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

osmane5e 2022-05-21

You and your friend are saving money for a vacation. You start with the same amount and save for the same number of weeks. You save 75 dollars per week, and your friend saves 50 dollars per week. When the vacation time comes, you have 950 dollars, and your friend has 800 dollars. How much did you start with, and for how many weeks did you save?
1) 150 dollars, 8 weeks
2) 75 dollars, 3 weeks
3) 500 dollars, 5 weeks
4) 500 dollars, 6 weeks

Monserrat Sawyer 2022-05-21

Ahmad earned 4 times more money babysitting last month than his sister Rachel. If Rachel earned $28 last month babysitting, write the equation that represents how much Ahmad earned.

Trevor Wood 2022-05-21

Find the value $3 y + 3$ given that $- 11 y - 7 = 4$

Brennen Fisher 2022-05-21

Solve the equations $y = x - 4 x$ and $y = x + 6$

dglennuo 2022-05-21

Please, help.
The population of a town increased from 1442 to 1868 btwn 2009 and 2012. Find the change of population per year if we assume the change was constant from 2009 to 2012.

Erick Clay 2022-05-20

A gym has yoga dasses. Each class has 13 students. Write an equation to represent the total number of students taking yoga, if there are classes.

Eliaszowyr1 2022-05-19

You buy a 175,000-dollar house at a time in which the value of real estate is increasing by 3.7% annually.
1) What was the value of the house two years before you bought it?
2) If the trend persisted and the house were properly maintained, how many years after purchase could the house be sold for a profit of 50,000 dollars?

Shamar Reese 2022-05-18

The length of the longer leg of a right triangle is 16 ft more than four times the length of the shorter leg. The length of the hypotenuse is 17 ft more than four times the length of the shorter leg.
Please, find the side lengths of the triangle.

motorinum6fh9v 2022-05-14

Solve equations and inequalities
$1) \frac{5 x^{2} + 2 x + 5}{x + 2} = 5 x + 1$
$2) \frac{2 x + 10}{x + 8} > \frac{4}{x + 8} - 2$

Shymesha Chatman2022-05-10

A soccer ball is kicked toward the goal. The height of the ball is modeled by the function h(t) = −16t2 + 48t where t equals the time in seconds and h(t) represents the height of the ball at time t seconds. What is the axis of symmetry, and what does it represent? (2 points)
t = 1.5; it takes 1.5 seconds to reach the maximum height and 3 seconds to fall back to the ground
t = 1.5; it takes 1.5 seconds to reach the maximum height and 1.5 seconds to fall back to the ground
t = 3; it takes 3 seconds to reach the maximum height and 3 seconds to fall back to the ground
t = 3; it takes 3 seconds to reach the maximum height and 6 seconds to fall back to the ground

Solve the equation. Then state whether the equation is an identity, a conditional equation, or an inconsistent equation.

4x+7=7(x+1)-3x

Trace Mcintyre 2022-05-01

Please, write inequalities to represent the situations:
1) The vehicle's fuel efficiency is no less than 40 miles per gallon. Use f to represent the vehicle's fuel efficiency (in miles per gallon)
2)To qualify for the championship, a runner must complete the race in less than 40 minutes. Use t to represent the time (in minutes) of a runner who qualifies for the championship.

Elise Winters 2022-04-26

Simplify as much as possible (solve for u)
$\frac{u}{6} - \frac{7 u}{2} = \frac{u}{12}$

Elise Winters 2022-04-23

How much time is needed for a sample of Pd-100 to lose 93.75% of its original amount? Pd-100 has a half-life of 3.634 days.

estrigaslju 2022-04-22

Solve for x using the quadratic formula
$3 x^{2} - 3 x - 5 = 0$

kulisamilhh 2022-04-22

Solve for x using quadratic formuls
$3 x^{2} + 6 x - 2 = 0$

Troszokd95 2022-04-22

Solve equations and inequalities:
$3 (2 x - 4) = - 2 (3 x - 1)$
$\frac{1}{3} (9 x - 6) = \frac{1}{2} (6 x + 2)$
$4 + 5 (2 - x) = 1 - 2 (2 x + 1)$

Troszokd95 2022-04-22

Solve
$2 - \frac{2 x - 1}{x} \leq \frac{2}{2 x + 1}$

bacfrancaiso0j 2022-04-21

Order the expressions by choosing $<, >, =$
${(\frac{1}{8})}^{- 1} ? {(\frac{1}{8})}^{- 2}$
$8^{- 2} ? {(\frac{1}{8})}^{- 1}$
$8^{- 2} ? {(\frac{1}{8})}^{- 2}$

Naomi Hopkins 2022-04-21

How many tickets did Mr. Assan sell, if he had 492 tickets left after the movie, he started with 2, 009 tickets.

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

	t = 1.5; it takes 1.5 seconds to reach the maximum height and 3 seconds to fall back to the ground
	t = 1.5; it takes 1.5 seconds to reach the maximum height and 1.5 seconds to fall back to the ground
	t = 3; it takes 3 seconds to reach the maximum height and 3 seconds to fall back to the ground
	t = 3; it takes 3 seconds to reach the maximum height and 6 seconds to fall back to the ground

Boost Your Math Skills with our Equations and Inequalities Practice Problems