SAT Math Practice Set 14

x² = 81 * 49

What is the solution of the above equation?

Emily made consistent monthly deposits into her bank account. The function f(t) = 100 + 56t represents the amount, in dollars, in Emily’s account after t months of deposits. What does the value 56 signify in this situation?

Eddy purchased 15 identical hats at the same price each. After applying a $77 coupon, the total cost of the purchase became $43. What was the initial price, in dollars, for one hat?

Consider the scatterplot below:

What is the equation of the straight line that best fits the data on the given scatter plot?

30x + y = 58
18x + y = 82

What is the value of x in the solution represented as (x, y) for the provided system of equations?

For an isosceles right triangle with a hypotenuse measuring 53 inches, the total perimeter is 102 inches then what is the length of the two sides in inches?

Square A possesses a side length of x inches. Square B’s perimeter surpasses Square A’s perimeter by 176 inches. The function f yields the area of square A in square inches. Which among the following options correctly expresses the definition of f?

\frac{24y}{8x}=3\sqrt{\left(w+8\right)}

The provided equation establishes a connection between the unique positive real numbers w, x, and y. Which equation accurately represents w in relation to x and y?

The expression 7\sqrt[4]{4^4x^{24}}\ \ast\ \sqrt[6]{3^6} can be represented as ax^b, where a and b are positive constants and x > 1. What is the sum of a and b?

In the xy-plane, there exists a parabola with a vertex at (9, -14) and two intersections with the x-axis. If the equation of the parabola is represented as y = ax² + bx + c, where a, b, and c are constants, which of the given options is a plausible value for a + b + c in terms of a?