Algebra I: 2nd Semester Final Exam Review Packet Answer Key (2016-2017) TOPIC

Example 1

Example 2 𝑥 ≤ −5

Example 3

𝑥 ≥ −2

x>2 1. Inequalities 𝑦>

2. Equation of a Line 3. Multiply or Factor Completely

3 𝑥−5 2

2 𝑥−4 3

1 𝑦 =− 𝑥+1 4

x2 – 14x + 49

(x + 6)(x – 6)

𝑦=

y = 3x + 3

2(x + 5)(x – 2) 3x(x – 4)

(3x – 5)(3x+ 5)

5

4. Factor and Solve

x = − 3 and x = 2

1

x = -2 and x = 3

x = 8 and x = -1

x = 5 and x = -4 5. Simplifying Radicals & Quadratic Formula 6. Solving Multiple Types of Equations 7. Solving Systems of Equations 8. Simplifying Exponents

4√2 x= −15√5

−1±√57 4

No Solution 77

x = -6.5

x = 13 and x = -5

x = -34

x = 9 and x = 1

x=0

(2, 7)

(3, -1)

(-4, 5)

16𝑥 20 𝑦 12

𝑧7

3𝑥 5 𝑦 9 5𝑧 3

𝑥2 3𝑦 2

𝑥8 𝑦8 −12𝑥12 𝑦 5 𝑧2

x=

3

y = (x – 5)(x + 3)

(0, -15)

9. Quadratic Equation (intercepts, vertex, graph, etc.)

10. Arithmetic and Geometric Sequences

(1, -16)

(-2, -3)

Type: Arithmetic Generator: +3 Initial Value: 2 Explicit Equation: t(n) = 3n + 2

11. Exponential Functions

a. b. c. d.

12. Exponential Equations from Two Points

y = 3(3)x

1.12 0.95 0.85 1.02

Type: Geometric 1 Generator: x3 Initial Value: 135 Explicit Equation: 1 𝑡(𝑛) = 135( )𝑛 3

t(-2) = -12

n=3

a. y = 1000(1.06)x y = 7(2)x b. $1262.48

8

y = 3(2)x

Direction: Outliers: Form: Strength: 13. Statistics

(5, 0) and (-3, 0)

positive 1 at (2.2, 4.5) Linear Strong

y = 9(1.5)x

Point A has a larger residual because it’s farther from the LSRL.

Slope: for every 1 ounce of meat, the cost increases by $0.74 Y-Int: 0 ounces of meat costs $0.23

$2.44

Residual = $0.76

I would rather have a negative residual because that means the actual cost is less than predicted.