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

Kale Mcclain 2022-04-21

Solve for x
(a) $8^{2 - x} = 2$
(b) ${(\frac{1}{2})}^{x} < \frac{1}{8}$
(c) $5^{x} = 25^{x - 2}$
(d) $3^{x + 2} \geq 27$
(e) $4^{3 x} = 8^{x - 1}$

abiejose55d 2022-04-21

Solve for s
$- 6 r + 16 x = - 4$

livinglife100s8x 2022-04-21

Solve equations and inequalities:
$\log (3 x - 1) = \log (4 - x)$
$\log_{2} x^{3} = \log_{2} (x)$
$\ln 8 - x^{2} = \ln (2 - x)$
$\log_{518} - x^{2} = \log_{5} (6 - x)$

Dashawn Robbins 2022-04-21

Solve
$1 \leq x^{2} + y^{2} + z^{2} \leq 4$
$x^{2} + y^{2} + z^{2} \leq 4$ , $x \geq 0$

chingli20013a1 2022-04-20

If $\frac{n}{9} = 72$ , which of the equations is true?
1) $n = \frac{72}{9}$
2) $n = 72 \times 9$
3) $n = 9 \div 72$
4) $n = 72 + 9$

Davin Sheppard 2022-04-20

Solve inequality $- \frac{1}{2} \leq - \frac{1}{4} x - 5 < 2$

topoit8d 2022-04-20

Solve for $d_{2}$ , please:
$\frac{5 (d_{1} - d_{2})}{L} = W$

micelije1mw 2022-04-20

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

znacimavjo 2022-04-20

Solve equations and inequalities
$2 x^{2} - 11 x - 21 = 0$
$x^{2} + x \geq 2$

vacinammo288 2022-04-20

The length of a rectangle is six times its width. The perimeter of the rectangle is 112 yd. Find its length and width.

Naomi Hopkins 2022-04-19

Solve please
$\frac{x^{2} - 4}{x - 2} = 2$
$\frac{x + 4}{x - 2} = 0$
$\frac{x - 3}{x + 2} \geq 0$
$\frac{x + 2}{x + 3} < \frac{x - 1}{x - 2}$

eszkortwxp 2022-04-19

Solve for x with the use of quadratic formula
$4 x^{2} = 8 x + 1$

Ricardo Berger 2022-04-19

Solve for x using quadratic formula
$6 x^{2} + 2 x = 3$

gabolzm6d 2022-04-16

Jessica is going to rent a truck for one day. There are two companies she can choose from, and they have the following prices.
Company A charges $88 and allows unlimited mileage. Company B has an initial fee of $55 and charges an additional $0.60 for every mile driven. For what mileages will Company A charge less than Company B?
Use m for the number of miles driven, and solve for m.

Markelovnsl 2022-04-16

Jenny's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Jenny $4.80 per pound, and type B coffee costs $5.85 per pound. This month, Jenny made 155 pounds of the blend, for a total cost of $845.85. How many pounds of type A coffee did she use?

Eddie Clarke 2022-04-16

Katrina has a 120 dollar gift card. She paid 60 dollar for a new suitcase and wants to spend the rest on 10 dollars pairs of flip flops. What is the maximum number of pairs of flip flops she could purchase?

delitzo1d4 2022-04-14

Find the dimentions of the rectangle if the length is 1 ft more than double the wigth and the area is $66 f t^{2}$

Aliana Alvarez 2022-04-13

Maya will rent a car for the weekend. She can choose one of two plans. The first plan has no initial fee but costs $0.60 per mile driven and the second plan has an initial fee of $70 and costs an additional $0.40 per mile driven.
How many miles would Maya need to drive for the two plans to cost the same?

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