Boost Your Pre-Algebra Skills with Examples and Solutions

High School
Algebra
Pre-Algebra

Express the following rate as a fraction in lowest terms. For example, you would enter an answer of $\frac{12 f e e t}{5 \sec o n d s}$ with 12 and fett in the boxes above the fraction bar, then 5 and seconds in the bottom boxes.
RATE: $2 \frac{1}{2} c m f or 4 \frac{1}{4}$ hours.

EunoR 2021-09-28

Simplify each of the complex fractions. $\frac{(\frac{5}{x^{2}}) - (\frac{3}{x})}{(\frac{1}{y}) + (\frac{2}{y^{2}})}$ .

illusiia 2021-09-28

Solue using partial fractions
$F (S) = \frac{- 4 s}{{(s^{2} + 4)}^{2}}$

Ramsey 2021-09-28

Consider thefollowing fractions: $- \frac{1}{6}, - \frac{5}{8}, - \frac{7}{48}$
Rewrite all 3 fractions with the lowest common denominator.

BenoguigoliB 2021-09-27

Match the equivalent expression.
$\begin{array}{cc} 3 y + 12 & x - 3 y + 12 & 4 y + 3 y + 3 x - 6 y - 10 - 2 \\ 12 - 3 y - 2 x + x + 2 x & 3 x + 2 y - 2 x + y + 12 & x + 3 y + 12 \\ 3 x + y - 12 & 5 + 2 y + 7 x - 4 x + 3 y - 17 & x + 3 y + 2 x - 3 x + 7 + 5 \end{array}$
$? \leftrightarrow ?$
$? \leftrightarrow ?$
$? \leftrightarrow ?$
$? \leftrightarrow ?$

jernplate8 2021-09-27

Given: $\frac{5 x}{7 y} and \frac{20 x}{28 y}$

chillywilly12a 2021-09-27

How do you simplify a fraction?

Caelan 2021-09-27

The reduced row-echelon form of the augmented matrix for a system of linear equations with variables $x_{1}, \dots, x_{4}$ is given below. Determine the solutions for the system and enter them below.
$[\begin{matrix} 1 & 0 & - 1 & - 5 & | 0 \\ 0 & 1 & 3 & - 3 & | - 1 \end{matrix}]$
If the system has infinitely many solutions, select "The system has at least one solution". Your answer may use expressions involving the parameters r, s, and t.
The system has at least one solution
$x_{1} = 0$
$x_{2} = 0$
$x_{3} = 0$
$x_{4} = 0$

coexpennan 2021-09-27

Describe the strategy you would use to solve $\log_{6} x - \log_{6} 4 + \log_{6} 8$ .
a. Use the product rule to turn the right side of the equation into a single logarithm. Recognize that the resulting value is equal to x.
b. Express the equation in exponential form, set the exponents equal to each other and solve.
c. Use the fact that the logs have the same base to add the expressions on the right side of the equation together. Express the results in exponential form, set the exponents equal to each other and solve.
d. Use the fact that since both sides of the equations have logarithms with the same base to set the expressions equal to each other and solve.

Wribreeminsl 2021-09-26

Find the difference of $12 x - \frac{5}{2} x + 3$ and $8 x - \frac{11}{2} x + 3$

sjeikdom0 2021-09-26

Find the partial fraction decomposition.
$\frac{x^{2} + x - 6}{(x^{2} + 1) (x - 1)}$

Clifland 2021-09-26

1) Kareem lives $\frac{4}{10}$ of a mile from the mall. Write two equivalent fractions indicating how far Kareem's home is from the mall.
2) An electronics store sells a large flat screen television for 1,699. Last month, the store sold 8 of these television sets. About how much money did the televisions sell for?

facas9 2021-09-26

A population of bacteria is initially 6000. After three hours the population is 3000.
If this rate of decay continues, find the exponential function that represents the size of the bacteria population after t hours. Write your answer in the form $f (t) = a (b) t$ .
Use either fractions, or decimals rounded to 4 places

shadsiei 2021-09-25

Canning Tomato Products. Jaeger Foods produces tomato sauce and tomato paste, canned in small, medium, large, and giant-sized cans. The matrix A gives the size (in ounces) of each container.
$\begin{array}{cc} S m a l l & M e d i u m & L a r g e & G i a n t \\ O u n c e s & 6 & 10 & 14 & 28 \end{array} = A$
The matrix B tabulates one day's production of tomato sauce and tomato paste.
$\begin{array}{cc} C a n s o f s a u c e & C a n s o f p a s t e \\ S m a l l & 2000 & 2500 \\ M e d i u m & 3000 & 1500 \\ L a r g e & 2500 & 1000 \\ G i a n t & 1000 & 500 \end{array} = B$
a) Calculate the product AB.
b) Interpret the entries in the product matrix AB.

Tolnaio 2021-09-25

Without graphing, determine if the following system has no solution or infinitely many solutions.
${(x + 2)}^{2} + {(y - 1)}^{2} \leq 5$
${(x + 2)}^{2} + {(y - 1)}^{2} \geq 5$

sodni3 2021-09-25

$\log 15 (5) = a \log 15 (2) = b$ Note: 15 is the log base in this case Express $\log 15 (360)$ in terms of a and b. The final answer cannot have logs, fractions, or decimals.

amanf 2021-09-25

For exercise, solve the equations and inequalities. Write the solutions sets to the inequalities in interval notation if possible.
$\sqrt{t - 1} - 5 \leq 1$

postillan4 2021-09-25

Which scatterplot could have a trend line given by the equation y=−7x+90?

Mylo O'Moore 2021-09-24

How do I solve improper fractions?
a) $5 \frac{2}{5} = ?$
b) $4 \frac{1}{8} = ?$
c) $9 \frac{7}{8} = ?$

Daniaal Sanchez 2021-09-24

Determine if the given problem is an equation or an expression. If it is an equation, then solve. If it is an expression, then simplify.
$\frac{2 x + 1}{3} + \frac{3 x - 1}{5} = \frac{1}{10}$

Getting your pre Algebra solved becomes much easier when you have all the answers to your questions by taking a closer look at the various examples dealing with Pre-Algebra subjects. We have intentionally collected the list of pre-algebra equations and various solving equations with decimals problems to help you see various examples that explain how certain solutions are found. Still, if something sounds unclear or you are concerned about some solution that has been provided, approach pre-algebra with reverse engineering approach (going backwards).

Pre-Algebra

Improve Your Algebra Skills with Practice Problems