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

Tiffany Towns2022-08-15

please help me understand how to get the answer

Determine which of the following ratios is equal to the give ratio 3/7

Mohammad Cannon 2022-06-22

Julia was participating in the math quiz bowl at school and was asked to study the four equations listed to see which two equations had the same value for y. If she answers correctly, her team will win the math quiz bowl.
Which two equations should Julia select in order for her team to win the math quiz bowl?
1) $40 + y = 6$
2) $y + 16 = 23$
3) $35 - y = 27$
4) $8 y = 72$

Yahir Crane 2022-06-21

In order to design an appropriate touchscreen for a computer, the manufacturer has to consider the average size of the fingers and hands that will be touching the screen. One lab found that the average width of the index finger for adults is from 1.6 cm to 2 cm wide.
1. All the measurements on this page are inclusive. Explain what that means for the inequality symbols you will use.
2. Write the average width as an inequality using centimeters.
3. One centimeter = 0.39 inches. Write the average width as an inequality using inches.

juanberrio8a 2022-06-21

Solve, please:

1) $\frac{8}{x + 1} = \frac{4}{3}$
2) $\frac{x + 3}{3 x - 6} > 0$
3) $2 x + 3 = \frac{x}{4}$
4) $\frac{1}{x^{2} - 4} \leq 0$
5) $\frac{4}{x} + \frac{1}{3 x} = 9$
6) $\frac{x + 32}{x + 6} \leq 6$
7) $\frac{4}{x} + \frac{1}{x^{2}} = \frac{1}{5 x^{2}}$
8) $1 + \frac{2}{x + 1} < \frac{2}{x}$
9) $\frac{x - 3}{2 x + 10} + 2 x - 12 = \frac{x^{2} + 3 x - 18}{2 x + 10}$
10) $\frac{12 x^{3} + 16 x^{2} - 3 x - 4}{8 x^{3} + 12 x^{2} + 10 x + 15} < 0$

Jeffery Clements 2022-06-18

Yoko's Coffee Shop makes a blend that is a mixture of two types of coffee, Type A coffee costs Yoko 5.30 dollars per pound, and type B coffee costs 4.25 dollars per pound. This month's blend used twice as many pounds of type B coffee as type A, for a total cost of 538.20 dollars.
How many pounds of type A coffee were used?

Erin Lozano 2022-06-18

Sarah has an average of 94 on her 5 science quizzes. If her teacher drops her lowest grade of 81. Write an expression that can be used to find Sarah's new science quiz average, please.

Hailie Blevins 2022-06-16

Which statement about the equation $x + 1400 = 2100$ is true?

1) The value $x = 1.5$ makes the equation true because $2100 \div 1400 = 1.5$
2) The value $x = 300$ makes the equation true because $2100 - 1400 = 300$
3) The value $x = 700$ makes the equation true because $700 + 1400 = 2000$
4) The value $x = 3500$ makes the equation true because $1400 + 2100 = 3500$

Layla Velazquez 2022-06-15

Solve the systems of equations
1) ${\begin{cases} 4 x - 3 y = - 1 \\ - 3 x + 4 y = 6 \end{cases}$
2) ${\begin{cases} 3 x - 2 y = - 1 \\ - x + 2 y = 3 \end{cases}$
3) ${\begin{cases} 3 x + 6 y = 6 \\ 2 x + 4 y = - 4 \end{cases}$
4) ${\begin{cases} - 3 x + 6 y = - 3 \\ 5 x - 10 y = 5 \end{cases}$

abbracciopj 2022-06-14

A factory makes tablet computers. The factory manager wants to develop an equation for the total daily cost of making t tablet computers. She discovers that the factory has fixed costs of 1, 500 dollars each day and each tablet computer require 48 dollars of supplies. Which equation represents the total daily cost of making t tablet computers?

1) 1, 500 + 48t
2) 48t – 1,500
3) 1,548t
4) 1, 452t

gnatopoditw 2022-06-13

To rent a certain meeting room, a college charges a reservation fee of 38 dollars and an additional fee of 8.40 dollars per hour. The film club wants to spend less than 96.80 dollars on renting the meeting room.
What are the possible amounts of time for which they could rent the meeting room? Use t for the number of hours the meeting room is rented, and solve for t.

Hector Petersen 2022-06-13

A plumber charges a service fee of $75 and a hourly rate (h) of $45. Which equation represents the cost (C) of the plumber's services?
$C = 75 + 45$
$C = 75 h + 45$
$C + 75 = 45 h$
$C = 75 + 45 h$

Erin Lozano 2022-06-10

Jacob weighs 64 pounds. Together, he and his sister weigh eight pounds more than two the weight of his sister. What is the weight, w, of Jacob’s sister?

1) 64 + w = 2w + 8; 56 pounds
2) 64 + w – 8 = 2w; 62 pounds
3) 64 + w = 2w; 64 pounds
4) 64 + w = 2w – 8; 72 pounds

Tanishq Kumar Malviya2022-06-09

1. Make a project on Real Life Situations where we find Application of Linear Equations in two Variables.

Misael Matthews 2022-06-05

A website offers mp3 downloads for a fee of $5 plus $0.15 for each song.
Which choice gives an expression that shows the cost in dollars for purchasing s songs?
1. $5 + 0.15 s$
2. $0.15 + 5 s$
3. $0.45 s$
4. $5.15 + s$

Cameron Pearson 2022-06-02

Eric's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Eric 5.70 dollars per pound, and type B coffee costs 4.60 dollars per pound. This month, Eric made 143 pounds of the blend, for a total cost of 759.00 dollars.
How many pounds of type A coffee did he use?

Estrella Le 2022-06-01

Find the real solution set
$(\sqrt[3]{x} - 1)^{3} + (\sqrt[3]{x} - 1)^{2} - 2 (\sqrt[3]{x} - 1) = 0$

ahmeir javonte2022-05-31

a line that includes (2,-8) has a slope of 1. What is its equation in slope-intercept form

Antoine Hill 2022-05-29

A ball is thrown from an initial height of 1 meter with an initial upward velocity of 20 m/s. The ball's height h (in meters) after t seconds is given by:
$h = 1 + 20 t - 5 t^{2}$
Find all values of t for which the ball's height is 6 meters.

Eliaszowyr1 2022-05-23

A Web music store offers two versions of a popular song. The size of the standard version is 2.4 megabytes. The size of the high-quality version is 4.6 MB. Yesterday, the high-quality version was downloaded twice as often as the standard version. The total size downloaded for the two versions was 2668 MB.
How many downloads of the standard version were there?

nileteenice 2022-05-23

Solve the system of equation, please
1. $4 x + 2 y = 46$
$20 x - 3 y = 9$
And
2. $8 x - 4 y = 4$
$2 x + 3 y = 61$

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

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