Quiz about STAAR Calc Hacks

Question 1

Factor
x²+ 9x - 36

Accepted Answer

(x + 12)(x - 3)

Answer

(x + 9)(x - 4)

Answer

(x - 12)(x + 3)

Answer

(x - 9)(x - 4)

Question 2

Factor
k² - 2k - 24

Accepted Answer

(k+4)(k-6)

Answer

(k+4)(k+6)

Answer

(k+6)(k-1)

Answer

(k-4)(k+6)

Question 3

Which graph shows the parent function, p, of the function: $$f\left(x\right)=-\frac{1}{2}x+4$$ ?

Accepted Answer

Option C is correct

Answer

A.

Answer

B.

Answer

D.

Question 4

Question 4.

Accepted Answer

Option D is correct

Answer

A.

Answer

B.

Answer

C.

Question 5

Question 5.

Accepted Answer

B

Answer

A

Answer

C

Answer

D

Question 6

Evaluate f(-2) if f(x) = x²+ 3.

Accepted Answer

7

Answer

-1

Answer

1

Answer

-7

Question 7

Which expression is equivalent to $$\frac{1}{3}\left(6x^2y\right)^2\left(2x^3y^4\right)$$ ?

Accepted Answer

$$4x^7y^6$$

Answer

$$24x^7y^6$$

Answer

$$4x^{12}y^8$$

Answer

$$24x^{12}y^8$$

Question 8

What are the solutions to the following equation?

$$5\left(x+3\right)^2=75$$

Accepted Answer

$$-3\pm\sqrt[]{15}$$

Answer

$$-\frac{3}{5}\pm\sqrt[]{15}$$

Answer

$$-\frac{3}{5}\pm\sqrt[]{3}$$

Answer

$$-3\pm\sqrt[]{3}$$

Question 9

The total cost, y, for x tickets to a concert includes a flat fee for processing and a cost per ticket. One customer purchased 4 tickets for a total cost of $160. Another customer purchased 8 tickets for a total cost of $300.

Which linear equation represents the total cost in dollars, y, for x tickets?

Accepted Answer

y = 35x + 20

Answer

y = 40x

Answer

y = 37.5x

Answer

y = 20x + 35

Question 10

Which function is equivalent to $$f\left(x\right)=4\left(x-3\right)^2+5$$ ?

Accepted Answer

$$g\left(x\right)=4x^2-24x+41$$

Answer

$$g\left(x\right)=16x^2-96x+149$$

Answer

$$g\left(x\right)=4x^2+41$$

Answer

$$g\left(x\right)=16x^2-96x+29$$

Question 11

A system of linear equations is shown.

$$6x-2y=10$$

$$y=3x-5$$

Accepted Answer

The system has infinitely many solutions.

Answer

The system has one solution, (-1, -8).

Answer

The system has one solution, (3, 4).

Answer

The system has no solutions.

Question 12

Given the following table, determine when the diver resurfaces.

(Hint: determine if the function is linear, quadratic, or exponential first!)

Accepted Answer

12 seconds

Answer

11 seconds

Answer

13.5 seconds

Answer

12.5 seconds

Question 13

The solutions to p(x) = 0 are x = -7 and x = 7. Which quadratic function could represent p(x)?

Accepted Answer

$$p\left(x\right)=x^2-49$$

Answer

$$p\left(x\right)=x^2+49$$

Answer

$$p\left(x\right)=x^2-14$$

Answer

$$p\left(x\right)=x^2+14$$

Question 14

Which equation in slope-intercept form best represents the line that passes through these two points?

Accepted Answer

$$y=-\frac{10}{3}x-\frac{2}{3}$$

Answer

$$y=-\frac{2}{3}x-\frac{11}{3}$$

Answer

$$y=-\frac{11}{3}x-\frac{2}{3}$$

Answer

$$y=-\frac{2}{3}x-\frac{10}{3}$$

Question 15

Identify the vertex and whether the graph opens up or down.

Accepted Answer

(-5, 2); opens up

Answer

(5, 2); opens up

Answer

(5, 2); opens down

Answer

(-5, 2); opens down

Question 16

Identify the vertex and whether the graph opens up or down.

Accepted Answer

(1, 4); opens down

Answer

(-1, 4); opens up

Answer

(-1, 4); opens down

Answer

(1, 4); opens up

Question 17

Determine if the function graphed has a maximum or a minimum value and identify that value.

Accepted Answer

maximum at 4

Answer

maximum at -1

Answer

minimum at -1

Answer

minimum at 4

Question 18

Does this graph have a minimum or maximum? What point?

Accepted Answer

Minimum at (0, 2)

Answer

Minimum at (0, 0)

Answer

Maximum at (0, 0)

Answer

Maximum at (0, 2)

Question 19

Maximum or Minimum?

$$y=2\left(x-3\right)^2+6$$

Accepted Answer

Min = 6

Answer

Max = -3

Answer

Min = 3

Answer

Max = 6

Question 20

Maximum or Minimum?

$$y=-\left(x-4\right)^2-1$$

Accepted Answer

Max = -1

Answer

Max = -4

Answer

Min = -1

Answer

Min = 4

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