Tạo đề luyện tập mới dựa trên đề thi Đại số cũ

A survey was taken to determine whether runners preferred morning runs or evening runs. Of the 150 runners surveyed, 68 were women. Of the 92 runners who preferred morning runs, 45 were men. Use this information to complete the frequency table below. Show all work to receive full credit.

A survey was taken to determine whether runners preferred morning runs or evening runs. Of the 30 runners surveyed, 14 were women. Of the 18 runners who preferred morning runs, 10 were men. Use this information to complete the frequency table below. Show all work to receive full credit.

Solve the inequality for $y$: $6(2-y)>-10y-4$. Show all work to receive full credit.

Solve the inequality for $y$: $3(2-y)>y-10$. Show all work to receive full credit.

Express $(3x-4)(-4x+5)$ as a trinomial in standard form. Show all work to receive full credit.

Express $(2x-1)(x+3)$ as a trinomial in standard form. Show all work to receive full credit.

The first and fourth terms in an arithmetic sequence are given below.

$-14$, , , $7$

Determine the eighth term. Show all work to receive full credit.

The first and fourth terms in an arithmetic sequence are given below.

$2$, , , $11$

Determine the eighth term. Show all work to receive full credit.

Write an equation in slope-intercept form for the line that passes through $(4,-1)$ and has a slope of $-2$. Show all work to receive full credit. [Use of the set of axes below is optional.]

Write an equation in slope-intercept form for the line that passes through $(2,1)$ and has a slope of $2$. Show all work to receive full credit. [Use of the set of axes below is optional.]

Factor the expression $4x^3-36x$ completely. Show all work to receive full credit.

Factor the expression $2x^3-8x$ completely. Show all work to receive full credit.

State the values of $x$ that satisfy the equation $f(x)=g(x)$. Show all work to receive full credit.

State the values of $x$ that satisfy the equation $f(x)=g(x)$. Show all work to receive full credit.

Using the quadratic formula, solve $2x^2+4x-3=0$. Express the answer in simplest radical form. Show all work to receive full credit.

Using the quadratic formula, solve $x^2+2x-1=0$. Express the answer in simplest radical form. Show all work to receive full credit.

State the linear regression equation for this set of data. Round all values to the nearest hundredth. Show all work to receive full credit.

State the correlation coefficient for this data set, to the nearest hundredth.

State what the correlation coefficient indicates about the linear fit of the data.

State the linear regression equation for this set of data. Round all values to the nearest hundredth. Show all work to receive full credit.

State the correlation coefficient for this data set, to the nearest hundredth.

State what the correlation coefficient indicates about the linear fit of the data.

Solve the following system of equations algebraically for all values of $x$ and $y$.

$y=x^2-2x-1$

$y-3x=-5$

Show all work to receive full credit.

Solve the following system of equations algebraically for all values of $x$ and $y$.

$y=x^2-1$

$y=2x+2$

Show all work to receive full credit.

If $x$ represents the number of hours Daniel spends stocking shelves and $y$ represents the number of hours he spends delivering groceries, write a system of inequalities that could model this situation. Show all work to receive full credit.

On the set of axes below, graph the system of inequalities that you wrote.

State a combination of hours stocking shelves and delivering groceries that would satisfy this situation. Justify your answer.

If $x$ represents the number of hours Daniel spends stocking shelves and $y$ represents the number of hours he spends delivering groceries, write a system of inequalities that could model this situation. Show all work to receive full credit.

On the set of axes below, graph the system of inequalities that you wrote.

State a combination of hours stocking shelves and delivering groceries that would satisfy this situation. Justify your answer.