Master Algebra 1 Word Problems with our Comprehensive Practice

A bag of grapes is being divided into 24 smaller bags of 4 ounces each for snacks during a field trip. What is the division equation to find the number of ounces in the larger bag?

Find the slope of line parallel to 2y=6x+8

Find the fifth term of a geometric sequence on a calculator

If ${\displaystyle a_0=7}$ and ${\displaystyle a_{n+1}=a_n+12}$ for ${\displaystyle n\ge 0}$, how do you find the values of ${\displaystyle a_5}$?

Kay spends 250 min/wk exercising. Her ratio of time spent on aerobics to time spent on weight training is 3 to 2. How many minutes per week does she spend on aerobics? How many minutes per week does she spend on weight training?

Are certain measurements always irrational numbers?

I need two numbers that multiply to get -20 and add to get 1. I'm doing a quadratic functions problem and I can't find the answer to this part of the question.
It started out as finding the zero of the equation by factoring. The equation was $g(x)=2x^2+x-<!--\; -\; -->10$. I set it equal to zero, $x^2+x-<!--\; -\; -->20=0$. Now I have to factor but I can't find a way to. If it's prime, I don't know how to answer the main question.
$a\times <!--\; \times \; -->b=-<!--\; -\; -->20$ and $a+b=1$

I need to find the sum of the arithmetic sequence 3, 9, 15…, if there are 24 terms

What kind of a triangle is it if the angles of a triangle are represented by x, 3x + 20, and 6x

An average mark is computed for 100 students in Business, an average is computed for 300 students in Arts, and an average is computed for 200 students in Science. The average of these three averages is 85%. However, the overall average for the 600 students is 86%. Also, the average for the 300 students in Business and Science is 4 marks higher than the average for the students in Arts. Determine the average for each group of students by solving a system of linear equations.
Let $x_1,x_2,x_3$ represent the students in business, arts and science respectively.

$100x_1+300x_2+200x_3=86$
$100x_1+200x_3+4=300x_2$Not sure as to how to create an equation for the first one.

If now we have two irrational numbers $\mathrm{\alpha <!--\; \alpha \; -->}$ and $\mathrm{\beta <!--\; \beta \; -->}$, can we find sequences $\{a_n\}$, $\{b_n\}$ and $\{q_n\}$ with $q_n\to <!--\; \to \; -->\mathrm{\infty <!--\; \infty \; -->}$ as $n\to <!--\; \to \; -->\mathrm{\infty <!--\; \infty \; -->}$ such that
$|\mathrm{\alpha <!--\; \alpha \; -->}-<!--\; -\; -->\frac{a_n}{q_n}|<\frac{1}{q_n^2}\text{ and }|\mathrm{\beta <!--\; \beta \; -->}-<!--\; -\; -->\frac{b_n}{q_n}|<\frac{1}{q_n^2}?$

Write the first five terms of the geometric sequence ${\displaystyle a_1=1,r=\frac{1}{3}}$

Find the slope of any line perpendicular to the line passing through (3,−4) and (2,−3)

Find the measure of third angle if two angles of a triangle measure 60, 80

Write an equation of a line going through (-2,1) parallel to y = 1/2x - 3

Why do we need the minimum solution of (A, B) with respect to some funtion in Vieta jumping?
The minimal solution (A, B) with respect to some function of A and B, usually $A+B$, is taken. The equation is then rearranged into a quadratic with coefficients in terms of B, one of whose roots is A, and Vieta's formulas are used to determine the other root to the quadratic.
However, I do not fully see the need to take the minimal solution, can someone explain that step for me?

Find the nth partial sum of an arithmetic sequence on a calculator

3 odd consecutive numbers have a sum of 75. Find the greatest number

Find the slope of a line parallel to 10x−5y=8

Show that $|\mathbb{I}|=|\mathbb{R}|$