Quiz about Solving Linear and Quadratic Systems

Question 1

Write an equation to represent the total cost, $$C$$ , if you buy $$n$$ notebooks at $2.5 each.

Accepted Answer

$$C = 2.5n$$

Answer

$$C = 2.5 + n$$

Answer

$$C = n + 2.5$$

Answer

$$C = 2.5n + 2.5$$

Question 2

Solve the quadratic equation $$x^2 - 9 = 0$$ .

Accepted Answer

$$x = \pm 3$$

Answer

$$x = 3$$

Answer

$$x = -3$$

Answer

$$x = 0$$

Question 3

Factor the expression $$x^2 - 16$$ .

Accepted Answer

$$(x - 4)(x + 4)$$

Answer

$$(x - 8)(x + 2)$$

Answer

$$(x - 2)(x + 8)$$

Answer

$$(x - 4)(x - 4)$$

Question 4

Create an equation in two variables to represent the relationship between the number of hours worked, $$h$$ , and the total pay, $$P$$ , if the hourly rate is $$15$$ .

Accepted Answer

$$P = 15h$$

Answer

$$P = 15 + h$$

Answer

$$P = h + 15$$

Answer

$$P = 15h + 15$$

Question 5

Solve the system of equations: $$y = 2x + 3$$ and $$x^2 + y^2 = 13$$ .

Accepted Answer

$$(1, 5)$$ and $$(-1, 1)$$

Answer

$$(2, 7)$$ and $$(-2, -1)$$

Answer

$$(1, 5)$$ and $$(-2, -1)$$

Answer

$$(2, 7)$$ and $$(-1, 1)$$

Question 6

Solve the quadratic equation $$3x^2 - 12x + 9 = 0$$ using the quadratic formula.

Accepted Answer

$$x = 1$$

Answer

$$x = 3$$

Answer

$$x = 2$$

Answer

$$x = 0$$

Question 7

Use the structure of the expression $$x^4 - 81$$ to rewrite it.

Accepted Answer

$$(x^2 - 9)(x^2 + 9)$$

Answer

$$(x^2 - 81)(x^2 + 1)$$

Answer

$$(x^2 - 3)(x^2 + 3)$$

Answer

$$(x^2 - 9)(x^2 - 9)$$

Question 8

Create an equation to represent the relationship between the distance $$d$$ traveled and the time $$t$$ taken if the speed is $$60$$ km/h.

Accepted Answer

$$d = 60t$$

Answer

$$d = 60 + t$$

Answer

$$d = t + 60$$

Answer

$$d = 60t + 60$$

Solving Linear and Quadratic Systems

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