
n = 4 x + 1, and then try an easy number for x.Remember PEMDAS, the order of operations: The first thing to do here is deal with the Exponents, then we can take care of the Addition and Subtraction: –2 + 4 – (–8) + 16 – (–32), which simplifies to –2 + 4 + 8 + 16 + 32 = 58. Plug in the number given for a in the expression to find the value: –2 + (–2) 2 – (–2) 3 + (–2) 4 – (–2) 5. The question asks for the value of an expression for a certain value of the variable.

Negative exponents mean to take the reciprocal and apply the positive exponent. The question asks for the value of x in an equation with exponents. Be careful not to choose (D), which contains the value of b. There is no factor that 9 and 40 have in common, so the fraction cannot be reduced. Convert the fractions to a denominator of 40: 5/40 + 4/40 = 9/40. The lowest number that both 8 and 10 are factors of is 40. The question asks for the value of a in an equation with fractions. *** Practice makes perfect! Strengthen your skills with 10 Practice Tests for the SAT ,Īvailable here and wherever books are sold. If you see the answer before the last step above, you don’t need to combine the equations. The least possible value of the expression is 11. Finally, combine the equations to get the range for 4 r + 3. Now add 13 to each side of the equation: 4 r + 3 ≥ 11. Again, multiply both sides of the inequality by –1, switching the sign to get 4 r – 10 ≥ –2. Then solve the right side of the inequality. Treat each side of the inequality separately to avoid confusion. Notice that this question is asking for an expression instead of a variable, so manipulate the inequality so that you get 4 r + 3 in the inequality. The question asks for the least possible value of 4 r + 3. The second equation for (B) would be written as “the square of twice y,” which is not what the problem states. Notice that only the y needs to be squared, which is why (B) is wrong.

The second part says that “ x is twice the square of y,” which translates to x = 2 y 2, so eliminate (B) and (D), and (A) is the only choice left. The first part tells us that “the product of x and y is 76.” Since product means multiplication, the first equation must be xy = 76, so you can eliminate (C). Translate each statement, piece by piece. The question asks for a pair of equations to represent the situation. Check us out on Instagram, Facebook, and Twitter! Here's where you can find the correct answers-and explanations. We publish practice problems on our social media pages. Private Tutoring with Pass Assurance NEW.
