Quiz about Diagnostic Test Spring 2025

Question 1

6m2 + 16m

Accepted Answer

2m(3m + 8)

Answer

2(3m² + 8m)

Answer

2m(3m - 8m)

Answer

not factorable

Question 2

Factor:
x²+ 7x - 30

Accepted Answer

(x + 10)(x - 3)

Answer

(x + 10)(x - 7)

Answer

(x - 10)(x + 3)

Answer

(x + 10)(x + 3)

Question 3

Factor:
v² + 3v - 88

Accepted Answer

(v + 11)(v - 8)

Answer

(v + 22)(v - 4)

Answer

(v + 8)(v - 11)

Answer

(v - 22)(v + 4)

Question 4

Factor completely:
3x² + 18x +15
Hint: Factor GCF first.

Accepted Answer

3(x + 5)(x + 1)

Answer

3(x² + 6x + 5)

Answer

(x + 5)(x + 1)

Answer

Prime

Question 5

Which of the following is equivalent to:
$$2x^2-13x-70$$

Accepted Answer

$$\left(2x+7\right)\left(x-10\right)$$

Answer

$$\left(2x-7\right)\left(x+10\right)$$

Answer

$$\left(7x+5\right)\left(x+2\right)$$

Answer

$$2\left(x-7\right)\left(x+10\right)$$

Question 6

Factor Completely:
x² - 36

Accepted Answer

(x + 6)(x - 6)

Answer

(x + 9)(x - 4)

Answer

(x - 6)(x - 6)

Answer

(x - 9)(x + 4)

Question 7

Find the slope-intercept equation

Accepted Answer

y = 4x + 6

Answer

y = -4x - 6

Answer

y = 1/4x - 6

Answer

y = -1/4x + 6

Question 8

Find the graph of the standard form equation: 2x - 5y = -20

Accepted Answer

Option A is correct

Answer

B.

Answer

C.

Answer

D.

Question 9

Question 9.

Accepted Answer

y = -2x + 3

Answer

y = 2x + 3

Answer

y = -2x + 11

Answer

y = -2x - 11

Question 10

Question 10.

Accepted Answer

y = 1/2 x

Answer

y = -1/2 x

Answer

y = 2x - 10

Answer

y = -2x + 6

Question 11

What is the slope of this line?

Accepted Answer

m = undefined

Answer

m = 0

Answer

m = 3

Answer

m = 1/3

Question 12

What is the slope of this line?

Accepted Answer

m = 0

Answer

m = undefined

Answer

m = 5

Answer

m = 1/5

Question 13

What is the solution to the system of equations below?

$$2x+y=7$$
$$3x+2y=16$$

Accepted Answer

(-2,11)

Answer

(2,5)

Answer

(2,11)

Answer

(-2,-11)

Question 14

What is the solution?

Accepted Answer

(1, -1)

Answer

(-1, 1)

Answer

(0, -2)

Answer

(0, 1)

Question 15

Question 15.

Accepted Answer

x = 53

Answer

x = 49

Answer

x = 45

Answer

x = 18

Question 16

Solve and check your solution(s).

Accepted Answer

No solution

Answer

x = 2, 3

Answer

x = -2, -3

Answer

x = -1, -6

Question 17

Given the following table of values, construct the function that represents the sequence.

Accepted Answer

y = 3(4)x

Answer

y = 3x + 4

Answer

y = 4(3)x

Answer

y = 4x + 3

Question 18

Which graph does NOT pass the vertical line test?

Accepted Answer

Graph 1

Answer

Graph 2

Answer

Graph 3

Answer

Graph 4

Question 19

Which is the graph of y= -x + 2?

Accepted Answer

A

Answer

B

Answer

C

Answer

D

Question 20

The table shows the price of a cup of yogurt with up to 5 toppings. What is the rate of change in price with respect to the number of toppings?

