5(3) + 3(1) - 6 +3(1), which becomes 15 + 3 - 6 + 3, which becomes you 18 - 6 + 3, which becomes 12 + 3, which gives you 15.
What do you do when asked to list the positive factors of a number? (i.e. 12)
You list all of the numbers that can be multiplied together to make that number. For example, the positive factors of 12 are 1, 2, 3, 4, 6, and 12
