Algebra and data analysis

If 3x + 5 = 20, what is the value of x?

• 1 15
• 2 5
• 3 3
• 4 25/3

The line y = 2x + 3 crosses the y-axis at the point:

• 1 (0, 2)
• 2 (3, 0)
• 3 (2, 3)
• 4 (0, 3)

If x + y = 10 and x − y = 2, what is x?

• 1 8
• 2 12
• 3 6
• 4 4

If f(x) = x² − 4x + 3, what is f(5)?

• 1 12
• 2 8
• 3 3
• 4 18

The mean of 5 numbers is 12. When one of the numbers, 20, is removed, what is the mean of the remaining 4?

• 1 8
• 2 10
• 3 15
• 4 12

A price increases from 40 to 50. What is the percent increase?

• 1 20%
• 2 25%
• 3 10%
• 4 50%

What are the solutions of x² − 7x + 12 = 0?

• 1 2 and 6
• 2 3 and 4
• 3 −3 and −4
• 4 1 and 12

What is the median of 3, 7, 8, 12 and 15?

• 1 9
• 2 12
• 3 8
• 4 7

A line is parallel to y = 3x − 1 and passes through (0, 4). What is its equation?

• 1 y = −3x + 4
• 2 y = 3x − 4
• 3 y = x/3 + 4
• 4 y = 3x + 4

A population of 100 bacteria doubles every 3 days. How many are there after 9 days?

• 1 900
• 2 300
• 3 800
• 4 600

If 2(x + 3) = 14, what is the value of x?

• 1 11
• 2 7
• 3 4
• 4 8

If 2x + y = 11 and x − y = 1, what is the value of x?

• 1 4
• 2 3
• 3 5
• 4 6

If f(x) = 3x − 2, what is f(4)?

• 1 14
• 2 12
• 3 6
• 4 10

What are the solutions of x² + 2x − 15 = 0?

• 1 −3 and 5
• 2 5 and 3
• 3 15 and −1
• 4 3 and −5

30 is 20 percent of what number?

• 1 600
• 2 6
• 3 60
• 4 150

What is the mean of 6, 8, 10 and 12?

• 1 8
• 2 10
• 3 9
• 4 40

Every value in a data set is increased by 5. By how much does the mean increase?

• 1 It cannot be known
• 2 5
• 3 0
• 4 25

A line passes through (0, −1) and has slope 4. What is its equation?

• 1 y = 4x + 1
• 2 y = x/4 − 1
• 3 y = 4x − 1
• 4 y = −x + 4

A balance of 200 grows by 10 percent each year. What is it after 2 years?

• 1 240
• 2 220
• 3 242
• 4 222

Which values of x satisfy 3x − 5 > 10?

• 1 x > 3
• 2 x > 5
• 3 x > 15
• 4 x < 5

Three pencils cost Rs 45. How much do 8 pencils cost at the same rate?

• 1 Rs 90
• 2 Rs 120
• 3 Rs 105
• 4 Rs 135

A bag has 3 red and 5 blue marbles. One marble is picked at random. What is the probability that it is red?

• 1 1/3
• 2 5/8
• 3 3/5
• 4 3/8

What is the median of 2, 5, 7, 9, 12 and 14?

• 1 8
• 2 7.5
• 3 7
• 4 9

If x² = 49 and x < 0, what is x?

• 1 −7
• 2 −3.5
• 3 −49
• 4 7

A cyclist travels 150 km in 2.5 hours. What is the average speed?

• 1 65 km/h
• 2 375 km/h
• 3 50 km/h
• 4 60 km/h

If g(x) = x² + 1, what is g(−3)?

• 1 −8
• 2 −10
• 3 10
• 4 8