Accepted Answer

$0.89 per topping

Answer

$2.99 per topping

Answer

$3.88 per topping

Answer

$1.24 per topping

Question 21

What is the equation of the graph?

Accepted Answer

y = 5

Answer

y = -5

Answer

x = -5

Answer

x = 5

Question 22

Identify the x-intercept of the graph.

Accepted Answer

(-4, 0)

Answer

(0, -2)

Answer

(0, -4)

Answer

(-2, 0)

Question 23

What is another name for the x-intercepts of a quadratic?

Accepted Answer

Zeros

Answer

y-intercept

Answer

x-axis

Answer

They don't have another name

Question 24

What is the solution?

Accepted Answer

No solution

Answer

(0, 2)

Answer

(0, -4)

Answer

(3, -3)

Question 25

What is the graph of the function

$$y=5\cdot2^x$$

Accepted Answer

Option D is correct

Answer

A.

Answer

B.

Answer

C.

Question 26

What was the maximum height of the water?

Accepted Answer

10 feet

Answer

0 feet

Answer

2 feet

Answer

3.85 feet

Question 27

-7(w-4)+3w - 27

Accepted Answer

-4w + 1

Answer

10w + 21

Answer

3w + 5

Answer

2w -  5

Question 28

Simplify:

1y - 2x - 3y + 4x

Accepted Answer

-2y + 2x

Answer

-2y - 2x

Answer

-4y - 6x

Answer

2y - 2x

Question 29

Solve 2x - 3 = 1

Accepted Answer

2

Answer

3

Answer

1

Answer

-2

Question 30

What would be the best first step to solving the equation in one step?

Accepted Answer

multiply both sides by -3

Answer

multiply both sides by 3

Answer

divide both sides by -3

Answer

add 3 to each side

Question 31

-5(x-6)=15

Accepted Answer

x=3

Answer

x=-2

Answer

x=-3

Answer

x=-9

Question 32

What is the range of the table?

Accepted Answer

{-4, 0, 1, 3}

Answer

{-2, 0, 2, 3}

Answer

{-4, -2, 0, 1, 2, 3}

Answer

{ (0, 0), (2, -4), (3, 3), (-2, 1) }

Question 33

What is the domain of the relation shown in the table?

Accepted Answer

{6, 18}

Answer

{12}

Answer

{3, 9, 15, 16}

Answer

{13}

Question 34

Discrete or Continuous?

Accepted Answer

Discrete

Answer

Continuous

Question 35

Is the graph pictured discrete or continuous?

Accepted Answer

Continuous

Answer

Discrete

Question 36

The following ordered pairs represent a relation.
{(1,3) , (5,15) , (2,6), (4,12) , (3,9)}
What are the range values from least to greatest!

Accepted Answer

{3, 6, 9, 12, 15}

Answer

{1, 5, 2, 4, 3}

Answer

{3, 15, 6, 12, 9}

Answer

{3}

Question 37

The table of values are shown. What is the range of the relation? From least to greatest.

Accepted Answer

(-8,-4,4)

Answer

(-4,-8,-3)

Answer

(-3,2,6)

Answer

(6,2,-3)

Question 38

Is the relation a function? Why.

Accepted Answer

No, because the x-value 11 has two y-values pair with it.

Answer

Yes, because the x-value 11 has two y-values pair with it.

Answer

Yes, because each x-value has only one y-value paired with it.

Answer

No, because each x-value has only one y-value paired with it.

Question 39

Does the graph represent a function?

Accepted Answer

No, because the vertical line test shows there are repeating input values

Answer

Yes, because the vertical line test shows there are no repeating input values

Question 40

Does this table represent a function?

Accepted Answer

Yes

Answer

No

Question 41

For the function f(x) = -3(x-1) find f(0).

Accepted Answer

3

Answer

0

Answer

-3

Answer

-1

Question 42

The function h(t) represents the height in inches of a plant after t weeks. What does the notation h(4) = 5 mean?

