Act Pre Algebra Prep

Find the slope of the line.

• -5/4

• 5/4

• -4/5

• 4/5

Answer explanation

To find the slope of the line, use the formula (y2 - y1) / (x2 - x1). After calculating with the given points, the slope is -5/4, which matches the correct answer.

Find the slope from the table:

• -2/5

• 5/-2

• 5/2

• 2/5

Answer explanation

To find the slope from the table, use the formula (change in y) / (change in x). The correct calculation yields a slope of 5/-2, which represents the rate of change between the given points.

Dev keeps a record in graph form of how far his car travels and the number of gallons of gasoline it uses.
What is the slope of the graph?

• 64

• 128

• 32

• 16

Answer explanation

The slope of the graph represents the car's fuel efficiency, calculated as miles per gallon. If Dev's car travels 32 miles per gallon, the slope is 32, indicating it uses 1 gallon of gas for every 32 miles traveled.

Graph. y = 2/3x - 3

• a

• b

• c

• d

Answer explanation

The equation y = 2/3x - 3 represents a linear function with a slope of 2/3 and a y-intercept of -3. The correct graph choice is 'a', which accurately depicts this line.

• 9xy²
• 18xy
• 3xy²+12x
• 9xy²-2y³

• A

• B

• C

• D

• E

What is the least common denominator for 6/7 and 1/2?

• 12

• 14

• 7

• 6

Answer explanation

To find the least common denominator (LCD) of 6/7 and 1/2, we determine the least common multiple (LCM) of the denominators 7 and 2. The LCM of 7 and 2 is 14, making it the least common denominator.

Four Hundred Two Thousand six and Nine Hundred Seventy -Three Ten Thousandths

• 402,006.9073

• 42,060.973

• 42,000,006.0973

• 402,006.0973

Answer explanation

The phrase 'Four Hundred Two Thousand six and Nine Hundred Seventy-Three Ten Thousandths' translates to 402,006.0973, where 'six' is the whole number part and '973' represents the decimal part.

Abigail is designing a rectangular garden and wants to create a walkway around it. The area of the garden is represented by x² - 25 square meters. What are the dimensions of the garden?

• ( x + 5 ) ( x - 5 )

• ( x - 5 ) ( x - 5 )

• ( x + 5 ) ( x + 5 )

• Unfactorable

Answer explanation

The expression x² - 25 is a difference of squares, which factors as (x + 5)(x - 5). This is the correct choice, as it represents the two binomials that multiply to give the original expression.

David is trying to find two numbers whose product is 6 and sum is 5. What are the numbers?

• (x - 3) (x - 2)

• (x + 3) (x - 2)

• (x + 3) (x + 2)

• (x + 2) (x - 3)

Answer explanation

To factor x² + 5x + 6, we look for two numbers that multiply to 6 and add to 5. The numbers 2 and 3 fit, leading to (x + 2)(x + 3) as the correct factorization.