Progress Check - Quadratic Equations and Systems

Simplify each expression. 1. (3 + i) – (7 + 6i)

Mathematical Equivalence

ON

Tags

CCSS.HSN.CN.A.2

Simplify each expression. 2. (3 – 4i)(5 + 2i)

• 23 - 14i

• 8-2i

• 15 - 8i

Tags

CCSS.HSN.CN.C.8

• 19

• -11

• 15i

Tags

CCSS.HSN.CN.A.1

Simplify each expression. 5. (–4 – 9i) + (5 – 7i)

Mathematical Equivalence

ON

Tags

CCSS.HSN.CN.A.2

Solve each quadratic equation. 6. x² – 16 = 0

• x = 4, x = -4

• x = 8, x = -8

• x = 16, x = -16

• x = 0, x = 16

Tags

CCSS.8.EE.A.2

Solve each quadratic equation. 7. 2x² – 3x – 11 = 0

Tags

CCSS.HSA-REI.B.4B

Solve each quadratic equation. 8. x² + 3x – 10 = 0

• (2,0) and (-5,0)

• (-2,0) and (5,0)

• (0,2) and (0,-5)

• (0,-1) and (0,10)

Tags

CCSS.HSA-REI.B.4B

Solve each quadratic equation. 9. 3x² + 48 = 0

• 4i

• -8i

• -4i

• 8i

Tags

CCSS.HSA-REI.B.4B

CCSS.HSN.CN.C.7

Your school sells yearbooks every spring. The total profit p made depends on the amount x the school charges for each yearbook. The profit is modeled by the equation p = -2x² + 70x + 520. What is the smallest amount in dollars the school can charge for a yearbook and make a profit of at least $1000?

Mathematical Equivalence

ON

Evaluate the discriminant of each equation. Determine how many real solutions each equation has.

11. x² + 5x + 6 = 0

• Discriminant = 1, Two real solutions

• Discriminant = 0, One real solution

• Discriminant = -1, No real solutions

• Discriminant = 25, Two real solutions

Tags

CCSS.HSA-REI.B.4B