CFA Algebra I Mathematics Quiz

Which of the following must be an irrational number?

• the sum of two irrational numbers

• the product of two irrational numbers

• the sum of a rational number and an irrational number

• the product of a rational number and an irrational number

Without simplifying, determine which of the following represent a rational number. Select all that apply.

• 4 2/3 + √3/9

• 4 2/3 - √4/8

• 4 2/3 ÷ √3/9

• 4 2/3 ÷ √4/8

Which of the equations shown have infinitely many solutions?

• 3x - 1 = 3x + 1

• 2x - 1 = 1 - 2x

• 3x - 2 = 2x - 3

• 2x + 2 = 2(x + 1)

Miguel solved an equation incorrectly, as shown below. When did Miguel first make a mistake?

• from the given to step 1

• from step 1 to step 2

• from step 2 to step 3

• from step 3 to step 4

Jane needs to solve this equation for x. Which would be the best first step Jane could make to solve the equation?

• divide 2x by 2

• divide both sides of the equation by 20

• subtract 8 from the left side of the equation

• add 8 to both sides of the equation

What is the value of x in the equation 4x – 2(x + 3) = 8?

• x = 1

• x = 2.5

• x = 3.5

• x = 7

How many solutions does the equation 4x + 2(x – 5) = 3(2x – 4) have?

• no solution

• exactly one solution

• at least two solutions

• infinitely many solutions

Mily wrote the equation -3x = -2x - 6. What is the value of x in this equation?

• x = 6

• x = -6

• x = 1/6

• x = -1/6

Solve the equation for y: \[ \frac{3}{2} y + 12 = \frac{7}{5} y - 20 \]

• A. -320

• B. -80

• C. -32

• D. 320

Which is the correct solution for the equation below? \[ 2(r + 5) - 4(r - 1) = 32 \]

• A. $ r = -14 $

• B. $ r = -13 $

• C. $ r = -9 $

• D. $ r = 9 $