Order of Operations
Combining Like Terms
Solving Equations
Coordinate Plane
Story Problems
100
-5 + -12 =
-17
100
7r - (-8r) =
7r + 8r = 15r
100
x + 7 = 5
Subtract 7 from both sides. x = -2
100
What are the coordinates to the five points in this picture? http://i.imgur.com/3y2oHXM.png
A (-7, 10); B (6, 3); C (-4, 0); D (-3, -6); E (2, -7)
100
My height is 68 inches. The total of your height and my height is 133 inches. What is your height?
Your height = h. Total means add our heights, so 68 + h = 133. Subtract 68 from both sides. h = 65 inches
200
13(-2) + 8 =
-26 + 8 = -18
200
-8y + 7 + -2y =
-8y + -2y + 7 = -10y + 7
200
2z - 8 = 4
Add 8 to both sides. 2z = 12. Divide both sides by 2. z = 6
200
In what quadrant or one what axis does each of the five points in this picture lie? http://i.imgur.com/3y2oHXM.png
A: Quadrant II; B: Quadrant I; C: negative x-axis; D: quadrant III; E: Quadrant IV
200
I think of a number, triple it, then add 7. The answer is 28. What is the number?
3x + 7 = 28. Subtract 7 from both sides. 3x = 21. Divide both sides by 3. x = 7. The number is 7.
300
3(-2) + 6 / (-2) =
-6 + -3 = -9
300
-7 + 4m -13 + (-2m) =
4m + (-2m) + (-7) + (-13) = 2m + (-20)
300
-3 + 2t = 11
Add 3 to both sides. 2t = 14. Divide both sides by 2. t = 7
300
Without plotting, in what quadrant does the point (1, -5) lie?
Quadrant IV
300
One side of an EQUILATERAL triangle is given by the expression 2x + 4. What is the perimeter of the triangle?
Perimeter means add up the sides. Equilateral means the sides have equal measure. Add up 2x + 4 three times. 3(2x + 4) = 3(2x) + 3(4) = 6x + 12
400
18 - 4[3 - (-2)] =
18 - 4[3 + 2] = 18 - 4[5] = 18 - 20 = -2
400
-9 + 4n - 2 + (-2n) + 3n =
4n + (-2n) + 3n + (-9) + (-2) = 2n + 3n + (-11) = 5n + (-11)
400
7m - 3 = 2m + 12
Subtract both sides by 2m. 5m - 3 = 12. Add 3 to both sides. 5m = 15. Divide both sides by 5. m = 3
400
Without plotting, in what quadrant does the point (-641, 115) lie?
Quadrant II
400
38 inches of wire are made into a rectangular circuit. The circuit is 13 inches wide. How long is the circuit?
2x + 2(13) = 38. 2x + 26 = 38. Subtract 26 from both sides. 2x = 12. Divide both sides by 2. x = 6. The circuit is 6 inches long.
500
7 - 4[-3 + 2(-1)] =
7 - 4[-3 + -2] = 7 - 4[-5] = 7 - -20 = 7 + 20 = 27
500
-7a + 5 - 9 + 3a + 3 - (-3a) =
-7a + 3a - (-3a) + 5 + (-9) + 3 = -4a + 3a + (-4) + 3 = -1a + (-1)
500
-8j + 10 = 3(j - 4)
Distribute 3 on the right side. -8j + 10 = 3j - 12. Add 8j to both sides. 10 = 11j - 12. Add 12 to both sides. 22 = 11j. Divide both sides by 11. j = 2
500
On what axis does the point (0, -999) lie?
Negative y-axis
500
You take a test with two papers. Paper 1's score is 7 points better than Paper 2's score. Your total score is 95 points. What is Paper 2's score?
Paper 2's score is unknown; call it x. Paper 1's score is 7 points more than Paper 2; call it x + 7. The total of their scores is 95. So x + 7 + x = 95. So 2x + 7 = 95. Subtract 7 from both sides. 2x = 88. Divide both sides by 2. x = 44. Paper 2's score is 44 points.