TCA 3 One Variable Algebra

Which description represents an equation?

• A number is greater than or equal to negative two and four-tenths.

• A number minus two is thirty.

• Three times a number minus six

• A number to the fourth power

• x - 0

• x - 1

Which expression is equivalent to 20(320m - 25)?

• 20 · 320m - 20 · 25

• 20(290m)

• −5(320m)

• 20 · 251m − 25

The model represents an expression. Which model represents an equivalent expression?

• 
• 

Which expression is equivalent to (2d + 3) · 4?

• 8d + 3 · 2

• 2d + 3 · 4

• 8d + 3

• 8d + 12

Ana is taking a family vacation and wants to download some music to her smartphone. Her phone has a storage capacity of 12 gigabytes for music downloads. Last week she used 1.5 gigabytes to download two songs. Which equation can be used to find the number of gigabytes, g, that Sofie has available on her phone to download movies for the vacation?

• 1.5g = 12

• 12 / 1.5 = g

• g - 1.5 = 12

• g + 1.5 = 12

• x = -6

• x = 6

• x = 0.375

• x = -0.375

An equation is shown. 4x + 2x = -48 What value of x makes the equation true?

• x = -54

• x = -8

• x = -0.125

• x = -392

Which situation cannot be represented by the equation x + 12 = 40?

• Claire spent $40 on a pants and a shirt. The pants cost $12. What is x, the cost of the shirt in dollars?

• Nick rode his scooter 40 miles last week. He rode 12 miles on Tuesday and the rest of the miles on Wednesday. What is x, the number of miles Nicholas rode his bike on Wednesday?

• Two gamers scored a total of 40 points in a game. One gamer scored 12 points. What is x, the number of points scored by the other player?

• There are 40 students in a club at school. There are also 12 adults in the same club. What is x, the total number of students and adults in the group?

Which equation is true when x = -4?

• 2(4 - x) = 16

• 5x + 30 = 85

• 2(x + 11) = -16

• 5(10 - x) = 17