Master Systems of Equations and Inequalities with our Expertly Crafted Practice Questions

High School
Algebra
Algebra I
Exponents and radicals

Recent questions in Exponents and radicals

nagasenaz 2021-02-09

Write a proportion to find how many points x a student needs to score on a test worth 150 points to get a test score of 96%.

Lipossig 2021-02-09

The profits from Ed’s Plumbing Co. increased by $14,460, or 30%, this year. What profit did the company earn last year?

he298c 2021-02-09

$2^{7} \times \sqrt{\frac{1}{4}}$

ossidianaZ 2021-02-08

For each systems of equations below choose the best method for solving and solve
3x+y=24
-x-y=-10

Wribreeminsl 2021-02-08

Solve the equations and inequalities below. Check your solution(s), if possible. $a .300 x - 1500 = 2400$
$b . (3 / 2)^{x} = (5 / 6)^{x} + 2$
$c . x^{2} - 25 \leq 0$
$d . | 3 x - 2 | > 4$

aortiH 2021-02-08

At a recent production of A Comedy of Errors, the Community Theater brought in a total of $30,495 in revenue. If adult tickets were $9 and children's tickets were $6.50, how many tickets of each type were sold if 3800 tickets in all were sold?

Emeli Hagan 2021-02-08

Multiply and simplify the rational expression: $(2 \frac{x}{3} y) \cdot (6 y - 4 x)$

CMIIh 2021-02-08

Teresa earns a weekly salary of $925 and a 5% commission on her total sales. Ramón earns a weekly salary of $1,250 and a 3% commission on sales. What amount of sales, x, will result in each of them earning the same amount for the week?

alesterp 2021-02-06

The ratio 216:x is equivalent to the ratio $x^{2} : 216$ . What is the value of x?

Joni Kenny 2021-02-06

Solve for the value of x upto correct decimal approximation $\log (x + 6) = \log (3 x - 2) + 2$
Solving this equation will determine the x-cordinate of the point of intersection of the function $y = \log x (x + 6) and y = \log (3 x - 2) + 2)$

vestirme4 2021-02-06

HOW DO I SOLVE THIS EQUATION -11+Z=7

snowlovelydayM 2021-02-06

You and your friend are saving for a vacation. You start with the same amount and save for the same number of weeks. You save $75 per week, and your friend saves $50 per week. When the vacation time comes, you have $950, and your friend has $800. How much did you start with, and for how many weeks did you save?
A. $150, 8 weeks
B. $75, 3 weeks
C. $500, 5 weeks
D. $500, 6 weeks

Wribreeminsl 2021-02-05

As part of the largest-to date damage award in a jury trial in history, the penalty handed down against the tobacco industry included a $74 billion judgment against Philip Morris. If this amount was 94% of this companys

Carol Gates 2021-02-05

Each of 5 friends has x action figures in his or her collection. Each friend buys 11 more action figures. Now the 5 friends have a total of 120 action figures.
a. Write an equation that models the problem.
b. Solve the equation to find the number of action figures, x, that each friend had originally.

Armorikam 2021-02-05

$d \frac{P}{d t} = k P (1 - \frac{P}{M}) (1 - \frac{m}{P}))$
$\frac{d P}{d t} = k P (1 - \frac{P}{M}) (1 - \frac{m}{P})$

Solve this differential equation using separation of variables. Only separate the equations and integration (not solving for P)
M= carrying capacity (maximum value)
m= threshold value (minimum value)
k= the proportionality constant

aflacatn 2021-02-05

Alice, Bernice, and Chery! shared some stamps in the ratio 8:9:18. Alice received 184 stamps. Find the number of stamps that Bernice and Cheryl each received.

Trent Carpenter 2021-02-04

Five more than eight times a number is the same as twenty-one less than a number.

beljuA 2021-02-03

The expression $\frac{p}{(x^{2}) - 5 x + 6}$ simplifies to $\frac{x + 4}{x - 2}$ . What expression does p represent?

When you are dealing with equations and inequalities, things are quite interesting as you will implement those complex algebra equations that will help you find the answers. It is what makes them so inspiring as you study to become an architect or an engineer. It is also a reason why solving equations and inequalities is encountered in most college subjects and courses that relate to design work. Take your time to see provided answers as it will let you learn how to solve linear equations and inequalities. Compare different answers and see how analysis is being used!

Algebra I