Algebra 1B (4Week Summer School) Review

Add / Sub / Multiply Polynomials

100

(4x² +x³)+(5x³ −3x²)

What is 6x³ + x²

200

(4r² +5)−(r² −1)

What is 3r² + 6

300

(5x² + 5x⁴ )+ (5x² + 3x⁴ )

What is 8x⁴ + 10x²

400

Simplify: (5m³ − 3m⁴)− (4m⁴ − 2m³)

What is −7m⁴ + 7m³

500

(4m+5)(3m−4)

What is 12m² −m−20

Factor / Solve Quadratics by Factoring

100

Factor: k² −6k+5

What is (k−5)(k−1)

200

n² +12n+32

What is (n+4)(n+8)

300

Solve by factoring: x² −3x−18=0

What is {−3,6}

400

Solve by Factoring: x² +2x−24=0

What is {4, −6}

Discriminant / Quadratic Formula

100

Find the discriminant of each quadratic equation then state the number and type of solutions: −3x² −6x−3=0

What is 0; one real solution

200

Find the discriminant of each quadratic equation then state the number and type of solutions: n² +6n−7=0

What is 64; two real solutions

300

Solve by using the Quadratic Formula: m² +2m−3=0

What is {1, −3}

400

Solve by using the Quadratic Formula: 2n² +2n−12=0

What is {2, −3}

Rational Expressions #1

100

(x-5)*(x-5) / (x² + 9x + 20)

What is (x-5) / (x+4)

200

(n² + n – 6) / (2n + 6) • (2) / (2n + 2)

What is (n - 2) / (n + 2)

300

(1) / (p - 5) ÷ (p - 6) / (p² - 8p + 12)

What is (p - 2) / (p - 5)

400

(3) / (8n) + (n + 4) / (n + 1)

What is (8n² + 35n + 3) / (8n) • (n + 1)

500

(4) / (b - 6) – (3b + 6) / (3b)

What is (-b² + 8b + 12) / (b) • (b - 6)

Rational Expressions #2

100

(r² + 12r + 36) / (r² + 14r + 48)

What is (r + 6) / (r + 8)

200

(n² + 13n + 42) / (8) • (1) / (n + 6)

What is (n + 7) / (8)

300

(1) / (m + 6) ÷ (m - 6) / (m² + 8m + 12)

What is (m + 2) / (m - 6)

400

1/2 – 1/x

What is (x - 2) / (2x)

500

(x - 4) / (2x + 10) + (x - 2) / (2x + 10)

What is (x - 3) / (x + 5)