Unit 1
Evaluate the expression:
-12 + 12
0
Solve the following expression:
-1500 / 30
-50
Simplify the expression:
12 + 13x - 52x + 5
-39x + 17
The radius of a circle is 15 cm. What is its diameter?
diameter = 30cm
You and your friend play a video game. You have a final score of 63 points, and your friend has a final score of -27 points. By how many points did you win?
36 points
Evaluate the following expression:
39 - 42
-3
Evaluate the following expression:
23 x 13
299
Simplify the expression:
12(7h - 13)
84h - 156
Solve the for all possible solutions in the following inequality:
6 + 5(4x - 3) >= 21
x >= 1 1/2 or 1.5
Fabio and Carlos play on a basketball team together. In the last game, Fabio had 7 points less than 2 times as many points as Carlos. Fabio scored 31 points in the game.
Write an equation and solve to determine the number of points (c) Carlos scored in the last game.
31 = 2c -7
c = 19
Carlos had 19 points.
Evaluate the following expression:
-16 + (-3) - 2 + 40
19
Evaluate the following expression:
18,592 / 83
224
Create an equivalent expression of the following expression:
4p - 12
4(p - 3)
-4(-p + 3)
Solve the equation below for the value of (r).
-1.5 - 1/2(2r - 4) = 24
r = -23 1/2 or -23.5
At the beginning of the season, MacDonald had to remove 5 orange trees from his farm. Each of the remaining trees has produced 210 oranges for a total harvest of 41,790 oranges.
Write an equation and solve to determine the initial number of orange trees (t) on MacDonald's farm.
210(t - 5) = 41,790
t = 204
Initial # of Orange Trees was 204
Evaluate the following expression:
139 - (-917)
1,056
Evaluate the following expression:
5.3 x (-11.9)
-63.07
Simplify the following expression:
-15r+21-6(2r - 4w + 9)-7w+33
-27r + 17w
The circumference of a circle is 43.16 meters. What is the approximate area? (Round to the nearest hundredth)
Area = 148.20 square meters
You downloaded a video game to your computer. You have a 60-minute free trial of the game. It takes 5 1/6 minutes to set up the game and 7 1/3 minutes to play each level. You want to find out how many levels you can play for free.
Write an inequality that describes the number of levels,(L) you can play in 60minutes?
5 1/6 + 7 1/3 (L) <= 60
For the following expression: |a| - |b|
Is the following true?
The difference will always be negative, when b > a
Not when b < 0...
b = -1 and a = -2 (still follows b>a rule)
|-2| - |-1| --> 2 - 1 = 1 (positive)
For the following expression: x(-y) + z
Is the following true:
The sum will always be positive, when:
x > 0 y < 0 z < y
No
When x = 1, the sum will be negative:
z = -4 1(-(-3)) + (-4)
x = 1 1(3) + -4
y = -3 -1
Simplify the following expression:
3/4t - 8.7(5t - 9.4m + 0.61)
(Round the nearest hundredth)
-42.75 + 81.78m - 5.31
Pi is the relationship between what parts of a circle?
The # of times the diameter fits around the length of a circle, it's circumference. (About = 3.16)
A manufacturing company is producing dinner plates with a diameter of 12 inches. They plan on putting a gold edge on each plate. Determine how much gold edging they need in inches by finding the approximate circumference of each plate. Round to the nearest tenth.
37.68 inches