Translate the phrase: "Seven more than twice a number is thirty-one" into an algebraic equation.

Solve and check: 5x - 3(2x - 4) = 7.

Given the equations: $p=q+4$, $r=2q-1$, and $p+r=50$. Solve for the exact values of: $q$, $p$, and $r$.

Simplify the algebraic expression that arises when substituting x = 3 into the distributive expression 4(x + 2): what numeric value results after distributing and combining?

If the formula is F(x) = 2(x + 3) + 4(x − 1), combine like terms and simplify F(x).

The ideal gas law for a fixed amount of gas is pV = nRT. If n = 0.50 mol, R = 0.08206 L·atm/(mol·K), T = 300 K, compute pressure p when V = 12 L.

Which of the following correctly expresses the decimal $0.03$ as both a percentage and a fraction in simplest form?

An item costs $\$176$ after a $12\%$ discount has been applied to the original price. What was the original price?

A retailer purchases a smartphone for $\$450$, marks it up $25\%$, and then offers a $10\%$ discount on the marked price. What is the final sale price and the net percent increase over the original cost?

What is the correct decimal to use for 37.5% when inserting a percent into a mixture equation?

You need 200 grams of a 9% salt solution by mixing a 3% and a 12% solution. Let x = grams of 12% solution. Determine x and the grams of 3% solution required.

A fundraiser sold 300 tickets: child tickets \$6, adult tickets \$10, senior tickets \$8. Seniors equal half the number of children. Revenue was \$2,400. Find the number of each ticket type.