Free Printable Core 1 Diagnostic

1.

-4 - 2

a)

6

b)

-2

c)

-8

d)

-6

2.

-6k + 7k=

a)

k

b)

-k

c)

12k

d)

-12k

3.

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

a)

8a + 2b + 4

b)

2a + 2b + 4

c)

8ab

d)

4ab + 4

4.

Solve -5t + 9 = 24

a)

-3

b)

3

c)

-5

d)

12

5.

In the equation y=mx+b,
what does m represent?

a)

Nothing in particular

b)

The y-intercept

c)

The x-intercept

d)

Slope

6.

Name the y intercept

a)

4

b)

-1

c)

1

d)

-4

7.

Which of the following functions represents an initial amount of $15 and an increase of 35% each year?

a)

$y=15\left(35\right)^t$

b)

$y=15\left(0.35\right)^t$

c)

$y=15\left(1.35\right)^t$

d)

$y=35\left(1.15\right)^t$

e)

$y=15\left(135\right)^t$

8.

Classify the exponential function as growth or decay.

f\left(x\right)=1200\left(0.85\right)^x

a)

Growth

b)

Decay

9.

Classify the function as exponential growth or decay.

y=4\left(1.12\right)^x

a)

Growth

b)

Decay

10.

Identify the inequality graphed to the right.

a)

$y\ge-\frac{5}{4}x+3$

b)

$y\ge\frac{5}{4}x+3$

c)

$y\ge-\frac{4}{5}x+3$

d)

$y\le\frac{5}{4}x+3$

11.

Which equation below matches the graph shown to the right?

a)

$y=-2x-2$

b)

$y=x-2$

c)

$y=-x-2$

d)

$y=2x-2$

12.

This function has the constant rate of change.

a)

Linear

b)

Exponential

c)

Neither

13.

Who has the greater rate of change?

a)

Troy has the greater rate of change.

b)

Lucy has the greater rate of change

c)

They have the same rate of change

14.

Simplify the expression.

a)

7⁶

b)

7^-5

c)

1/7⁵

d)

7⁵

15.

(2⁸)²

a)

2¹⁶

b)

2¹⁰

c)

2⁶

d)

2⁴

16.

(5³x²y⁴)⁰

a)

5xy

b)

1

c)

0

d)

5

17.

a)

b)

c)

d)

18.

a)

b)

c)

d)

19.

Alex bought 50 collectible stamps at a garage sale. Each week, he purchases 30 stamps to add to his collection. How many weeks will he need to purchase stamps to have more than 500 stamps?

a)

50x + 500 < 30

b)

30x + 50 > 500

c)

500x + 30 > 50

d)

30x + 50 < 500

20.

Timothy has an account balance of $50. He deposits $30 after work everyday. How many days will he need to deposit $30 before he has at least $500

a)

30x -50 $\le$ 500

b)

50x + 30 $\ge$ 500

c)

500 + 30x $\le$ 50

d)

50 + 30x $\ge$ 500

21.

Solve the literal equation for the given variable.

a)

2A/h

b)

2/(h)

c)

2Ah

d)

Ah/2

22.

A-B = C
(solve for A)

a)

A = C - B

b)

A = C + B

c)

A - C = B

d)

B = A - C

23.

-13t > 26

a)

t > -2

b)

t > 2

c)

t < 2

d)

t < -2

24.

3x - 2 ≥ 34

a)

x ≥ -12

b)

x ≤ -12

c)

x ≤ 12

d)

x ≥ 12

25.

What is the solution?

a)

No solution

b)

(0, 2)

c)

(0, -4)

d)

(3, -3)

26.

a)

(2, -2)

b)

(2, 2)

c)

(-2, 2)

d)

(-2, -2)

27.

If a system of linear equations has infinitely many solutions, what does this mean about the two lines?

a)

Intersecting lines

b)

Same line

c)

Parallel lines

28.

f(x)=x²-5x
f(4)=

a)

-4

b)

126

c)

24

d)

84

29.

Is this table a function or not a function?

a)

Function

b)

Not a Function

30.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

31.

Find the slope of the line.

a)

-2

b)

2

c)

-1

d)

1

32.

Find the slope of the line that passes through the points (2, 4) and (6, 12)

a)

1/2

b)

-1/2

c)

2

d)

-2

33.

What does 'b" represent in y=mx=b

a)

y-intercept

b)

macaroni

c)

nothing

d)

slope

34.

Slope is another word for:

a)

Initial Value

b)

Rate of Change

c)

Change in Y's

d)

Y-intercept

35.

What is the slope?

a)

-1/3

b)

-3

c)

-4

d)

5

36.

Given the sequence 2, 8, 14, 20, 26, ... What is the common difference?

a)

2

b)

4

c)

6

d)

8

37.

Is the sequence geometric? If so, identify the common ratio.

6, 12, 24, 48

a)

yes, 2

b)

yes, -2

c)

yes, 4

d)

no

38.

Describe the pattern in the sequence. Find the next three terms.

13, 15, 17, 19,...

a)

Add 2; 23, 25, 27

b)

Multiply by 2; 38, 76, 152

c)

Add -2; 17, 15, 13

d)

Add 2; 21, 23, 25

39.

What is the difference between an arithmetic sequence and a geometric sequence?

a)

One is the sum of the numbers and one is just a list of numbers.

b)

One has a common difference and one has a common ratio.

c)

One you can write an nth term and one you cannot.

d)

None of these are correct.

