Quiz about Algebraic Reasoning Review Day 3

Question 1

The table provided is made using the function $$y=x^2+4x+1$$ .

Between which pair of integers is a solution of the

equation $$x^2+4x+1=0$$ located?

Accepted Answer

Between -4 & -3

Answer

Between 0 & 1

Answer

Between -2 & -1

Answer

Between -3 & -2

Question 2

Solve $$\left(x+2\right)\left(x-11\right)=0$$ for x.

Accepted Answer

$$x=-2$$ or $$x=11$$

Answer

$$x=-2$$ or $$x=-11$$

Answer

$$x=2$$ or $$x=-11$$

Answer

$$x=2$$ or $$x=11$$

Question 3

Solve: $$x^2-9x+20=0$$

Accepted Answer

x = 4 and x = 5

Answer

x = - 4 and x = - 5

Answer

x = 20 and x = - 9

Answer

x = - 4 and x = 5

Question 4

Solve: $$x^2+12x+35=0$$

Accepted Answer

x = - 5 or x = - 7

Answer

x = 5 or x = 7

Answer

x = - 35 or x = - 1

Answer

x = - 9 or x = - 4

Question 5

The equation $$0.5x^2=32$$ represents the area of an isosceles right triangle. The x represents the height in feet of the triangle. Find the value of x that represents the height of the triangle.

Accepted Answer

8 ft

Answer

5 ft

Answer

7 ft

Answer

10 ft

Question 6

The equation $$h\left(t\right)=-0.6t^2+6t+5$$ represents the height (feet) of a stream of water being sprayed from a hose as a function of time (seconds). What is the start height of the water stream?

Accepted Answer

5 ft

Answer

0 ft

Answer

-0.6 ft

Answer

6 ft

Question 7

The equation $$h\left(t\right)=-0.6t^2+6t+5$$ represents the height (feet) of a stream of water being sprayed from a hose as a function of time (seconds). When is the back at the start height?

Accepted Answer

10 sec

Answer

0 sec

Answer

5 sec

Answer

7.5 sec

Question 8

Solve the equation: $$3x^2+5=32$$

Accepted Answer

$$\pm$$ 3

Answer

3 only

Answer

-3 only

Answer

No Solution

Question 9

A school choir is taking a trip. Those going on the trip will each pay $300, plus their share of the $2500 deposit. The function that represents the cost per person, c(p), for a given number of people going on the trip , p,

is $$c\left(p\right)=\frac{2500}{p}+300$$

Which answer best completes the sentence?

As more people go on the trip...

Accepted Answer

the cost decreases

Answer

the cost increases

Answer

the cost stays the same

Question 10

A school choir is taking a trip. Those going on the trip will each pay $300, plus their share of the $2500 deposit. The function that represents the cost per person, c(p), for a given number of people going on the trip , p,

is $$c\left(p\right)=\frac{2500}{p}+300$$

What is the cost if 20 people go on the trip?

Accepted Answer

$425

Answer

$550

Answer

$350

Answer

$0

Question 11

A school choir is taking a trip. Those going on the trip will each pay $300, plus their share of the $2500 deposit. The function that represents the cost per person, c(p), for a given number of people going on the trip , p,

is $$c\left(p\right)=\frac{2500}{p}+300$$

The choir director has decided they will only take the trip if the cost is under $345.

How many people must attend?

Accepted Answer

56 people

Answer

20 people

Answer

46 people

Answer

50 people

Question 12

Select the answer that best fits the situation.

Accepted Answer

about 0.016 ions

Answer

about 0.017 ions

Answer

about 0.018 ions

Answer

about 0.019 ions

Question 13

Look at the graphs and answer the question.

Accepted Answer

B

Answer

A

Answer

C

Answer

D

Question 14

Which type of function is modeled in the table?

Accepted Answer

Exponential

Answer

Linear

Answer

Quadratic

Answer

Neither

Question 15

Find the input when the output is 2.

Accepted Answer

x=-2

Answer

y=-2

Answer

y=0

Answer

x=-1

Question 16

What is x when f(x) = 3?

Accepted Answer

x=-1

Answer

x=-2

Answer

x=0

Answer

x=1

Question 17

Which x value is the best approximation for f(x)=0.5?

Accepted Answer

x is about 5

Answer

x is about -5

Answer

x is about -1

Answer

x is about 1

Question 18

What is the output when the input is -2?

Accepted Answer

y=2

Answer

y=1

Answer

x=0

Answer

x=-1

Question 19

Which answer choice represents the solution of

$$-3^{x-1}+2=-7$$

Accepted Answer

x=3

Answer

x=2

Answer

x=5

Answer

x=0

Question 20

Determine the solution to $$2\log\left(x+7\right)=2$$ .

Accepted Answer

x=3

Answer

x=-3

Answer

x=-1

Answer

x=1

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics