Improve Your Algebra Skills with Practice Problems

Find the unit price of the can of peanuts. $2.79 for 16 oz

Lee has saved 65% of the money she needs to buy a pair of jeans that cost $24. How much money does Lee have, and how much more money does she need to buy the jeans?

Susan's brother is 5 years more than as old as Susan. The product of their ages in years is 315. How old is Susan?

When multiplying decimals, how do you know where to place the decimal point? Think about this as you do parts (a) through (d) below. a. Write two equations for multiplying 0.3 by 0.16. One equation should express the factors and product using decimals, and one using fractions. b. In part (a), you multiplied tenths by hundredths to get thousandths. Do you always get thousandths if you multiply tenths by hundredths? Why or why not? What do you get if you multiply tenths by tenths? Hundredths by hundredths? Use several examples to justify your answers. c. When a multiplication problem is written using decimals, there is a relationship between the number of decimal places in the parts (or factors) of the problem and the number of decimal places in the answer (or product). Describe this relationship. d. Describe a shortcut for locating the decimal point in the answer to a problem involving decimal multiplication.

Multiply the decimal fractions.
$3.594\times 0.219$

${\displaystyle \frac{4}{3}=\left(\frac{2}{15}\right)j}$

Suppose that A and B are independent events such that $P(A)=0.10$ and $P(\overline{B})=0.20$
Find $P(A\cap B)$ and $P(A\cup B)$

Find three decimals that make the number sentence true. 1.75>____

What are the real numbers?

Is subtraction of decimals associative? If not, give a counterexample.

According to the Bureau of Labor Statistics, there were approximately 16.3 million workers in the year 2000 and 14.9 million workers in 2010. Consider the change in union workers to be linear and write an equation expressing the number y of union workers in terms of x of years since 2010.

Plutonium has a half-life of 23105 years. What percentage of a sample of Plutonium has decayed after 10000 years?

You decide to take guitar lessons. Each half-hour lesson costs $20. How much will you budget to pay for a half-hour lesson each week for 26 weeks?

What quantum numbers specify these subshells: $1s4p5d\cdots n=?l=?$

6% of 1,000 ___

Find the solution of the equation rounded to two decimals. 1) ${\displaystyle 3.02x+1.48=10.92}$ 2) ${\displaystyle 8.36-0.95x=9.97}$ 3) ${\displaystyle 2.15x-4.63=x+1.19}$

To add: ${\displaystyle 200.49+16.82+103.002}$

Find the value of x for the provided equation ${\displaystyle 0.09(x+200)=0.08x+22.}$