Algebra I – August 2024 Practice Flashcards

Practice questions based on the Algebra I August 2024 transcript covering factorization, linear functions, substitutions, graph shifts, and statistical analysis.

What is the correct factorization of the expression $x^2 1 4x 2 12$?

$$(x 2 2)(x 1 6)$$

Which of the provided situations can be modeled by a linear function?

A printer can print one page every three seconds.

Which expression is equivalent to $3(x^2 2 2x 1 3) 2 (4x^2 1 3x 2 1)$?

$$2x^2 2 9x 1 10$$

At Adelynn’s first birthday party, which equation calculates the number of nickels ($x$) if guests brought nickels, dimes, and quarters totaling $28$, with twice as many dimes as nickels and $12$ more quarters than nickels?

$$.05x 1 .10(2x) 1 .25(x 1 12) 5 28$$

According to the student's criteria, which trinomial is a fourth-degree trinomial with a leading coefficient of $2$ and a constant value of $5$?

$$2x^4 1 3x^2 1 5$$

When solving $4x^2 2 16 5 0$, which property justifies the first step of writing $4x^2 5 16$?

addition property of equality

Based on the provided options, which expression results in an irrational number?

$$1 3 1 3$$

Which equation has the same solutions as $x^2 1 6x 2 18 5 0$?

$$(x 1 3)^2 5 27$$

What are the height values, in inches, for the eight football players used to create the box plot?

$$76, 70, 72, 70, 69, 71, 78, 74$$

What is the average rate of change in dollars per book between $100$ and $350$ books sold, given profits of $\$50.00$ and $\$425.00$ respectively?

$$1.50$$

If $f(x) 5 x^2$, which function represents a shift of the graph of $f(x)$ $4$ units to the right and $3$ units down?

$$h(x) 5 (x 2 4)^2 2 3$$

In the plumber's fee function $p(h) 5 45 1 90h$, what is the best interpretation of the y-intercept?

The plumber charges $\$45$ to come to the house.

What is the solution to the inequality 2m 2 4 # 3(2m 1 4)?

m $ 24

Approximately what percentage of the West High School students who chose the Broadway theme were girls, given $68$ girls and $79$ boys chose it?

$$46$$

What is the sum of $2 54$ and $2 6$?

$$8 6$$

What are the solutions to the equation $f(x) 5 g(x)$ when $f(x) 5 x^2 2 5x 2 14$ and $g(x) 5 x 1 2$?

$22$ and $8$

Which polynomial is equivalent to the product of $x 5 4a^2 2 a 1 3$ and $y 5 a 2 5$?

$$4a^3 2 21a^2 1 8a 2 15$$

What is the equation of the line that passes through $(3, 7)$ and has a slope of $2$?

$$y 2 7 5 2(x 2 3)$$

Which of the listed sequences is a geometric sequence with a common ratio of $23$?

$$4, 212, 36, 2108, …$$

When solving $6 2 ax 5 ax 2 2$ for $x$ in terms of $a$ (where $a \neq 0$), what is the result?

$$4 a$$

Which function has the zeros $21, 3, ext{and } 24$?

$$h(x) 5 (x 1 1)(x 2 3)(x 1 4)$$

The expression $5a 1 2b$ is equivalent to which product?

$$5a imes 25b$$

In an arithmetic sequence where the first term is $4$ and the third term is $22$, what is the common difference?

$$23$$