Free Printable Algebra I Diagnostic

1.

Solve the following:
-2 x (3 + 8 ÷ 4)²

a)

-16

b)

1.375

c)

4

d)

-50

2.

Simplify by combining like terms:

5a + 2b - 3a + 4b

a)

8ab

b)

2a + 6b

c)

14ab

d)

8a - 2b

3.

7 x (7 - 4) ÷ 3

a)

8

b)

6

c)

7

d)

5

4.

Solve for a

a)

a= -2

b)

a= -6

c)

a= 3

d)

a= 15

5.

Solve for a

a)

a= -2

b)

a= -7.5

c)

a= 2

d)

a= 6

6.

Simplify the following expression:
3 + 5x + 8 - 2x

a)

-3x² - 11

b)

3x² + 11

c)

11 - 3x

d)

11 + 3x

7.

Simplify 8³

a)

512

b)

24

c)

4096

d)

288

8.

(-5)³

a)

-15

b)

125

c)

-125

d)

-625

9.

Evaluate.

a)

3/15

b)

1/125

c)

125

d)

3/125

10.

-7(10)=

a)

70

b)

700

c)

-70

d)

-700

11.

Answer the following: -12 - (-8)

a)

A. -4

b)

B. 4

c)

C. 20

d)

D. -22

12.

4 + (-4)

a)

8

b)

0

c)

-8

d)

NONE OF THE ABOVE

13.

Which operation would you do first?
( 12 + 10) ÷ 10 · 14 - 6

a)

Division

b)

Multiplication

c)

Addition

d)

Subtraction

14.

What are the coordinates of point H?

a)

(-4, 2)

b)

(4, -2)

c)

(-2, 4)

d)

(4, 4)

15.

What is the ordered pair for point K?

a)

(-3, -3)

b)

(3, -3)

c)

(-4, -4)

d)

(5, 8)

16.

On what axis would I expect to find point F?

a)

y-axis

b)

x-axis

17.

What is the origin?

a)

The point furthest away from the center of the coordinate plane

b)

The four regions of a coordinate plane

c)

the x-axis

d)

Where the x-axis and y-axis intersect

18.

What is the ordered pair of point C?

a)

(4, 2)

b)

(-2, 4)

c)

(-4, -4)

d)

(2, 4)

19.

The vertical number line is called the __________?

a)

x-coordinate

b)

x-axis

c)

y-axis

d)

y-coordinate

20.

Coordinate points (-1, 1) would lead me to which plot point?

a)

H

b)

G

c)

A

d)

J

21.

What will be the last coordinate of the rectangle?

a)

(1, 3)

b)

(8, 4)

c)

(8, 3)

d)

(7, 3)

22.

If $a=3$ , find $7-a$

a)

2

b)

3

c)

4

d)

5

23.

If a = 4 & b = 6, what is 3a + 5b?

a)

40

b)

42

c)

44

d)

46

24.

If x = 5, find the value of 7x - 1

a)

34

b)

36

c)

35

d)

-34

25.

If a = -2, b = 5 and c = 6, find 2c - 3a + b

a)

15

b)

23

c)

13

d)

11

26.

Evaluate u + xy, for u = 18 , x = 10 , and y = 8.

a)

188

b)

36

c)

98

d)

224

27.

What are the missing numbers in this pattern?

23, 28, ___, 38, ___, 48

a)

33, 42

b)

32, 42

c)

33, 43

d)

36, 42

28.

What are the missing numbers in this pattern?
22, 29, 36, ___, 50, ___

a)

35, 55

b)

40, 57

c)

41, 56

d)

43, 57

29.

How would you describe this pattern's rule?
23, 29, 35, 41

a)

Subtract 6

b)

Add 6

c)

Subtract 5

d)

Add 4

30.

How many counters would come next?

a)

5

b)

7

c)

9

d)

11

31.

Choose any correct solutions for values in the table.

a)

A = 13

b)

C = 40

c)

C = 12

d)

A= 45

32.

Choose any given values given that complete the chart.

a)

20 pencils

b)

24 pencils

c)

96 pencils

d)

42 pencils

33.

