Solving Equations
Simplify by combining like terms: (4y - 5)+(-3y +2)
y - 3
How do you solve fraction bars in Order of Operations?
Solve the numerator and denominator separately. Then divide at the end and simplify.
Find the next three terms in the pattern: 8, 15.5, 23, 30.5, ___, ___, ___ Describe the pattern.
38, 45.5, 53; First difference: +7.5
p3+p2+6p+6
( p2 +6) ( p+ 1)
33
27
Solve the equation: 4n + 1 = 12 + 5n
n = -11
Evaluate: 4[(3 + 2 * 3) - 5] + 7
23
The third and fourth terms of a sequence are 26 and 40. If the second differences are a constant +4, what are the first five terms of the sequence? ___, ___, 26, 40, ___
10, 16, 26, 40, 58; First difference: +6, +10, +14, +18; Second difference: +4
How do you solve fraction bars in Order of Operations?
108 - 17 * (2 + 3) = 23
22
4
Solve the equation: 3(2r - 1) + 5 = 5(r + 1)
r = 3
Insert inclusion symbols to make the equation true. 108 - 17 * 2 + 3 = 23
108 - 17 * (2 + 3) = 23
Find the equation for the pattern (x,y). (0,45), (1,43), (2,41), (3,39); y = ___x + ___
y = -2x + 45; Note: Pattern is -2
"Undistributing" or unwrapping our polynomial. ... The simplest situation in which we can
102
100
Solve the equation: 2(8y - 7) = 2(3 + 8y)
No solution
Evaluate if a = 6 and b = -3: 3b^2 + (2a)^2 -
153
Find the equation for the pattern. Use the equation to find the 10th term in the pattern. x=1, 2, 3, 4,...10; y=25, 29, 33, 37,...?
y = 4x + 21; 10th term (or when x = 10): y = 61
9
v
3
–
9
v
2
+
v
–
1
Submit
9
v
3
–
9
v
2
+
v
–
1
Submit
52 58
43
64
Solve the equation:(Answer in simplest form) 6 -(t/4) = 8 + (t/2)
t = -8/3
Evaluate the expression if a = -3, b = 5, and c = -4: [3a^3 + (b-c)] / |ab|
6
Long Reach High School's soccer team is purchasing shirts that cost $21 each. They also have to pay a $10 shipping fee. Make a table to represent how much it costs for 1 shirt, 2 shirts, and 3 shirts. Use the table to find a pattern and write an equation to represent the situation. How many shirts can they get if they have raised $325?
Equation: C = 21s + 10; They can buy 15 shirts.
3h,5h 3
h
92
81