Algebra 1 CFA 1

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.

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:

2x - 8 = 20

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

• -320

• -80

• -32

• 320

Which is the correct solution for the equation below?

2(r + 5) - 4(r - 1) = 32

• r = -14

• r = -13

• r = -9

• r = 9