Master Algebra 1 Word Problems with our Comprehensive Practice

Find the absolute max and min values at the indicated interval
${\displaystyle f\left(x\right)=2x^3-x^2-4x+10,[-1,0]}$

Eric sells movie tickets. Adult tickets cost $8 and childrens

You have been asked to bake the birthday cake of a little girl who is about to turn three. When looking up suggestions online on how to bake this cake, you found that most everyone suggests baking the cake in smaller circular cake pans that have a diameter of 6 inches. That’s the best way to get the height for the unicorn head. A normal circular cake pan (and the only kind you have) has a diameter of 9 inches. You need to buy cake pans. As an experienced baker, you know that the recipe you are planning on using usually fills two regular (9-inch) cake pans, with a little room to spare. How many 6-inch pans do you need to buy? (We’re going to assume that all cake pans are the same height.)

The square of a number is added to two times the number and the sum is 24.

Two practical applications in which “piecewise functions” are used either explicitly

Which equation must be true?
A x−y=y−x
B m÷p=p÷m
C (d−e)−f=d−(e−f)
D (r+s)+t=r+(s+t)

Write each question in slope-intercept form. Are the equations the same of different? Explain.
${\displaystyle y+1=2x-32x-3=y+1}$

Write the equation of the line that passes through the point (-4, -9) and has a slope of 12

The rational numbers are dense in ${\displaystyle \mathbb{R}}$. This means that between any two real numbers a and b with a < b, there exists a rational number q such that a < q < b. Using this fact, establish that the irrational numbers are dense in ${\displaystyle \mathbb{R}}$ as well.

Explain how to complete the square for an expression of the form $x^2+bx.$
Add ? to ${\displaystyle x^2+bx.}$

a. Use a graphing calculator to find the equation of the line of best fit for the data below. Let x=8 represent 1998, x=9 represent 1999, and so on.
b. What is the slope of the line of best fit? What does the slope mean in terms of the number of computer and video game units sold?
c. What is the y-intercept of the line of best fit? What does the y-intercept mean in terms of the number of computer and viedo game units sold?

If eleven is added to the square of a number, the result is sixty, Find all such numbers.

${\displaystyle \left(3\frac{z}{8}\right)-\left(\frac{z}{10}\right)=6}$

Solve the equation and check your solution. ${\displaystyle \frac{20-2x}{7}=\frac{4x+9}{8}}$

${\displaystyle {\sin }^2(-x)+{\cos }^{2}x=1}$

${\displaystyle x+\left(\frac{3}{2}\right)+x+\left(\frac{2}{3}\right)=-(-x-2)}$

Graph linear and Y intercepts Y=4x-2

Graph each polynomial function. Factor first if the expression is not in factored form.
${\displaystyle f\left(x\right)=x^2(x+1)(x-1)}$

Solve the following absolute value inequality.
${\displaystyle |x-2|>6}$

Write each radical expression using exponents and each exponential expression using radicals. Radical expression Exponential expression $\sqrt[3]{y^4}$