Quiz about TSI Prep #3

Question 1

Which of the following equations has both 1 and -3 as solutions?

Accepted Answer

$$x^2+2x-3=0$$

Answer

$$x^2-2x-3=0$$

Answer

$$x^2-4x+3=0$$

Answer

$$x^2+4x+3=0$$

Question 2

What is the solution to the equation

$$2\left(x+3\right)-3\left(x+5\right)=13?$$

Accepted Answer

-22

Answer

4

Answer

-12

Answer

5

Answer

15

Question 3

Which of the following is a factor of

$$4x^2-4x-3$$ ?

Accepted Answer

$$2x+1$$

Answer

$$4x-3$$

Answer

$$4x-1$$

Answer

$$2x+3$$

Question 4

Solve for x:

$$2x+3>4x-5$$

Accepted Answer

$$x<4$$

Answer

$$x>-4$$

Answer

$$x>4$$

Answer

$$x<-4$$

Question 5

What is the solution to this system?
$$2x+7y=-13$$

$$3x-4y=-5$$

Accepted Answer

$$\left(-3,-1\right)$$

Answer

$$\left(3,2\right)$$

Answer

$$\left(-1,-2\right)$$

Answer

$$\left(-3,0\right)$$

Question 6

Which of the following is a factor of $$7a^2b+14a^2b^2$$ ?

Accepted Answer

$$7a^2b$$

Answer

$$7a^2b^2$$

Answer

$$14a^2b$$

Answer

$$7ab$$

Question 7

Which is equivalent to $$x^2-9xy+14y^2\ \ ?$$

Accepted Answer

$$\left(x-7y\right)\left(x-2y\right)$$

Answer

$$\left(x+7y\right)\left(x-2y\right)$$

Answer

$$\left(x-7y\right)\left(x+2y\right)$$

Answer

$$\left(x-14y\right)\left(x-y\right)$$

Question 8

Simplify the following expression

$$\frac{x^3y^3-x^2y^2+xy}{xy}$$

Accepted Answer

$$x^2y^2-xy+1$$

Answer

$$x^2y^2+xy+1$$

Answer

$$x^2y^2-xy$$

Answer

$$x^2y^2+xy$$

Question 9

Which point below is NOT part of the solution set?

Accepted Answer

(-10, -10)

Answer

(0, 0)

Answer

(-1, 5)

Answer

(5, 20)

Question 10

Choose the correct inequality for this graph.

Accepted Answer

Option D is correct

Answer

A.

Answer

B.

Answer

C.

Question 11

Are the points on the line part of the solution set or not? For example

Accepted Answer

Yes, they are part of the solution set

Answer

No, they are NOT part of the solution set

Question 12

Identify the 'a' value: y = 16x² -8x -24

Accepted Answer

16

Answer

8

Answer

-8

Answer

-24

Question 13

Find the vertex of
f(x) = -x²- 4x + 12.

Accepted Answer

(-2, 16)

Answer

(2, 0)

Answer

(2, 4)

Answer

(-2, 4)

Question 14

If we have the equation y=ax²+bx+c, how can we can find the x-coordinate of the vertex?

Accepted Answer

-b/2a

Answer

-a

Answer

-b/a

Answer

b/2a

Question 15

Solve for y

Accepted Answer

-12

Answer

-42

Answer

14

Answer

-4

Question 16

$$4x\ +\ 6\ +\ 3\ =\ 17$$

Accepted Answer

$$x\ =2$$

Answer

$$x\ =\ 6.5$$

Answer

$$x\ =\ -6.5$$

Answer

$$x\ =\ -2$$

Question 17

Every real number is a_______.

Accepted Answer

A complex number

Answer

A positive integer

Answer

A rational number

Answer

A negative integer

Question 18

Name the property used

-5(6+11) = -5(6)+-5(11)

Accepted Answer

Distributive property

Answer

Associative property

Answer

Multiplicative property

Answer

Additive property

Question 19

In 2.3 hours, Jack Sparrow traveled 7.2 miles. How long will it take him to travel 24 miles?

Accepted Answer

7.67 hours

Answer

55.2 hours

Answer

3.13 hours

Answer

3.33 hours

Question 20

During the summer months, Robert formed a fantasy football league. In June, 41 members joined. In July, 26 members joined. In August, 37 members joined. If no one else joins during the summer, what is the least amount of people in Robert's fantasy football league?

