Free Printable Diagnostic Test

1.

What is 5^-3 equal to?

a)

-15

b)

-125

c)

-1/125

d)

1/125

2.

What is (x²)³ equal to?

a)

x⁵

b)

x⁶

c)

x⁷

d)

x⁸

3.

What is the slope in the equation y=2x + 3?

a)

2

b)

3

c)

5

d)

Cannot be Determined

4.

$\frac{x}{4}\ +\ 7\ =\ 23$

a)

x =4

b)

x = 64

c)

x = -4

d)

x = 2

5.

$\frac{4}{5}=\frac{x-3}{5}$

a)

0

b)

7

c)

2

d)

3

6.

What does x equal?

$5\left(x-4\right)\ =\ 30$

a)

50

b)

25

c)

10

d)

2

7.

Which number line shows $x\ \le6\ ?$

a)

A

b)

B

c)

C

d)

D

8.

What does x equal?

$x-14\ge17$

a)

$x\ge3$

b)

$x\ge-31$

c)

$x\ge31$

d)

$x\le3$

9.

Solve the inequality. $2x-1\ge x+7$

a)

$x\ge2$

b)

$x\ge4$

c)

$x\ge6$

d)

$x\ge8$

10.

2 less than the product of 4 and a number is at most 6

a)

$4n-2<6$

b)

$4n-2\le6$

c)

$2-4n\ge6$

d)

$4n-2>6$

11.

Solve by using the LCD.

a)

x = 0, 5/2

b)

x = 5/2

c)

x = 0

d)

No Solution

12.

Solve by using the LCD.

a)

x = 1

b)

x = -3

c)

x = 0

d)

x = 3

13.

What is the y-intercept of the line: y = -2x + 6

a)

y

b)

unknown

c)

-2

d)

6

14.

Find the slope of the line.

a)

-2

b)

2

c)

-1

d)

1

15.

Find the slope of the line that passes through
(17, 2) and (17, -3)

a)

m=0

b)

m=undefined

c)

m=5

d)

m=-5

16.

Solve:

3x - y = 11

x + y = 5

a)

x = 4

y = 1

b)

x = 4

y = -1

c)

x = -4

y = 1

d)

x = -4

y = -1

17.

A theatre can hold 200 people. If the price of admission is $5 for an adult and $2 per child, find the number of each if the theatre is full and the profit is $577.

a)

59 adults and 141 children

b)

40 adults and 160 children

c)

60 adults and 140 children

d)

41 adults and 159 children

18.

The larger of 2 numbers is 5 less than triple the smaller number

If the sum of the two numbers is 71, find the two numbers.

(a)

19.

Terry had his car repaired at Ace Auto. He was charged $50 per hour of labor plus $150 for parts. His total bill for the repair before tax was $375. How many hours of labor was Terry charged for?

a)

2.5 hours

b)

4.5 hours

c)

7.5 hours

d)

10.5 hours

20.

Caleb is making lemonade and cookies for the school bake sale. He has 10 cups of sugar. He needs two cups of sugar for lemonade. Each batch of cookies uses 1 1/2 cups of sugar. What is the maximum number of cookie batches he can make?

Write the inequality to the problem.

a)

1.5x - 2 ≥ 10

b)

1.5x - 2 ≤ 10

c)

2x - 1.5 ≥ 10

d)

2x - 1.5 ≤ 10

21.

a)

A

b)

B

c)

C

d)

D

22.

At a birthday party 40% of the children had an ice-cream. 150 children attended the party. How many had an ice-cream?

a)

60

b)

70

c)

80

d)

90

23.

The computer Paul bought originally cost $620 but he was given a 30% discount. How much money did he save?

a)

$200

b)

$186

c)

$173

d)

$250

24.

The movie theater has 250 seats. 225 seats were sold for the current showing. What percent of seats are empty?

a)

10%

b)

20%

c)

80%

d)

90%

25.

A dealer buys a wrist watch for 225 uzs and spends 5 uzs on its repairs. If he sells the same for 300 uzs, find his profit percentage.

a)

20 %

b)

25 %

c)

30 %

d)

55 %

26.

Which symbol is used to indicate the union of two sets?

a)

$\cup$

b)

$\cap$

c)

$\not\subset$

d)

{ }

27.

Which of the following is a subset of A= {1,2,3}?

a)

{0}

b)

{0,1}

c)

{1,2}

d)

{2,3,4}

28.

Given the following :

A = {1, 2, 4, 5, 6}

B = {1, 3, 5, 7},

C = {2, 4, 6, 8}

Find B ∩ C

a)

{0, 2, 3}

b)

{1, 2, 3, 4, 5, 7, 8}

c)

{ }

d)

{8}

Diagnostic Test_MYP 4-5

Total questions: 28

Worksheet time: 56mins

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