Boost Your Math Skills with our Equations and Inequalities Practice Problems

Solve the equations and inequalities below, if possible. Check your solutions. ${\displaystyle a.{(4x-2)}^2\le 100}$
${\displaystyle b.{(x-1)}^2=9}$
${\displaystyle c.x^2+x-20<0}$
${\displaystyle d.2x^2-6x=-5}$

In a school election. Yolanda got 160 more votes than Alex, and Alex got twice as many votes as Jennifer. A total of 440 votes were cast.

${\displaystyle 4(\sqrt{y}-1)=3}$

You can use similar triangles to find the height of a tree. Triangle ABC is similar to triangle DEC. What is the height of the tree?

Tracen en su cuaderno las siguientes en un plano cartesiano. Midan el angulo de inclinación de cada una. y=2x y=x y=4x y=0.1x y=1/2x y=30x y=1/3x y=3x

A coffee merchant sells three blends of coffee. A bag of houseblend contains 300 grams of Colombian beans, 50 grams of Kenyanbeans, and 150 grams of French roast beans. A bag of specialblend contains 200 grams of Colombian beans, 200 grams of Kenyanbeans, and 100 grams of French roast beans. A bag of Gourmet blend contains 100 grams of Colombian beans, 350 grams of Kenyanbeans and 50 grams of French roast beans. Merchant has on hand 30kg of Colombian beans, 15 kg of Kenyan beans and 15 kg of French roast beans. One bag of the house blend produces profit of $0.50 , onebag of the Special blend produces a profit of $1.50, and one bag ofthe gourmet blend produces a profit of $2.00. How many bags of eachtype should the merchant prepare if he wants to use up all of thebeans and maximize his profit? What is the maximum profit?

${\displaystyle \frac{3}{2x+3}-1(2x-3)=\frac{4}{4x^2-9}}$

The number of units N of a finished product produced by a particular automobile company where x units of labor and y units of capital are used is approximated by ${\displaystyle N=50x^{\frac{1}{2}}{y}^{\frac{1}{2}}}$
Estimate how many units will be produced using 256 units of labour and 144 units of capital.

given 2(x-3)=6 prove x=6

To make a box 3 inches deep, Tavon removes a 3-inch by 3-inch square from each corner of an x-inch by x-inch square of cardboard. Write a quadratic function A in standard form to model the area if the remaining cardboard after the corners are removed. Justify your answer.

${\displaystyle p-8÷\frac{1}{2}=-3}$

Simplify the expression.
${\displaystyle (5x+\frac{1}{2})+(6x-7\left(\frac{1}{2}\right))}$

${\displaystyle 310=3x^2-x}$

$\begin{array}{|ccc|}\hline \text{ Original Price }& \text{ Percent of Discount }& \text{ Sale Price}\\ \\ \$20& 20\mathrm{\%}& \$16\\ \\ \$95& 35\mathrm{\%}& \$41.75\\ \\ & 75\mathrm{\%}& \$55.50\\ \\ & 40\mathrm{\%}& \$78\\ \hline\end{array}$

Solve the equation 3a - 2b + 7 = 4a - 3b + 10 for a. Then solve the equation for b.

Solve for the value of x upto correct decimal approximation
${\displaystyle 4400=2000(1+\frac{0.045}{{\left(12\right)}^{12x}}}$
(solving this equation will determine the amount of time it takes an investment $2000 to grow $4400 if interest is 4.5% COMPOUNDED MONTHLY

Find a formula for s in terms of t if s is proportional to the square root of t, and s = 115 when t = 48. Round the value for the proportionality constant to three decimal places. Note that "s =" is already provided. Do not include this in your submitted response to this question.

Pete is making 8 identical fruit baskets as gifts. Each basket contains some apples and 12 oranges. Pete uses a total of 168 pieces of fruit to make the baskets. Determine the number of apples that are in each basket.

${\displaystyle \frac{c}{2}-10=6}$

Use the distributive property to write an equivalent variable expression. -9(2x + 12)