Algebra Topic 1 & 2 Review

Algebra Topic 1 & 2 Review

by Perla Galindo

Multiple Choice

Which mapping diagram represents a function?

Multiple Select

Select the list of ordered pairs that are NOT FUNCTIONS.

Multiple Choice

Look at the graph. Does this represent a function or not?

• Function because it touches the vertical line once.

• Not a Function because it touches the horizontal line twice.

• Function because it touches the horizontal line twice. 

• Not a function because it touched the vertical line once.

Multiple Choice

Look at the graph. Does this represent a function or not?

• Function because it touches the vertical line once.

• Not a Function because it touches the vertical line twice.

• Function because it touches the horizontal line twice. 

• Not a function because it touched the vertical line once.

Multiple Choice

Does the following table represent a function? Explain.

• Not a function because the x repeats.

• Function because every input is paired with exactly one output. 

• Not a function because the y repeats. 

• Function because the 5 repeats. 

Multiple Choice

What is the domain of the function pictured in the graph ?

• −1 ≤ 𝑥 ≤ 6

• −1 ≤ 𝑦 ≤ 6

• −2 ≤ 𝑥 ≤ 5

• −1 ≤ 𝑦 ≤ 6

Multiple Choice

What is the domain of this function?

• 4 ≤ 𝑦 ≤ 13

• 𝑥 ≥ 0

• y ≥ 0

• 4 ≤ 𝑥 ≤ 13

Multiple Choice

To raise funds for a trip, members of a high school math club are holding a game night in the gym. They sell tickets at $5 per person. The gym holds a maximum of 250 people. The amount of money raised is a function of the number of tickets sold. Which statement accurately describes the domain of the function?

• all numbers less than 250

• all integers

• all positive integers

• all positive integers less than or equal to 250

Multiple Choice

Function 𝑤 gives the weight of a cat, in kilograms, when it is 𝑚 months old. Which statement represents the meaning of the equation 𝑤(7) = 4 in this situation?

• The cat weighs 7 kilograms when it is 4 months old.

• The cat weighs 4 kilograms when it is 7 months old.

• The weight of the cat has been 7 kilograms for 4 months.

• The cat weighs 4 kilograms when it is 7 years old.

Multiple Choice

Function 𝐶 gives the cost, in dollars, of buying 𝑛 apples. Which statement best represents the meaning of 𝐶(10) = 9?

• The cost of buying 9 apples

• The cost of 9 apples is $10

• The cost of 10 apples

• Ten apples cost $9.

Multiple Choice

Function 𝑓 gives the temperature, in degrees Celsius, 𝑡 hours after midnight. Choose the equation that represents the statement: “At 1:30 p.m., the temperature was 20 degrees Celsius."

• 𝑓(1: 30) = 20

• 𝑓(1.5) = 20

• 𝑓(13: 30) = 20

• f(13.5) = 20

Multiple Choice

The value, 𝑉, of an investment is given by the function 𝑉(𝑡), where 𝑡 is the number of years since 1995 and 𝑉 is measured in thousands of dollars. Which equation indicates that the investment had a value of $8,000 in 2005?

• 𝑉(8) = 10

• 𝑉(8,000) = 2005

• 𝑉(10) = 8

• 𝑉(2005) = 8,000

Multiple Choice

When solving for the value of 𝑥 in the equation 4(𝑥 − 1) + 3 = 18, Aaron wrote the following lines on the board.

Line 1 4(𝑥 − 1) + 3 = 18

Line 2 4(𝑥 − 1) = 15

Line 3 4𝑥 − 1 = 15

Line 4 4𝑥 = 16

Line 5 𝑥 = 4

Which property was used incorrectly when going from line 2 to line 3?

• Distributive

• Commutative

• Associative

• Multiplicative Inverse

Multiple Choice

Which property of equality can be used to justify this step?

• Substitution Property of Equality

• Summation Property of Equality

• Addition Property of Equality

• Subtraction Property of Equality