Accepted Answer

104

Answer

26

Answer

67

Answer

63

Question 21

Given: $$y=\left(x-4\right)^2+1$$ what is the y-intercept? (Note: you should also know how to find the x-intercept of an equation)

Accepted Answer

17

Answer

11

Answer

5

Answer

-15

Question 22

Solve for x: $$5x+2y-4-\left(2y+5\right)=18+2x$$

Accepted Answer

x = 9

Answer

x = 10

Answer

x = 5

Answer

x = 3

Question 23

Given a monster truck can travel x miles per hour, how far can it travel in 90 minutes?

Accepted Answer

$$\frac{3}{2}x$$

Answer

$$\frac{2}{3}x$$

Answer

24 miles

Answer

$$90x$$

Question 24

What is the area of the triangle?

Accepted Answer

$$\frac{xy}{2}$$

Answer

$$x^2+y^2$$

Answer

$$x+y$$

Answer

$$x^2-y^2$$

Question 25

Assume this is a right triangle. If $$Y=8$$ , then what is the value of $$X\ ?$$

Accepted Answer

$$2\ \sqrt[]{7}$$

Answer

$$2$$

Answer

$$28$$

Answer

$$\sqrt[]{12}$$

Question 26

Given: $$h\left(x\right)=\frac{x}{x+1}$$ which of the following is true?

Accepted Answer

$$h\left(15\right)>h\left(10\right)$$

Answer

$$h\left(1\right)=0$$

Answer

$$h\left(0\right)=1$$

Answer

$$h\left(15\right)

Question 27

Which expression below is $$x=7$$ a solution for?

Accepted Answer

$$\sqrt[]{3x+4}=5$$

Answer

$$-14x=2$$

Answer

$$2x+12=10$$

Answer

$$\sqrt[]{2x+5}=12$$

Question 28

The rectangle below has the given length and width. Which expression shows the rectangle's perimeter?

Accepted Answer

$$10x+6$$

Answer

$$5x-3$$

Answer

$$6x^2-4$$

Answer

$$10x^4+6$$

Question 29

The area of the triangle is 12. What is the value of z?

Accepted Answer

6

Answer

1

Answer

3

Answer

4

Question 30

A store stocked 125 cans of popcorn for a weekend sale. That weekend, 70 of the cans sold. What percent of the cans of popcorn stocked were sold that weekend?

Accepted Answer

56%

Answer

50%

Answer

48%

Answer

60%

Question 31

Given: 12, 78, 56, 98, 45, 65, 45, 26 What is the range?

Accepted Answer

86

Answer

53.1

Answer

45

Answer

47

Question 32

$$x$$ is equal to:

Accepted Answer

-3

Answer

3

Answer

0

Answer

5.3

Question 33

What is the vertex?

Accepted Answer

(3, -1)

Answer

(2, 4)

Answer

(0, 8)

Answer

(4, 2)

Question 34

What is the equation for axis of symmetry?

Accepted Answer

x=3

Answer

y=3

Answer

x=5

Answer

x=1

Question 35

x=5 x=-2

Accepted Answer

Parallel

Answer

Perpendicular

Answer

Neither

Question 36

What is the equation of the line of the graph?

Accepted Answer

$$y\ =\ -\frac{1}{3}x\ +1$$

Answer

$$y\ =\ -\frac{1}{3}x\ +\ 3$$

Answer

$$y\ =\ -3x\ +\ 1$$

Answer

$$y\ =\ -3x\ +\ 3$$

Question 37

A bag contains 5 quarters, 2 dimes, and 4 pennies. What is the probability of picking a quarter?

Accepted Answer

5/11

Answer

5/6

Answer

1/3

Answer

5

Question 38

What is the probability of rolling a cube and having it land as a six?

Accepted Answer

1/6

Answer

5/6

Answer

1/3

Answer

1/2

Question 39

P(not A) =
*Remember to simplify.*

Accepted Answer

3/4

Answer

6/8

Answer

2/8

Answer

1/4

Question 40

What is the probability of rolling a cube and having land as an odd number?

Accepted Answer

1/2

Answer

3/4

Answer

1/3

Answer

2/5

Question 41

What is the probability of spinning the spinner and having it land on RED?

Accepted Answer

50%

Answer

33%

Answer

12%

Question 42

Question 42.

Accepted Answer

16

Answer

12

Answer

6

Answer

30

Question 43

Tell whether the angles are complementary or supplementary. Then find the value of x.

Accepted Answer

Supplementary; x=20

Answer

Complementary; x=3.4

Answer

Complementary; x=45

Answer

Supplementary; x=175

TSI Prep #3

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