Chapter 3 Test Review Flashcards
y + 24 = 15
y = -9
82 = h - 17
h = 99
c + 41 = 45
c = 4
x - 32 = 10
x = 42
1/14y = 12
y = 168
-10v = -122
12.2
-75 = 15x
x = -5
-x/20 = 21
x = -420
11y - 13 = 53
y = 6
2/3x + 2 = 10
x = 12
(4x + 70)/3 = 0
x = -17.5
-1/2(w - 16) = 48
-1/2w + 8 = 48
-1/2w = 40
w = -80
In the game of basketball, you can score one point for a foul shot, two points for a regular shot, and three points for an outside shot. Manuel scored 33 points by making eight foul shots and three outside shots. How many regular shots did he make? Use the 5-step plan.
- x = regular shots
- 33 = 1(8) + 2x + 3(3)
- 33 = 8 + 2x + 9
33 = 17 + 2x
16 = 2x
8 = x - 33 = 1(8) + 2(8) + 3(3)
33 = 8 + 16 + 9
33 = 24 + 9
33 = 33
8(a-6) = -3 + 6a
8a - 48 = -3 + 6a
2a = 45
a = 22.5
8(m - 3) = 8(m + 4)
8m - 24 = 8m + 32
-24 = 32
No Solution; Empty Set
Five times a number increased by 32 is the same as the opposite of the number. Find the number.
5n + 32 = -n
4n = -32
n = -8
Sean weighs 20 lbs more than twice Brad’s weight. If Brad gains 20 lbs, together they’ll weigh 250 lbs. How much does each weigh now?
250 = 20 + 2b + b + 20
250 = 40 + 3b
210 = 3b
70 = b
Brad: 90 lb
Sean: 160 lb
When Amy collected her change, she realized that she had 5 times as many dimes as quarters. Her dimes and quarters totaled $8.25. How many quarters did she have?
50x + 25x = 825
75x = 825
x = 11 quarters
Prove: If ac = bc and c 0, then a = b
1. ac = bc
2. (ac) * 1/c = (bc) * 1/c
3. a(c * 1/c) = b(c * 1/c)
4. a * 1 = b * 1
5. a = b
- Given
- Multiplicative Property of Equality
- Associative Property of Multiplication
- Property of Reciprocals
- Identity Property of Multiplication
