# MTH111

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1. The variable x increased by 6
x + 6
2. The variable x decreased by 6
x - 6
3. 6 times the variable
6x
4. 5 more than 3 times the variable x
3x + 5
5. 7 more than the square root of the variable x
6. items are in the square root box x + 7
7. 2 less than the product of four and a number
4x - 2
8. The sum of 7 divided by a number and that number divided by 7
7/x + x/7
9. The product of 6 and a number increased by 4 is 35
6(x + 4) = 35
10. One less than the products of 12 and a number
12x - 1
• plus
• sum
• more than
• increased by
12. Words Meaning Subtraction
• minus
• difference
• less than
• decreased by
13. Words Meaning Multiplication
• times
• product
• twice
• multiplied by
14. Words Meaning Division
• divided
• quotient
• ratio
• divided by
15. =
• equals
• gives
• is
• will be
• yields
• is the same as
• was
16. Equation
x + 3 = 5
17. Solution
value of the variable that makes the equation true
18. Evaluate X-Y/3 when x is 10 more times than 2 times y and y = 8
• x = 2y +10
• x = 2(8) + 10
• x = 16 + 10
• x = 26
• 26-8/3 =
• 18/3 =
• 6
19. If 10 is decreased to 3, the decrease is what % of the original number
• Formula A=P * B
• A=decrease
• P =%
• B = Original Amount

• 10 - 3 =7
• A=P * B
• 7=P *10
• 7/10 = P*10/10
• turn into percent.
20. -n = 60
-60
21. Inequalities

15 + 5 ≥ 7(2x +) +9
15 + 5 ≥ 14x + 7 + 9

15x – 14x ≥ 7 + 9 – 5

X ≥ 16 – 5

X ≥ 11 [11, ∞)
22. The angels measuure is 20 degrees more than triple its supplement
• x = 20 + 3(180-x)
• x= 20 + 540 - 3x
• x+3x = 20+540
• 4x=560
23. Inequality symbols
• ( ) parenthesis are NOT included in interval notation
• [ ] square brackets are inculded
• ( ) parenthesis are always included with - infinity or positive infinity
24. Complementary Angle
• 90 degrees
• 70 degree and 20 degree are complementary

• to find the measurement of the complement subtract the given angle from 90 degrees.
• (i.e. a angle is 25 degrees)
• 90 - 25 = 65 degrees
25. Supplementary Angle
180 degrees
26. One angle of a triangle is three times as large as another. the measure of the third angle is 65 degrees more than that of the smallest angle. find the measure of each angle.
x + 65

• x + 3x + (x + 65)=180
• 5x + 65 = 180
• 5x = 180 - 65
• 5x = 115
• x = 23 (smallest angle)

• The measure of the angle that is three times as large as the smallest angle is 3x
• 3x = 3 * 23 = 69 degrees

• The measure of the angle that is 65 degrees more than the smallest angle is x + 65
• x + 65 = 23 + 65
• x + 65 = 88

The three angles aer: 23 + 69 + 88 = 180 degrees
27. The measurement of the angles supplmenet is 80 degrees more than three times that of it's complement

complement 90 - x
supplement 180 - x
• 180- x = 80 + 3 * 90 - x
• 180- x = 80 + 3(90 - x)
• 180 - x = 80 + 270 - 3x
• 180 - x = 350 - 3x
• 180 - x + 3x = 350
• 180 + 2x = 350
• 2x = 350 - 180
• 180 + 2x = 170 (divide)
• x = 85
28. Find the measure of the complement of a 37 degree angle
Two angles are complementary if and only the sum of their measure is 90 degrees

90 - 37 = 53 degrees
29. Measure the supplement of a 117 degree angle
two angels are supplementary if and only their sum measures 180 degrees

180 - 117 = 63 degrees
30. Linear inequality symbols
• ≤ - less than or equal to
• < - less than
• ≥ - greater than or equal to
• > - greater than
• ∞ - infinity
31. In a triangle, the measure of the first angle is three times the measure of the second angle. The measure of the third angle is 20 degrees less than the second angle. What is the measurement of each angle?
• x + y + z = 180
• 3y + y + y-20 = 180
• 5y - 20 = 180
• 5y = 180 - 20
• 5y = 200
• y = 40

x = 3 * 40 = 120 z = 40 - 20 = 20
32. Inconsistent equation
• x = x + 4
• use "no solution" or o
33. Identity
An equation that is true for all real numbers

x + 3 = x + 2 + 1
34. formulas using letters only for C
• C + M + S (isolate the C)
• C + M - M = S - M
• C = S - M
35. Exponents
-2^4
when there is a negative , even will always result in a positive result where-as a odd number will always result in a negative
36. Rectangle - Perimeter and Area
• P = 2(L+W)
• A=LW
37. Square - Perimeter and Area
• P = 4S
• A = S^2
38. TRIANGLE Perimeter and Area
• P = A + B + C
• A = 1/2BH
39. PARALLELOGRAM Perimeter and Area
• P = X(B + S)
• A =BH
40. Trapezoid Perimeter and Area
• P = B1 + B2 + A + C (the one and two are small and on the bottom of the letter)
• A= 1/2H(B1 =1B2)

B= BASE 1 AND BASE 2
41. Circle circumference and Area
• C = PIE (3.14)D OR C = 2(3.14)R
• A= 3.14(R^2)
 Author: kfyecats ID: 39209 Card Set: MTH111 Updated: 2010-10-05 02:59:06 Tags: Algebra Folders: Description: Algebra Show Answers: