5.1 Real numbers: algebra essentials  (Page 10/35)

$4y+8=2y$

$\left(11a+3\right)-18a=\mathrm{-4}$

$4z-2z\left(1+4\right)=36$

$4y{\left(7-2\right)}^2=\mathrm{-200}$

$-{\left(2x\right)}^2+1=\mathrm{-3}$

$8\left(2+4\right)-15b=b$

$2\left(11c-4\right)=36$

$4\left(3-1\right)x=4$

$\frac{1}{4}\left(8w-4^2\right)=0$

$4x+x\left(13-7\right)$

$2y-{\left(4\right)}^{2}y-11$

$\frac{a}{2^3}\left(64\right)-12a÷6$

$8b-4b\left(3\right)+1$

$5l÷3l\times \left(9-6\right)$

$7z-3+z\times 6^2$

$4\times 3+18x÷9-12$

$9\left(y+8\right)-27$

$\left(\frac{9}{6}t-4\right)2$

$6+12b-3\times 6b$

$18y-2\left(1+7y\right)$

${\left(\frac{4}{9}\right)}^2\times 27x$

$8\left(3-m\right)+1\left(-8\right)$

$9x+4x\left(2+3\right)-4\left(2x+3x\right)$

$5^2-4\left(3x\right)$

Write the expression that represents the number of dollars Fred keeps (and does not put in his savings account). Remember the order of operations.

How much money does Fred keep?

According to the U.S. Mint, the diameter of a quarter is 0.955 inches. The circumference of the quarter would be the diameter multiplied by $\pi .$ Is the circumference of a quarter a whole number, a rational number, or an irrational number?

Jessica and her roommate, Adriana, have decided to share a change jar for joint expenses. Jessica put her loose change in the jar first, and then Adriana put her change in the jar. We know that it does not matter in which order the change was added to the jar. What property of addition describes this fact?

Write the equation that describes the situation.

Solve for g .

Ramon runs the marketing department at his company. His department gets a budget every year, and every year, he must spend the entire budget without going over. If he spends less than the budget, then his department gets a smaller budget the following year. At the beginning of this year, Ramon got $2.5 million for the annual marketing budget. He must spend the budget such that $\mathrm{2,500,000}-x=0.$ What property of addition tells us what the value of x must be?

$0.5{\left(12.3\right)}^2-48x=\frac{3}{5}$

${\left(0.25-0.75\right)}^{2}x-7.2=9.9$

If a whole number is not a natural number, what must the number be?

Determine whether the statement is true or false: The multiplicative inverse of a rational number is also rational.

Determine whether the statement is true or false: The product of a rational and irrational number is always irrational.

Determine whether the simplified expression is rational or irrational: $\sqrt{\mathrm{-18}-4\left(5\right)\left(\mathrm{-1}\right)}.$

Determine whether the simplified expression is rational or irrational: $\sqrt{\mathrm{-16}+4\left(5\right)+5}.$

The division of two whole numbers will always result in what type of number?

What property of real numbers would simplify the following expression: $4+7(x-1)?$