Algebra 1

Solving Equations

Order of Operations

Patterns

Facto grouping / rates:ratios

Exponents

100

Simplify by combining like terms: (4y - 5)+(-3y +2)

y - 3

100

How do you solve fraction bars in Order of Operations?

Solve the numerator and denominator separately. Then divide at the end and simplify.

100

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

100

p3+p2+6p+6

( p²+6) ( p+ 1)

100

3³

200

Solve the equation: 4n + 1 = 12 + 5n

n = -11

200

Evaluate: 4[(3 + 2 * 3) - 5] + 7

200

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

200

How do you solve fraction bars in Order of Operations?

108 - 17 * (2 + 3) = 23

200

2²

300

Solve the equation: 3(2r - 1) + 5 = 5(r + 1)

r = 3

300

Insert inclusion symbols to make the equation true. 108 - 17 * 2 + 3 = 23

108 - 17 * (2 + 3) = 23

300

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

300

What does factor by grouping mean?

"Undistributing" or unwrapping our polynomial. ... The simplest situation in which we can

300

10²

100

400

Solve the equation: 2(8y - 7) = 2(3 + 8y)

No solution

400

Evaluate if a = 6 and b = -3: 3b^2 + (2a)^2 -

153

400

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

400

–

Submit

–

Submit

5²58

400

4³

500

Solve the equation:(Answer in simplest form) 6 -(t/4) = 8 + (t/2)

t = -8/3

500

Evaluate the expression if a = -3, b = 5, and c = -4: [3a^3 + (b-c)] / |ab|

500

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.

500

3h,5h ³

500

9²