Accepted Answer

After 4 weeks the plant is 5 inches tall

Answer

After 5 week the plant is 4 inches tall

Answer

The plant grows at a rate of 5/4 inch per week

Answer

The plant grows at a rate of 1 inch per week

Question 43

Find the slope of the line.

Accepted Answer

-5/4

Answer

5/4

Answer

-4/5

Answer

4/5

Question 44

Are these two lines parallel, perpendicular or neither?

y = 7/3x - 5

y = 7/3x + 2

Accepted Answer

Parallel

Answer

Perpendicular

Answer

Neither

Question 45

Determine the slope and y-intercept.   y = 3/2x + 3

Accepted Answer

slope: 3/2   y-intercept:  (0,3)

Answer

slope: 5   y-intercept:  (0,3)

Answer

slope:  4  y-intercept:  (0,3/2)

Answer

slope: 1/5   y-intercept:  (0,5)

Question 46

Write equation of a line in point slope form that passes through (3,8) and has a slope of 5?

Accepted Answer

y-8=5(x-3)

Answer

y=5x+8

Answer

y-3=5(x-8)

Answer

y-y₁₌ m(x-x₁₎

Question 47

If x₁ is 3 and x₂ is 2, how would use the numbers in the slope formula?

Accepted Answer

2-3

Answer

2*3

Answer

3+2

Answer

3-2

Question 48

Find the slope of the line.

Accepted Answer

-1

Answer

-2

Answer

2

Answer

1

Question 49

Find the slope of the line that passes through:
(-4, 7) and (-6, -4)

Accepted Answer

11/2

Answer

2/11

Answer

13/2

Answer

3/10

Question 50

What is the x-intercept shown on the graph?

Accepted Answer

(4, 0)

Answer

(4, -2)

Answer

(0, -2)

Answer

(0, 4)

Question 51

What is the y-intercept shown on the graph?

Accepted Answer

(0, -2)

Answer

(4, -2)

Answer

(4, 0)

Answer

(0, 4)

Question 52

Given the list of ordered pairs, what is the x-intercept?
(8,10), (3, -4), (0, 8), (4, -3), (9, 0)

Accepted Answer

(9,0)

Answer

(8,10)

Answer

8, 3, 0, 4, 9

Answer

(0,8)

Question 53

Write the equation of the line.

Accepted Answer

y = -3/2x + 4

Answer

y = -2/3x + 4

Answer

y = 2/3x + 4

Answer

y = 3/2x + 4

Question 54

What is the equation of this line?

Accepted Answer

x = -2

Answer

0

Answer

undefined

Answer

y = -2

Question 55

Graph. y = -4

Accepted Answer

c

Answer

a

Answer

b

Answer

d

Question 56

Vertical or horizontal?
Slope of 0

Accepted Answer

horizontal

Answer

vertical

Answer

neither

Question 57

What is the solution to this system?

Accepted Answer

(1, -1)

Answer

(-1, 1)

Answer

(0, -2)

Answer

(2, 0)

Question 58

Simplify by combining like terms:
5a + 2b - 3a + 4

Accepted Answer

2a + 2b + 4

Answer

8a + 2b + 4

Answer

8ab

Answer

4ab + 4

Question 59

n -10 +9n -3=

Accepted Answer

10n -13

Answer

-3

Answer

9n-3

Answer

n

Question 60

Combine like terms
3x + 2x + 3y - 7y

Accepted Answer

5x - 4y

Answer

5x + 10y

Answer

5x + 4y

Answer

5x -10y

Question 61

Simplify the expression:
n -10 +9n -3

Accepted Answer

10n -13

Answer

-3

Answer

9n-3

Answer

n

Question 62

Solve for n:
2m - n = 8

Accepted Answer

n = 2m - 8

Answer

n = -2m - 8

Answer

n = 2m + 8

Answer

n = -2m + 8

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