40.

When you translate, (x-4,y) will move _____.

a)

4 units right

b)

4 units left

c)

4 units up

d)

4 units down

41.

When you translate, (x,y+6) will move _____.

a)

6 units right

b)

6 units left

c)

6 units up

d)

6 units down

42.

Write a rule for the translation.

a)

(x -1, y + 2)

b)

(x -2, y + 1)

c)

(x +2, y - 1)

d)

(x +1, y - 2)

43.

Identify the transformation from ABC to A'B'C'.

a)

90^o clockwise rotation

b)

90^o counter clockwise rotation

c)

Reflection across the y-axis

d)

Reflection across the x-axis

44.

Identify the transformation from ABCD to A'B'C'D'.

a)

Translation

b)

Reflection across the y-axis

c)

Reflection across the x-axis

d)

90^o counter clockwise Rotation

45.

Describe the Transformation

a)

Translation

b)

Rotation

c)

Reflection

46.

Angle 3 and Angle 6 are examples of which type of angle pair?

a)

Alternate exterior angles

b)

Alternate interior angles

c)

Vertical angles

d)

Corresponding angles

47.

Angle 6 and Angle 7 are examples of which type of angle pair?

a)

Alternate exterior angles

b)

Alternate interior angles

c)

Vertical angles

d)

Corresponding angles

48.

If the $m\angle7\ =\ 115\degree,$ find the measure of $\angle2.$

a)

$115\degree$

b)

$65\degree$

c)

$180\degree$

d)

Cannot be determined

49.

What is the value of x?

a)

15

b)

16

c)

18

d)

19

50.

Find the m∠1

a)

67

b)

113

c)

180

d)

23

51.

Name the postulate, if possible, that makes the triangles congruent.

a)

SSS

b)

SAS

c)

ASA

d)

Not Possible

52.

Name the postulate, if possible, that makes the triangles congruent.

a)

SAS

b)

ASA

c)

AAS

d)

Not Possible

53.

∠A = ≅

a)

∠M

b)

∠N

c)

∠L

54.

Are the triangles definitely congruent? If so, by what theorem?

a)

SSS

b)

SAS

c)

AAS

d)

Not Possible

55.

Number of pets a person has and number of books a person has read

a)

Positive Correlation

b)

Negative Correlation

c)

No Correlation

56.

What kind of correlation?

a)

Positive

b)

Negative

c)

No

57.

What kind of correlation?

a)

Positive

b)

Negative

c)

No

58.

Which with is the line of best fit?

a)

A) Black

b)

B) Orange

c)

C) Red

d)

D) Blue

59.

What is a, the starting term, for the function: f(x) = 300(1.16)^x?

a)

300

b)

1.16

c)

.16

d)

x

60.

Is the pictured graph growth, decay, or linear or none?

a)

Exponential Growth

b)

Exponential Decay

c)

Linear

d)

None

61.

Given y=3^xdetermine the asymptote

a)

(0,1)

b)

(0,3)

c)

x=0

d)

y=0

62.

Write an equation that models the following situation:

The current student count at John Jay is 6500, it is expected to grow at a rate of 14% next year.

a)

y= 6500(1+.14)^x

b)

y= 6500(1-.14)^x

c)

y= 6500(14)^x

d)

y= 14(6500)^x

63.

Change 6.5% to a decimal

a)

.65

b)

6.5

c)

.065

d)

.065%

64.

Caiden deposited $475 in an account that pays an interest rate of 3.8% compounded annually. What will be his balance after 15 years?

a)

$827.52

b)

$831.10

c)

$839.45

d)

$846.80

65.

Quarterly means how many times a year?

a)

4

b)

2

c)

1

d)

6

66.

Semi-Annually means how many times a year?

a)

4

b)

2

c)

1

d)

6

67.

Which system of inequalities matches the graph?

a)

y > 2x - 4
y < 2

b)

y < 2x - 4
y < 2

c)

y > 2x - 4
y < 2

d)

y < 2x - 4
y < -2

68.

Solve the system of inequalities by graphing.

a)

b)

c)

d)

69.

What is the domain of a relation?

a)

the set of all x-values

b)

the set of all y-values

70.

Which is the set of all y-values or the outputs?

a)

Domain

b)

Range

c)

Relation

d)

Function

71.

Identify the slope and y-intercept of:
y = 1/5x + 5

a)

slope: 1/6 y-intercept: 4

b)

slope: 1/5 y-intercept: 5

c)

slope: 5/1 y-intercept: 5

d)

slope: 1 y-intercept: 5

72.

Write a rule: A plumber charges $50 for a house call plus $12 per hour for labor.

a)

y = 50 x + 12

b)

y = 50 + 12 x

c)

y = 62 x

d)

x = 50 + 12y

73.

What is the definition of a function?

a)

Has inputs and outputs

b)

Every input has only ONE output

c)

Inputs have different outputs every time

d)

x-values and y-values

74.

Find the slope of the line.

a)

Undefined

b)

0

c)

1

d)

-1

75.

Transform from standard form to slope intercept form: 2x-3y=10

a)

y=-2x+10

b)

y= 2/3x-10/3

c)

y=-2/3x+ 10/3

d)

y=2/3x+10

Core 1 Diagnostic

Total questions: 75

Worksheet time: 2hrs 7mins

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