SAT Math: Algebra

7(2x-3)=63

Which equation has the same solution as the given equation?

The function $f$ is defined by $f(x) = 8x$. For what value of $x$ does $f(x) = 72$?

$\begin{array}{c} ax + by = 72 \\ 6x + 2by = 56 \end{array}$ In the given system of equations, $a$ and $b$ are constants. The graphs of these equations in the xy-plane intersect at the point $(4,y)$. What is the value of $a$?

Gabriella deposits $35 in a savings account at the end of each week. At the beginning of the 1st week of a year there was$600 in that savings account. How much money, in dollars, will be in the account at the end of the 4th week of that year?

What system of linear equations is represented by the lines shown?


The function $h$ is defined by $h(x) = 4x + 28$. The graph of $y = h(x)$ in the $xy$-plane has an $x$-intercept at $(a, 0)$ and a $y$-intercept at $(0, b)$, where $a$ and $b$ are constants. What is the value of $a + b$?

$d = 16 - \frac{x}{30}$

The equation shown gives the estimated amount of diesel $d$, in gallons, that remains in the gas tank of a truck after being driven $x$ miles, where $0 \leq x \leq 480$. What is the estimated amount of diesel, in gallons, that remains in the gas tank of the truck when $x = 300$?

The total cost $f(x)$, in dollars, to lease a car for $36$ months from a particular car dealership is given by $f(x) = {36}x + {1,000}$, where $x$ is the monthly payment, in dollars. What is the total cost to lease a car when the monthly payment is $400?