Hilbert burns 120 calories per 30 minutes of weight training. Complete the table to chart his calorie expenditure for different amounts of time. What is the value of a?

a)

a= 80

b)

a= 6

c)

a= 60

d)

a= 120

34.

If my function rule is 2x + 1, what is the OUTPUT if the input is 2?

a)

5

b)

4

c)

22

d)

23

35.

If my function rule is 4x, what is the OUTPUT if the input is 5?

a)

45

b)

54

c)

9

d)

20

36.

-8 - (-4) =

a)

12

b)

-12

c)

4

d)

-4

37.

simplify 16/44

a)

8/22

b)

4/11

c)

8/20

d)

2/5.5

38.

An elevator goes up 4 floors, then goes down 6 floors to the parking garage. What number best represents the level the elevator is on? (Assuming the ground is "zero")

a)

2

b)

-2

c)

10

d)

-6

39.

-5 + 3 x 2 - 4 =

a)

-3

b)

-8

c)

0

d)

-4

40.

-108 / 9 =

a)

12

b)

9

c)

-12

d)

-9

41.

Dividing a number greater than zero, BY zero will create an answer of:

a)

zero

b)

1

c)

negative zero

d)

undefined

42.

Write in order from least to greatest.
0.75, 0.39, 0.2, 0.35

a)

0.2, 0.35, 0.39, 0.75

b)

0.75, 0.39, 0.35, 0.2

c)

0.2, 0.39, 0.35, 0.75

d)

0.75, 0.35, 0.39, 0.2

43.

What is 4 ÷ 1/2?

a)

2

b)

8

c)

16

d)

20

44.

Fill in the blank with the correct sign >, < , or =
-1.8_____ 0.8

a)

>

b)

<

c)

=

45.

Solve the equation to find a:

20 = 2 - a

a)

a= 18

b)

a= -18

c)

a= -10

d)

a= 12

46.

What is the first step to solve this equation:
11 - 3x = 44

a)

Add 3 to both sides

b)

Subtract 11 from both sides

c)

Add 11 to both sides

d)

Divide 3 on both sides.

47.

What is the operation in the following expression? 4y - 8

a)

4

b)

y

c)

-

d)

8

48.

The sum of 6 and x

a)

x + 6

b)

6/x

c)

x + 4

d)

6x

49.

Identify the variables in the following expression: 4x + 2y - 6

a)

4, 2, -6

b)

-4 and x

c)

X and Y

d)

-6

50.

What word phrase can you use to represent "5x + 2"?

a)

five times the sum of a number x and two

b)

two times the sum of a number x and five

c)

a number x times the sum of five and two

d)

the sum of five times a number x and two

51.

You rented the carpet cleaner for 5 hours, how much would you pay?

a)

$36

b)

$40

c)

$42

d)

$38

52.

What is the distance between -8 and its opposite?

a)

8

b)

-8

c)

16

d)

-16

53.

What is the inverse operation of division?

a)

Division

b)

Multiplication

c)

Addition

d)

Subtraction

54.

What is the y-intercept of the equation?

y = 3x - 12

a)

(0, 3)

b)

(0, 12)

c)

(0, -4)

d)

(0, -12)

55.

Joey has 3 out of 20 coins in his collection. What percent does he have?

a)

7%

b)

15%

c)

20%

d)

30%

56.

Evaluate f(x)=-2x+13 for f(10)

a)

-7

b)

1

c)

-8

d)

7

57.

Evaluate f(x) = x² for f(-8)

a)

64

b)

-64

c)

-16

d)

16

58.

Evaluate f(33)

a)

33

b)

11

c)

10

d)

8

59.

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

a)

After 5 week the plant is 4 inches tall

b)

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

c)

After 4 weeks the plant is 5 inches tall

d)

The plant grows at a rate of 1 inch per week

60.

Level 3 Which equation matches the table?

a)

y = x + 5

b)

y = 5x

c)

y = x - 5

d)

x = y - 5

Algebra I Diagnostic

Total questions: 60

Worksheet time: 1hrs 21mins

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