Unit 1 Review

Combining Like Terms

100

Simplify:

4x + 6 - x

3x + 6

200

Simplify:

- 5x + 8 + 2x - 3

-3x + 5

300

Simplify:

-4a - 5 + 2(3a + b) + 3b + 2

2a + 5b - 3

400

Simplify

5m² + 2m - (m² - 8m + 7)

4m² + 10m - 7

500

Simplify

2m/3 (m² + 3) + 3m/2 - (m³ - m + 1)

2m³/3 + 2m + 3m/2 - m³ + m - 1

2m³/3 - m³ + 2m + 3m/2  + m - 1

2m³/3 - 3m³/3 + 4m/2 + 3m/2  + 2m/2 - 1

-1m³/3 + 9m/2 - 1

Solving Equations

100

Solve:

9x - 8 = 19

x = 3

200

Solve

2x + 1 < 5

x < 2

300

Solve:

4m - 7 = 3m + 6

m=13

400

Solve:

3k + 2(k - 1) > 10

3k + 2(k - 1) > 10

3k + 2k - 2 > 10

5k - 2 > 10

5k > 12

k > 12/5

500

Solve:

3(x - 2) + 2(x + 4) = 5x + 6

3(x - 2) + 2(4x + 1) = 5x + 39

3x - 6 + 8x + 2 = 5x + 39

11x - 3 = 5x + 39

6x - 3 = 39

6x = 42

x= 7

GraphingLinear Functions

100

What are the slope and y-intercept?

y = -2/3 x + 5

Slope: -2/3       y-intercept: 5

200

When graphing the linear equality will you use a dotted line or solid line?

y > -4x + 5

Dotted Line

300

What are the slope and y-intercept?

5x - 2y = 22

y = 5/2 x - 11

Slope: 5/2           y-intercept: -11

400

Sketch a graph:

2x - 3y = 6

y = 3/2x - 2

Slope: 3/2    y-intercept: -2

500

Sketch a graph:

2y >= 1/3 x - 2

(Mr. Sefami will write on board)

y >= 1/6 x - 1

slope : 1/6      y-intercept: -1

Solid line

Check (0,0) --> True --> Shade above!

Exponent Rules

100

Simplify:

5² * 5⁴

5⁶

200

Simplify:

(6⁹ / 6⁵ ) * 6

6⁵

300

Mr. Sefami will write on board

(2⁵ * 3²)/2²

2³*3² = 8 * 9 = 72

400

(a⁵ * b²) / (a² * b)

a³b

500

Spicy question #2 from review yesterday

f^-11h^-8g^-11 = 1/(f¹¹h⁸g¹¹⁾